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+{"instance_id":"tom_tracking_0.5k_0","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Leon is in the playroom; Carol is in the pantry; the band-aid is on the playroom's pedestal; the tweezers is on the playroom's pedestal.\nStep 1: Leon moves to the pantry.\nStep 2: Carol moves to the playroom.\nStep 3: Leon moves to the playroom.\nStep 4: Carol moves to the pantry.\nStep 5: Leon moves the band-aid to the playroom's rack.\nStep 6: Carol moves to the playroom.\nStep 7: Leon moves to the pantry, and moves the tweezers to the pantry's pedestal.\nStep 8: Carol moves to the pantry, and moves the band-aid to the pantry's pedestal.\nStep 9: Leon moves the tweezers to the pantry's rack.\nStep 10: Carol moves the tweezers to the pantry's pedestal.\n\n[QUESTION]\nWhere does Leon believe the band-aid is?\n\n[YOUR ANSWER]","reference_output":"Leon's belief on the band-aid:\n- Step 0: (initial state) {Leon location: playroom; band-aid location: playroom's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: playroom's pedestal}\n- Step 1: (Leon location changed; band-aid location unchanged) {Leon location: pantry; band-aid location: playroom's pedestal; Leon sees band-aid: False; Leon's belief on band-aid: playroom's pedestal}\n- Step 2: (Leon location unchanged; band-aid location unchanged) {Leon location: pantry; band-aid location: playroom's pedestal; Leon sees band-aid: False; Leon's belief on band-aid: playroom's pedestal}\n- Step 3: (Leon location changed; band-aid location unchanged) {Leon location: playroom; band-aid location: playroom's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: playroom's pedestal}\n- Step 4: (Leon location unchanged; band-aid location unchanged) {Leon location: playroom; band-aid location: playroom's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: playroom's pedestal}\n- Step 5: (Leon location unchanged; band-aid location changed) {Leon location: playroom; band-aid location: playroom's rack; Leon sees band-aid: True; Leon's belief on band-aid: playroom's rack}\n- Step 6: (Leon location unchanged; band-aid location unchanged) {Leon location: playroom; band-aid location: playroom's rack; Leon sees band-aid: True; Leon's belief on band-aid: playroom's rack}\n- Step 7: (Leon location changed; band-aid location unchanged) {Leon location: pantry; band-aid location: playroom's rack; Leon sees band-aid: False; Leon's belief on band-aid: playroom's rack}\n- Step 8: (Leon location unchanged; band-aid location changed) {Leon location: pantry; band-aid location: pantry's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: pantry's pedestal}\n- Step 9: (Leon location unchanged; band-aid location unchanged) {Leon location: pantry; band-aid location: pantry's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: pantry's pedestal}\n- Step 10: (Leon location unchanged; band-aid location unchanged) {Leon location: pantry; band-aid location: pantry's pedestal; Leon sees band-aid: True; Leon's belief on band-aid: pantry's pedestal}\nFinal Answer: the pantry's pedestal","item":{"question":"Where does Leon believe the band-aid is?","story_components":"Agents: [Leon, Carol].\nObjects: [the band-aid, the tweezers].\nRooms: [the playroom, the pantry].\nContainers: [the playroom's rack, the playroom's pedestal, the pantry's rack, the pantry's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_1","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stephanie is in the bathroom; Molly is in the bedroom; the stamp is on the bathroom's stool; the toy car is on the bedroom's shelf.\nStep 1: Stephanie moves to the bedroom.\nStep 2: Molly moves to the bathroom, and moves the toy car to the bathroom's stool.\nStep 3: Molly moves the stamp to the bathroom's shelf.\nStep 4: Molly moves to the bedroom.\nStep 5: Stephanie moves to the bathroom.\nStep 6: Molly moves to the bathroom.\nStep 7: Stephanie moves to the bedroom, and moves the stamp to the bedroom's shelf.\nStep 8: Molly moves to the bedroom.\nStep 9: Stephanie moves to the bathroom, and moves the stamp to the bathroom's shelf.\nStep 10: Molly moves to the bathroom.\n\n[QUESTION]\nWhere does Molly believe the toy car is?\n\n[YOUR ANSWER]","reference_output":"Molly's belief on the toy car:\n- Step 0: (initial state) {Molly location: bedroom; toy car location: bedroom's shelf; Molly sees toy car: True; Molly's belief on toy car: bedroom's shelf}\n- Step 1: (Molly location unchanged; toy car location unchanged) {Molly location: bedroom; toy car location: bedroom's shelf; Molly sees toy car: True; Molly's belief on toy car: bedroom's shelf}\n- Step 2: (Molly location changed; toy car location changed) {Molly location: bathroom; toy car location: bathroom's stool; Molly sees toy car: True; Molly's belief on toy car: bathroom's stool}\n- Step 3: (Molly location unchanged; toy car location unchanged) {Molly location: bathroom; toy car location: bathroom's stool; Molly sees toy car: True; Molly's belief on toy car: bathroom's stool}\n- Step 4: (Molly location changed; toy car location unchanged) {Molly location: bedroom; toy car location: bathroom's stool; Molly sees toy car: False; Molly's belief on toy car: bathroom's stool}\n- Step 5: (Molly location unchanged; toy car location unchanged) {Molly location: bedroom; toy car location: bathroom's stool; Molly sees toy car: False; Molly's belief on toy car: bathroom's stool}\n- Step 6: (Molly location changed; toy car location unchanged) {Molly location: bathroom; toy car location: bathroom's stool; Molly sees toy car: True; Molly's belief on toy car: bathroom's stool}\n- Step 7: (Molly location unchanged; toy car location unchanged) {Molly location: bathroom; toy car location: bathroom's stool; Molly sees toy car: True; Molly's belief on toy car: bathroom's stool}\n- Step 8: (Molly location changed; toy car location unchanged) {Molly location: bedroom; toy car location: bathroom's stool; Molly sees toy car: False; Molly's belief on toy car: bathroom's stool}\n- Step 9: (Molly location unchanged; toy car location unchanged) {Molly location: bedroom; toy car location: bathroom's stool; Molly sees toy car: False; Molly's belief on toy car: bathroom's stool}\n- Step 10: (Molly location changed; toy car location unchanged) {Molly location: bathroom; toy car location: bathroom's stool; Molly sees toy car: True; Molly's belief on toy car: bathroom's stool}\nFinal Answer: the bathroom's stool","item":{"question":"Where does Molly believe the toy car is?","story_components":"Agents: [Stephanie, Molly].\nObjects: [the stamp, the toy car].\nRooms: [the bathroom, the bedroom].\nContainers: [the bathroom's shelf, the bathroom's stool, the bedroom's shelf, the bedroom's stool]"}}
+{"instance_id":"tom_tracking_0.5k_2","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Selena is in the laundry room; Laurie is in the laundry room; the spoon is on the lounge's ledge; the golf ball is on the lounge's windowsill.\nStep 1: Selena moves to the lounge.\nStep 2: Laurie moves to the lounge.\nStep 3: Selena moves to the laundry room, and moves the golf ball to the laundry room's windowsill.\nStep 4: Laurie moves to the laundry room, and moves the spoon to the laundry room's windowsill.\nStep 5: Selena moves to the lounge.\nStep 6: Laurie moves to the lounge, and moves the golf ball to the lounge's windowsill.\nStep 7: Selena moves the golf ball to the lounge's ledge.\nStep 8: Laurie moves the golf ball to the lounge's windowsill.\nStep 9: Selena moves to the laundry room.\nStep 10: Laurie leaves the room he was in.\n\n[QUESTION]\nWhere does Laurie believe the spoon is?\n\n[YOUR ANSWER]","reference_output":"Laurie's belief on the spoon:\n- Step 0: (initial state) {Laurie location: laundry room; spoon location: lounge's ledge; Laurie sees spoon: False; Laurie's belief on spoon: None}\n- Step 1: (Laurie location unchanged; spoon location unchanged) {Laurie location: laundry room; spoon location: lounge's ledge; Laurie sees spoon: False; Laurie's belief on spoon: None}\n- Step 2: (Laurie location changed; spoon location unchanged) {Laurie location: lounge; spoon location: lounge's ledge; Laurie sees spoon: True; Laurie's belief on spoon: lounge's ledge}\n- Step 3: (Laurie location unchanged; spoon location unchanged) {Laurie location: lounge; spoon location: lounge's ledge; Laurie sees spoon: True; Laurie's belief on spoon: lounge's ledge}\n- Step 4: (Laurie location changed; spoon location changed) {Laurie location: laundry room; spoon location: laundry room's windowsill; Laurie sees spoon: True; Laurie's belief on spoon: laundry room's windowsill}\n- Step 5: (Laurie location unchanged; spoon location unchanged) {Laurie location: laundry room; spoon location: laundry room's windowsill; Laurie sees spoon: True; Laurie's belief on spoon: laundry room's windowsill}\n- Step 6: (Laurie location changed; spoon location unchanged) {Laurie location: lounge; spoon location: laundry room's windowsill; Laurie sees spoon: False; Laurie's belief on spoon: laundry room's windowsill}\n- Step 7: (Laurie location unchanged; spoon location unchanged) {Laurie location: lounge; spoon location: laundry room's windowsill; Laurie sees spoon: False; Laurie's belief on spoon: laundry room's windowsill}\n- Step 8: (Laurie location unchanged; spoon location unchanged) {Laurie location: lounge; spoon location: laundry room's windowsill; Laurie sees spoon: False; Laurie's belief on spoon: laundry room's windowsill}\n- Step 9: (Laurie location unchanged; spoon location unchanged) {Laurie location: lounge; spoon location: laundry room's windowsill; Laurie sees spoon: False; Laurie's belief on spoon: laundry room's windowsill}\n- Step 10: (Laurie location changed; spoon location unchanged) {Laurie location: None; spoon location: laundry room's windowsill; Laurie sees spoon: False; Laurie's belief on spoon: laundry room's windowsill}\nFinal Answer: the laundry room's windowsill","item":{"question":"Where does Laurie believe the spoon is?","story_components":"Agents: [Selena, Laurie].\nObjects: [the spoon, the golf ball].\nRooms: [the lounge, the laundry room].\nContainers: [the lounge's ledge, the lounge's windowsill, the laundry room's ledge, the laundry room's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_3","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Savannah is in the lounge; Kathryn is in the lounge; the playing marble is on the lounge's console table; the knife is on the dining room's console table.\nStep 1: Savannah moves to the dining room, and moves the playing marble to the dining room's workbench.\nStep 2: Savannah moves to the lounge.\nStep 3: Savannah moves to the dining room.\nStep 4: Savannah moves the knife to the dining room's workbench.\nStep 5: Savannah leaves the room he was in.\nStep 6: Kathryn moves to the dining room.\nStep 7: Savannah enters the lounge.\nStep 8: Kathryn moves to the lounge, and moves the playing marble to the lounge's console table.\nStep 9: Savannah leaves the room he was in.\nStep 10: Kathryn moves the playing marble to the lounge's workbench.\n\n[QUESTION]\nWhere does Savannah believe the knife is?\n\n[YOUR ANSWER]","reference_output":"Savannah's belief on the knife:\n- Step 0: (initial state) {Savannah location: lounge; knife location: dining room's console table; Savannah sees knife: False; Savannah's belief on knife: None}\n- Step 1: (Savannah location changed; knife location unchanged) {Savannah location: dining room; knife location: dining room's console table; Savannah sees knife: True; Savannah's belief on knife: dining room's console table}\n- Step 2: (Savannah location changed; knife location unchanged) {Savannah location: lounge; knife location: dining room's console table; Savannah sees knife: False; Savannah's belief on knife: dining room's console table}\n- Step 3: (Savannah location changed; knife location unchanged) {Savannah location: dining room; knife location: dining room's console table; Savannah sees knife: True; Savannah's belief on knife: dining room's console table}\n- Step 4: (Savannah location unchanged; knife location changed) {Savannah location: dining room; knife location: dining room's workbench; Savannah sees knife: True; Savannah's belief on knife: dining room's workbench}\n- Step 5: (Savannah location changed; knife location unchanged) {Savannah location: None; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\n- Step 6: (Savannah location unchanged; knife location unchanged) {Savannah location: None; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\n- Step 7: (Savannah location changed; knife location unchanged) {Savannah location: lounge; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\n- Step 8: (Savannah location unchanged; knife location unchanged) {Savannah location: lounge; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\n- Step 9: (Savannah location changed; knife location unchanged) {Savannah location: None; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\n- Step 10: (Savannah location unchanged; knife location unchanged) {Savannah location: None; knife location: dining room's workbench; Savannah sees knife: False; Savannah's belief on knife: dining room's workbench}\nFinal Answer: the dining room's workbench","item":{"question":"Where does Savannah believe the knife is?","story_components":"Agents: [Savannah, Kathryn].\nObjects: [the playing marble, the knife].\nRooms: [the dining room, the lounge].\nContainers: [the dining room's workbench, the dining room's console table, the lounge's workbench, the lounge's console table]"}}
+{"instance_id":"tom_tracking_0.5k_4","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kevin is in the pantry; Robert is in the study; the flashlight is on the study's desk; the dice is on the study's tv stand.\nStep 1: Kevin moves to the study.\nStep 2: Robert moves the dice to the study's desk.\nStep 3: Kevin leaves the room he was in.\nStep 4: Robert moves the flashlight to the study's tv stand.\nStep 5: Kevin enters the pantry.\nStep 6: Robert leaves the room he was in.\nStep 7: Kevin moves to the study.\nStep 8: Robert enters the study.\nStep 9: Kevin moves to the pantry, and moves the dice to the pantry's desk.\nStep 10: Robert moves the flashlight to the study's desk.\n\n[QUESTION]\nWhere does Robert believe the flashlight is?\n\n[YOUR ANSWER]","reference_output":"Robert's belief on the flashlight:\n- Step 0: (initial state) {Robert location: study; flashlight location: study's desk; Robert sees flashlight: True; Robert's belief on flashlight: study's desk}\n- Step 1: (Robert location unchanged; flashlight location unchanged) {Robert location: study; flashlight location: study's desk; Robert sees flashlight: True; Robert's belief on flashlight: study's desk}\n- Step 2: (Robert location unchanged; flashlight location unchanged) {Robert location: study; flashlight location: study's desk; Robert sees flashlight: True; Robert's belief on flashlight: study's desk}\n- Step 3: (Robert location unchanged; flashlight location unchanged) {Robert location: study; flashlight location: study's desk; Robert sees flashlight: True; Robert's belief on flashlight: study's desk}\n- Step 4: (Robert location unchanged; flashlight location changed) {Robert location: study; flashlight location: study's tv stand; Robert sees flashlight: True; Robert's belief on flashlight: study's tv stand}\n- Step 5: (Robert location unchanged; flashlight location unchanged) {Robert location: study; flashlight location: study's tv stand; Robert sees flashlight: True; Robert's belief on flashlight: study's tv stand}\n- Step 6: (Robert location changed; flashlight location unchanged) {Robert location: None; flashlight location: study's tv stand; Robert sees flashlight: False; Robert's belief on flashlight: study's tv stand}\n- Step 7: (Robert location unchanged; flashlight location unchanged) {Robert location: None; flashlight location: study's tv stand; Robert sees flashlight: False; Robert's belief on flashlight: study's tv stand}\n- Step 8: (Robert location changed; flashlight location unchanged) {Robert location: study; flashlight location: study's tv stand; Robert sees flashlight: True; Robert's belief on flashlight: study's tv stand}\n- Step 9: (Robert location unchanged; flashlight location unchanged) {Robert location: study; flashlight location: study's tv stand; Robert sees flashlight: True; Robert's belief on flashlight: study's tv stand}\n- Step 10: (Robert location unchanged; flashlight location changed) {Robert location: study; flashlight location: study's desk; Robert sees flashlight: True; Robert's belief on flashlight: study's desk}\nFinal Answer: the study's desk","item":{"question":"Where does Robert believe the flashlight is?","story_components":"Agents: [Kevin, Robert].\nObjects: [the flashlight, the dice].\nRooms: [the study, the pantry].\nContainers: [the study's desk, the study's tv stand, the pantry's desk, the pantry's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_5","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Austin is in the hallway; Reginald is in the hallway; the puzzle piece is on the hallway's podium; the phone is on the hallway's podium.\nStep 1: Austin moves to the bathroom.\nStep 2: Reginald moves to the bathroom.\nStep 3: Austin moves to the hallway.\nStep 4: Reginald moves to the hallway.\nStep 5: Austin moves the puzzle piece to the hallway's desk.\nStep 6: Reginald moves to the bathroom.\nStep 7: Austin moves the phone to the hallway's desk.\nStep 8: Reginald moves to the hallway.\nStep 9: Austin moves to the bathroom.\nStep 10: Reginald leaves the room he was in.\n\n[QUESTION]\nWhere does Reginald believe the puzzle piece is?\n\n[YOUR ANSWER]","reference_output":"Reginald's belief on the puzzle piece:\n- Step 0: (initial state) {Reginald location: hallway; puzzle piece location: hallway's podium; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's podium}\n- Step 1: (Reginald location unchanged; puzzle piece location unchanged) {Reginald location: hallway; puzzle piece location: hallway's podium; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's podium}\n- Step 2: (Reginald location changed; puzzle piece location unchanged) {Reginald location: bathroom; puzzle piece location: hallway's podium; Reginald sees puzzle piece: False; Reginald's belief on puzzle piece: hallway's podium}\n- Step 3: (Reginald location unchanged; puzzle piece location unchanged) {Reginald location: bathroom; puzzle piece location: hallway's podium; Reginald sees puzzle piece: False; Reginald's belief on puzzle piece: hallway's podium}\n- Step 4: (Reginald location changed; puzzle piece location unchanged) {Reginald location: hallway; puzzle piece location: hallway's podium; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's podium}\n- Step 5: (Reginald location unchanged; puzzle piece location changed) {Reginald location: hallway; puzzle piece location: hallway's desk; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's desk}\n- Step 6: (Reginald location changed; puzzle piece location unchanged) {Reginald location: bathroom; puzzle piece location: hallway's desk; Reginald sees puzzle piece: False; Reginald's belief on puzzle piece: hallway's desk}\n- Step 7: (Reginald location unchanged; puzzle piece location unchanged) {Reginald location: bathroom; puzzle piece location: hallway's desk; Reginald sees puzzle piece: False; Reginald's belief on puzzle piece: hallway's desk}\n- Step 8: (Reginald location changed; puzzle piece location unchanged) {Reginald location: hallway; puzzle piece location: hallway's desk; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's desk}\n- Step 9: (Reginald location unchanged; puzzle piece location unchanged) {Reginald location: hallway; puzzle piece location: hallway's desk; Reginald sees puzzle piece: True; Reginald's belief on puzzle piece: hallway's desk}\n- Step 10: (Reginald location changed; puzzle piece location unchanged) {Reginald location: None; puzzle piece location: hallway's desk; Reginald sees puzzle piece: False; Reginald's belief on puzzle piece: hallway's desk}\nFinal Answer: the hallway's desk","item":{"question":"Where does Reginald believe the puzzle piece is?","story_components":"Agents: [Austin, Reginald].\nObjects: [the puzzle piece, the phone].\nRooms: [the bathroom, the hallway].\nContainers: [the bathroom's podium, the bathroom's desk, the hallway's podium, the hallway's desk]"}}
+{"instance_id":"tom_tracking_0.5k_6","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Diana is in the foyer; Selena is in the foyer; the contact lens case is on the foyer's desk; the chewing gum is on the sunroom's desk.\nStep 1: Diana leaves the room he was in.\nStep 2: Selena moves the contact lens case to the foyer's mantel.\nStep 3: Diana enters the foyer.\nStep 4: Selena moves the contact lens case to the foyer's desk.\nStep 5: Diana leaves the room he was in.\nStep 6: Selena moves the contact lens case to the foyer's mantel.\nStep 7: Diana enters the foyer.\nStep 8: Selena leaves the room he was in.\nStep 9: Diana moves the contact lens case to the foyer's desk.\nStep 10: Selena enters the sunroom.\n\n[QUESTION]\nWhere does Diana believe the contact lens case is?\n\n[YOUR ANSWER]","reference_output":"Diana's belief on the contact lens case:\n- Step 0: (initial state) {Diana location: foyer; contact lens case location: foyer's desk; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's desk}\n- Step 1: (Diana location changed; contact lens case location unchanged) {Diana location: None; contact lens case location: foyer's desk; Diana sees contact lens case: False; Diana's belief on contact lens case: foyer's desk}\n- Step 2: (Diana location unchanged; contact lens case location changed) {Diana location: None; contact lens case location: foyer's mantel; Diana sees contact lens case: False; Diana's belief on contact lens case: foyer's desk}\n- Step 3: (Diana location changed; contact lens case location unchanged) {Diana location: foyer; contact lens case location: foyer's mantel; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's mantel}\n- Step 4: (Diana location unchanged; contact lens case location changed) {Diana location: foyer; contact lens case location: foyer's desk; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's desk}\n- Step 5: (Diana location changed; contact lens case location unchanged) {Diana location: None; contact lens case location: foyer's desk; Diana sees contact lens case: False; Diana's belief on contact lens case: foyer's desk}\n- Step 6: (Diana location unchanged; contact lens case location changed) {Diana location: None; contact lens case location: foyer's mantel; Diana sees contact lens case: False; Diana's belief on contact lens case: foyer's desk}\n- Step 7: (Diana location changed; contact lens case location unchanged) {Diana location: foyer; contact lens case location: foyer's mantel; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's mantel}\n- Step 8: (Diana location unchanged; contact lens case location unchanged) {Diana location: foyer; contact lens case location: foyer's mantel; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's mantel}\n- Step 9: (Diana location unchanged; contact lens case location changed) {Diana location: foyer; contact lens case location: foyer's desk; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's desk}\n- Step 10: (Diana location unchanged; contact lens case location unchanged) {Diana location: foyer; contact lens case location: foyer's desk; Diana sees contact lens case: True; Diana's belief on contact lens case: foyer's desk}\nFinal Answer: the foyer's desk","item":{"question":"Where does Diana believe the contact lens case is?","story_components":"Agents: [Diana, Selena].\nObjects: [the contact lens case, the chewing gum].\nRooms: [the foyer, the sunroom].\nContainers: [the foyer's desk, the foyer's mantel, the sunroom's desk, the sunroom's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_7","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the dining room; Patricia is in the library; the wallet is on the dining room's stool; the pill bottle is on the library's counter.\nStep 1: Christine leaves the room he was in.\nStep 2: Patricia leaves the room he was in.\nStep 3: Christine enters the library.\nStep 4: Patricia enters the dining room.\nStep 5: Christine leaves the room he was in.\nStep 6: Patricia moves the wallet to the dining room's counter.\nStep 7: Christine enters the dining room.\nStep 8: Patricia moves the wallet to the dining room's stool.\nStep 9: Christine moves to the library.\nStep 10: Patricia moves the wallet to the dining room's counter.\n\n[QUESTION]\nWhere does Patricia believe the wallet is?\n\n[YOUR ANSWER]","reference_output":"Patricia's belief on the wallet:\n- Step 0: (initial state) {Patricia location: library; wallet location: dining room's stool; Patricia sees wallet: False; Patricia's belief on wallet: None}\n- Step 1: (Patricia location unchanged; wallet location unchanged) {Patricia location: library; wallet location: dining room's stool; Patricia sees wallet: False; Patricia's belief on wallet: None}\n- Step 2: (Patricia location changed; wallet location unchanged) {Patricia location: None; wallet location: dining room's stool; Patricia sees wallet: False; Patricia's belief on wallet: None}\n- Step 3: (Patricia location unchanged; wallet location unchanged) {Patricia location: None; wallet location: dining room's stool; Patricia sees wallet: False; Patricia's belief on wallet: None}\n- Step 4: (Patricia location changed; wallet location unchanged) {Patricia location: dining room; wallet location: dining room's stool; Patricia sees wallet: True; Patricia's belief on wallet: dining room's stool}\n- Step 5: (Patricia location unchanged; wallet location unchanged) {Patricia location: dining room; wallet location: dining room's stool; Patricia sees wallet: True; Patricia's belief on wallet: dining room's stool}\n- Step 6: (Patricia location unchanged; wallet location changed) {Patricia location: dining room; wallet location: dining room's counter; Patricia sees wallet: True; Patricia's belief on wallet: dining room's counter}\n- Step 7: (Patricia location unchanged; wallet location unchanged) {Patricia location: dining room; wallet location: dining room's counter; Patricia sees wallet: True; Patricia's belief on wallet: dining room's counter}\n- Step 8: (Patricia location unchanged; wallet location changed) {Patricia location: dining room; wallet location: dining room's stool; Patricia sees wallet: True; Patricia's belief on wallet: dining room's stool}\n- Step 9: (Patricia location unchanged; wallet location unchanged) {Patricia location: dining room; wallet location: dining room's stool; Patricia sees wallet: True; Patricia's belief on wallet: dining room's stool}\n- Step 10: (Patricia location unchanged; wallet location changed) {Patricia location: dining room; wallet location: dining room's counter; Patricia sees wallet: True; Patricia's belief on wallet: dining room's counter}\nFinal Answer: the dining room's counter","item":{"question":"Where does Patricia believe the wallet is?","story_components":"Agents: [Christine, Patricia].\nObjects: [the wallet, the pill bottle].\nRooms: [the dining room, the library].\nContainers: [the dining room's stool, the dining room's counter, the library's stool, the library's counter]"}}
+{"instance_id":"tom_tracking_0.5k_8","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Evan is in the balcony; Jonathan is in the balcony; the key fob is on the mudroom's coffee table; the thread spool is on the mudroom's coffee table.\nStep 1: Evan moves to the mudroom.\nStep 2: Evan leaves the room he was in.\nStep 3: Evan enters the balcony.\nStep 4: Jonathan moves to the mudroom.\nStep 5: Jonathan moves the key fob to the mudroom's windowsill.\nStep 6: Jonathan moves the thread spool to the mudroom's windowsill.\nStep 7: Evan moves to the mudroom.\nStep 8: Jonathan leaves the room he was in.\nStep 9: Evan moves to the balcony, and moves the thread spool to the balcony's windowsill.\nStep 10: Jonathan enters the mudroom.\n\n[QUESTION]\nWhere does Evan believe the key fob is?\n\n[YOUR ANSWER]","reference_output":"Evan's belief on the key fob:\n- Step 0: (initial state) {Evan location: balcony; key fob location: mudroom's coffee table; Evan sees key fob: False; Evan's belief on key fob: None}\n- Step 1: (Evan location changed; key fob location unchanged) {Evan location: mudroom; key fob location: mudroom's coffee table; Evan sees key fob: True; Evan's belief on key fob: mudroom's coffee table}\n- Step 2: (Evan location changed; key fob location unchanged) {Evan location: None; key fob location: mudroom's coffee table; Evan sees key fob: False; Evan's belief on key fob: mudroom's coffee table}\n- Step 3: (Evan location changed; key fob location unchanged) {Evan location: balcony; key fob location: mudroom's coffee table; Evan sees key fob: False; Evan's belief on key fob: mudroom's coffee table}\n- Step 4: (Evan location unchanged; key fob location unchanged) {Evan location: balcony; key fob location: mudroom's coffee table; Evan sees key fob: False; Evan's belief on key fob: mudroom's coffee table}\n- Step 5: (Evan location unchanged; key fob location changed) {Evan location: balcony; key fob location: mudroom's windowsill; Evan sees key fob: False; Evan's belief on key fob: mudroom's coffee table}\n- Step 6: (Evan location unchanged; key fob location unchanged) {Evan location: balcony; key fob location: mudroom's windowsill; Evan sees key fob: False; Evan's belief on key fob: mudroom's coffee table}\n- Step 7: (Evan location changed; key fob location unchanged) {Evan location: mudroom; key fob location: mudroom's windowsill; Evan sees key fob: True; Evan's belief on key fob: mudroom's windowsill}\n- Step 8: (Evan location unchanged; key fob location unchanged) {Evan location: mudroom; key fob location: mudroom's windowsill; Evan sees key fob: True; Evan's belief on key fob: mudroom's windowsill}\n- Step 9: (Evan location changed; key fob location unchanged) {Evan location: balcony; key fob location: mudroom's windowsill; Evan sees key fob: False; Evan's belief on key fob: mudroom's windowsill}\n- Step 10: (Evan location unchanged; key fob location unchanged) {Evan location: balcony; key fob location: mudroom's windowsill; Evan sees key fob: False; Evan's belief on key fob: mudroom's windowsill}\nFinal Answer: the mudroom's windowsill","item":{"question":"Where does Evan believe the key fob is?","story_components":"Agents: [Evan, Jonathan].\nObjects: [the key fob, the thread spool].\nRooms: [the mudroom, the balcony].\nContainers: [the mudroom's coffee table, the mudroom's windowsill, the balcony's coffee table, the balcony's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_9","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stacey is in the foyer; Rebecca is in the foyer; the mini comb is on the foyer's pallet; the pen cap is on the bedroom's pallet.\nStep 1: Stacey moves to the bedroom.\nStep 2: Rebecca moves to the bedroom, and moves the mini comb to the bedroom's pallet.\nStep 3: Stacey moves to the foyer, and moves the pen cap to the foyer's pallet.\nStep 4: Rebecca moves to the foyer, and moves the mini comb to the foyer's shelf.\nStep 5: Stacey moves the pen cap to the foyer's shelf.\nStep 6: Rebecca leaves the room he was in.\nStep 7: Stacey moves to the bedroom.\nStep 8: Rebecca enters the bedroom.\nStep 9: Stacey moves to the foyer.\nStep 10: Stacey moves to the bedroom, and moves the mini comb to the bedroom's shelf.\n\n[QUESTION]\nWhere does Stacey believe the pen cap is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the pen cap:\n- Step 0: (initial state) {Stacey location: foyer; pen cap location: bedroom's pallet; Stacey sees pen cap: False; Stacey's belief on pen cap: None}\n- Step 1: (Stacey location changed; pen cap location unchanged) {Stacey location: bedroom; pen cap location: bedroom's pallet; Stacey sees pen cap: True; Stacey's belief on pen cap: bedroom's pallet}\n- Step 2: (Stacey location unchanged; pen cap location unchanged) {Stacey location: bedroom; pen cap location: bedroom's pallet; Stacey sees pen cap: True; Stacey's belief on pen cap: bedroom's pallet}\n- Step 3: (Stacey location changed; pen cap location changed) {Stacey location: foyer; pen cap location: foyer's pallet; Stacey sees pen cap: True; Stacey's belief on pen cap: foyer's pallet}\n- Step 4: (Stacey location unchanged; pen cap location unchanged) {Stacey location: foyer; pen cap location: foyer's pallet; Stacey sees pen cap: True; Stacey's belief on pen cap: foyer's pallet}\n- Step 5: (Stacey location unchanged; pen cap location changed) {Stacey location: foyer; pen cap location: foyer's shelf; Stacey sees pen cap: True; Stacey's belief on pen cap: foyer's shelf}\n- Step 6: (Stacey location unchanged; pen cap location unchanged) {Stacey location: foyer; pen cap location: foyer's shelf; Stacey sees pen cap: True; Stacey's belief on pen cap: foyer's shelf}\n- Step 7: (Stacey location changed; pen cap location unchanged) {Stacey location: bedroom; pen cap location: foyer's shelf; Stacey sees pen cap: False; Stacey's belief on pen cap: foyer's shelf}\n- Step 8: (Stacey location unchanged; pen cap location unchanged) {Stacey location: bedroom; pen cap location: foyer's shelf; Stacey sees pen cap: False; Stacey's belief on pen cap: foyer's shelf}\n- Step 9: (Stacey location changed; pen cap location unchanged) {Stacey location: foyer; pen cap location: foyer's shelf; Stacey sees pen cap: True; Stacey's belief on pen cap: foyer's shelf}\n- Step 10: (Stacey location changed; pen cap location unchanged) {Stacey location: bedroom; pen cap location: foyer's shelf; Stacey sees pen cap: False; Stacey's belief on pen cap: foyer's shelf}\nFinal Answer: the foyer's shelf","item":{"question":"Where does Stacey believe the pen cap is?","story_components":"Agents: [Stacey, Rebecca].\nObjects: [the mini comb, the pen cap].\nRooms: [the foyer, the bedroom].\nContainers: [the foyer's shelf, the foyer's pallet, the bedroom's shelf, the bedroom's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_10","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Lindsey is in the sauna; Alicia is in the sauna; the bookmark is on the sauna's bench; the safety pin is on the study's display case.\nStep 1: Lindsey moves the bookmark to the sauna's display case.\nStep 2: Alicia moves to the study, and moves the bookmark to the study's bench.\nStep 3: Lindsey moves to the study.\nStep 4: Alicia moves to the sauna, and moves the safety pin to the sauna's display case.\nStep 5: Lindsey leaves the room he was in.\nStep 6: Alicia moves to the study.\nStep 7: Lindsey enters the sauna.\nStep 8: Alicia leaves the room he was in.\nStep 9: Lindsey moves the safety pin to the sauna's bench.\nStep 10: Alicia enters the study.\n\n[QUESTION]\nWhere does Alicia believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Alicia's belief on the bookmark:\n- Step 0: (initial state) {Alicia location: sauna; bookmark location: sauna's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: sauna's bench}\n- Step 1: (Alicia location unchanged; bookmark location changed) {Alicia location: sauna; bookmark location: sauna's display case; Alicia sees bookmark: True; Alicia's belief on bookmark: sauna's display case}\n- Step 2: (Alicia location changed; bookmark location changed) {Alicia location: study; bookmark location: study's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: study's bench}\n- Step 3: (Alicia location unchanged; bookmark location unchanged) {Alicia location: study; bookmark location: study's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: study's bench}\n- Step 4: (Alicia location changed; bookmark location unchanged) {Alicia location: sauna; bookmark location: study's bench; Alicia sees bookmark: False; Alicia's belief on bookmark: study's bench}\n- Step 5: (Alicia location unchanged; bookmark location unchanged) {Alicia location: sauna; bookmark location: study's bench; Alicia sees bookmark: False; Alicia's belief on bookmark: study's bench}\n- Step 6: (Alicia location changed; bookmark location unchanged) {Alicia location: study; bookmark location: study's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: study's bench}\n- Step 7: (Alicia location unchanged; bookmark location unchanged) {Alicia location: study; bookmark location: study's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: study's bench}\n- Step 8: (Alicia location changed; bookmark location unchanged) {Alicia location: None; bookmark location: study's bench; Alicia sees bookmark: False; Alicia's belief on bookmark: study's bench}\n- Step 9: (Alicia location unchanged; bookmark location unchanged) {Alicia location: None; bookmark location: study's bench; Alicia sees bookmark: False; Alicia's belief on bookmark: study's bench}\n- Step 10: (Alicia location changed; bookmark location unchanged) {Alicia location: study; bookmark location: study's bench; Alicia sees bookmark: True; Alicia's belief on bookmark: study's bench}\nFinal Answer: the study's bench","item":{"question":"Where does Alicia believe the bookmark is?","story_components":"Agents: [Lindsey, Alicia].\nObjects: [the bookmark, the safety pin].\nRooms: [the sauna, the study].\nContainers: [the sauna's bench, the sauna's display case, the study's bench, the study's display case]"}}
+{"instance_id":"tom_tracking_0.5k_11","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Breanna is in the dining room; Gregory is in the sauna; the medal is on the dining room's credenza; the glasses is on the sauna's stool.\nStep 1: Breanna moves to the sauna.\nStep 2: Gregory moves to the dining room.\nStep 3: Breanna leaves the room he was in.\nStep 4: Gregory leaves the room he was in.\nStep 5: Breanna enters the dining room.\nStep 6: Gregory enters the dining room.\nStep 7: Breanna moves to the sauna, and moves the medal to the sauna's credenza.\nStep 8: Breanna leaves the room he was in.\nStep 9: Breanna enters the dining room.\nStep 10: Gregory moves to the sauna.\n\n[QUESTION]\nWhere does Gregory believe the medal is?\n\n[YOUR ANSWER]","reference_output":"Gregory's belief on the medal:\n- Step 0: (initial state) {Gregory location: sauna; medal location: dining room's credenza; Gregory sees medal: False; Gregory's belief on medal: None}\n- Step 1: (Gregory location unchanged; medal location unchanged) {Gregory location: sauna; medal location: dining room's credenza; Gregory sees medal: False; Gregory's belief on medal: None}\n- Step 2: (Gregory location changed; medal location unchanged) {Gregory location: dining room; medal location: dining room's credenza; Gregory sees medal: True; Gregory's belief on medal: dining room's credenza}\n- Step 3: (Gregory location unchanged; medal location unchanged) {Gregory location: dining room; medal location: dining room's credenza; Gregory sees medal: True; Gregory's belief on medal: dining room's credenza}\n- Step 4: (Gregory location changed; medal location unchanged) {Gregory location: None; medal location: dining room's credenza; Gregory sees medal: False; Gregory's belief on medal: dining room's credenza}\n- Step 5: (Gregory location unchanged; medal location unchanged) {Gregory location: None; medal location: dining room's credenza; Gregory sees medal: False; Gregory's belief on medal: dining room's credenza}\n- Step 6: (Gregory location changed; medal location unchanged) {Gregory location: dining room; medal location: dining room's credenza; Gregory sees medal: True; Gregory's belief on medal: dining room's credenza}\n- Step 7: (Gregory location unchanged; medal location changed) {Gregory location: dining room; medal location: sauna's credenza; Gregory sees medal: False; Gregory's belief on medal: dining room's credenza}\n- Step 8: (Gregory location unchanged; medal location unchanged) {Gregory location: dining room; medal location: sauna's credenza; Gregory sees medal: False; Gregory's belief on medal: dining room's credenza}\n- Step 9: (Gregory location unchanged; medal location unchanged) {Gregory location: dining room; medal location: sauna's credenza; Gregory sees medal: False; Gregory's belief on medal: dining room's credenza}\n- Step 10: (Gregory location changed; medal location unchanged) {Gregory location: sauna; medal location: sauna's credenza; Gregory sees medal: True; Gregory's belief on medal: sauna's credenza}\nFinal Answer: the sauna's credenza","item":{"question":"Where does Gregory believe the medal is?","story_components":"Agents: [Breanna, Gregory].\nObjects: [the medal, the glasses].\nRooms: [the dining room, the sauna].\nContainers: [the dining room's stool, the dining room's credenza, the sauna's stool, the sauna's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_12","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Raymond is in the balcony; David is in the sauna; the wallet is on the balcony's stool; the paper crane is on the sauna's stool.\nStep 1: Raymond leaves the room he was in.\nStep 2: David moves to the balcony, and moves the paper crane to the balcony's bistro table.\nStep 3: Raymond enters the balcony.\nStep 4: David moves to the sauna, and moves the wallet to the sauna's bistro table.\nStep 5: Raymond moves to the sauna.\nStep 6: David moves the wallet to the sauna's stool.\nStep 7: Raymond moves to the balcony.\nStep 8: David moves the wallet to the sauna's bistro table.\nStep 9: Raymond moves to the sauna.\nStep 10: David moves to the balcony, and moves the wallet to the balcony's stool.\n\n[QUESTION]\nWhere does Raymond believe the wallet is?\n\n[YOUR ANSWER]","reference_output":"Raymond's belief on the wallet:\n- Step 0: (initial state) {Raymond location: balcony; wallet location: balcony's stool; Raymond sees wallet: True; Raymond's belief on wallet: balcony's stool}\n- Step 1: (Raymond location changed; wallet location unchanged) {Raymond location: None; wallet location: balcony's stool; Raymond sees wallet: False; Raymond's belief on wallet: balcony's stool}\n- Step 2: (Raymond location unchanged; wallet location unchanged) {Raymond location: None; wallet location: balcony's stool; Raymond sees wallet: False; Raymond's belief on wallet: balcony's stool}\n- Step 3: (Raymond location changed; wallet location unchanged) {Raymond location: balcony; wallet location: balcony's stool; Raymond sees wallet: True; Raymond's belief on wallet: balcony's stool}\n- Step 4: (Raymond location unchanged; wallet location changed) {Raymond location: balcony; wallet location: sauna's bistro table; Raymond sees wallet: False; Raymond's belief on wallet: balcony's stool}\n- Step 5: (Raymond location changed; wallet location unchanged) {Raymond location: sauna; wallet location: sauna's bistro table; Raymond sees wallet: True; Raymond's belief on wallet: sauna's bistro table}\n- Step 6: (Raymond location unchanged; wallet location changed) {Raymond location: sauna; wallet location: sauna's stool; Raymond sees wallet: True; Raymond's belief on wallet: sauna's stool}\n- Step 7: (Raymond location changed; wallet location unchanged) {Raymond location: balcony; wallet location: sauna's stool; Raymond sees wallet: False; Raymond's belief on wallet: sauna's stool}\n- Step 8: (Raymond location unchanged; wallet location changed) {Raymond location: balcony; wallet location: sauna's bistro table; Raymond sees wallet: False; Raymond's belief on wallet: sauna's stool}\n- Step 9: (Raymond location changed; wallet location unchanged) {Raymond location: sauna; wallet location: sauna's bistro table; Raymond sees wallet: True; Raymond's belief on wallet: sauna's bistro table}\n- Step 10: (Raymond location unchanged; wallet location changed) {Raymond location: sauna; wallet location: balcony's stool; Raymond sees wallet: False; Raymond's belief on wallet: sauna's bistro table}\nFinal Answer: the sauna's bistro table","item":{"question":"Where does Raymond believe the wallet is?","story_components":"Agents: [Raymond, David].\nObjects: [the wallet, the paper crane].\nRooms: [the sauna, the balcony].\nContainers: [the sauna's stool, the sauna's bistro table, the balcony's stool, the balcony's bistro table]"}}
+{"instance_id":"tom_tracking_0.5k_13","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Selena is in the storage room; John is in the storage room; the earring is on the study's windowsill; the watch is on the study's desk.\nStep 1: Selena moves to the study.\nStep 2: John moves to the study.\nStep 3: Selena moves the watch to the study's windowsill.\nStep 4: John leaves the room he was in.\nStep 5: Selena moves the earring to the study's desk.\nStep 6: John enters the storage room.\nStep 7: Selena moves to the storage room, and moves the earring to the storage room's desk.\nStep 8: John leaves the room he was in.\nStep 9: Selena moves to the study, and moves the earring to the study's desk.\nStep 10: John enters the study.\n\n[QUESTION]\nWhere does John believe the watch is?\n\n[YOUR ANSWER]","reference_output":"John's belief on the watch:\n- Step 0: (initial state) {John location: storage room; watch location: study's desk; John sees watch: False; John's belief on watch: None}\n- Step 1: (John location unchanged; watch location unchanged) {John location: storage room; watch location: study's desk; John sees watch: False; John's belief on watch: None}\n- Step 2: (John location changed; watch location unchanged) {John location: study; watch location: study's desk; John sees watch: True; John's belief on watch: study's desk}\n- Step 3: (John location unchanged; watch location changed) {John location: study; watch location: study's windowsill; John sees watch: True; John's belief on watch: study's windowsill}\n- Step 4: (John location changed; watch location unchanged) {John location: None; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 5: (John location unchanged; watch location unchanged) {John location: None; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 6: (John location changed; watch location unchanged) {John location: storage room; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 7: (John location unchanged; watch location unchanged) {John location: storage room; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 8: (John location changed; watch location unchanged) {John location: None; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 9: (John location unchanged; watch location unchanged) {John location: None; watch location: study's windowsill; John sees watch: False; John's belief on watch: study's windowsill}\n- Step 10: (John location changed; watch location unchanged) {John location: study; watch location: study's windowsill; John sees watch: True; John's belief on watch: study's windowsill}\nFinal Answer: the study's windowsill","item":{"question":"Where does John believe the watch is?","story_components":"Agents: [Selena, John].\nObjects: [the earring, the watch].\nRooms: [the storage room, the study].\nContainers: [the storage room's desk, the storage room's windowsill, the study's desk, the study's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_14","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the kitchen; Tracy is in the mudroom; the eraser is on the kitchen's nightstand; the eraser cap is on the kitchen's nightstand.\nStep 1: Chris moves to the mudroom.\nStep 2: Tracy moves to the kitchen.\nStep 3: Tracy leaves the room he was in.\nStep 4: Tracy enters the kitchen.\nStep 5: Tracy moves to the mudroom, and moves the eraser to the mudroom's nightstand.\nStep 6: Tracy moves to the kitchen.\nStep 7: Chris leaves the room he was in.\nStep 8: Tracy leaves the room he was in.\nStep 9: Chris enters the mudroom.\nStep 10: Tracy enters the mudroom.\n\n[QUESTION]\nWhere does Tracy believe the eraser is?\n\n[YOUR ANSWER]","reference_output":"Tracy's belief on the eraser:\n- Step 0: (initial state) {Tracy location: mudroom; eraser location: kitchen's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: None}\n- Step 1: (Tracy location unchanged; eraser location unchanged) {Tracy location: mudroom; eraser location: kitchen's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: None}\n- Step 2: (Tracy location changed; eraser location unchanged) {Tracy location: kitchen; eraser location: kitchen's nightstand; Tracy sees eraser: True; Tracy's belief on eraser: kitchen's nightstand}\n- Step 3: (Tracy location changed; eraser location unchanged) {Tracy location: None; eraser location: kitchen's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: kitchen's nightstand}\n- Step 4: (Tracy location changed; eraser location unchanged) {Tracy location: kitchen; eraser location: kitchen's nightstand; Tracy sees eraser: True; Tracy's belief on eraser: kitchen's nightstand}\n- Step 5: (Tracy location changed; eraser location changed) {Tracy location: mudroom; eraser location: mudroom's nightstand; Tracy sees eraser: True; Tracy's belief on eraser: mudroom's nightstand}\n- Step 6: (Tracy location changed; eraser location unchanged) {Tracy location: kitchen; eraser location: mudroom's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: mudroom's nightstand}\n- Step 7: (Tracy location unchanged; eraser location unchanged) {Tracy location: kitchen; eraser location: mudroom's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: mudroom's nightstand}\n- Step 8: (Tracy location changed; eraser location unchanged) {Tracy location: None; eraser location: mudroom's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: mudroom's nightstand}\n- Step 9: (Tracy location unchanged; eraser location unchanged) {Tracy location: None; eraser location: mudroom's nightstand; Tracy sees eraser: False; Tracy's belief on eraser: mudroom's nightstand}\n- Step 10: (Tracy location changed; eraser location unchanged) {Tracy location: mudroom; eraser location: mudroom's nightstand; Tracy sees eraser: True; Tracy's belief on eraser: mudroom's nightstand}\nFinal Answer: the mudroom's nightstand","item":{"question":"Where does Tracy believe the eraser is?","story_components":"Agents: [Chris, Tracy].\nObjects: [the eraser, the eraser cap].\nRooms: [the mudroom, the kitchen].\nContainers: [the mudroom's sideboard, the mudroom's nightstand, the kitchen's sideboard, the kitchen's nightstand]"}}
+{"instance_id":"tom_tracking_0.5k_15","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the nursery; Jonathan is in the kitchen; the earring is on the nursery's podium; the USB cable is on the kitchen's podium.\nStep 1: Christine moves the earring to the nursery's bar.\nStep 2: Jonathan moves to the nursery, and moves the USB cable to the nursery's podium.\nStep 3: Christine moves to the kitchen, and moves the earring to the kitchen's podium.\nStep 4: Jonathan leaves the room he was in.\nStep 5: Christine moves to the nursery, and moves the earring to the nursery's podium.\nStep 6: Jonathan enters the kitchen.\nStep 7: Christine moves the USB cable to the nursery's bar.\nStep 8: Jonathan moves to the nursery.\nStep 9: Christine moves to the kitchen.\nStep 10: Jonathan moves to the kitchen, and moves the USB cable to the kitchen's podium.\n\n[QUESTION]\nWhere does Jonathan believe the earring is?\n\n[YOUR ANSWER]","reference_output":"Jonathan's belief on the earring:\n- Step 0: (initial state) {Jonathan location: kitchen; earring location: nursery's podium; Jonathan sees earring: False; Jonathan's belief on earring: None}\n- Step 1: (Jonathan location unchanged; earring location changed) {Jonathan location: kitchen; earring location: nursery's bar; Jonathan sees earring: False; Jonathan's belief on earring: None}\n- Step 2: (Jonathan location changed; earring location unchanged) {Jonathan location: nursery; earring location: nursery's bar; Jonathan sees earring: True; Jonathan's belief on earring: nursery's bar}\n- Step 3: (Jonathan location unchanged; earring location changed) {Jonathan location: nursery; earring location: kitchen's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's bar}\n- Step 4: (Jonathan location changed; earring location unchanged) {Jonathan location: None; earring location: kitchen's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's bar}\n- Step 5: (Jonathan location unchanged; earring location changed) {Jonathan location: None; earring location: nursery's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's bar}\n- Step 6: (Jonathan location changed; earring location unchanged) {Jonathan location: kitchen; earring location: nursery's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's bar}\n- Step 7: (Jonathan location unchanged; earring location unchanged) {Jonathan location: kitchen; earring location: nursery's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's bar}\n- Step 8: (Jonathan location changed; earring location unchanged) {Jonathan location: nursery; earring location: nursery's podium; Jonathan sees earring: True; Jonathan's belief on earring: nursery's podium}\n- Step 9: (Jonathan location unchanged; earring location unchanged) {Jonathan location: nursery; earring location: nursery's podium; Jonathan sees earring: True; Jonathan's belief on earring: nursery's podium}\n- Step 10: (Jonathan location changed; earring location unchanged) {Jonathan location: kitchen; earring location: nursery's podium; Jonathan sees earring: False; Jonathan's belief on earring: nursery's podium}\nFinal Answer: the nursery's podium","item":{"question":"Where does Jonathan believe the earring is?","story_components":"Agents: [Christine, Jonathan].\nObjects: [the earring, the USB cable].\nRooms: [the kitchen, the nursery].\nContainers: [the kitchen's bar, the kitchen's podium, the nursery's bar, the nursery's podium]"}}
+{"instance_id":"tom_tracking_0.5k_16","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nicholas is in the office; Lisa is in the office; the headphones is on the sunroom's shelf; the puzzle piece is on the sunroom's rack.\nStep 1: Nicholas moves to the sunroom.\nStep 2: Nicholas moves to the office, and moves the puzzle piece to the office's shelf.\nStep 3: Nicholas moves to the sunroom.\nStep 4: Lisa moves to the sunroom, and moves the puzzle piece to the sunroom's shelf.\nStep 5: Nicholas moves to the office, and moves the headphones to the office's shelf.\nStep 6: Lisa leaves the room he was in.\nStep 7: Nicholas moves to the sunroom, and moves the headphones to the sunroom's shelf.\nStep 8: Lisa enters the office.\nStep 9: Nicholas moves to the office, and moves the puzzle piece to the office's rack.\nStep 10: Lisa leaves the room he was in.\n\n[QUESTION]\nWhere does Nicholas believe the headphones is?\n\n[YOUR ANSWER]","reference_output":"Nicholas's belief on the headphones:\n- Step 0: (initial state) {Nicholas location: office; headphones location: sunroom's shelf; Nicholas sees headphones: False; Nicholas's belief on headphones: None}\n- Step 1: (Nicholas location changed; headphones location unchanged) {Nicholas location: sunroom; headphones location: sunroom's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: sunroom's shelf}\n- Step 2: (Nicholas location changed; headphones location unchanged) {Nicholas location: office; headphones location: sunroom's shelf; Nicholas sees headphones: False; Nicholas's belief on headphones: sunroom's shelf}\n- Step 3: (Nicholas location changed; headphones location unchanged) {Nicholas location: sunroom; headphones location: sunroom's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: sunroom's shelf}\n- Step 4: (Nicholas location unchanged; headphones location unchanged) {Nicholas location: sunroom; headphones location: sunroom's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: sunroom's shelf}\n- Step 5: (Nicholas location changed; headphones location changed) {Nicholas location: office; headphones location: office's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: office's shelf}\n- Step 6: (Nicholas location unchanged; headphones location unchanged) {Nicholas location: office; headphones location: office's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: office's shelf}\n- Step 7: (Nicholas location changed; headphones location changed) {Nicholas location: sunroom; headphones location: sunroom's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: sunroom's shelf}\n- Step 8: (Nicholas location unchanged; headphones location unchanged) {Nicholas location: sunroom; headphones location: sunroom's shelf; Nicholas sees headphones: True; Nicholas's belief on headphones: sunroom's shelf}\n- Step 9: (Nicholas location changed; headphones location unchanged) {Nicholas location: office; headphones location: sunroom's shelf; Nicholas sees headphones: False; Nicholas's belief on headphones: sunroom's shelf}\n- Step 10: (Nicholas location unchanged; headphones location unchanged) {Nicholas location: office; headphones location: sunroom's shelf; Nicholas sees headphones: False; Nicholas's belief on headphones: sunroom's shelf}\nFinal Answer: the sunroom's shelf","item":{"question":"Where does Nicholas believe the headphones is?","story_components":"Agents: [Nicholas, Lisa].\nObjects: [the headphones, the puzzle piece].\nRooms: [the sunroom, the office].\nContainers: [the sunroom's rack, the sunroom's shelf, the office's rack, the office's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_17","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kathryn is in the bedroom; Haley is in the laundry room; the eraser cap is on the laundry room's workbench; the orange is on the laundry room's credenza.\nStep 1: Kathryn moves to the laundry room.\nStep 2: Haley moves the orange to the laundry room's workbench.\nStep 3: Kathryn moves to the bedroom.\nStep 4: Haley moves to the bedroom.\nStep 5: Kathryn moves to the laundry room.\nStep 6: Haley moves to the laundry room.\nStep 7: Kathryn moves to the bedroom.\nStep 8: Haley moves to the bedroom, and moves the eraser cap to the bedroom's credenza.\nStep 9: Kathryn leaves the room he was in.\nStep 10: Haley moves to the laundry room, and moves the eraser cap to the laundry room's credenza.\n\n[QUESTION]\nWhere does Haley believe the eraser cap is?\n\n[YOUR ANSWER]","reference_output":"Haley's belief on the eraser cap:\n- Step 0: (initial state) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 1: (Haley location unchanged; eraser cap location unchanged) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 2: (Haley location unchanged; eraser cap location unchanged) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 3: (Haley location unchanged; eraser cap location unchanged) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 4: (Haley location changed; eraser cap location unchanged) {Haley location: bedroom; eraser cap location: laundry room's workbench; Haley sees eraser cap: False; Haley's belief on eraser cap: laundry room's workbench}\n- Step 5: (Haley location unchanged; eraser cap location unchanged) {Haley location: bedroom; eraser cap location: laundry room's workbench; Haley sees eraser cap: False; Haley's belief on eraser cap: laundry room's workbench}\n- Step 6: (Haley location changed; eraser cap location unchanged) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 7: (Haley location unchanged; eraser cap location unchanged) {Haley location: laundry room; eraser cap location: laundry room's workbench; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's workbench}\n- Step 8: (Haley location changed; eraser cap location changed) {Haley location: bedroom; eraser cap location: bedroom's credenza; Haley sees eraser cap: True; Haley's belief on eraser cap: bedroom's credenza}\n- Step 9: (Haley location unchanged; eraser cap location unchanged) {Haley location: bedroom; eraser cap location: bedroom's credenza; Haley sees eraser cap: True; Haley's belief on eraser cap: bedroom's credenza}\n- Step 10: (Haley location changed; eraser cap location changed) {Haley location: laundry room; eraser cap location: laundry room's credenza; Haley sees eraser cap: True; Haley's belief on eraser cap: laundry room's credenza}\nFinal Answer: the laundry room's credenza","item":{"question":"Where does Haley believe the eraser cap is?","story_components":"Agents: [Kathryn, Haley].\nObjects: [the eraser cap, the orange].\nRooms: [the bedroom, the laundry room].\nContainers: [the bedroom's workbench, the bedroom's credenza, the laundry room's workbench, the laundry room's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_18","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the dining room; Jose is in the playroom; the bookmark is on the playroom's rack; the playing dice is on the dining room's rack.\nStep 1: Kayla moves the playing dice to the dining room's podium.\nStep 2: Jose moves to the dining room.\nStep 3: Kayla moves the playing dice to the dining room's rack.\nStep 4: Jose moves to the playroom, and moves the playing dice to the playroom's podium.\nStep 5: Kayla moves to the playroom.\nStep 6: Jose leaves the room he was in.\nStep 7: Kayla moves to the dining room, and moves the bookmark to the dining room's rack.\nStep 8: Jose enters the playroom.\nStep 9: Kayla leaves the room he was in.\nStep 10: Jose moves to the dining room.\n\n[QUESTION]\nWhere does Kayla believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the bookmark:\n- Step 0: (initial state) {Kayla location: dining room; bookmark location: playroom's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 1: (Kayla location unchanged; bookmark location unchanged) {Kayla location: dining room; bookmark location: playroom's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 2: (Kayla location unchanged; bookmark location unchanged) {Kayla location: dining room; bookmark location: playroom's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 3: (Kayla location unchanged; bookmark location unchanged) {Kayla location: dining room; bookmark location: playroom's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 4: (Kayla location unchanged; bookmark location unchanged) {Kayla location: dining room; bookmark location: playroom's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 5: (Kayla location changed; bookmark location unchanged) {Kayla location: playroom; bookmark location: playroom's rack; Kayla sees bookmark: True; Kayla's belief on bookmark: playroom's rack}\n- Step 6: (Kayla location unchanged; bookmark location unchanged) {Kayla location: playroom; bookmark location: playroom's rack; Kayla sees bookmark: True; Kayla's belief on bookmark: playroom's rack}\n- Step 7: (Kayla location changed; bookmark location changed) {Kayla location: dining room; bookmark location: dining room's rack; Kayla sees bookmark: True; Kayla's belief on bookmark: dining room's rack}\n- Step 8: (Kayla location unchanged; bookmark location unchanged) {Kayla location: dining room; bookmark location: dining room's rack; Kayla sees bookmark: True; Kayla's belief on bookmark: dining room's rack}\n- Step 9: (Kayla location changed; bookmark location unchanged) {Kayla location: None; bookmark location: dining room's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: dining room's rack}\n- Step 10: (Kayla location unchanged; bookmark location unchanged) {Kayla location: None; bookmark location: dining room's rack; Kayla sees bookmark: False; Kayla's belief on bookmark: dining room's rack}\nFinal Answer: the dining room's rack","item":{"question":"Where does Kayla believe the bookmark is?","story_components":"Agents: [Kayla, Jose].\nObjects: [the bookmark, the playing dice].\nRooms: [the dining room, the playroom].\nContainers: [the dining room's podium, the dining room's rack, the playroom's podium, the playroom's rack]"}}
+{"instance_id":"tom_tracking_0.5k_19","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Crystal is in the foyer; Catherine is in the foyer; the eyeglass cloth is on the foyer's workbench; the USB cable is on the foyer's coffee table.\nStep 1: Crystal moves to the storage room, and moves the eyeglass cloth to the storage room's workbench.\nStep 2: Catherine moves to the storage room.\nStep 3: Crystal leaves the room he was in.\nStep 4: Catherine moves to the foyer.\nStep 5: Crystal enters the foyer.\nStep 6: Catherine moves the USB cable to the foyer's workbench.\nStep 7: Crystal moves to the storage room.\nStep 8: Catherine moves the USB cable to the foyer's coffee table.\nStep 9: Crystal leaves the room he was in.\nStep 10: Catherine moves to the storage room, and moves the USB cable to the storage room's coffee table.\n\n[QUESTION]\nWhere does Catherine believe the USB cable is?\n\n[YOUR ANSWER]","reference_output":"Catherine's belief on the USB cable:\n- Step 0: (initial state) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 1: (Catherine location unchanged; USB cable location unchanged) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 2: (Catherine location changed; USB cable location unchanged) {Catherine location: storage room; USB cable location: foyer's coffee table; Catherine sees USB cable: False; Catherine's belief on USB cable: foyer's coffee table}\n- Step 3: (Catherine location unchanged; USB cable location unchanged) {Catherine location: storage room; USB cable location: foyer's coffee table; Catherine sees USB cable: False; Catherine's belief on USB cable: foyer's coffee table}\n- Step 4: (Catherine location changed; USB cable location unchanged) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 5: (Catherine location unchanged; USB cable location unchanged) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 6: (Catherine location unchanged; USB cable location changed) {Catherine location: foyer; USB cable location: foyer's workbench; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's workbench}\n- Step 7: (Catherine location unchanged; USB cable location unchanged) {Catherine location: foyer; USB cable location: foyer's workbench; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's workbench}\n- Step 8: (Catherine location unchanged; USB cable location changed) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 9: (Catherine location unchanged; USB cable location unchanged) {Catherine location: foyer; USB cable location: foyer's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: foyer's coffee table}\n- Step 10: (Catherine location changed; USB cable location changed) {Catherine location: storage room; USB cable location: storage room's coffee table; Catherine sees USB cable: True; Catherine's belief on USB cable: storage room's coffee table}\nFinal Answer: the storage room's coffee table","item":{"question":"Where does Catherine believe the USB cable is?","story_components":"Agents: [Crystal, Catherine].\nObjects: [the eyeglass cloth, the USB cable].\nRooms: [the storage room, the foyer].\nContainers: [the storage room's coffee table, the storage room's workbench, the foyer's coffee table, the foyer's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_20","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the craft room; Lisa is in the craft room; the hair tie is on the craft room's mantel; the lip balm is on the game room's mantel.\nStep 1: Chris moves the hair tie to the craft room's coffee table.\nStep 2: Lisa moves to the game room.\nStep 3: Chris leaves the room he was in.\nStep 4: Lisa leaves the room he was in.\nStep 5: Chris enters the game room.\nStep 6: Lisa enters the game room.\nStep 7: Chris moves the lip balm to the game room's coffee table.\nStep 8: Lisa leaves the room he was in.\nStep 9: Chris moves to the craft room.\nStep 10: Lisa enters the game room.\n\n[QUESTION]\nWhere does Lisa believe the lip balm is?\n\n[YOUR ANSWER]","reference_output":"Lisa's belief on the lip balm:\n- Step 0: (initial state) {Lisa location: craft room; lip balm location: game room's mantel; Lisa sees lip balm: False; Lisa's belief on lip balm: None}\n- Step 1: (Lisa location unchanged; lip balm location unchanged) {Lisa location: craft room; lip balm location: game room's mantel; Lisa sees lip balm: False; Lisa's belief on lip balm: None}\n- Step 2: (Lisa location changed; lip balm location unchanged) {Lisa location: game room; lip balm location: game room's mantel; Lisa sees lip balm: True; Lisa's belief on lip balm: game room's mantel}\n- Step 3: (Lisa location unchanged; lip balm location unchanged) {Lisa location: game room; lip balm location: game room's mantel; Lisa sees lip balm: True; Lisa's belief on lip balm: game room's mantel}\n- Step 4: (Lisa location changed; lip balm location unchanged) {Lisa location: None; lip balm location: game room's mantel; Lisa sees lip balm: False; Lisa's belief on lip balm: game room's mantel}\n- Step 5: (Lisa location unchanged; lip balm location unchanged) {Lisa location: None; lip balm location: game room's mantel; Lisa sees lip balm: False; Lisa's belief on lip balm: game room's mantel}\n- Step 6: (Lisa location changed; lip balm location unchanged) {Lisa location: game room; lip balm location: game room's mantel; Lisa sees lip balm: True; Lisa's belief on lip balm: game room's mantel}\n- Step 7: (Lisa location unchanged; lip balm location changed) {Lisa location: game room; lip balm location: game room's coffee table; Lisa sees lip balm: True; Lisa's belief on lip balm: game room's coffee table}\n- Step 8: (Lisa location changed; lip balm location unchanged) {Lisa location: None; lip balm location: game room's coffee table; Lisa sees lip balm: False; Lisa's belief on lip balm: game room's coffee table}\n- Step 9: (Lisa location unchanged; lip balm location unchanged) {Lisa location: None; lip balm location: game room's coffee table; Lisa sees lip balm: False; Lisa's belief on lip balm: game room's coffee table}\n- Step 10: (Lisa location changed; lip balm location unchanged) {Lisa location: game room; lip balm location: game room's coffee table; Lisa sees lip balm: True; Lisa's belief on lip balm: game room's coffee table}\nFinal Answer: the game room's coffee table","item":{"question":"Where does Lisa believe the lip balm is?","story_components":"Agents: [Chris, Lisa].\nObjects: [the hair tie, the lip balm].\nRooms: [the craft room, the game room].\nContainers: [the craft room's coffee table, the craft room's mantel, the game room's coffee table, the game room's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_21","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the playroom; Chris is in the playroom; the mini comb is on the bedroom's tv stand; the marble is on the playroom's tv stand.\nStep 1: Eric moves to the bedroom.\nStep 2: Chris moves to the bedroom.\nStep 3: Eric moves to the playroom, and moves the mini comb to the playroom's bench.\nStep 4: Eric moves to the bedroom, and moves the marble to the bedroom's bench.\nStep 5: Eric moves the marble to the bedroom's tv stand.\nStep 6: Chris moves the marble to the bedroom's bench.\nStep 7: Eric moves to the playroom.\nStep 8: Chris moves to the playroom, and moves the marble to the playroom's tv stand.\nStep 9: Eric moves to the bedroom, and moves the mini comb to the bedroom's tv stand.\nStep 10: Chris moves to the bedroom.\n\n[QUESTION]\nWhere does Eric believe the marble is?\n\n[YOUR ANSWER]","reference_output":"Eric's belief on the marble:\n- Step 0: (initial state) {Eric location: playroom; marble location: playroom's tv stand; Eric sees marble: True; Eric's belief on marble: playroom's tv stand}\n- Step 1: (Eric location changed; marble location unchanged) {Eric location: bedroom; marble location: playroom's tv stand; Eric sees marble: False; Eric's belief on marble: playroom's tv stand}\n- Step 2: (Eric location unchanged; marble location unchanged) {Eric location: bedroom; marble location: playroom's tv stand; Eric sees marble: False; Eric's belief on marble: playroom's tv stand}\n- Step 3: (Eric location changed; marble location unchanged) {Eric location: playroom; marble location: playroom's tv stand; Eric sees marble: True; Eric's belief on marble: playroom's tv stand}\n- Step 4: (Eric location changed; marble location changed) {Eric location: bedroom; marble location: bedroom's bench; Eric sees marble: True; Eric's belief on marble: bedroom's bench}\n- Step 5: (Eric location unchanged; marble location changed) {Eric location: bedroom; marble location: bedroom's tv stand; Eric sees marble: True; Eric's belief on marble: bedroom's tv stand}\n- Step 6: (Eric location unchanged; marble location changed) {Eric location: bedroom; marble location: bedroom's bench; Eric sees marble: True; Eric's belief on marble: bedroom's bench}\n- Step 7: (Eric location changed; marble location unchanged) {Eric location: playroom; marble location: bedroom's bench; Eric sees marble: False; Eric's belief on marble: bedroom's bench}\n- Step 8: (Eric location unchanged; marble location changed) {Eric location: playroom; marble location: playroom's tv stand; Eric sees marble: True; Eric's belief on marble: playroom's tv stand}\n- Step 9: (Eric location changed; marble location unchanged) {Eric location: bedroom; marble location: playroom's tv stand; Eric sees marble: False; Eric's belief on marble: playroom's tv stand}\n- Step 10: (Eric location unchanged; marble location unchanged) {Eric location: bedroom; marble location: playroom's tv stand; Eric sees marble: False; Eric's belief on marble: playroom's tv stand}\nFinal Answer: the playroom's tv stand","item":{"question":"Where does Eric believe the marble is?","story_components":"Agents: [Eric, Chris].\nObjects: [the mini comb, the marble].\nRooms: [the playroom, the bedroom].\nContainers: [the playroom's tv stand, the playroom's bench, the bedroom's tv stand, the bedroom's bench]"}}
+{"instance_id":"tom_tracking_0.5k_22","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Patricia is in the dining room; Cassandra is in the dining room; the puzzle piece is on the guest room's buffet; the remote is on the guest room's desk.\nStep 1: Patricia moves to the guest room.\nStep 2: Patricia leaves the room he was in.\nStep 3: Patricia enters the dining room.\nStep 4: Cassandra moves to the guest room.\nStep 5: Patricia moves to the guest room.\nStep 6: Cassandra moves to the dining room.\nStep 7: Patricia moves the remote to the guest room's buffet.\nStep 8: Patricia moves the puzzle piece to the guest room's desk.\nStep 9: Patricia moves the remote to the guest room's desk.\nStep 10: Cassandra moves to the guest room.\n\n[QUESTION]\nWhere does Patricia believe the remote is?\n\n[YOUR ANSWER]","reference_output":"Patricia's belief on the remote:\n- Step 0: (initial state) {Patricia location: dining room; remote location: guest room's desk; Patricia sees remote: False; Patricia's belief on remote: None}\n- Step 1: (Patricia location changed; remote location unchanged) {Patricia location: guest room; remote location: guest room's desk; Patricia sees remote: True; Patricia's belief on remote: guest room's desk}\n- Step 2: (Patricia location changed; remote location unchanged) {Patricia location: None; remote location: guest room's desk; Patricia sees remote: False; Patricia's belief on remote: guest room's desk}\n- Step 3: (Patricia location changed; remote location unchanged) {Patricia location: dining room; remote location: guest room's desk; Patricia sees remote: False; Patricia's belief on remote: guest room's desk}\n- Step 4: (Patricia location unchanged; remote location unchanged) {Patricia location: dining room; remote location: guest room's desk; Patricia sees remote: False; Patricia's belief on remote: guest room's desk}\n- Step 5: (Patricia location changed; remote location unchanged) {Patricia location: guest room; remote location: guest room's desk; Patricia sees remote: True; Patricia's belief on remote: guest room's desk}\n- Step 6: (Patricia location unchanged; remote location unchanged) {Patricia location: guest room; remote location: guest room's desk; Patricia sees remote: True; Patricia's belief on remote: guest room's desk}\n- Step 7: (Patricia location unchanged; remote location changed) {Patricia location: guest room; remote location: guest room's buffet; Patricia sees remote: True; Patricia's belief on remote: guest room's buffet}\n- Step 8: (Patricia location unchanged; remote location unchanged) {Patricia location: guest room; remote location: guest room's buffet; Patricia sees remote: True; Patricia's belief on remote: guest room's buffet}\n- Step 9: (Patricia location unchanged; remote location changed) {Patricia location: guest room; remote location: guest room's desk; Patricia sees remote: True; Patricia's belief on remote: guest room's desk}\n- Step 10: (Patricia location unchanged; remote location unchanged) {Patricia location: guest room; remote location: guest room's desk; Patricia sees remote: True; Patricia's belief on remote: guest room's desk}\nFinal Answer: the guest room's desk","item":{"question":"Where does Patricia believe the remote is?","story_components":"Agents: [Patricia, Cassandra].\nObjects: [the puzzle piece, the remote].\nRooms: [the dining room, the guest room].\nContainers: [the dining room's buffet, the dining room's desk, the guest room's buffet, the guest room's desk]"}}
+{"instance_id":"tom_tracking_0.5k_23","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Raymond is in the library; Jason is in the library; the wallet is on the guest room's cabinet top; the puzzle piece is on the library's sideboard.\nStep 1: Raymond moves to the guest room, and moves the puzzle piece to the guest room's sideboard.\nStep 2: Raymond moves to the library, and moves the wallet to the library's cabinet top.\nStep 3: Raymond moves to the guest room, and moves the wallet to the guest room's cabinet top.\nStep 4: Raymond moves to the library.\nStep 5: Raymond moves to the guest room.\nStep 6: Raymond moves the puzzle piece to the guest room's cabinet top.\nStep 7: Raymond moves to the library.\nStep 8: Jason moves to the guest room.\nStep 9: Jason moves the wallet to the guest room's sideboard.\nStep 10: Jason leaves the room he was in.\n\n[QUESTION]\nWhere does Raymond believe the wallet is?\n\n[YOUR ANSWER]","reference_output":"Raymond's belief on the wallet:\n- Step 0: (initial state) {Raymond location: library; wallet location: guest room's cabinet top; Raymond sees wallet: False; Raymond's belief on wallet: None}\n- Step 1: (Raymond location changed; wallet location unchanged) {Raymond location: guest room; wallet location: guest room's cabinet top; Raymond sees wallet: True; Raymond's belief on wallet: guest room's cabinet top}\n- Step 2: (Raymond location changed; wallet location changed) {Raymond location: library; wallet location: library's cabinet top; Raymond sees wallet: True; Raymond's belief on wallet: library's cabinet top}\n- Step 3: (Raymond location changed; wallet location changed) {Raymond location: guest room; wallet location: guest room's cabinet top; Raymond sees wallet: True; Raymond's belief on wallet: guest room's cabinet top}\n- Step 4: (Raymond location changed; wallet location unchanged) {Raymond location: library; wallet location: guest room's cabinet top; Raymond sees wallet: False; Raymond's belief on wallet: guest room's cabinet top}\n- Step 5: (Raymond location changed; wallet location unchanged) {Raymond location: guest room; wallet location: guest room's cabinet top; Raymond sees wallet: True; Raymond's belief on wallet: guest room's cabinet top}\n- Step 6: (Raymond location unchanged; wallet location unchanged) {Raymond location: guest room; wallet location: guest room's cabinet top; Raymond sees wallet: True; Raymond's belief on wallet: guest room's cabinet top}\n- Step 7: (Raymond location changed; wallet location unchanged) {Raymond location: library; wallet location: guest room's cabinet top; Raymond sees wallet: False; Raymond's belief on wallet: guest room's cabinet top}\n- Step 8: (Raymond location unchanged; wallet location unchanged) {Raymond location: library; wallet location: guest room's cabinet top; Raymond sees wallet: False; Raymond's belief on wallet: guest room's cabinet top}\n- Step 9: (Raymond location unchanged; wallet location changed) {Raymond location: library; wallet location: guest room's sideboard; Raymond sees wallet: False; Raymond's belief on wallet: guest room's cabinet top}\n- Step 10: (Raymond location unchanged; wallet location unchanged) {Raymond location: library; wallet location: guest room's sideboard; Raymond sees wallet: False; Raymond's belief on wallet: guest room's cabinet top}\nFinal Answer: the guest room's cabinet top","item":{"question":"Where does Raymond believe the wallet is?","story_components":"Agents: [Raymond, Jason].\nObjects: [the wallet, the puzzle piece].\nRooms: [the guest room, the library].\nContainers: [the guest room's cabinet top, the guest room's sideboard, the library's cabinet top, the library's sideboard]"}}
+{"instance_id":"tom_tracking_0.5k_24","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Holly is in the bathroom; Paul is in the bathroom; the pencil is on the bathroom's tv stand; the knife is on the bathroom's tv stand.\nStep 1: Holly moves to the hallway.\nStep 2: Paul leaves the room he was in.\nStep 3: Holly moves to the bathroom.\nStep 4: Paul enters the bathroom.\nStep 5: Holly moves the knife to the bathroom's rack.\nStep 6: Paul moves the pencil to the bathroom's rack.\nStep 7: Holly moves to the hallway, and moves the pencil to the hallway's tv stand.\nStep 8: Paul leaves the room he was in.\nStep 9: Holly moves to the bathroom.\nStep 10: Paul enters the hallway.\n\n[QUESTION]\nWhere does Holly believe the knife is?\n\n[YOUR ANSWER]","reference_output":"Holly's belief on the knife:\n- Step 0: (initial state) {Holly location: bathroom; knife location: bathroom's tv stand; Holly sees knife: True; Holly's belief on knife: bathroom's tv stand}\n- Step 1: (Holly location changed; knife location unchanged) {Holly location: hallway; knife location: bathroom's tv stand; Holly sees knife: False; Holly's belief on knife: bathroom's tv stand}\n- Step 2: (Holly location unchanged; knife location unchanged) {Holly location: hallway; knife location: bathroom's tv stand; Holly sees knife: False; Holly's belief on knife: bathroom's tv stand}\n- Step 3: (Holly location changed; knife location unchanged) {Holly location: bathroom; knife location: bathroom's tv stand; Holly sees knife: True; Holly's belief on knife: bathroom's tv stand}\n- Step 4: (Holly location unchanged; knife location unchanged) {Holly location: bathroom; knife location: bathroom's tv stand; Holly sees knife: True; Holly's belief on knife: bathroom's tv stand}\n- Step 5: (Holly location unchanged; knife location changed) {Holly location: bathroom; knife location: bathroom's rack; Holly sees knife: True; Holly's belief on knife: bathroom's rack}\n- Step 6: (Holly location unchanged; knife location unchanged) {Holly location: bathroom; knife location: bathroom's rack; Holly sees knife: True; Holly's belief on knife: bathroom's rack}\n- Step 7: (Holly location changed; knife location unchanged) {Holly location: hallway; knife location: bathroom's rack; Holly sees knife: False; Holly's belief on knife: bathroom's rack}\n- Step 8: (Holly location unchanged; knife location unchanged) {Holly location: hallway; knife location: bathroom's rack; Holly sees knife: False; Holly's belief on knife: bathroom's rack}\n- Step 9: (Holly location changed; knife location unchanged) {Holly location: bathroom; knife location: bathroom's rack; Holly sees knife: True; Holly's belief on knife: bathroom's rack}\n- Step 10: (Holly location unchanged; knife location unchanged) {Holly location: bathroom; knife location: bathroom's rack; Holly sees knife: True; Holly's belief on knife: bathroom's rack}\nFinal Answer: the bathroom's rack","item":{"question":"Where does Holly believe the knife is?","story_components":"Agents: [Holly, Paul].\nObjects: [the pencil, the knife].\nRooms: [the bathroom, the hallway].\nContainers: [the bathroom's rack, the bathroom's tv stand, the hallway's rack, the hallway's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_25","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mitchell is in the basement; Kayla is in the nursery; the face mask is on the nursery's counter; the lighter is on the nursery's coffee table.\nStep 1: Kayla moves to the basement.\nStep 2: Kayla moves to the nursery.\nStep 3: Mitchell moves to the nursery.\nStep 4: Kayla moves the lighter to the nursery's counter.\nStep 5: Mitchell moves to the basement.\nStep 6: Kayla moves to the basement.\nStep 7: Mitchell moves to the nursery.\nStep 8: Kayla moves to the nursery.\nStep 9: Mitchell moves to the basement.\nStep 10: Kayla moves the face mask to the nursery's coffee table.\n\n[QUESTION]\nWhere does Mitchell believe the lighter is?\n\n[YOUR ANSWER]","reference_output":"Mitchell's belief on the lighter:\n- Step 0: (initial state) {Mitchell location: basement; lighter location: nursery's coffee table; Mitchell sees lighter: False; Mitchell's belief on lighter: None}\n- Step 1: (Mitchell location unchanged; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's coffee table; Mitchell sees lighter: False; Mitchell's belief on lighter: None}\n- Step 2: (Mitchell location unchanged; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's coffee table; Mitchell sees lighter: False; Mitchell's belief on lighter: None}\n- Step 3: (Mitchell location changed; lighter location unchanged) {Mitchell location: nursery; lighter location: nursery's coffee table; Mitchell sees lighter: True; Mitchell's belief on lighter: nursery's coffee table}\n- Step 4: (Mitchell location unchanged; lighter location changed) {Mitchell location: nursery; lighter location: nursery's counter; Mitchell sees lighter: True; Mitchell's belief on lighter: nursery's counter}\n- Step 5: (Mitchell location changed; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's counter; Mitchell sees lighter: False; Mitchell's belief on lighter: nursery's counter}\n- Step 6: (Mitchell location unchanged; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's counter; Mitchell sees lighter: False; Mitchell's belief on lighter: nursery's counter}\n- Step 7: (Mitchell location changed; lighter location unchanged) {Mitchell location: nursery; lighter location: nursery's counter; Mitchell sees lighter: True; Mitchell's belief on lighter: nursery's counter}\n- Step 8: (Mitchell location unchanged; lighter location unchanged) {Mitchell location: nursery; lighter location: nursery's counter; Mitchell sees lighter: True; Mitchell's belief on lighter: nursery's counter}\n- Step 9: (Mitchell location changed; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's counter; Mitchell sees lighter: False; Mitchell's belief on lighter: nursery's counter}\n- Step 10: (Mitchell location unchanged; lighter location unchanged) {Mitchell location: basement; lighter location: nursery's counter; Mitchell sees lighter: False; Mitchell's belief on lighter: nursery's counter}\nFinal Answer: the nursery's counter","item":{"question":"Where does Mitchell believe the lighter is?","story_components":"Agents: [Mitchell, Kayla].\nObjects: [the face mask, the lighter].\nRooms: [the basement, the nursery].\nContainers: [the basement's counter, the basement's coffee table, the nursery's counter, the nursery's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_26","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Evan is in the sauna; Savannah is in the sauna; the coin is on the sauna's coffee table; the toothpick is on the sauna's coffee table.\nStep 1: Evan leaves the room he was in.\nStep 2: Savannah moves to the laundry room.\nStep 3: Evan enters the sauna.\nStep 4: Savannah moves to the sauna.\nStep 5: Evan moves to the laundry room, and moves the coin to the laundry room's coffee table.\nStep 6: Savannah moves the toothpick to the sauna's buffet.\nStep 7: Evan moves to the sauna, and moves the coin to the sauna's buffet.\nStep 8: Savannah moves to the laundry room.\nStep 9: Evan leaves the room he was in.\nStep 10: Savannah moves to the sauna.\n\n[QUESTION]\nWhere does Savannah believe the toothpick is?\n\n[YOUR ANSWER]","reference_output":"Savannah's belief on the toothpick:\n- Step 0: (initial state) {Savannah location: sauna; toothpick location: sauna's coffee table; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's coffee table}\n- Step 1: (Savannah location unchanged; toothpick location unchanged) {Savannah location: sauna; toothpick location: sauna's coffee table; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's coffee table}\n- Step 2: (Savannah location changed; toothpick location unchanged) {Savannah location: laundry room; toothpick location: sauna's coffee table; Savannah sees toothpick: False; Savannah's belief on toothpick: sauna's coffee table}\n- Step 3: (Savannah location unchanged; toothpick location unchanged) {Savannah location: laundry room; toothpick location: sauna's coffee table; Savannah sees toothpick: False; Savannah's belief on toothpick: sauna's coffee table}\n- Step 4: (Savannah location changed; toothpick location unchanged) {Savannah location: sauna; toothpick location: sauna's coffee table; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's coffee table}\n- Step 5: (Savannah location unchanged; toothpick location unchanged) {Savannah location: sauna; toothpick location: sauna's coffee table; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's coffee table}\n- Step 6: (Savannah location unchanged; toothpick location changed) {Savannah location: sauna; toothpick location: sauna's buffet; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's buffet}\n- Step 7: (Savannah location unchanged; toothpick location unchanged) {Savannah location: sauna; toothpick location: sauna's buffet; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's buffet}\n- Step 8: (Savannah location changed; toothpick location unchanged) {Savannah location: laundry room; toothpick location: sauna's buffet; Savannah sees toothpick: False; Savannah's belief on toothpick: sauna's buffet}\n- Step 9: (Savannah location unchanged; toothpick location unchanged) {Savannah location: laundry room; toothpick location: sauna's buffet; Savannah sees toothpick: False; Savannah's belief on toothpick: sauna's buffet}\n- Step 10: (Savannah location changed; toothpick location unchanged) {Savannah location: sauna; toothpick location: sauna's buffet; Savannah sees toothpick: True; Savannah's belief on toothpick: sauna's buffet}\nFinal Answer: the sauna's buffet","item":{"question":"Where does Savannah believe the toothpick is?","story_components":"Agents: [Evan, Savannah].\nObjects: [the coin, the toothpick].\nRooms: [the laundry room, the sauna].\nContainers: [the laundry room's coffee table, the laundry room's buffet, the sauna's coffee table, the sauna's buffet]"}}
+{"instance_id":"tom_tracking_0.5k_27","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Teresa is in the bedroom; Stacey is in the lounge; the stamp is on the lounge's stool; the pill bottle is on the bedroom's stool.\nStep 1: Teresa moves to the lounge, and moves the pill bottle to the lounge's mantel.\nStep 2: Stacey leaves the room he was in.\nStep 3: Teresa leaves the room he was in.\nStep 4: Stacey enters the lounge.\nStep 5: Teresa enters the lounge.\nStep 6: Stacey leaves the room he was in.\nStep 7: Teresa moves the stamp to the lounge's mantel.\nStep 8: Stacey enters the bedroom.\nStep 9: Teresa leaves the room he was in.\nStep 10: Stacey moves to the lounge.\n\n[QUESTION]\nWhere does Stacey believe the stamp is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the stamp:\n- Step 0: (initial state) {Stacey location: lounge; stamp location: lounge's stool; Stacey sees stamp: True; Stacey's belief on stamp: lounge's stool}\n- Step 1: (Stacey location unchanged; stamp location unchanged) {Stacey location: lounge; stamp location: lounge's stool; Stacey sees stamp: True; Stacey's belief on stamp: lounge's stool}\n- Step 2: (Stacey location changed; stamp location unchanged) {Stacey location: None; stamp location: lounge's stool; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 3: (Stacey location unchanged; stamp location unchanged) {Stacey location: None; stamp location: lounge's stool; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 4: (Stacey location changed; stamp location unchanged) {Stacey location: lounge; stamp location: lounge's stool; Stacey sees stamp: True; Stacey's belief on stamp: lounge's stool}\n- Step 5: (Stacey location unchanged; stamp location unchanged) {Stacey location: lounge; stamp location: lounge's stool; Stacey sees stamp: True; Stacey's belief on stamp: lounge's stool}\n- Step 6: (Stacey location changed; stamp location unchanged) {Stacey location: None; stamp location: lounge's stool; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 7: (Stacey location unchanged; stamp location changed) {Stacey location: None; stamp location: lounge's mantel; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 8: (Stacey location changed; stamp location unchanged) {Stacey location: bedroom; stamp location: lounge's mantel; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 9: (Stacey location unchanged; stamp location unchanged) {Stacey location: bedroom; stamp location: lounge's mantel; Stacey sees stamp: False; Stacey's belief on stamp: lounge's stool}\n- Step 10: (Stacey location changed; stamp location unchanged) {Stacey location: lounge; stamp location: lounge's mantel; Stacey sees stamp: True; Stacey's belief on stamp: lounge's mantel}\nFinal Answer: the lounge's mantel","item":{"question":"Where does Stacey believe the stamp is?","story_components":"Agents: [Teresa, Stacey].\nObjects: [the stamp, the pill bottle].\nRooms: [the lounge, the bedroom].\nContainers: [the lounge's stool, the lounge's mantel, the bedroom's stool, the bedroom's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_28","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Danny is in the game room; Teresa is in the game room; the charger is on the game room's tray; the eraser cap is on the library's tray.\nStep 1: Danny moves the charger to the game room's sideboard.\nStep 2: Teresa moves to the library.\nStep 3: Danny leaves the room he was in.\nStep 4: Teresa moves the eraser cap to the library's sideboard.\nStep 5: Danny enters the library.\nStep 6: Teresa moves to the game room, and moves the eraser cap to the game room's tray.\nStep 7: Danny moves to the game room.\nStep 8: Teresa moves to the library.\nStep 9: Danny moves to the library.\nStep 10: Teresa moves to the game room.\n\n[QUESTION]\nWhere does Danny believe the charger is?\n\n[YOUR ANSWER]","reference_output":"Danny's belief on the charger:\n- Step 0: (initial state) {Danny location: game room; charger location: game room's tray; Danny sees charger: True; Danny's belief on charger: game room's tray}\n- Step 1: (Danny location unchanged; charger location changed) {Danny location: game room; charger location: game room's sideboard; Danny sees charger: True; Danny's belief on charger: game room's sideboard}\n- Step 2: (Danny location unchanged; charger location unchanged) {Danny location: game room; charger location: game room's sideboard; Danny sees charger: True; Danny's belief on charger: game room's sideboard}\n- Step 3: (Danny location changed; charger location unchanged) {Danny location: None; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\n- Step 4: (Danny location unchanged; charger location unchanged) {Danny location: None; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\n- Step 5: (Danny location changed; charger location unchanged) {Danny location: library; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\n- Step 6: (Danny location unchanged; charger location unchanged) {Danny location: library; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\n- Step 7: (Danny location changed; charger location unchanged) {Danny location: game room; charger location: game room's sideboard; Danny sees charger: True; Danny's belief on charger: game room's sideboard}\n- Step 8: (Danny location unchanged; charger location unchanged) {Danny location: game room; charger location: game room's sideboard; Danny sees charger: True; Danny's belief on charger: game room's sideboard}\n- Step 9: (Danny location changed; charger location unchanged) {Danny location: library; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\n- Step 10: (Danny location unchanged; charger location unchanged) {Danny location: library; charger location: game room's sideboard; Danny sees charger: False; Danny's belief on charger: game room's sideboard}\nFinal Answer: the game room's sideboard","item":{"question":"Where does Danny believe the charger is?","story_components":"Agents: [Danny, Teresa].\nObjects: [the charger, the eraser cap].\nRooms: [the game room, the library].\nContainers: [the game room's sideboard, the game room's tray, the library's sideboard, the library's tray]"}}
+{"instance_id":"tom_tracking_0.5k_29","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Rebecca is in the lounge; Dennis is in the lounge; the tweezers is on the foyer's display case; the rubber band is on the lounge's display case.\nStep 1: Rebecca moves to the foyer, and moves the rubber band to the foyer's bar.\nStep 2: Dennis moves to the foyer.\nStep 3: Rebecca leaves the room he was in.\nStep 4: Dennis moves to the lounge.\nStep 5: Rebecca enters the foyer.\nStep 6: Dennis moves to the foyer.\nStep 7: Rebecca leaves the room he was in.\nStep 8: Dennis moves the tweezers to the foyer's bar.\nStep 9: Rebecca enters the foyer.\nStep 10: Dennis leaves the room he was in.\n\n[QUESTION]\nWhere does Dennis believe the tweezers is?\n\n[YOUR ANSWER]","reference_output":"Dennis's belief on the tweezers:\n- Step 0: (initial state) {Dennis location: lounge; tweezers location: foyer's display case; Dennis sees tweezers: False; Dennis's belief on tweezers: None}\n- Step 1: (Dennis location unchanged; tweezers location unchanged) {Dennis location: lounge; tweezers location: foyer's display case; Dennis sees tweezers: False; Dennis's belief on tweezers: None}\n- Step 2: (Dennis location changed; tweezers location unchanged) {Dennis location: foyer; tweezers location: foyer's display case; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's display case}\n- Step 3: (Dennis location unchanged; tweezers location unchanged) {Dennis location: foyer; tweezers location: foyer's display case; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's display case}\n- Step 4: (Dennis location changed; tweezers location unchanged) {Dennis location: lounge; tweezers location: foyer's display case; Dennis sees tweezers: False; Dennis's belief on tweezers: foyer's display case}\n- Step 5: (Dennis location unchanged; tweezers location unchanged) {Dennis location: lounge; tweezers location: foyer's display case; Dennis sees tweezers: False; Dennis's belief on tweezers: foyer's display case}\n- Step 6: (Dennis location changed; tweezers location unchanged) {Dennis location: foyer; tweezers location: foyer's display case; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's display case}\n- Step 7: (Dennis location unchanged; tweezers location unchanged) {Dennis location: foyer; tweezers location: foyer's display case; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's display case}\n- Step 8: (Dennis location unchanged; tweezers location changed) {Dennis location: foyer; tweezers location: foyer's bar; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's bar}\n- Step 9: (Dennis location unchanged; tweezers location unchanged) {Dennis location: foyer; tweezers location: foyer's bar; Dennis sees tweezers: True; Dennis's belief on tweezers: foyer's bar}\n- Step 10: (Dennis location changed; tweezers location unchanged) {Dennis location: None; tweezers location: foyer's bar; Dennis sees tweezers: False; Dennis's belief on tweezers: foyer's bar}\nFinal Answer: the foyer's bar","item":{"question":"Where does Dennis believe the tweezers is?","story_components":"Agents: [Rebecca, Dennis].\nObjects: [the tweezers, the rubber band].\nRooms: [the foyer, the lounge].\nContainers: [the foyer's display case, the foyer's bar, the lounge's display case, the lounge's bar]"}}
+{"instance_id":"tom_tracking_0.5k_30","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Makayla is in the office; Nicole is in the office; the eyeglass cloth is on the living room's tv stand; the contact lens case is on the living room's cabinet top.\nStep 1: Makayla moves to the living room.\nStep 2: Nicole moves to the living room.\nStep 3: Makayla moves the contact lens case to the living room's tv stand.\nStep 4: Nicole moves the eyeglass cloth to the living room's cabinet top.\nStep 5: Makayla moves the eyeglass cloth to the living room's tv stand.\nStep 6: Nicole moves to the office.\nStep 7: Makayla moves the contact lens case to the living room's cabinet top.\nStep 8: Nicole moves to the living room.\nStep 9: Makayla moves the contact lens case to the living room's tv stand.\nStep 10: Nicole moves the eyeglass cloth to the living room's cabinet top.\n\n[QUESTION]\nWhere does Makayla believe the contact lens case is?\n\n[YOUR ANSWER]","reference_output":"Makayla's belief on the contact lens case:\n- Step 0: (initial state) {Makayla location: office; contact lens case location: living room's cabinet top; Makayla sees contact lens case: False; Makayla's belief on contact lens case: None}\n- Step 1: (Makayla location changed; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's cabinet top; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's cabinet top}\n- Step 2: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's cabinet top; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's cabinet top}\n- Step 3: (Makayla location unchanged; contact lens case location changed) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\n- Step 4: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\n- Step 5: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\n- Step 6: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\n- Step 7: (Makayla location unchanged; contact lens case location changed) {Makayla location: living room; contact lens case location: living room's cabinet top; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's cabinet top}\n- Step 8: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's cabinet top; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's cabinet top}\n- Step 9: (Makayla location unchanged; contact lens case location changed) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\n- Step 10: (Makayla location unchanged; contact lens case location unchanged) {Makayla location: living room; contact lens case location: living room's tv stand; Makayla sees contact lens case: True; Makayla's belief on contact lens case: living room's tv stand}\nFinal Answer: the living room's tv stand","item":{"question":"Where does Makayla believe the contact lens case is?","story_components":"Agents: [Makayla, Nicole].\nObjects: [the eyeglass cloth, the contact lens case].\nRooms: [the living room, the office].\nContainers: [the living room's cabinet top, the living room's tv stand, the office's cabinet top, the office's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_31","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mitchell is in the sauna; Cassandra is in the game room; the flash drive is on the game room's side table; the pebble is on the game room's side table.\nStep 1: Cassandra moves the flash drive to the game room's table.\nStep 2: Cassandra moves to the sauna.\nStep 3: Mitchell moves to the game room.\nStep 4: Cassandra moves to the game room.\nStep 5: Mitchell moves the pebble to the game room's table.\nStep 6: Cassandra moves the pebble to the game room's side table.\nStep 7: Mitchell leaves the room he was in.\nStep 8: Cassandra moves the flash drive to the game room's side table.\nStep 9: Mitchell enters the game room.\nStep 10: Cassandra moves the pebble to the game room's table.\n\n[QUESTION]\nWhere does Cassandra believe the pebble is?\n\n[YOUR ANSWER]","reference_output":"Cassandra's belief on the pebble:\n- Step 0: (initial state) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 1: (Cassandra location unchanged; pebble location unchanged) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 2: (Cassandra location changed; pebble location unchanged) {Cassandra location: sauna; pebble location: game room's side table; Cassandra sees pebble: False; Cassandra's belief on pebble: game room's side table}\n- Step 3: (Cassandra location unchanged; pebble location unchanged) {Cassandra location: sauna; pebble location: game room's side table; Cassandra sees pebble: False; Cassandra's belief on pebble: game room's side table}\n- Step 4: (Cassandra location changed; pebble location unchanged) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 5: (Cassandra location unchanged; pebble location changed) {Cassandra location: game room; pebble location: game room's table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's table}\n- Step 6: (Cassandra location unchanged; pebble location changed) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 7: (Cassandra location unchanged; pebble location unchanged) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 8: (Cassandra location unchanged; pebble location unchanged) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 9: (Cassandra location unchanged; pebble location unchanged) {Cassandra location: game room; pebble location: game room's side table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's side table}\n- Step 10: (Cassandra location unchanged; pebble location changed) {Cassandra location: game room; pebble location: game room's table; Cassandra sees pebble: True; Cassandra's belief on pebble: game room's table}\nFinal Answer: the game room's table","item":{"question":"Where does Cassandra believe the pebble is?","story_components":"Agents: [Mitchell, Cassandra].\nObjects: [the flash drive, the pebble].\nRooms: [the sauna, the game room].\nContainers: [the sauna's side table, the sauna's table, the game room's side table, the game room's table]"}}
+{"instance_id":"tom_tracking_0.5k_32","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Paul is in the garage; Judy is in the balcony; the face mask is on the garage's stand; the golf ball is on the balcony's stand.\nStep 1: Paul leaves the room he was in.\nStep 2: Judy moves to the garage.\nStep 3: Paul enters the garage.\nStep 4: Judy moves to the balcony, and moves the face mask to the balcony's stand.\nStep 5: Judy moves the golf ball to the balcony's side table.\nStep 6: Judy moves to the garage, and moves the golf ball to the garage's stand.\nStep 7: Paul moves to the balcony, and moves the golf ball to the balcony's stand.\nStep 8: Paul moves the face mask to the balcony's side table.\nStep 9: Paul moves to the garage, and moves the face mask to the garage's stand.\nStep 10: Judy leaves the room he was in.\n\n[QUESTION]\nWhere does Paul believe the golf ball is?\n\n[YOUR ANSWER]","reference_output":"Paul's belief on the golf ball:\n- Step 0: (initial state) {Paul location: garage; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 1: (Paul location changed; golf ball location unchanged) {Paul location: None; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 2: (Paul location unchanged; golf ball location unchanged) {Paul location: None; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 3: (Paul location changed; golf ball location unchanged) {Paul location: garage; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 4: (Paul location unchanged; golf ball location unchanged) {Paul location: garage; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 5: (Paul location unchanged; golf ball location changed) {Paul location: garage; golf ball location: balcony's side table; Paul sees golf ball: False; Paul's belief on golf ball: None}\n- Step 6: (Paul location unchanged; golf ball location changed) {Paul location: garage; golf ball location: garage's stand; Paul sees golf ball: True; Paul's belief on golf ball: garage's stand}\n- Step 7: (Paul location changed; golf ball location changed) {Paul location: balcony; golf ball location: balcony's stand; Paul sees golf ball: True; Paul's belief on golf ball: balcony's stand}\n- Step 8: (Paul location unchanged; golf ball location unchanged) {Paul location: balcony; golf ball location: balcony's stand; Paul sees golf ball: True; Paul's belief on golf ball: balcony's stand}\n- Step 9: (Paul location changed; golf ball location unchanged) {Paul location: garage; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: balcony's stand}\n- Step 10: (Paul location unchanged; golf ball location unchanged) {Paul location: garage; golf ball location: balcony's stand; Paul sees golf ball: False; Paul's belief on golf ball: balcony's stand}\nFinal Answer: the balcony's stand","item":{"question":"Where does Paul believe the golf ball is?","story_components":"Agents: [Paul, Judy].\nObjects: [the face mask, the golf ball].\nRooms: [the balcony, the garage].\nContainers: [the balcony's side table, the balcony's stand, the garage's side table, the garage's stand]"}}
+{"instance_id":"tom_tracking_0.5k_33","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nicole is in the laundry room; Wanda is in the laundry room; the sewing needle is on the laundry room's windowsill; the phone is on the closet's windowsill.\nStep 1: Nicole leaves the room he was in.\nStep 2: Wanda moves to the closet, and moves the sewing needle to the closet's windowsill.\nStep 3: Nicole enters the laundry room.\nStep 4: Wanda moves to the laundry room.\nStep 5: Nicole moves to the closet.\nStep 6: Nicole moves to the laundry room.\nStep 7: Nicole moves to the closet.\nStep 8: Nicole moves to the laundry room.\nStep 9: Nicole moves to the closet.\nStep 10: Nicole moves the phone to the closet's workbench.\n\n[QUESTION]\nWhere does Wanda believe the phone is?\n\n[YOUR ANSWER]","reference_output":"Wanda's belief on the phone:\n- Step 0: (initial state) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: None}\n- Step 1: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: None}\n- Step 2: (Wanda location changed; phone location unchanged) {Wanda location: closet; phone location: closet's windowsill; Wanda sees phone: True; Wanda's belief on phone: closet's windowsill}\n- Step 3: (Wanda location unchanged; phone location unchanged) {Wanda location: closet; phone location: closet's windowsill; Wanda sees phone: True; Wanda's belief on phone: closet's windowsill}\n- Step 4: (Wanda location changed; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 5: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 6: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 7: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 8: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 9: (Wanda location unchanged; phone location unchanged) {Wanda location: laundry room; phone location: closet's windowsill; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\n- Step 10: (Wanda location unchanged; phone location changed) {Wanda location: laundry room; phone location: closet's workbench; Wanda sees phone: False; Wanda's belief on phone: closet's windowsill}\nFinal Answer: the closet's windowsill","item":{"question":"Where does Wanda believe the phone is?","story_components":"Agents: [Nicole, Wanda].\nObjects: [the sewing needle, the phone].\nRooms: [the closet, the laundry room].\nContainers: [the closet's windowsill, the closet's workbench, the laundry room's windowsill, the laundry room's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_34","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Molly is in the sauna; Travis is in the sauna; the cufflink is on the sauna's stand; the light bulb is on the gym's stand.\nStep 1: Molly moves to the gym.\nStep 2: Travis moves the cufflink to the sauna's pedestal.\nStep 3: Molly moves to the sauna.\nStep 4: Travis moves to the gym.\nStep 5: Molly moves to the gym, and moves the cufflink to the gym's stand.\nStep 6: Travis leaves the room he was in.\nStep 7: Molly moves the light bulb to the gym's pedestal.\nStep 8: Travis enters the sauna.\nStep 9: Molly moves to the sauna, and moves the light bulb to the sauna's pedestal.\nStep 10: Travis moves the light bulb to the sauna's stand.\n\n[QUESTION]\nWhere does Travis believe the light bulb is?\n\n[YOUR ANSWER]","reference_output":"Travis's belief on the light bulb:\n- Step 0: (initial state) {Travis location: sauna; light bulb location: gym's stand; Travis sees light bulb: False; Travis's belief on light bulb: None}\n- Step 1: (Travis location unchanged; light bulb location unchanged) {Travis location: sauna; light bulb location: gym's stand; Travis sees light bulb: False; Travis's belief on light bulb: None}\n- Step 2: (Travis location unchanged; light bulb location unchanged) {Travis location: sauna; light bulb location: gym's stand; Travis sees light bulb: False; Travis's belief on light bulb: None}\n- Step 3: (Travis location unchanged; light bulb location unchanged) {Travis location: sauna; light bulb location: gym's stand; Travis sees light bulb: False; Travis's belief on light bulb: None}\n- Step 4: (Travis location changed; light bulb location unchanged) {Travis location: gym; light bulb location: gym's stand; Travis sees light bulb: True; Travis's belief on light bulb: gym's stand}\n- Step 5: (Travis location unchanged; light bulb location unchanged) {Travis location: gym; light bulb location: gym's stand; Travis sees light bulb: True; Travis's belief on light bulb: gym's stand}\n- Step 6: (Travis location changed; light bulb location unchanged) {Travis location: None; light bulb location: gym's stand; Travis sees light bulb: False; Travis's belief on light bulb: gym's stand}\n- Step 7: (Travis location unchanged; light bulb location changed) {Travis location: None; light bulb location: gym's pedestal; Travis sees light bulb: False; Travis's belief on light bulb: gym's stand}\n- Step 8: (Travis location changed; light bulb location unchanged) {Travis location: sauna; light bulb location: gym's pedestal; Travis sees light bulb: False; Travis's belief on light bulb: gym's stand}\n- Step 9: (Travis location unchanged; light bulb location changed) {Travis location: sauna; light bulb location: sauna's pedestal; Travis sees light bulb: True; Travis's belief on light bulb: sauna's pedestal}\n- Step 10: (Travis location unchanged; light bulb location changed) {Travis location: sauna; light bulb location: sauna's stand; Travis sees light bulb: True; Travis's belief on light bulb: sauna's stand}\nFinal Answer: the sauna's stand","item":{"question":"Where does Travis believe the light bulb is?","story_components":"Agents: [Molly, Travis].\nObjects: [the cufflink, the light bulb].\nRooms: [the gym, the sauna].\nContainers: [the gym's stand, the gym's pedestal, the sauna's stand, the sauna's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_35","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Michael is in the foyer; Evan is in the foyer; the remote is on the foyer's side table; the playing card is on the foyer's mantel.\nStep 1: Michael moves to the gym.\nStep 2: Evan moves to the gym.\nStep 3: Michael moves to the foyer.\nStep 4: Evan moves to the foyer.\nStep 5: Michael moves the playing card to the foyer's side table.\nStep 6: Evan moves to the gym.\nStep 7: Michael leaves the room he was in.\nStep 8: Evan moves to the foyer.\nStep 9: Michael enters the gym.\nStep 10: Evan moves the remote to the foyer's mantel.\n\n[QUESTION]\nWhere does Evan believe the playing card is?\n\n[YOUR ANSWER]","reference_output":"Evan's belief on the playing card:\n- Step 0: (initial state) {Evan location: foyer; playing card location: foyer's mantel; Evan sees playing card: True; Evan's belief on playing card: foyer's mantel}\n- Step 1: (Evan location unchanged; playing card location unchanged) {Evan location: foyer; playing card location: foyer's mantel; Evan sees playing card: True; Evan's belief on playing card: foyer's mantel}\n- Step 2: (Evan location changed; playing card location unchanged) {Evan location: gym; playing card location: foyer's mantel; Evan sees playing card: False; Evan's belief on playing card: foyer's mantel}\n- Step 3: (Evan location unchanged; playing card location unchanged) {Evan location: gym; playing card location: foyer's mantel; Evan sees playing card: False; Evan's belief on playing card: foyer's mantel}\n- Step 4: (Evan location changed; playing card location unchanged) {Evan location: foyer; playing card location: foyer's mantel; Evan sees playing card: True; Evan's belief on playing card: foyer's mantel}\n- Step 5: (Evan location unchanged; playing card location changed) {Evan location: foyer; playing card location: foyer's side table; Evan sees playing card: True; Evan's belief on playing card: foyer's side table}\n- Step 6: (Evan location changed; playing card location unchanged) {Evan location: gym; playing card location: foyer's side table; Evan sees playing card: False; Evan's belief on playing card: foyer's side table}\n- Step 7: (Evan location unchanged; playing card location unchanged) {Evan location: gym; playing card location: foyer's side table; Evan sees playing card: False; Evan's belief on playing card: foyer's side table}\n- Step 8: (Evan location changed; playing card location unchanged) {Evan location: foyer; playing card location: foyer's side table; Evan sees playing card: True; Evan's belief on playing card: foyer's side table}\n- Step 9: (Evan location unchanged; playing card location unchanged) {Evan location: foyer; playing card location: foyer's side table; Evan sees playing card: True; Evan's belief on playing card: foyer's side table}\n- Step 10: (Evan location unchanged; playing card location unchanged) {Evan location: foyer; playing card location: foyer's side table; Evan sees playing card: True; Evan's belief on playing card: foyer's side table}\nFinal Answer: the foyer's side table","item":{"question":"Where does Evan believe the playing card is?","story_components":"Agents: [Michael, Evan].\nObjects: [the remote, the playing card].\nRooms: [the foyer, the gym].\nContainers: [the foyer's mantel, the foyer's side table, the gym's mantel, the gym's side table]"}}
+{"instance_id":"tom_tracking_0.5k_36","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kaitlin is in the nursery; Mitchell is in the gym; the pill bottle is on the nursery's display case; the orange is on the nursery's bench.\nStep 1: Kaitlin moves to the gym.\nStep 2: Mitchell moves to the nursery.\nStep 3: Kaitlin moves to the nursery.\nStep 4: Mitchell moves to the gym, and moves the pill bottle to the gym's display case.\nStep 5: Kaitlin moves to the gym.\nStep 6: Mitchell moves the pill bottle to the gym's bench.\nStep 7: Kaitlin moves to the nursery.\nStep 8: Mitchell moves the pill bottle to the gym's display case.\nStep 9: Kaitlin moves to the gym.\nStep 10: Mitchell moves to the nursery, and moves the pill bottle to the nursery's display case.\n\n[QUESTION]\nWhere does Kaitlin believe the orange is?\n\n[YOUR ANSWER]","reference_output":"Kaitlin's belief on the orange:\n- Step 0: (initial state) {Kaitlin location: nursery; orange location: nursery's bench; Kaitlin sees orange: True; Kaitlin's belief on orange: nursery's bench}\n- Step 1: (Kaitlin location changed; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\n- Step 2: (Kaitlin location unchanged; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\n- Step 3: (Kaitlin location changed; orange location unchanged) {Kaitlin location: nursery; orange location: nursery's bench; Kaitlin sees orange: True; Kaitlin's belief on orange: nursery's bench}\n- Step 4: (Kaitlin location unchanged; orange location unchanged) {Kaitlin location: nursery; orange location: nursery's bench; Kaitlin sees orange: True; Kaitlin's belief on orange: nursery's bench}\n- Step 5: (Kaitlin location changed; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\n- Step 6: (Kaitlin location unchanged; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\n- Step 7: (Kaitlin location changed; orange location unchanged) {Kaitlin location: nursery; orange location: nursery's bench; Kaitlin sees orange: True; Kaitlin's belief on orange: nursery's bench}\n- Step 8: (Kaitlin location unchanged; orange location unchanged) {Kaitlin location: nursery; orange location: nursery's bench; Kaitlin sees orange: True; Kaitlin's belief on orange: nursery's bench}\n- Step 9: (Kaitlin location changed; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\n- Step 10: (Kaitlin location unchanged; orange location unchanged) {Kaitlin location: gym; orange location: nursery's bench; Kaitlin sees orange: False; Kaitlin's belief on orange: nursery's bench}\nFinal Answer: the nursery's bench","item":{"question":"Where does Kaitlin believe the orange is?","story_components":"Agents: [Kaitlin, Mitchell].\nObjects: [the pill bottle, the orange].\nRooms: [the nursery, the gym].\nContainers: [the nursery's display case, the nursery's bench, the gym's display case, the gym's bench]"}}
+{"instance_id":"tom_tracking_0.5k_37","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Elizabeth is in the craft room; Kevin is in the craft room; the pen is on the craft room's desk; the hand warmer is on the craft room's desk.\nStep 1: Elizabeth leaves the room he was in.\nStep 2: Kevin moves to the study.\nStep 3: Elizabeth enters the study.\nStep 4: Kevin moves to the craft room.\nStep 5: Elizabeth moves to the craft room.\nStep 6: Kevin moves the hand warmer to the craft room's credenza.\nStep 7: Elizabeth moves the pen to the craft room's credenza.\nStep 8: Kevin moves to the study, and moves the pen to the study's credenza.\nStep 9: Elizabeth moves to the study.\nStep 10: Kevin moves to the craft room, and moves the pen to the craft room's desk.\n\n[QUESTION]\nWhere does Kevin believe the pen is?\n\n[YOUR ANSWER]","reference_output":"Kevin's belief on the pen:\n- Step 0: (initial state) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\n- Step 1: (Kevin location unchanged; pen location unchanged) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\n- Step 2: (Kevin location changed; pen location unchanged) {Kevin location: study; pen location: craft room's desk; Kevin sees pen: False; Kevin's belief on pen: craft room's desk}\n- Step 3: (Kevin location unchanged; pen location unchanged) {Kevin location: study; pen location: craft room's desk; Kevin sees pen: False; Kevin's belief on pen: craft room's desk}\n- Step 4: (Kevin location changed; pen location unchanged) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\n- Step 5: (Kevin location unchanged; pen location unchanged) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\n- Step 6: (Kevin location unchanged; pen location unchanged) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\n- Step 7: (Kevin location unchanged; pen location changed) {Kevin location: craft room; pen location: craft room's credenza; Kevin sees pen: True; Kevin's belief on pen: craft room's credenza}\n- Step 8: (Kevin location changed; pen location changed) {Kevin location: study; pen location: study's credenza; Kevin sees pen: True; Kevin's belief on pen: study's credenza}\n- Step 9: (Kevin location unchanged; pen location unchanged) {Kevin location: study; pen location: study's credenza; Kevin sees pen: True; Kevin's belief on pen: study's credenza}\n- Step 10: (Kevin location changed; pen location changed) {Kevin location: craft room; pen location: craft room's desk; Kevin sees pen: True; Kevin's belief on pen: craft room's desk}\nFinal Answer: the craft room's desk","item":{"question":"Where does Kevin believe the pen is?","story_components":"Agents: [Elizabeth, Kevin].\nObjects: [the pen, the hand warmer].\nRooms: [the craft room, the study].\nContainers: [the craft room's desk, the craft room's credenza, the study's desk, the study's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_38","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Bradley is in the foyer; John is in the foyer; the key is on the closet's sideboard; the rubber band is on the foyer's sideboard.\nStep 1: Bradley leaves the room he was in.\nStep 2: John moves to the closet.\nStep 3: Bradley enters the closet.\nStep 4: John moves to the foyer, and moves the key to the foyer's podium.\nStep 5: Bradley moves to the foyer.\nStep 6: John moves to the closet, and moves the rubber band to the closet's sideboard.\nStep 7: Bradley moves to the closet.\nStep 8: John moves to the foyer.\nStep 9: Bradley moves to the foyer, and moves the rubber band to the foyer's sideboard.\nStep 10: John moves the key to the foyer's sideboard.\n\n[QUESTION]\nWhere does John believe the key is?\n\n[YOUR ANSWER]","reference_output":"John's belief on the key:\n- Step 0: (initial state) {John location: foyer; key location: closet's sideboard; John sees key: False; John's belief on key: None}\n- Step 1: (John location unchanged; key location unchanged) {John location: foyer; key location: closet's sideboard; John sees key: False; John's belief on key: None}\n- Step 2: (John location changed; key location unchanged) {John location: closet; key location: closet's sideboard; John sees key: True; John's belief on key: closet's sideboard}\n- Step 3: (John location unchanged; key location unchanged) {John location: closet; key location: closet's sideboard; John sees key: True; John's belief on key: closet's sideboard}\n- Step 4: (John location changed; key location changed) {John location: foyer; key location: foyer's podium; John sees key: True; John's belief on key: foyer's podium}\n- Step 5: (John location unchanged; key location unchanged) {John location: foyer; key location: foyer's podium; John sees key: True; John's belief on key: foyer's podium}\n- Step 6: (John location changed; key location unchanged) {John location: closet; key location: foyer's podium; John sees key: False; John's belief on key: foyer's podium}\n- Step 7: (John location unchanged; key location unchanged) {John location: closet; key location: foyer's podium; John sees key: False; John's belief on key: foyer's podium}\n- Step 8: (John location changed; key location unchanged) {John location: foyer; key location: foyer's podium; John sees key: True; John's belief on key: foyer's podium}\n- Step 9: (John location unchanged; key location unchanged) {John location: foyer; key location: foyer's podium; John sees key: True; John's belief on key: foyer's podium}\n- Step 10: (John location unchanged; key location changed) {John location: foyer; key location: foyer's sideboard; John sees key: True; John's belief on key: foyer's sideboard}\nFinal Answer: the foyer's sideboard","item":{"question":"Where does John believe the key is?","story_components":"Agents: [Bradley, John].\nObjects: [the key, the rubber band].\nRooms: [the foyer, the closet].\nContainers: [the foyer's sideboard, the foyer's podium, the closet's sideboard, the closet's podium]"}}
+{"instance_id":"tom_tracking_0.5k_39","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Travis is in the storage room; Nicholas is in the guest room; the condiment packet is on the storage room's cabinet top; the pencil case is on the storage room's rack.\nStep 1: Travis moves to the guest room, and moves the pencil case to the guest room's cabinet top.\nStep 2: Nicholas moves to the storage room, and moves the pencil case to the storage room's rack.\nStep 3: Travis moves to the storage room.\nStep 4: Nicholas moves to the guest room, and moves the condiment packet to the guest room's cabinet top.\nStep 5: Travis moves to the guest room, and moves the pencil case to the guest room's cabinet top.\nStep 6: Nicholas moves to the storage room, and moves the condiment packet to the storage room's cabinet top.\nStep 7: Travis leaves the room he was in.\nStep 8: Nicholas moves to the guest room, and moves the condiment packet to the guest room's cabinet top.\nStep 9: Travis enters the guest room.\nStep 10: Nicholas moves the condiment packet to the guest room's rack.\n\n[QUESTION]\nWhere does Nicholas believe the pencil case is?\n\n[YOUR ANSWER]","reference_output":"Nicholas's belief on the pencil case:\n- Step 0: (initial state) {Nicholas location: guest room; pencil case location: storage room's rack; Nicholas sees pencil case: False; Nicholas's belief on pencil case: None}\n- Step 1: (Nicholas location unchanged; pencil case location changed) {Nicholas location: guest room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: True; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 2: (Nicholas location changed; pencil case location changed) {Nicholas location: storage room; pencil case location: storage room's rack; Nicholas sees pencil case: True; Nicholas's belief on pencil case: storage room's rack}\n- Step 3: (Nicholas location unchanged; pencil case location unchanged) {Nicholas location: storage room; pencil case location: storage room's rack; Nicholas sees pencil case: True; Nicholas's belief on pencil case: storage room's rack}\n- Step 4: (Nicholas location changed; pencil case location unchanged) {Nicholas location: guest room; pencil case location: storage room's rack; Nicholas sees pencil case: False; Nicholas's belief on pencil case: storage room's rack}\n- Step 5: (Nicholas location unchanged; pencil case location changed) {Nicholas location: guest room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: True; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 6: (Nicholas location changed; pencil case location unchanged) {Nicholas location: storage room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: False; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 7: (Nicholas location unchanged; pencil case location unchanged) {Nicholas location: storage room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: False; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 8: (Nicholas location changed; pencil case location unchanged) {Nicholas location: guest room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: True; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 9: (Nicholas location unchanged; pencil case location unchanged) {Nicholas location: guest room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: True; Nicholas's belief on pencil case: guest room's cabinet top}\n- Step 10: (Nicholas location unchanged; pencil case location unchanged) {Nicholas location: guest room; pencil case location: guest room's cabinet top; Nicholas sees pencil case: True; Nicholas's belief on pencil case: guest room's cabinet top}\nFinal Answer: the guest room's cabinet top","item":{"question":"Where does Nicholas believe the pencil case is?","story_components":"Agents: [Travis, Nicholas].\nObjects: [the condiment packet, the pencil case].\nRooms: [the storage room, the guest room].\nContainers: [the storage room's cabinet top, the storage room's rack, the guest room's cabinet top, the guest room's rack]"}}
+{"instance_id":"tom_tracking_0.5k_40","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the nursery; Tracy is in the sunroom; the nail clipper is on the sunroom's nightstand; the lighter is on the nursery's nightstand.\nStep 1: Christine moves to the sunroom, and moves the lighter to the sunroom's nightstand.\nStep 2: Tracy moves to the nursery, and moves the nail clipper to the nursery's nightstand.\nStep 3: Christine leaves the room he was in.\nStep 4: Tracy moves to the sunroom, and moves the nail clipper to the sunroom's tv stand.\nStep 5: Christine enters the sunroom.\nStep 6: Tracy moves to the nursery.\nStep 7: Christine moves the lighter to the sunroom's tv stand.\nStep 8: Christine leaves the room he was in.\nStep 9: Christine enters the sunroom.\nStep 10: Christine moves to the nursery.\n\n[QUESTION]\nWhere does Tracy believe the lighter is?\n\n[YOUR ANSWER]","reference_output":"Tracy's belief on the lighter:\n- Step 0: (initial state) {Tracy location: sunroom; lighter location: nursery's nightstand; Tracy sees lighter: False; Tracy's belief on lighter: None}\n- Step 1: (Tracy location unchanged; lighter location changed) {Tracy location: sunroom; lighter location: sunroom's nightstand; Tracy sees lighter: True; Tracy's belief on lighter: sunroom's nightstand}\n- Step 2: (Tracy location changed; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's nightstand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 3: (Tracy location unchanged; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's nightstand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 4: (Tracy location changed; lighter location unchanged) {Tracy location: sunroom; lighter location: sunroom's nightstand; Tracy sees lighter: True; Tracy's belief on lighter: sunroom's nightstand}\n- Step 5: (Tracy location unchanged; lighter location unchanged) {Tracy location: sunroom; lighter location: sunroom's nightstand; Tracy sees lighter: True; Tracy's belief on lighter: sunroom's nightstand}\n- Step 6: (Tracy location changed; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's nightstand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 7: (Tracy location unchanged; lighter location changed) {Tracy location: nursery; lighter location: sunroom's tv stand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 8: (Tracy location unchanged; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's tv stand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 9: (Tracy location unchanged; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's tv stand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\n- Step 10: (Tracy location unchanged; lighter location unchanged) {Tracy location: nursery; lighter location: sunroom's tv stand; Tracy sees lighter: False; Tracy's belief on lighter: sunroom's nightstand}\nFinal Answer: the sunroom's nightstand","item":{"question":"Where does Tracy believe the lighter is?","story_components":"Agents: [Christine, Tracy].\nObjects: [the nail clipper, the lighter].\nRooms: [the nursery, the sunroom].\nContainers: [the nursery's nightstand, the nursery's tv stand, the sunroom's nightstand, the sunroom's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_41","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Caroline is in the nursery; Donald is in the basement; the lighter is on the basement's pallet; the button is on the basement's bistro table.\nStep 1: Caroline moves to the basement.\nStep 2: Donald moves the button to the basement's pallet.\nStep 3: Caroline leaves the room he was in.\nStep 4: Donald moves the lighter to the basement's bistro table.\nStep 5: Caroline enters the nursery.\nStep 6: Donald moves to the nursery, and moves the lighter to the nursery's bistro table.\nStep 7: Caroline moves to the basement, and moves the lighter to the basement's bistro table.\nStep 8: Donald moves to the basement.\nStep 9: Caroline moves the button to the basement's bistro table.\nStep 10: Donald leaves the room he was in.\n\n[QUESTION]\nWhere does Donald believe the lighter is?\n\n[YOUR ANSWER]","reference_output":"Donald's belief on the lighter:\n- Step 0: (initial state) {Donald location: basement; lighter location: basement's pallet; Donald sees lighter: True; Donald's belief on lighter: basement's pallet}\n- Step 1: (Donald location unchanged; lighter location unchanged) {Donald location: basement; lighter location: basement's pallet; Donald sees lighter: True; Donald's belief on lighter: basement's pallet}\n- Step 2: (Donald location unchanged; lighter location unchanged) {Donald location: basement; lighter location: basement's pallet; Donald sees lighter: True; Donald's belief on lighter: basement's pallet}\n- Step 3: (Donald location unchanged; lighter location unchanged) {Donald location: basement; lighter location: basement's pallet; Donald sees lighter: True; Donald's belief on lighter: basement's pallet}\n- Step 4: (Donald location unchanged; lighter location changed) {Donald location: basement; lighter location: basement's bistro table; Donald sees lighter: True; Donald's belief on lighter: basement's bistro table}\n- Step 5: (Donald location unchanged; lighter location unchanged) {Donald location: basement; lighter location: basement's bistro table; Donald sees lighter: True; Donald's belief on lighter: basement's bistro table}\n- Step 6: (Donald location changed; lighter location changed) {Donald location: nursery; lighter location: nursery's bistro table; Donald sees lighter: True; Donald's belief on lighter: nursery's bistro table}\n- Step 7: (Donald location unchanged; lighter location changed) {Donald location: nursery; lighter location: basement's bistro table; Donald sees lighter: False; Donald's belief on lighter: nursery's bistro table}\n- Step 8: (Donald location changed; lighter location unchanged) {Donald location: basement; lighter location: basement's bistro table; Donald sees lighter: True; Donald's belief on lighter: basement's bistro table}\n- Step 9: (Donald location unchanged; lighter location unchanged) {Donald location: basement; lighter location: basement's bistro table; Donald sees lighter: True; Donald's belief on lighter: basement's bistro table}\n- Step 10: (Donald location changed; lighter location unchanged) {Donald location: None; lighter location: basement's bistro table; Donald sees lighter: False; Donald's belief on lighter: basement's bistro table}\nFinal Answer: the basement's bistro table","item":{"question":"Where does Donald believe the lighter is?","story_components":"Agents: [Caroline, Donald].\nObjects: [the lighter, the button].\nRooms: [the nursery, the basement].\nContainers: [the nursery's bistro table, the nursery's pallet, the basement's bistro table, the basement's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_42","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Haley is in the balcony; Lindsey is in the balcony; the contact lens case is on the gym's tv stand; the pen cap is on the gym's workbench.\nStep 1: Haley moves to the gym.\nStep 2: Haley moves to the balcony, and moves the pen cap to the balcony's workbench.\nStep 3: Haley leaves the room he was in.\nStep 4: Lindsey leaves the room he was in.\nStep 5: Haley enters the balcony.\nStep 6: Lindsey enters the balcony.\nStep 7: Haley moves to the gym, and moves the pen cap to the gym's workbench.\nStep 8: Lindsey moves to the gym.\nStep 9: Haley moves the contact lens case to the gym's workbench.\nStep 10: Lindsey moves to the balcony, and moves the contact lens case to the balcony's tv stand.\n\n[QUESTION]\nWhere does Lindsey believe the pen cap is?\n\n[YOUR ANSWER]","reference_output":"Lindsey's belief on the pen cap:\n- Step 0: (initial state) {Lindsey location: balcony; pen cap location: gym's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: None}\n- Step 1: (Lindsey location unchanged; pen cap location unchanged) {Lindsey location: balcony; pen cap location: gym's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: None}\n- Step 2: (Lindsey location unchanged; pen cap location changed) {Lindsey location: balcony; pen cap location: balcony's workbench; Lindsey sees pen cap: True; Lindsey's belief on pen cap: balcony's workbench}\n- Step 3: (Lindsey location unchanged; pen cap location unchanged) {Lindsey location: balcony; pen cap location: balcony's workbench; Lindsey sees pen cap: True; Lindsey's belief on pen cap: balcony's workbench}\n- Step 4: (Lindsey location changed; pen cap location unchanged) {Lindsey location: None; pen cap location: balcony's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: balcony's workbench}\n- Step 5: (Lindsey location unchanged; pen cap location unchanged) {Lindsey location: None; pen cap location: balcony's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: balcony's workbench}\n- Step 6: (Lindsey location changed; pen cap location unchanged) {Lindsey location: balcony; pen cap location: balcony's workbench; Lindsey sees pen cap: True; Lindsey's belief on pen cap: balcony's workbench}\n- Step 7: (Lindsey location unchanged; pen cap location changed) {Lindsey location: balcony; pen cap location: gym's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: balcony's workbench}\n- Step 8: (Lindsey location changed; pen cap location unchanged) {Lindsey location: gym; pen cap location: gym's workbench; Lindsey sees pen cap: True; Lindsey's belief on pen cap: gym's workbench}\n- Step 9: (Lindsey location unchanged; pen cap location unchanged) {Lindsey location: gym; pen cap location: gym's workbench; Lindsey sees pen cap: True; Lindsey's belief on pen cap: gym's workbench}\n- Step 10: (Lindsey location changed; pen cap location unchanged) {Lindsey location: balcony; pen cap location: gym's workbench; Lindsey sees pen cap: False; Lindsey's belief on pen cap: gym's workbench}\nFinal Answer: the gym's workbench","item":{"question":"Where does Lindsey believe the pen cap is?","story_components":"Agents: [Haley, Lindsey].\nObjects: [the contact lens case, the pen cap].\nRooms: [the balcony, the gym].\nContainers: [the balcony's tv stand, the balcony's workbench, the gym's tv stand, the gym's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_43","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Benjamin is in the home theater; Stacey is in the garage; the contact lens case is on the garage's console table; the chocolate bar is on the home theater's mantel.\nStep 1: Benjamin moves to the garage, and moves the chocolate bar to the garage's mantel.\nStep 2: Stacey leaves the room he was in.\nStep 3: Benjamin moves to the home theater.\nStep 4: Stacey enters the garage.\nStep 5: Stacey leaves the room he was in.\nStep 6: Stacey enters the home theater.\nStep 7: Benjamin moves to the garage.\nStep 8: Benjamin moves the contact lens case to the garage's mantel.\nStep 9: Benjamin leaves the room he was in.\nStep 10: Stacey moves to the garage.\n\n[QUESTION]\nWhere does Stacey believe the chocolate bar is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the chocolate bar:\n- Step 0: (initial state) {Stacey location: garage; chocolate bar location: home theater's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: None}\n- Step 1: (Stacey location unchanged; chocolate bar location changed) {Stacey location: garage; chocolate bar location: garage's mantel; Stacey sees chocolate bar: True; Stacey's belief on chocolate bar: garage's mantel}\n- Step 2: (Stacey location changed; chocolate bar location unchanged) {Stacey location: None; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 3: (Stacey location unchanged; chocolate bar location unchanged) {Stacey location: None; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 4: (Stacey location changed; chocolate bar location unchanged) {Stacey location: garage; chocolate bar location: garage's mantel; Stacey sees chocolate bar: True; Stacey's belief on chocolate bar: garage's mantel}\n- Step 5: (Stacey location changed; chocolate bar location unchanged) {Stacey location: None; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 6: (Stacey location changed; chocolate bar location unchanged) {Stacey location: home theater; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 7: (Stacey location unchanged; chocolate bar location unchanged) {Stacey location: home theater; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 8: (Stacey location unchanged; chocolate bar location unchanged) {Stacey location: home theater; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 9: (Stacey location unchanged; chocolate bar location unchanged) {Stacey location: home theater; chocolate bar location: garage's mantel; Stacey sees chocolate bar: False; Stacey's belief on chocolate bar: garage's mantel}\n- Step 10: (Stacey location changed; chocolate bar location unchanged) {Stacey location: garage; chocolate bar location: garage's mantel; Stacey sees chocolate bar: True; Stacey's belief on chocolate bar: garage's mantel}\nFinal Answer: the garage's mantel","item":{"question":"Where does Stacey believe the chocolate bar is?","story_components":"Agents: [Benjamin, Stacey].\nObjects: [the contact lens case, the chocolate bar].\nRooms: [the garage, the home theater].\nContainers: [the garage's mantel, the garage's console table, the home theater's mantel, the home theater's console table]"}}
+{"instance_id":"tom_tracking_0.5k_44","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Austin is in the closet; Donald is in the closet; the matchbox is on the balcony's bistro table; the stress ball is on the closet's counter.\nStep 1: Austin moves the stress ball to the closet's bistro table.\nStep 2: Donald leaves the room he was in.\nStep 3: Austin moves the stress ball to the closet's counter.\nStep 4: Donald enters the balcony.\nStep 5: Austin moves the stress ball to the closet's bistro table.\nStep 6: Donald moves the matchbox to the balcony's counter.\nStep 7: Austin moves to the balcony, and moves the stress ball to the balcony's counter.\nStep 8: Donald moves to the closet, and moves the matchbox to the closet's bistro table.\nStep 9: Austin leaves the room he was in.\nStep 10: Donald moves to the balcony, and moves the matchbox to the balcony's bistro table.\n\n[QUESTION]\nWhere does Donald believe the matchbox is?\n\n[YOUR ANSWER]","reference_output":"Donald's belief on the matchbox:\n- Step 0: (initial state) {Donald location: closet; matchbox location: balcony's bistro table; Donald sees matchbox: False; Donald's belief on matchbox: None}\n- Step 1: (Donald location unchanged; matchbox location unchanged) {Donald location: closet; matchbox location: balcony's bistro table; Donald sees matchbox: False; Donald's belief on matchbox: None}\n- Step 2: (Donald location changed; matchbox location unchanged) {Donald location: None; matchbox location: balcony's bistro table; Donald sees matchbox: False; Donald's belief on matchbox: None}\n- Step 3: (Donald location unchanged; matchbox location unchanged) {Donald location: None; matchbox location: balcony's bistro table; Donald sees matchbox: False; Donald's belief on matchbox: None}\n- Step 4: (Donald location changed; matchbox location unchanged) {Donald location: balcony; matchbox location: balcony's bistro table; Donald sees matchbox: True; Donald's belief on matchbox: balcony's bistro table}\n- Step 5: (Donald location unchanged; matchbox location unchanged) {Donald location: balcony; matchbox location: balcony's bistro table; Donald sees matchbox: True; Donald's belief on matchbox: balcony's bistro table}\n- Step 6: (Donald location unchanged; matchbox location changed) {Donald location: balcony; matchbox location: balcony's counter; Donald sees matchbox: True; Donald's belief on matchbox: balcony's counter}\n- Step 7: (Donald location unchanged; matchbox location unchanged) {Donald location: balcony; matchbox location: balcony's counter; Donald sees matchbox: True; Donald's belief on matchbox: balcony's counter}\n- Step 8: (Donald location changed; matchbox location changed) {Donald location: closet; matchbox location: closet's bistro table; Donald sees matchbox: True; Donald's belief on matchbox: closet's bistro table}\n- Step 9: (Donald location unchanged; matchbox location unchanged) {Donald location: closet; matchbox location: closet's bistro table; Donald sees matchbox: True; Donald's belief on matchbox: closet's bistro table}\n- Step 10: (Donald location changed; matchbox location changed) {Donald location: balcony; matchbox location: balcony's bistro table; Donald sees matchbox: True; Donald's belief on matchbox: balcony's bistro table}\nFinal Answer: the balcony's bistro table","item":{"question":"Where does Donald believe the matchbox is?","story_components":"Agents: [Austin, Donald].\nObjects: [the matchbox, the stress ball].\nRooms: [the balcony, the closet].\nContainers: [the balcony's bistro table, the balcony's counter, the closet's bistro table, the closet's counter]"}}
+{"instance_id":"tom_tracking_0.5k_45","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kristin is in the gym; Crystal is in the gym; the keychain is on the gym's display case; the nail file is on the gym's display case.\nStep 1: Kristin moves to the craft room.\nStep 2: Crystal leaves the room he was in.\nStep 3: Kristin moves to the gym.\nStep 4: Crystal enters the craft room.\nStep 5: Kristin moves the keychain to the gym's tv stand.\nStep 6: Kristin moves to the craft room, and moves the nail file to the craft room's display case.\nStep 7: Kristin moves the nail file to the craft room's tv stand.\nStep 8: Crystal moves to the gym.\nStep 9: Kristin leaves the room he was in.\nStep 10: Crystal leaves the room he was in.\n\n[QUESTION]\nWhere does Crystal believe the keychain is?\n\n[YOUR ANSWER]","reference_output":"Crystal's belief on the keychain:\n- Step 0: (initial state) {Crystal location: gym; keychain location: gym's display case; Crystal sees keychain: True; Crystal's belief on keychain: gym's display case}\n- Step 1: (Crystal location unchanged; keychain location unchanged) {Crystal location: gym; keychain location: gym's display case; Crystal sees keychain: True; Crystal's belief on keychain: gym's display case}\n- Step 2: (Crystal location changed; keychain location unchanged) {Crystal location: None; keychain location: gym's display case; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 3: (Crystal location unchanged; keychain location unchanged) {Crystal location: None; keychain location: gym's display case; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 4: (Crystal location changed; keychain location unchanged) {Crystal location: craft room; keychain location: gym's display case; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 5: (Crystal location unchanged; keychain location changed) {Crystal location: craft room; keychain location: gym's tv stand; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 6: (Crystal location unchanged; keychain location unchanged) {Crystal location: craft room; keychain location: gym's tv stand; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 7: (Crystal location unchanged; keychain location unchanged) {Crystal location: craft room; keychain location: gym's tv stand; Crystal sees keychain: False; Crystal's belief on keychain: gym's display case}\n- Step 8: (Crystal location changed; keychain location unchanged) {Crystal location: gym; keychain location: gym's tv stand; Crystal sees keychain: True; Crystal's belief on keychain: gym's tv stand}\n- Step 9: (Crystal location unchanged; keychain location unchanged) {Crystal location: gym; keychain location: gym's tv stand; Crystal sees keychain: True; Crystal's belief on keychain: gym's tv stand}\n- Step 10: (Crystal location changed; keychain location unchanged) {Crystal location: None; keychain location: gym's tv stand; Crystal sees keychain: False; Crystal's belief on keychain: gym's tv stand}\nFinal Answer: the gym's tv stand","item":{"question":"Where does Crystal believe the keychain is?","story_components":"Agents: [Kristin, Crystal].\nObjects: [the keychain, the nail file].\nRooms: [the gym, the craft room].\nContainers: [the gym's display case, the gym's tv stand, the craft room's display case, the craft room's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_46","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Amanda is in the attic; Kathryn is in the guest room; the chewing gum is on the guest room's pallet; the notebook is on the guest room's pallet.\nStep 1: Kathryn leaves the room he was in.\nStep 2: Kathryn enters the guest room.\nStep 3: Amanda moves to the guest room.\nStep 4: Kathryn moves the notebook to the guest room's ledge.\nStep 5: Amanda moves the chewing gum to the guest room's ledge.\nStep 6: Kathryn moves to the attic.\nStep 7: Amanda moves to the attic.\nStep 8: Kathryn moves to the guest room.\nStep 9: Kathryn leaves the room he was in.\nStep 10: Kathryn enters the guest room.\n\n[QUESTION]\nWhere does Amanda believe the notebook is?\n\n[YOUR ANSWER]","reference_output":"Amanda's belief on the notebook:\n- Step 0: (initial state) {Amanda location: attic; notebook location: guest room's pallet; Amanda sees notebook: False; Amanda's belief on notebook: None}\n- Step 1: (Amanda location unchanged; notebook location unchanged) {Amanda location: attic; notebook location: guest room's pallet; Amanda sees notebook: False; Amanda's belief on notebook: None}\n- Step 2: (Amanda location unchanged; notebook location unchanged) {Amanda location: attic; notebook location: guest room's pallet; Amanda sees notebook: False; Amanda's belief on notebook: None}\n- Step 3: (Amanda location changed; notebook location unchanged) {Amanda location: guest room; notebook location: guest room's pallet; Amanda sees notebook: True; Amanda's belief on notebook: guest room's pallet}\n- Step 4: (Amanda location unchanged; notebook location changed) {Amanda location: guest room; notebook location: guest room's ledge; Amanda sees notebook: True; Amanda's belief on notebook: guest room's ledge}\n- Step 5: (Amanda location unchanged; notebook location unchanged) {Amanda location: guest room; notebook location: guest room's ledge; Amanda sees notebook: True; Amanda's belief on notebook: guest room's ledge}\n- Step 6: (Amanda location unchanged; notebook location unchanged) {Amanda location: guest room; notebook location: guest room's ledge; Amanda sees notebook: True; Amanda's belief on notebook: guest room's ledge}\n- Step 7: (Amanda location changed; notebook location unchanged) {Amanda location: attic; notebook location: guest room's ledge; Amanda sees notebook: False; Amanda's belief on notebook: guest room's ledge}\n- Step 8: (Amanda location unchanged; notebook location unchanged) {Amanda location: attic; notebook location: guest room's ledge; Amanda sees notebook: False; Amanda's belief on notebook: guest room's ledge}\n- Step 9: (Amanda location unchanged; notebook location unchanged) {Amanda location: attic; notebook location: guest room's ledge; Amanda sees notebook: False; Amanda's belief on notebook: guest room's ledge}\n- Step 10: (Amanda location unchanged; notebook location unchanged) {Amanda location: attic; notebook location: guest room's ledge; Amanda sees notebook: False; Amanda's belief on notebook: guest room's ledge}\nFinal Answer: the guest room's ledge","item":{"question":"Where does Amanda believe the notebook is?","story_components":"Agents: [Amanda, Kathryn].\nObjects: [the chewing gum, the notebook].\nRooms: [the guest room, the attic].\nContainers: [the guest room's ledge, the guest room's pallet, the attic's ledge, the attic's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_47","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kristin is in the nursery; Jonathan is in the nursery; the brush is on the nursery's windowsill; the rubber band is on the nursery's windowsill.\nStep 1: Kristin leaves the room he was in.\nStep 2: Jonathan leaves the room he was in.\nStep 3: Kristin enters the nursery.\nStep 4: Jonathan enters the sunroom.\nStep 5: Kristin moves to the sunroom, and moves the brush to the sunroom's windowsill.\nStep 6: Jonathan moves the brush to the sunroom's stool.\nStep 7: Kristin moves to the nursery.\nStep 8: Jonathan moves to the nursery, and moves the brush to the nursery's stool.\nStep 9: Kristin moves to the sunroom, and moves the rubber band to the sunroom's windowsill.\nStep 10: Jonathan moves to the sunroom, and moves the brush to the sunroom's windowsill.\n\n[QUESTION]\nWhere does Kristin believe the brush is?\n\n[YOUR ANSWER]","reference_output":"Kristin's belief on the brush:\n- Step 0: (initial state) {Kristin location: nursery; brush location: nursery's windowsill; Kristin sees brush: True; Kristin's belief on brush: nursery's windowsill}\n- Step 1: (Kristin location changed; brush location unchanged) {Kristin location: None; brush location: nursery's windowsill; Kristin sees brush: False; Kristin's belief on brush: nursery's windowsill}\n- Step 2: (Kristin location unchanged; brush location unchanged) {Kristin location: None; brush location: nursery's windowsill; Kristin sees brush: False; Kristin's belief on brush: nursery's windowsill}\n- Step 3: (Kristin location changed; brush location unchanged) {Kristin location: nursery; brush location: nursery's windowsill; Kristin sees brush: True; Kristin's belief on brush: nursery's windowsill}\n- Step 4: (Kristin location unchanged; brush location unchanged) {Kristin location: nursery; brush location: nursery's windowsill; Kristin sees brush: True; Kristin's belief on brush: nursery's windowsill}\n- Step 5: (Kristin location changed; brush location changed) {Kristin location: sunroom; brush location: sunroom's windowsill; Kristin sees brush: True; Kristin's belief on brush: sunroom's windowsill}\n- Step 6: (Kristin location unchanged; brush location changed) {Kristin location: sunroom; brush location: sunroom's stool; Kristin sees brush: True; Kristin's belief on brush: sunroom's stool}\n- Step 7: (Kristin location changed; brush location unchanged) {Kristin location: nursery; brush location: sunroom's stool; Kristin sees brush: False; Kristin's belief on brush: sunroom's stool}\n- Step 8: (Kristin location unchanged; brush location changed) {Kristin location: nursery; brush location: nursery's stool; Kristin sees brush: True; Kristin's belief on brush: nursery's stool}\n- Step 9: (Kristin location changed; brush location unchanged) {Kristin location: sunroom; brush location: nursery's stool; Kristin sees brush: False; Kristin's belief on brush: nursery's stool}\n- Step 10: (Kristin location unchanged; brush location changed) {Kristin location: sunroom; brush location: sunroom's windowsill; Kristin sees brush: True; Kristin's belief on brush: sunroom's windowsill}\nFinal Answer: the sunroom's windowsill","item":{"question":"Where does Kristin believe the brush is?","story_components":"Agents: [Kristin, Jonathan].\nObjects: [the brush, the rubber band].\nRooms: [the sunroom, the nursery].\nContainers: [the sunroom's stool, the sunroom's windowsill, the nursery's stool, the nursery's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_48","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Alyssa is in the library; Sabrina is in the living room; the headphones is on the living room's pedestal; the band-aid is on the living room's pedestal.\nStep 1: Alyssa moves to the living room.\nStep 2: Sabrina moves to the library.\nStep 3: Alyssa moves to the library.\nStep 4: Sabrina moves to the living room.\nStep 5: Alyssa moves to the living room.\nStep 6: Sabrina leaves the room he was in.\nStep 7: Alyssa moves to the library, and moves the band-aid to the library's side table.\nStep 8: Sabrina enters the living room.\nStep 9: Alyssa moves the band-aid to the library's pedestal.\nStep 10: Sabrina leaves the room he was in.\n\n[QUESTION]\nWhere does Alyssa believe the headphones is?\n\n[YOUR ANSWER]","reference_output":"Alyssa's belief on the headphones:\n- Step 0: (initial state) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: None}\n- Step 1: (Alyssa location changed; headphones location unchanged) {Alyssa location: living room; headphones location: living room's pedestal; Alyssa sees headphones: True; Alyssa's belief on headphones: living room's pedestal}\n- Step 2: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: living room; headphones location: living room's pedestal; Alyssa sees headphones: True; Alyssa's belief on headphones: living room's pedestal}\n- Step 3: (Alyssa location changed; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\n- Step 4: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\n- Step 5: (Alyssa location changed; headphones location unchanged) {Alyssa location: living room; headphones location: living room's pedestal; Alyssa sees headphones: True; Alyssa's belief on headphones: living room's pedestal}\n- Step 6: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: living room; headphones location: living room's pedestal; Alyssa sees headphones: True; Alyssa's belief on headphones: living room's pedestal}\n- Step 7: (Alyssa location changed; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\n- Step 8: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\n- Step 9: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\n- Step 10: (Alyssa location unchanged; headphones location unchanged) {Alyssa location: library; headphones location: living room's pedestal; Alyssa sees headphones: False; Alyssa's belief on headphones: living room's pedestal}\nFinal Answer: the living room's pedestal","item":{"question":"Where does Alyssa believe the headphones is?","story_components":"Agents: [Alyssa, Sabrina].\nObjects: [the headphones, the band-aid].\nRooms: [the library, the living room].\nContainers: [the library's pedestal, the library's side table, the living room's pedestal, the living room's side table]"}}
+{"instance_id":"tom_tracking_0.5k_49","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stephanie is in the office; Margaret is in the living room; the knife is on the living room's windowsill; the hand warmer is on the living room's windowsill.\nStep 1: Margaret moves the hand warmer to the living room's credenza.\nStep 2: Margaret moves to the office, and moves the knife to the office's credenza.\nStep 3: Stephanie moves the knife to the office's windowsill.\nStep 4: Margaret leaves the room he was in.\nStep 5: Stephanie moves the knife to the office's credenza.\nStep 6: Margaret enters the office.\nStep 7: Stephanie moves to the living room.\nStep 8: Margaret moves to the living room.\nStep 9: Stephanie moves to the office.\nStep 10: Margaret moves to the office, and moves the hand warmer to the office's windowsill.\n\n[QUESTION]\nWhere does Stephanie believe the hand warmer is?\n\n[YOUR ANSWER]","reference_output":"Stephanie's belief on the hand warmer:\n- Step 0: (initial state) {Stephanie location: office; hand warmer location: living room's windowsill; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 1: (Stephanie location unchanged; hand warmer location changed) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 2: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 3: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 4: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 5: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 6: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: None}\n- Step 7: (Stephanie location changed; hand warmer location unchanged) {Stephanie location: living room; hand warmer location: living room's credenza; Stephanie sees hand warmer: True; Stephanie's belief on hand warmer: living room's credenza}\n- Step 8: (Stephanie location unchanged; hand warmer location unchanged) {Stephanie location: living room; hand warmer location: living room's credenza; Stephanie sees hand warmer: True; Stephanie's belief on hand warmer: living room's credenza}\n- Step 9: (Stephanie location changed; hand warmer location unchanged) {Stephanie location: office; hand warmer location: living room's credenza; Stephanie sees hand warmer: False; Stephanie's belief on hand warmer: living room's credenza}\n- Step 10: (Stephanie location unchanged; hand warmer location changed) {Stephanie location: office; hand warmer location: office's windowsill; Stephanie sees hand warmer: True; Stephanie's belief on hand warmer: office's windowsill}\nFinal Answer: the office's windowsill","item":{"question":"Where does Stephanie believe the hand warmer is?","story_components":"Agents: [Stephanie, Margaret].\nObjects: [the knife, the hand warmer].\nRooms: [the office, the living room].\nContainers: [the office's credenza, the office's windowsill, the living room's credenza, the living room's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_50","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Justin is in the game room; Catherine is in the laundry room; the USB cable is on the game room's ledge; the key is on the laundry room's ledge.\nStep 1: Justin moves the USB cable to the game room's side table.\nStep 2: Catherine moves the key to the laundry room's side table.\nStep 3: Justin moves to the laundry room, and moves the USB cable to the laundry room's side table.\nStep 4: Catherine leaves the room he was in.\nStep 5: Justin leaves the room he was in.\nStep 6: Catherine enters the laundry room.\nStep 7: Justin enters the game room.\nStep 8: Catherine moves the key to the laundry room's ledge.\nStep 9: Justin moves to the laundry room.\nStep 10: Catherine moves the key to the laundry room's side table.\n\n[QUESTION]\nWhere does Catherine believe the USB cable is?\n\n[YOUR ANSWER]","reference_output":"Catherine's belief on the USB cable:\n- Step 0: (initial state) {Catherine location: laundry room; USB cable location: game room's ledge; Catherine sees USB cable: False; Catherine's belief on USB cable: None}\n- Step 1: (Catherine location unchanged; USB cable location changed) {Catherine location: laundry room; USB cable location: game room's side table; Catherine sees USB cable: False; Catherine's belief on USB cable: None}\n- Step 2: (Catherine location unchanged; USB cable location unchanged) {Catherine location: laundry room; USB cable location: game room's side table; Catherine sees USB cable: False; Catherine's belief on USB cable: None}\n- Step 3: (Catherine location unchanged; USB cable location changed) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\n- Step 4: (Catherine location changed; USB cable location unchanged) {Catherine location: None; USB cable location: laundry room's side table; Catherine sees USB cable: False; Catherine's belief on USB cable: laundry room's side table}\n- Step 5: (Catherine location unchanged; USB cable location unchanged) {Catherine location: None; USB cable location: laundry room's side table; Catherine sees USB cable: False; Catherine's belief on USB cable: laundry room's side table}\n- Step 6: (Catherine location changed; USB cable location unchanged) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\n- Step 7: (Catherine location unchanged; USB cable location unchanged) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\n- Step 8: (Catherine location unchanged; USB cable location unchanged) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\n- Step 9: (Catherine location unchanged; USB cable location unchanged) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\n- Step 10: (Catherine location unchanged; USB cable location unchanged) {Catherine location: laundry room; USB cable location: laundry room's side table; Catherine sees USB cable: True; Catherine's belief on USB cable: laundry room's side table}\nFinal Answer: the laundry room's side table","item":{"question":"Where does Catherine believe the USB cable is?","story_components":"Agents: [Justin, Catherine].\nObjects: [the USB cable, the key].\nRooms: [the game room, the laundry room].\nContainers: [the game room's ledge, the game room's side table, the laundry room's ledge, the laundry room's side table]"}}
+{"instance_id":"tom_tracking_0.5k_51","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Reginald is in the bathroom; Makayla is in the bathroom; the tweezers is on the bathroom's rack; the eyedrop bottle is on the bathroom's mantel.\nStep 1: Reginald moves the tweezers to the bathroom's mantel.\nStep 2: Makayla moves the eyedrop bottle to the bathroom's rack.\nStep 3: Reginald moves to the office, and moves the eyedrop bottle to the office's mantel.\nStep 4: Makayla moves to the office.\nStep 5: Reginald moves to the bathroom.\nStep 6: Makayla moves to the bathroom.\nStep 7: Reginald moves to the office, and moves the tweezers to the office's mantel.\nStep 8: Makayla moves to the office.\nStep 9: Reginald moves to the bathroom.\nStep 10: Makayla leaves the room he was in.\n\n[QUESTION]\nWhere does Reginald believe the eyedrop bottle is?\n\n[YOUR ANSWER]","reference_output":"Reginald's belief on the eyedrop bottle:\n- Step 0: (initial state) {Reginald location: bathroom; eyedrop bottle location: bathroom's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: bathroom's mantel}\n- Step 1: (Reginald location unchanged; eyedrop bottle location unchanged) {Reginald location: bathroom; eyedrop bottle location: bathroom's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: bathroom's mantel}\n- Step 2: (Reginald location unchanged; eyedrop bottle location changed) {Reginald location: bathroom; eyedrop bottle location: bathroom's rack; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: bathroom's rack}\n- Step 3: (Reginald location changed; eyedrop bottle location changed) {Reginald location: office; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 4: (Reginald location unchanged; eyedrop bottle location unchanged) {Reginald location: office; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 5: (Reginald location changed; eyedrop bottle location unchanged) {Reginald location: bathroom; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: False; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 6: (Reginald location unchanged; eyedrop bottle location unchanged) {Reginald location: bathroom; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: False; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 7: (Reginald location changed; eyedrop bottle location unchanged) {Reginald location: office; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 8: (Reginald location unchanged; eyedrop bottle location unchanged) {Reginald location: office; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: True; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 9: (Reginald location changed; eyedrop bottle location unchanged) {Reginald location: bathroom; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: False; Reginald's belief on eyedrop bottle: office's mantel}\n- Step 10: (Reginald location unchanged; eyedrop bottle location unchanged) {Reginald location: bathroom; eyedrop bottle location: office's mantel; Reginald sees eyedrop bottle: False; Reginald's belief on eyedrop bottle: office's mantel}\nFinal Answer: the office's mantel","item":{"question":"Where does Reginald believe the eyedrop bottle is?","story_components":"Agents: [Reginald, Makayla].\nObjects: [the tweezers, the eyedrop bottle].\nRooms: [the office, the bathroom].\nContainers: [the office's rack, the office's mantel, the bathroom's rack, the bathroom's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_52","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Sean is in the hallway; Stacey is in the hallway; the feather is on the hallway's stand; the ticket is on the storage room's console table.\nStep 1: Sean moves the feather to the hallway's console table.\nStep 2: Stacey leaves the room he was in.\nStep 3: Sean moves to the storage room.\nStep 4: Stacey enters the hallway.\nStep 5: Sean moves to the hallway, and moves the ticket to the hallway's console table.\nStep 6: Stacey moves the ticket to the hallway's stand.\nStep 7: Sean moves the feather to the hallway's stand.\nStep 8: Stacey moves to the storage room, and moves the ticket to the storage room's stand.\nStep 9: Sean moves to the storage room, and moves the feather to the storage room's console table.\nStep 10: Stacey leaves the room he was in.\n\n[QUESTION]\nWhere does Stacey believe the ticket is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the ticket:\n- Step 0: (initial state) {Stacey location: hallway; ticket location: storage room's console table; Stacey sees ticket: False; Stacey's belief on ticket: None}\n- Step 1: (Stacey location unchanged; ticket location unchanged) {Stacey location: hallway; ticket location: storage room's console table; Stacey sees ticket: False; Stacey's belief on ticket: None}\n- Step 2: (Stacey location changed; ticket location unchanged) {Stacey location: None; ticket location: storage room's console table; Stacey sees ticket: False; Stacey's belief on ticket: None}\n- Step 3: (Stacey location unchanged; ticket location unchanged) {Stacey location: None; ticket location: storage room's console table; Stacey sees ticket: False; Stacey's belief on ticket: None}\n- Step 4: (Stacey location changed; ticket location unchanged) {Stacey location: hallway; ticket location: storage room's console table; Stacey sees ticket: False; Stacey's belief on ticket: None}\n- Step 5: (Stacey location unchanged; ticket location changed) {Stacey location: hallway; ticket location: hallway's console table; Stacey sees ticket: True; Stacey's belief on ticket: hallway's console table}\n- Step 6: (Stacey location unchanged; ticket location changed) {Stacey location: hallway; ticket location: hallway's stand; Stacey sees ticket: True; Stacey's belief on ticket: hallway's stand}\n- Step 7: (Stacey location unchanged; ticket location unchanged) {Stacey location: hallway; ticket location: hallway's stand; Stacey sees ticket: True; Stacey's belief on ticket: hallway's stand}\n- Step 8: (Stacey location changed; ticket location changed) {Stacey location: storage room; ticket location: storage room's stand; Stacey sees ticket: True; Stacey's belief on ticket: storage room's stand}\n- Step 9: (Stacey location unchanged; ticket location unchanged) {Stacey location: storage room; ticket location: storage room's stand; Stacey sees ticket: True; Stacey's belief on ticket: storage room's stand}\n- Step 10: (Stacey location changed; ticket location unchanged) {Stacey location: None; ticket location: storage room's stand; Stacey sees ticket: False; Stacey's belief on ticket: storage room's stand}\nFinal Answer: the storage room's stand","item":{"question":"Where does Stacey believe the ticket is?","story_components":"Agents: [Sean, Stacey].\nObjects: [the feather, the ticket].\nRooms: [the storage room, the hallway].\nContainers: [the storage room's console table, the storage room's stand, the hallway's console table, the hallway's stand]"}}
+{"instance_id":"tom_tracking_0.5k_53","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the sauna; Travis is in the sauna; the toy car is on the sauna's table; the puzzle piece is on the sauna's desk.\nStep 1: Kayla leaves the room he was in.\nStep 2: Travis leaves the room he was in.\nStep 3: Kayla enters the attic.\nStep 4: Travis enters the attic.\nStep 5: Kayla moves to the sauna.\nStep 6: Kayla moves to the attic.\nStep 7: Kayla moves to the sauna.\nStep 8: Travis moves to the sauna.\nStep 9: Kayla moves the puzzle piece to the sauna's table.\nStep 10: Travis moves to the attic.\n\n[QUESTION]\nWhere does Travis believe the toy car is?\n\n[YOUR ANSWER]","reference_output":"Travis's belief on the toy car:\n- Step 0: (initial state) {Travis location: sauna; toy car location: sauna's table; Travis sees toy car: True; Travis's belief on toy car: sauna's table}\n- Step 1: (Travis location unchanged; toy car location unchanged) {Travis location: sauna; toy car location: sauna's table; Travis sees toy car: True; Travis's belief on toy car: sauna's table}\n- Step 2: (Travis location changed; toy car location unchanged) {Travis location: None; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 3: (Travis location unchanged; toy car location unchanged) {Travis location: None; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 4: (Travis location changed; toy car location unchanged) {Travis location: attic; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 5: (Travis location unchanged; toy car location unchanged) {Travis location: attic; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 6: (Travis location unchanged; toy car location unchanged) {Travis location: attic; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 7: (Travis location unchanged; toy car location unchanged) {Travis location: attic; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\n- Step 8: (Travis location changed; toy car location unchanged) {Travis location: sauna; toy car location: sauna's table; Travis sees toy car: True; Travis's belief on toy car: sauna's table}\n- Step 9: (Travis location unchanged; toy car location unchanged) {Travis location: sauna; toy car location: sauna's table; Travis sees toy car: True; Travis's belief on toy car: sauna's table}\n- Step 10: (Travis location changed; toy car location unchanged) {Travis location: attic; toy car location: sauna's table; Travis sees toy car: False; Travis's belief on toy car: sauna's table}\nFinal Answer: the sauna's table","item":{"question":"Where does Travis believe the toy car is?","story_components":"Agents: [Kayla, Travis].\nObjects: [the toy car, the puzzle piece].\nRooms: [the attic, the sauna].\nContainers: [the attic's table, the attic's desk, the sauna's table, the sauna's desk]"}}
+{"instance_id":"tom_tracking_0.5k_54","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mark is in the foyer; Wanda is in the foyer; the chewing gum is on the foyer's stand; the light bulb is on the nursery's stand.\nStep 1: Mark moves to the nursery.\nStep 2: Wanda leaves the room he was in.\nStep 3: Mark moves the light bulb to the nursery's console table.\nStep 4: Wanda enters the foyer.\nStep 5: Mark leaves the room he was in.\nStep 6: Wanda moves to the nursery.\nStep 7: Mark enters the foyer.\nStep 8: Wanda moves to the foyer, and moves the light bulb to the foyer's stand.\nStep 9: Mark leaves the room he was in.\nStep 10: Wanda moves the chewing gum to the foyer's console table.\n\n[QUESTION]\nWhere does Wanda believe the chewing gum is?\n\n[YOUR ANSWER]","reference_output":"Wanda's belief on the chewing gum:\n- Step 0: (initial state) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 1: (Wanda location unchanged; chewing gum location unchanged) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 2: (Wanda location changed; chewing gum location unchanged) {Wanda location: None; chewing gum location: foyer's stand; Wanda sees chewing gum: False; Wanda's belief on chewing gum: foyer's stand}\n- Step 3: (Wanda location unchanged; chewing gum location unchanged) {Wanda location: None; chewing gum location: foyer's stand; Wanda sees chewing gum: False; Wanda's belief on chewing gum: foyer's stand}\n- Step 4: (Wanda location changed; chewing gum location unchanged) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 5: (Wanda location unchanged; chewing gum location unchanged) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 6: (Wanda location changed; chewing gum location unchanged) {Wanda location: nursery; chewing gum location: foyer's stand; Wanda sees chewing gum: False; Wanda's belief on chewing gum: foyer's stand}\n- Step 7: (Wanda location unchanged; chewing gum location unchanged) {Wanda location: nursery; chewing gum location: foyer's stand; Wanda sees chewing gum: False; Wanda's belief on chewing gum: foyer's stand}\n- Step 8: (Wanda location changed; chewing gum location unchanged) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 9: (Wanda location unchanged; chewing gum location unchanged) {Wanda location: foyer; chewing gum location: foyer's stand; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's stand}\n- Step 10: (Wanda location unchanged; chewing gum location changed) {Wanda location: foyer; chewing gum location: foyer's console table; Wanda sees chewing gum: True; Wanda's belief on chewing gum: foyer's console table}\nFinal Answer: the foyer's console table","item":{"question":"Where does Wanda believe the chewing gum is?","story_components":"Agents: [Mark, Wanda].\nObjects: [the chewing gum, the light bulb].\nRooms: [the nursery, the foyer].\nContainers: [the nursery's console table, the nursery's stand, the foyer's console table, the foyer's stand]"}}
+{"instance_id":"tom_tracking_0.5k_55","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Erin is in the living room; Dylan is in the pantry; the key is on the pantry's nightstand; the paperclip is on the pantry's nightstand.\nStep 1: Erin moves to the pantry.\nStep 2: Dylan leaves the room he was in.\nStep 3: Erin moves to the living room, and moves the key to the living room's nightstand.\nStep 4: Dylan enters the living room.\nStep 5: Erin moves to the pantry, and moves the key to the pantry's nightstand.\nStep 6: Erin moves the paperclip to the pantry's credenza.\nStep 7: Erin moves the paperclip to the pantry's nightstand.\nStep 8: Erin leaves the room he was in.\nStep 9: Erin enters the living room.\nStep 10: Dylan moves to the pantry.\n\n[QUESTION]\nWhere does Dylan believe the key is?\n\n[YOUR ANSWER]","reference_output":"Dylan's belief on the key:\n- Step 0: (initial state) {Dylan location: pantry; key location: pantry's nightstand; Dylan sees key: True; Dylan's belief on key: pantry's nightstand}\n- Step 1: (Dylan location unchanged; key location unchanged) {Dylan location: pantry; key location: pantry's nightstand; Dylan sees key: True; Dylan's belief on key: pantry's nightstand}\n- Step 2: (Dylan location changed; key location unchanged) {Dylan location: None; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: pantry's nightstand}\n- Step 3: (Dylan location unchanged; key location changed) {Dylan location: None; key location: living room's nightstand; Dylan sees key: False; Dylan's belief on key: pantry's nightstand}\n- Step 4: (Dylan location changed; key location unchanged) {Dylan location: living room; key location: living room's nightstand; Dylan sees key: True; Dylan's belief on key: living room's nightstand}\n- Step 5: (Dylan location unchanged; key location changed) {Dylan location: living room; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: living room's nightstand}\n- Step 6: (Dylan location unchanged; key location unchanged) {Dylan location: living room; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: living room's nightstand}\n- Step 7: (Dylan location unchanged; key location unchanged) {Dylan location: living room; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: living room's nightstand}\n- Step 8: (Dylan location unchanged; key location unchanged) {Dylan location: living room; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: living room's nightstand}\n- Step 9: (Dylan location unchanged; key location unchanged) {Dylan location: living room; key location: pantry's nightstand; Dylan sees key: False; Dylan's belief on key: living room's nightstand}\n- Step 10: (Dylan location changed; key location unchanged) {Dylan location: pantry; key location: pantry's nightstand; Dylan sees key: True; Dylan's belief on key: pantry's nightstand}\nFinal Answer: the pantry's nightstand","item":{"question":"Where does Dylan believe the key is?","story_components":"Agents: [Erin, Dylan].\nObjects: [the key, the paperclip].\nRooms: [the living room, the pantry].\nContainers: [the living room's nightstand, the living room's credenza, the pantry's nightstand, the pantry's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_56","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Todd is in the playroom; Gwendolyn is in the playroom; the eraser is on the living room's bistro table; the face mask is on the playroom's bench.\nStep 1: Todd moves to the living room.\nStep 2: Gwendolyn leaves the room he was in.\nStep 3: Todd moves the eraser to the living room's bench.\nStep 4: Gwendolyn enters the playroom.\nStep 5: Todd leaves the room he was in.\nStep 6: Gwendolyn moves to the living room.\nStep 7: Todd enters the playroom.\nStep 8: Gwendolyn moves to the playroom.\nStep 9: Todd leaves the room he was in.\nStep 10: Gwendolyn moves to the living room.\n\n[QUESTION]\nWhere does Todd believe the face mask is?\n\n[YOUR ANSWER]","reference_output":"Todd's belief on the face mask:\n- Step 0: (initial state) {Todd location: playroom; face mask location: playroom's bench; Todd sees face mask: True; Todd's belief on face mask: playroom's bench}\n- Step 1: (Todd location changed; face mask location unchanged) {Todd location: living room; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 2: (Todd location unchanged; face mask location unchanged) {Todd location: living room; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 3: (Todd location unchanged; face mask location unchanged) {Todd location: living room; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 4: (Todd location unchanged; face mask location unchanged) {Todd location: living room; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 5: (Todd location changed; face mask location unchanged) {Todd location: None; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 6: (Todd location unchanged; face mask location unchanged) {Todd location: None; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 7: (Todd location changed; face mask location unchanged) {Todd location: playroom; face mask location: playroom's bench; Todd sees face mask: True; Todd's belief on face mask: playroom's bench}\n- Step 8: (Todd location unchanged; face mask location unchanged) {Todd location: playroom; face mask location: playroom's bench; Todd sees face mask: True; Todd's belief on face mask: playroom's bench}\n- Step 9: (Todd location changed; face mask location unchanged) {Todd location: None; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\n- Step 10: (Todd location unchanged; face mask location unchanged) {Todd location: None; face mask location: playroom's bench; Todd sees face mask: False; Todd's belief on face mask: playroom's bench}\nFinal Answer: the playroom's bench","item":{"question":"Where does Todd believe the face mask is?","story_components":"Agents: [Todd, Gwendolyn].\nObjects: [the eraser, the face mask].\nRooms: [the living room, the playroom].\nContainers: [the living room's bistro table, the living room's bench, the playroom's bistro table, the playroom's bench]"}}
+{"instance_id":"tom_tracking_0.5k_57","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the closet; Robert is in the closet; the light bulb is on the attic's console table; the coin purse is on the closet's console table.\nStep 1: Eric moves to the attic, and moves the coin purse to the attic's console table.\nStep 2: Robert moves to the attic.\nStep 3: Eric leaves the room he was in.\nStep 4: Robert moves to the closet, and moves the light bulb to the closet's console table.\nStep 5: Eric enters the closet.\nStep 6: Robert moves to the attic.\nStep 7: Eric moves to the attic.\nStep 8: Robert moves to the closet, and moves the coin purse to the closet's mantel.\nStep 9: Robert moves to the attic.\nStep 10: Robert moves to the closet.\n\n[QUESTION]\nWhere does Eric believe the coin purse is?\n\n[YOUR ANSWER]","reference_output":"Eric's belief on the coin purse:\n- Step 0: (initial state) {Eric location: closet; coin purse location: closet's console table; Eric sees coin purse: True; Eric's belief on coin purse: closet's console table}\n- Step 1: (Eric location changed; coin purse location changed) {Eric location: attic; coin purse location: attic's console table; Eric sees coin purse: True; Eric's belief on coin purse: attic's console table}\n- Step 2: (Eric location unchanged; coin purse location unchanged) {Eric location: attic; coin purse location: attic's console table; Eric sees coin purse: True; Eric's belief on coin purse: attic's console table}\n- Step 3: (Eric location changed; coin purse location unchanged) {Eric location: None; coin purse location: attic's console table; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 4: (Eric location unchanged; coin purse location unchanged) {Eric location: None; coin purse location: attic's console table; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 5: (Eric location changed; coin purse location unchanged) {Eric location: closet; coin purse location: attic's console table; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 6: (Eric location unchanged; coin purse location unchanged) {Eric location: closet; coin purse location: attic's console table; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 7: (Eric location changed; coin purse location unchanged) {Eric location: attic; coin purse location: attic's console table; Eric sees coin purse: True; Eric's belief on coin purse: attic's console table}\n- Step 8: (Eric location unchanged; coin purse location changed) {Eric location: attic; coin purse location: closet's mantel; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 9: (Eric location unchanged; coin purse location unchanged) {Eric location: attic; coin purse location: closet's mantel; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\n- Step 10: (Eric location unchanged; coin purse location unchanged) {Eric location: attic; coin purse location: closet's mantel; Eric sees coin purse: False; Eric's belief on coin purse: attic's console table}\nFinal Answer: the attic's console table","item":{"question":"Where does Eric believe the coin purse is?","story_components":"Agents: [Eric, Robert].\nObjects: [the light bulb, the coin purse].\nRooms: [the closet, the attic].\nContainers: [the closet's console table, the closet's mantel, the attic's console table, the attic's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_58","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stacey is in the bathroom; April is in the gym; the USB cable is on the bathroom's bistro table; the hair tie is on the gym's bistro table.\nStep 1: Stacey leaves the room he was in.\nStep 2: April moves to the bathroom.\nStep 3: Stacey enters the gym.\nStep 4: April moves the USB cable to the bathroom's desk.\nStep 5: Stacey moves to the bathroom, and moves the hair tie to the bathroom's desk.\nStep 6: April leaves the room he was in.\nStep 7: Stacey moves to the gym.\nStep 8: April enters the gym.\nStep 9: Stacey moves to the bathroom.\nStep 10: April moves to the bathroom.\n\n[QUESTION]\nWhere does Stacey believe the USB cable is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the USB cable:\n- Step 0: (initial state) {Stacey location: bathroom; USB cable location: bathroom's bistro table; Stacey sees USB cable: True; Stacey's belief on USB cable: bathroom's bistro table}\n- Step 1: (Stacey location changed; USB cable location unchanged) {Stacey location: None; USB cable location: bathroom's bistro table; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's bistro table}\n- Step 2: (Stacey location unchanged; USB cable location unchanged) {Stacey location: None; USB cable location: bathroom's bistro table; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's bistro table}\n- Step 3: (Stacey location changed; USB cable location unchanged) {Stacey location: gym; USB cable location: bathroom's bistro table; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's bistro table}\n- Step 4: (Stacey location unchanged; USB cable location changed) {Stacey location: gym; USB cable location: bathroom's desk; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's bistro table}\n- Step 5: (Stacey location changed; USB cable location unchanged) {Stacey location: bathroom; USB cable location: bathroom's desk; Stacey sees USB cable: True; Stacey's belief on USB cable: bathroom's desk}\n- Step 6: (Stacey location unchanged; USB cable location unchanged) {Stacey location: bathroom; USB cable location: bathroom's desk; Stacey sees USB cable: True; Stacey's belief on USB cable: bathroom's desk}\n- Step 7: (Stacey location changed; USB cable location unchanged) {Stacey location: gym; USB cable location: bathroom's desk; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's desk}\n- Step 8: (Stacey location unchanged; USB cable location unchanged) {Stacey location: gym; USB cable location: bathroom's desk; Stacey sees USB cable: False; Stacey's belief on USB cable: bathroom's desk}\n- Step 9: (Stacey location changed; USB cable location unchanged) {Stacey location: bathroom; USB cable location: bathroom's desk; Stacey sees USB cable: True; Stacey's belief on USB cable: bathroom's desk}\n- Step 10: (Stacey location unchanged; USB cable location unchanged) {Stacey location: bathroom; USB cable location: bathroom's desk; Stacey sees USB cable: True; Stacey's belief on USB cable: bathroom's desk}\nFinal Answer: the bathroom's desk","item":{"question":"Where does Stacey believe the USB cable is?","story_components":"Agents: [Stacey, April].\nObjects: [the USB cable, the hair tie].\nRooms: [the bathroom, the gym].\nContainers: [the bathroom's bistro table, the bathroom's desk, the gym's bistro table, the gym's desk]"}}
+{"instance_id":"tom_tracking_0.5k_59","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nicholas is in the hallway; Debbie is in the laundry room; the USB drive is on the laundry room's workbench; the mini stapler is on the laundry room's bar.\nStep 1: Debbie moves the USB drive to the laundry room's bar.\nStep 2: Debbie moves to the hallway, and moves the mini stapler to the hallway's workbench.\nStep 3: Nicholas moves to the laundry room, and moves the mini stapler to the laundry room's workbench.\nStep 4: Nicholas leaves the room he was in.\nStep 5: Nicholas enters the hallway.\nStep 6: Debbie moves to the laundry room.\nStep 7: Debbie moves the USB drive to the laundry room's workbench.\nStep 8: Debbie moves the USB drive to the laundry room's bar.\nStep 9: Nicholas moves to the laundry room.\nStep 10: Debbie leaves the room he was in.\n\n[QUESTION]\nWhere does Nicholas believe the mini stapler is?\n\n[YOUR ANSWER]","reference_output":"Nicholas's belief on the mini stapler:\n- Step 0: (initial state) {Nicholas location: hallway; mini stapler location: laundry room's bar; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: None}\n- Step 1: (Nicholas location unchanged; mini stapler location unchanged) {Nicholas location: hallway; mini stapler location: laundry room's bar; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: None}\n- Step 2: (Nicholas location unchanged; mini stapler location changed) {Nicholas location: hallway; mini stapler location: hallway's workbench; Nicholas sees mini stapler: True; Nicholas's belief on mini stapler: hallway's workbench}\n- Step 3: (Nicholas location changed; mini stapler location changed) {Nicholas location: laundry room; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: True; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 4: (Nicholas location changed; mini stapler location unchanged) {Nicholas location: None; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 5: (Nicholas location changed; mini stapler location unchanged) {Nicholas location: hallway; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 6: (Nicholas location unchanged; mini stapler location unchanged) {Nicholas location: hallway; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 7: (Nicholas location unchanged; mini stapler location unchanged) {Nicholas location: hallway; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 8: (Nicholas location unchanged; mini stapler location unchanged) {Nicholas location: hallway; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: False; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 9: (Nicholas location changed; mini stapler location unchanged) {Nicholas location: laundry room; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: True; Nicholas's belief on mini stapler: laundry room's workbench}\n- Step 10: (Nicholas location unchanged; mini stapler location unchanged) {Nicholas location: laundry room; mini stapler location: laundry room's workbench; Nicholas sees mini stapler: True; Nicholas's belief on mini stapler: laundry room's workbench}\nFinal Answer: the laundry room's workbench","item":{"question":"Where does Nicholas believe the mini stapler is?","story_components":"Agents: [Nicholas, Debbie].\nObjects: [the USB drive, the mini stapler].\nRooms: [the laundry room, the hallway].\nContainers: [the laundry room's bar, the laundry room's workbench, the hallway's bar, the hallway's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_60","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jose is in the laundry room; Dustin is in the laundry room; the memory card is on the study's console table; the magnet is on the laundry room's table.\nStep 1: Jose moves to the study.\nStep 2: Dustin moves to the study.\nStep 3: Jose leaves the room he was in.\nStep 4: Dustin moves to the laundry room, and moves the memory card to the laundry room's table.\nStep 5: Jose enters the laundry room.\nStep 6: Dustin leaves the room he was in.\nStep 7: Jose moves to the study.\nStep 8: Dustin enters the laundry room.\nStep 9: Dustin moves to the study.\nStep 10: Dustin moves to the laundry room.\n\n[QUESTION]\nWhere does Jose believe the memory card is?\n\n[YOUR ANSWER]","reference_output":"Jose's belief on the memory card:\n- Step 0: (initial state) {Jose location: laundry room; memory card location: study's console table; Jose sees memory card: False; Jose's belief on memory card: None}\n- Step 1: (Jose location changed; memory card location unchanged) {Jose location: study; memory card location: study's console table; Jose sees memory card: True; Jose's belief on memory card: study's console table}\n- Step 2: (Jose location unchanged; memory card location unchanged) {Jose location: study; memory card location: study's console table; Jose sees memory card: True; Jose's belief on memory card: study's console table}\n- Step 3: (Jose location changed; memory card location unchanged) {Jose location: None; memory card location: study's console table; Jose sees memory card: False; Jose's belief on memory card: study's console table}\n- Step 4: (Jose location unchanged; memory card location changed) {Jose location: None; memory card location: laundry room's table; Jose sees memory card: False; Jose's belief on memory card: study's console table}\n- Step 5: (Jose location changed; memory card location unchanged) {Jose location: laundry room; memory card location: laundry room's table; Jose sees memory card: True; Jose's belief on memory card: laundry room's table}\n- Step 6: (Jose location unchanged; memory card location unchanged) {Jose location: laundry room; memory card location: laundry room's table; Jose sees memory card: True; Jose's belief on memory card: laundry room's table}\n- Step 7: (Jose location changed; memory card location unchanged) {Jose location: study; memory card location: laundry room's table; Jose sees memory card: False; Jose's belief on memory card: laundry room's table}\n- Step 8: (Jose location unchanged; memory card location unchanged) {Jose location: study; memory card location: laundry room's table; Jose sees memory card: False; Jose's belief on memory card: laundry room's table}\n- Step 9: (Jose location unchanged; memory card location unchanged) {Jose location: study; memory card location: laundry room's table; Jose sees memory card: False; Jose's belief on memory card: laundry room's table}\n- Step 10: (Jose location unchanged; memory card location unchanged) {Jose location: study; memory card location: laundry room's table; Jose sees memory card: False; Jose's belief on memory card: laundry room's table}\nFinal Answer: the laundry room's table","item":{"question":"Where does Jose believe the memory card is?","story_components":"Agents: [Jose, Dustin].\nObjects: [the memory card, the magnet].\nRooms: [the laundry room, the study].\nContainers: [the laundry room's console table, the laundry room's table, the study's console table, the study's table]"}}
+{"instance_id":"tom_tracking_0.5k_61","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jose is in the balcony; Gregory is in the balcony; the mini stapler is on the balcony's stand; the watch is on the office's stand.\nStep 1: Jose moves the mini stapler to the balcony's shelf.\nStep 2: Gregory moves the mini stapler to the balcony's stand.\nStep 3: Jose moves to the office.\nStep 4: Gregory moves to the office, and moves the mini stapler to the office's shelf.\nStep 5: Jose moves the watch to the office's shelf.\nStep 6: Gregory moves the watch to the office's stand.\nStep 7: Jose moves to the balcony, and moves the watch to the balcony's stand.\nStep 8: Gregory moves the mini stapler to the office's stand.\nStep 9: Jose leaves the room he was in.\nStep 10: Gregory leaves the room he was in.\n\n[QUESTION]\nWhere does Jose believe the watch is?\n\n[YOUR ANSWER]","reference_output":"Jose's belief on the watch:\n- Step 0: (initial state) {Jose location: balcony; watch location: office's stand; Jose sees watch: False; Jose's belief on watch: None}\n- Step 1: (Jose location unchanged; watch location unchanged) {Jose location: balcony; watch location: office's stand; Jose sees watch: False; Jose's belief on watch: None}\n- Step 2: (Jose location unchanged; watch location unchanged) {Jose location: balcony; watch location: office's stand; Jose sees watch: False; Jose's belief on watch: None}\n- Step 3: (Jose location changed; watch location unchanged) {Jose location: office; watch location: office's stand; Jose sees watch: True; Jose's belief on watch: office's stand}\n- Step 4: (Jose location unchanged; watch location unchanged) {Jose location: office; watch location: office's stand; Jose sees watch: True; Jose's belief on watch: office's stand}\n- Step 5: (Jose location unchanged; watch location changed) {Jose location: office; watch location: office's shelf; Jose sees watch: True; Jose's belief on watch: office's shelf}\n- Step 6: (Jose location unchanged; watch location changed) {Jose location: office; watch location: office's stand; Jose sees watch: True; Jose's belief on watch: office's stand}\n- Step 7: (Jose location changed; watch location changed) {Jose location: balcony; watch location: balcony's stand; Jose sees watch: True; Jose's belief on watch: balcony's stand}\n- Step 8: (Jose location unchanged; watch location unchanged) {Jose location: balcony; watch location: balcony's stand; Jose sees watch: True; Jose's belief on watch: balcony's stand}\n- Step 9: (Jose location changed; watch location unchanged) {Jose location: None; watch location: balcony's stand; Jose sees watch: False; Jose's belief on watch: balcony's stand}\n- Step 10: (Jose location unchanged; watch location unchanged) {Jose location: None; watch location: balcony's stand; Jose sees watch: False; Jose's belief on watch: balcony's stand}\nFinal Answer: the balcony's stand","item":{"question":"Where does Jose believe the watch is?","story_components":"Agents: [Jose, Gregory].\nObjects: [the mini stapler, the watch].\nRooms: [the balcony, the office].\nContainers: [the balcony's stand, the balcony's shelf, the office's stand, the office's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_62","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the bathroom; Ashlee is in the bathroom; the sewing needle is on the office's tv stand; the key is on the bathroom's tv stand.\nStep 1: Chris leaves the room he was in.\nStep 2: Ashlee moves to the office, and moves the key to the office's tv stand.\nStep 3: Chris enters the bathroom.\nStep 4: Ashlee moves the sewing needle to the office's pallet.\nStep 5: Ashlee moves to the bathroom.\nStep 6: Ashlee moves to the office.\nStep 7: Ashlee moves to the bathroom.\nStep 8: Ashlee moves to the office.\nStep 9: Ashlee moves the sewing needle to the office's tv stand.\nStep 10: Ashlee moves to the bathroom, and moves the key to the bathroom's tv stand.\n\n[QUESTION]\nWhere does Chris believe the sewing needle is?\n\n[YOUR ANSWER]","reference_output":"Chris's belief on the sewing needle:\n- Step 0: (initial state) {Chris location: bathroom; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 1: (Chris location changed; sewing needle location unchanged) {Chris location: None; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 2: (Chris location unchanged; sewing needle location unchanged) {Chris location: None; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 3: (Chris location changed; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 4: (Chris location unchanged; sewing needle location changed) {Chris location: bathroom; sewing needle location: office's pallet; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 5: (Chris location unchanged; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's pallet; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 6: (Chris location unchanged; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's pallet; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 7: (Chris location unchanged; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's pallet; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 8: (Chris location unchanged; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's pallet; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 9: (Chris location unchanged; sewing needle location changed) {Chris location: bathroom; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\n- Step 10: (Chris location unchanged; sewing needle location unchanged) {Chris location: bathroom; sewing needle location: office's tv stand; Chris sees sewing needle: False; Chris's belief on sewing needle: None}\nFinal Answer: None","item":{"question":"Where does Chris believe the sewing needle is?","story_components":"Agents: [Chris, Ashlee].\nObjects: [the sewing needle, the key].\nRooms: [the office, the bathroom].\nContainers: [the office's pallet, the office's tv stand, the bathroom's pallet, the bathroom's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_63","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Bobby is in the nursery; Todd is in the sunroom; the golf ball is on the nursery's bar; the remote is on the sunroom's pallet.\nStep 1: Bobby moves to the sunroom.\nStep 2: Todd moves to the nursery.\nStep 3: Bobby moves to the nursery.\nStep 4: Todd moves to the sunroom, and moves the golf ball to the sunroom's pallet.\nStep 5: Todd leaves the room he was in.\nStep 6: Todd enters the nursery.\nStep 7: Bobby moves to the sunroom.\nStep 8: Todd moves to the sunroom.\nStep 9: Bobby leaves the room he was in.\nStep 10: Todd moves the remote to the sunroom's bar.\n\n[QUESTION]\nWhere does Todd believe the golf ball is?\n\n[YOUR ANSWER]","reference_output":"Todd's belief on the golf ball:\n- Step 0: (initial state) {Todd location: sunroom; golf ball location: nursery's bar; Todd sees golf ball: False; Todd's belief on golf ball: None}\n- Step 1: (Todd location unchanged; golf ball location unchanged) {Todd location: sunroom; golf ball location: nursery's bar; Todd sees golf ball: False; Todd's belief on golf ball: None}\n- Step 2: (Todd location changed; golf ball location unchanged) {Todd location: nursery; golf ball location: nursery's bar; Todd sees golf ball: True; Todd's belief on golf ball: nursery's bar}\n- Step 3: (Todd location unchanged; golf ball location unchanged) {Todd location: nursery; golf ball location: nursery's bar; Todd sees golf ball: True; Todd's belief on golf ball: nursery's bar}\n- Step 4: (Todd location changed; golf ball location changed) {Todd location: sunroom; golf ball location: sunroom's pallet; Todd sees golf ball: True; Todd's belief on golf ball: sunroom's pallet}\n- Step 5: (Todd location changed; golf ball location unchanged) {Todd location: None; golf ball location: sunroom's pallet; Todd sees golf ball: False; Todd's belief on golf ball: sunroom's pallet}\n- Step 6: (Todd location changed; golf ball location unchanged) {Todd location: nursery; golf ball location: sunroom's pallet; Todd sees golf ball: False; Todd's belief on golf ball: sunroom's pallet}\n- Step 7: (Todd location unchanged; golf ball location unchanged) {Todd location: nursery; golf ball location: sunroom's pallet; Todd sees golf ball: False; Todd's belief on golf ball: sunroom's pallet}\n- Step 8: (Todd location changed; golf ball location unchanged) {Todd location: sunroom; golf ball location: sunroom's pallet; Todd sees golf ball: True; Todd's belief on golf ball: sunroom's pallet}\n- Step 9: (Todd location unchanged; golf ball location unchanged) {Todd location: sunroom; golf ball location: sunroom's pallet; Todd sees golf ball: True; Todd's belief on golf ball: sunroom's pallet}\n- Step 10: (Todd location unchanged; golf ball location unchanged) {Todd location: sunroom; golf ball location: sunroom's pallet; Todd sees golf ball: True; Todd's belief on golf ball: sunroom's pallet}\nFinal Answer: the sunroom's pallet","item":{"question":"Where does Todd believe the golf ball is?","story_components":"Agents: [Bobby, Todd].\nObjects: [the golf ball, the remote].\nRooms: [the nursery, the sunroom].\nContainers: [the nursery's bar, the nursery's pallet, the sunroom's bar, the sunroom's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_64","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Erin is in the living room; Margaret is in the dining room; the notebook is on the dining room's counter; the pebble is on the living room's counter.\nStep 1: Erin moves to the dining room, and moves the pebble to the dining room's counter.\nStep 2: Margaret moves to the living room, and moves the notebook to the living room's console table.\nStep 3: Erin moves to the living room, and moves the pebble to the living room's console table.\nStep 4: Margaret moves the notebook to the living room's counter.\nStep 5: Erin moves the pebble to the living room's counter.\nStep 6: Margaret moves the notebook to the living room's console table.\nStep 7: Erin leaves the room he was in.\nStep 8: Margaret moves to the dining room.\nStep 9: Erin enters the living room.\nStep 10: Margaret moves to the living room.\n\n[QUESTION]\nWhere does Erin believe the notebook is?\n\n[YOUR ANSWER]","reference_output":"Erin's belief on the notebook:\n- Step 0: (initial state) {Erin location: living room; notebook location: dining room's counter; Erin sees notebook: False; Erin's belief on notebook: None}\n- Step 1: (Erin location changed; notebook location unchanged) {Erin location: dining room; notebook location: dining room's counter; Erin sees notebook: True; Erin's belief on notebook: dining room's counter}\n- Step 2: (Erin location unchanged; notebook location changed) {Erin location: dining room; notebook location: living room's console table; Erin sees notebook: False; Erin's belief on notebook: dining room's counter}\n- Step 3: (Erin location changed; notebook location unchanged) {Erin location: living room; notebook location: living room's console table; Erin sees notebook: True; Erin's belief on notebook: living room's console table}\n- Step 4: (Erin location unchanged; notebook location changed) {Erin location: living room; notebook location: living room's counter; Erin sees notebook: True; Erin's belief on notebook: living room's counter}\n- Step 5: (Erin location unchanged; notebook location unchanged) {Erin location: living room; notebook location: living room's counter; Erin sees notebook: True; Erin's belief on notebook: living room's counter}\n- Step 6: (Erin location unchanged; notebook location changed) {Erin location: living room; notebook location: living room's console table; Erin sees notebook: True; Erin's belief on notebook: living room's console table}\n- Step 7: (Erin location changed; notebook location unchanged) {Erin location: None; notebook location: living room's console table; Erin sees notebook: False; Erin's belief on notebook: living room's console table}\n- Step 8: (Erin location unchanged; notebook location unchanged) {Erin location: None; notebook location: living room's console table; Erin sees notebook: False; Erin's belief on notebook: living room's console table}\n- Step 9: (Erin location changed; notebook location unchanged) {Erin location: living room; notebook location: living room's console table; Erin sees notebook: True; Erin's belief on notebook: living room's console table}\n- Step 10: (Erin location unchanged; notebook location unchanged) {Erin location: living room; notebook location: living room's console table; Erin sees notebook: True; Erin's belief on notebook: living room's console table}\nFinal Answer: the living room's console table","item":{"question":"Where does Erin believe the notebook is?","story_components":"Agents: [Erin, Margaret].\nObjects: [the notebook, the pebble].\nRooms: [the living room, the dining room].\nContainers: [the living room's console table, the living room's counter, the dining room's console table, the dining room's counter]"}}
+{"instance_id":"tom_tracking_0.5k_65","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Scott is in the hallway; Christopher is in the dining room; the stress ball is on the hallway's workbench; the mini comb is on the hallway's workbench.\nStep 1: Scott moves to the dining room.\nStep 2: Christopher moves to the hallway.\nStep 3: Christopher moves to the dining room.\nStep 4: Christopher moves to the hallway.\nStep 5: Christopher moves to the dining room.\nStep 6: Christopher moves to the hallway.\nStep 7: Christopher moves to the dining room, and moves the mini comb to the dining room's workbench.\nStep 8: Christopher leaves the room he was in.\nStep 9: Scott moves the mini comb to the dining room's side table.\nStep 10: Christopher enters the hallway.\n\n[QUESTION]\nWhere does Scott believe the stress ball is?\n\n[YOUR ANSWER]","reference_output":"Scott's belief on the stress ball:\n- Step 0: (initial state) {Scott location: hallway; stress ball location: hallway's workbench; Scott sees stress ball: True; Scott's belief on stress ball: hallway's workbench}\n- Step 1: (Scott location changed; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 2: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 3: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 4: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 5: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 6: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 7: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 8: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 9: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\n- Step 10: (Scott location unchanged; stress ball location unchanged) {Scott location: dining room; stress ball location: hallway's workbench; Scott sees stress ball: False; Scott's belief on stress ball: hallway's workbench}\nFinal Answer: the hallway's workbench","item":{"question":"Where does Scott believe the stress ball is?","story_components":"Agents: [Scott, Christopher].\nObjects: [the stress ball, the mini comb].\nRooms: [the hallway, the dining room].\nContainers: [the hallway's side table, the hallway's workbench, the dining room's side table, the dining room's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_66","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Clinton is in the game room; Tracy is in the game room; the post-it note is on the gym's windowsill; the matchstick is on the gym's nightstand.\nStep 1: Clinton moves to the gym.\nStep 2: Tracy moves to the gym.\nStep 3: Clinton moves the matchstick to the gym's windowsill.\nStep 4: Tracy moves to the game room.\nStep 5: Clinton moves the post-it note to the gym's nightstand.\nStep 6: Clinton moves the post-it note to the gym's windowsill.\nStep 7: Clinton moves to the game room.\nStep 8: Tracy moves to the gym.\nStep 9: Tracy moves to the game room.\nStep 10: Tracy moves to the gym.\n\n[QUESTION]\nWhere does Clinton believe the post-it note is?\n\n[YOUR ANSWER]","reference_output":"Clinton's belief on the post-it note:\n- Step 0: (initial state) {Clinton location: game room; post-it note location: gym's windowsill; Clinton sees post-it note: False; Clinton's belief on post-it note: None}\n- Step 1: (Clinton location changed; post-it note location unchanged) {Clinton location: gym; post-it note location: gym's windowsill; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's windowsill}\n- Step 2: (Clinton location unchanged; post-it note location unchanged) {Clinton location: gym; post-it note location: gym's windowsill; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's windowsill}\n- Step 3: (Clinton location unchanged; post-it note location unchanged) {Clinton location: gym; post-it note location: gym's windowsill; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's windowsill}\n- Step 4: (Clinton location unchanged; post-it note location unchanged) {Clinton location: gym; post-it note location: gym's windowsill; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's windowsill}\n- Step 5: (Clinton location unchanged; post-it note location changed) {Clinton location: gym; post-it note location: gym's nightstand; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's nightstand}\n- Step 6: (Clinton location unchanged; post-it note location changed) {Clinton location: gym; post-it note location: gym's windowsill; Clinton sees post-it note: True; Clinton's belief on post-it note: gym's windowsill}\n- Step 7: (Clinton location changed; post-it note location unchanged) {Clinton location: game room; post-it note location: gym's windowsill; Clinton sees post-it note: False; Clinton's belief on post-it note: gym's windowsill}\n- Step 8: (Clinton location unchanged; post-it note location unchanged) {Clinton location: game room; post-it note location: gym's windowsill; Clinton sees post-it note: False; Clinton's belief on post-it note: gym's windowsill}\n- Step 9: (Clinton location unchanged; post-it note location unchanged) {Clinton location: game room; post-it note location: gym's windowsill; Clinton sees post-it note: False; Clinton's belief on post-it note: gym's windowsill}\n- Step 10: (Clinton location unchanged; post-it note location unchanged) {Clinton location: game room; post-it note location: gym's windowsill; Clinton sees post-it note: False; Clinton's belief on post-it note: gym's windowsill}\nFinal Answer: the gym's windowsill","item":{"question":"Where does Clinton believe the post-it note is?","story_components":"Agents: [Clinton, Tracy].\nObjects: [the post-it note, the matchstick].\nRooms: [the gym, the game room].\nContainers: [the gym's nightstand, the gym's windowsill, the game room's nightstand, the game room's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_67","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Sean is in the game room; Holly is in the game room; the mini stapler is on the game room's rack; the bookmark is on the game room's rack.\nStep 1: Sean moves to the nursery.\nStep 2: Holly leaves the room he was in.\nStep 3: Sean moves to the game room.\nStep 4: Holly enters the nursery.\nStep 5: Sean leaves the room he was in.\nStep 6: Holly moves to the game room.\nStep 7: Sean enters the game room.\nStep 8: Holly leaves the room he was in.\nStep 9: Sean moves to the nursery.\nStep 10: Holly enters the nursery.\n\n[QUESTION]\nWhere does Holly believe the mini stapler is?\n\n[YOUR ANSWER]","reference_output":"Holly's belief on the mini stapler:\n- Step 0: (initial state) {Holly location: game room; mini stapler location: game room's rack; Holly sees mini stapler: True; Holly's belief on mini stapler: game room's rack}\n- Step 1: (Holly location unchanged; mini stapler location unchanged) {Holly location: game room; mini stapler location: game room's rack; Holly sees mini stapler: True; Holly's belief on mini stapler: game room's rack}\n- Step 2: (Holly location changed; mini stapler location unchanged) {Holly location: None; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 3: (Holly location unchanged; mini stapler location unchanged) {Holly location: None; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 4: (Holly location changed; mini stapler location unchanged) {Holly location: nursery; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 5: (Holly location unchanged; mini stapler location unchanged) {Holly location: nursery; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 6: (Holly location changed; mini stapler location unchanged) {Holly location: game room; mini stapler location: game room's rack; Holly sees mini stapler: True; Holly's belief on mini stapler: game room's rack}\n- Step 7: (Holly location unchanged; mini stapler location unchanged) {Holly location: game room; mini stapler location: game room's rack; Holly sees mini stapler: True; Holly's belief on mini stapler: game room's rack}\n- Step 8: (Holly location changed; mini stapler location unchanged) {Holly location: None; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 9: (Holly location unchanged; mini stapler location unchanged) {Holly location: None; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\n- Step 10: (Holly location changed; mini stapler location unchanged) {Holly location: nursery; mini stapler location: game room's rack; Holly sees mini stapler: False; Holly's belief on mini stapler: game room's rack}\nFinal Answer: the game room's rack","item":{"question":"Where does Holly believe the mini stapler is?","story_components":"Agents: [Sean, Holly].\nObjects: [the mini stapler, the bookmark].\nRooms: [the nursery, the game room].\nContainers: [the nursery's rack, the nursery's shelf, the game room's rack, the game room's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_68","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kathryn is in the mudroom; Todd is in the mudroom; the ring is on the gym's counter; the lip balm is on the mudroom's ledge.\nStep 1: Kathryn moves to the gym.\nStep 2: Todd leaves the room he was in.\nStep 3: Kathryn moves to the mudroom.\nStep 4: Todd enters the gym.\nStep 5: Kathryn moves to the gym, and moves the lip balm to the gym's ledge.\nStep 6: Todd moves the ring to the gym's ledge.\nStep 7: Kathryn moves to the mudroom.\nStep 8: Todd moves to the mudroom, and moves the lip balm to the mudroom's ledge.\nStep 9: Kathryn moves to the gym, and moves the lip balm to the gym's ledge.\nStep 10: Todd moves to the gym.\n\n[QUESTION]\nWhere does Kathryn believe the lip balm is?\n\n[YOUR ANSWER]","reference_output":"Kathryn's belief on the lip balm:\n- Step 0: (initial state) {Kathryn location: mudroom; lip balm location: mudroom's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 1: (Kathryn location changed; lip balm location unchanged) {Kathryn location: gym; lip balm location: mudroom's ledge; Kathryn sees lip balm: False; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 2: (Kathryn location unchanged; lip balm location unchanged) {Kathryn location: gym; lip balm location: mudroom's ledge; Kathryn sees lip balm: False; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 3: (Kathryn location changed; lip balm location unchanged) {Kathryn location: mudroom; lip balm location: mudroom's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 4: (Kathryn location unchanged; lip balm location unchanged) {Kathryn location: mudroom; lip balm location: mudroom's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 5: (Kathryn location changed; lip balm location changed) {Kathryn location: gym; lip balm location: gym's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: gym's ledge}\n- Step 6: (Kathryn location unchanged; lip balm location unchanged) {Kathryn location: gym; lip balm location: gym's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: gym's ledge}\n- Step 7: (Kathryn location changed; lip balm location unchanged) {Kathryn location: mudroom; lip balm location: gym's ledge; Kathryn sees lip balm: False; Kathryn's belief on lip balm: gym's ledge}\n- Step 8: (Kathryn location unchanged; lip balm location changed) {Kathryn location: mudroom; lip balm location: mudroom's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: mudroom's ledge}\n- Step 9: (Kathryn location changed; lip balm location changed) {Kathryn location: gym; lip balm location: gym's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: gym's ledge}\n- Step 10: (Kathryn location unchanged; lip balm location unchanged) {Kathryn location: gym; lip balm location: gym's ledge; Kathryn sees lip balm: True; Kathryn's belief on lip balm: gym's ledge}\nFinal Answer: the gym's ledge","item":{"question":"Where does Kathryn believe the lip balm is?","story_components":"Agents: [Kathryn, Todd].\nObjects: [the ring, the lip balm].\nRooms: [the mudroom, the gym].\nContainers: [the mudroom's ledge, the mudroom's counter, the gym's ledge, the gym's counter]"}}
+{"instance_id":"tom_tracking_0.5k_69","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jonathan is in the attic; Paul is in the dining room; the bookmark is on the attic's buffet; the lipstick is on the attic's bench.\nStep 1: Jonathan leaves the room he was in.\nStep 2: Paul moves to the attic.\nStep 3: Jonathan enters the dining room.\nStep 4: Paul moves to the dining room.\nStep 5: Jonathan moves to the attic.\nStep 6: Paul moves to the attic.\nStep 7: Jonathan leaves the room he was in.\nStep 8: Paul moves to the dining room.\nStep 9: Jonathan enters the attic.\nStep 10: Paul moves to the attic.\n\n[QUESTION]\nWhere does Paul believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Paul's belief on the bookmark:\n- Step 0: (initial state) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: None}\n- Step 1: (Paul location unchanged; bookmark location unchanged) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: None}\n- Step 2: (Paul location changed; bookmark location unchanged) {Paul location: attic; bookmark location: attic's buffet; Paul sees bookmark: True; Paul's belief on bookmark: attic's buffet}\n- Step 3: (Paul location unchanged; bookmark location unchanged) {Paul location: attic; bookmark location: attic's buffet; Paul sees bookmark: True; Paul's belief on bookmark: attic's buffet}\n- Step 4: (Paul location changed; bookmark location unchanged) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: attic's buffet}\n- Step 5: (Paul location unchanged; bookmark location unchanged) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: attic's buffet}\n- Step 6: (Paul location changed; bookmark location unchanged) {Paul location: attic; bookmark location: attic's buffet; Paul sees bookmark: True; Paul's belief on bookmark: attic's buffet}\n- Step 7: (Paul location unchanged; bookmark location unchanged) {Paul location: attic; bookmark location: attic's buffet; Paul sees bookmark: True; Paul's belief on bookmark: attic's buffet}\n- Step 8: (Paul location changed; bookmark location unchanged) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: attic's buffet}\n- Step 9: (Paul location unchanged; bookmark location unchanged) {Paul location: dining room; bookmark location: attic's buffet; Paul sees bookmark: False; Paul's belief on bookmark: attic's buffet}\n- Step 10: (Paul location changed; bookmark location unchanged) {Paul location: attic; bookmark location: attic's buffet; Paul sees bookmark: True; Paul's belief on bookmark: attic's buffet}\nFinal Answer: the attic's buffet","item":{"question":"Where does Paul believe the bookmark is?","story_components":"Agents: [Jonathan, Paul].\nObjects: [the bookmark, the lipstick].\nRooms: [the attic, the dining room].\nContainers: [the attic's buffet, the attic's bench, the dining room's buffet, the dining room's bench]"}}
+{"instance_id":"tom_tracking_0.5k_70","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Shawn is in the kitchen; Shelly is in the playroom; the eraser is on the playroom's rack; the flashlight is on the playroom's mantel.\nStep 1: Shawn moves to the playroom.\nStep 2: Shelly moves the eraser to the playroom's mantel.\nStep 3: Shawn moves the flashlight to the playroom's rack.\nStep 4: Shelly moves to the kitchen.\nStep 5: Shawn moves the eraser to the playroom's rack.\nStep 6: Shelly moves to the playroom.\nStep 7: Shawn leaves the room he was in.\nStep 8: Shelly moves the flashlight to the playroom's mantel.\nStep 9: Shawn enters the playroom.\nStep 10: Shelly moves to the kitchen.\n\n[QUESTION]\nWhere does Shelly believe the eraser is?\n\n[YOUR ANSWER]","reference_output":"Shelly's belief on the eraser:\n- Step 0: (initial state) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 1: (Shelly location unchanged; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 2: (Shelly location unchanged; eraser location changed) {Shelly location: playroom; eraser location: playroom's mantel; Shelly sees eraser: True; Shelly's belief on eraser: playroom's mantel}\n- Step 3: (Shelly location unchanged; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's mantel; Shelly sees eraser: True; Shelly's belief on eraser: playroom's mantel}\n- Step 4: (Shelly location changed; eraser location unchanged) {Shelly location: kitchen; eraser location: playroom's mantel; Shelly sees eraser: False; Shelly's belief on eraser: playroom's mantel}\n- Step 5: (Shelly location unchanged; eraser location changed) {Shelly location: kitchen; eraser location: playroom's rack; Shelly sees eraser: False; Shelly's belief on eraser: playroom's mantel}\n- Step 6: (Shelly location changed; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 7: (Shelly location unchanged; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 8: (Shelly location unchanged; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 9: (Shelly location unchanged; eraser location unchanged) {Shelly location: playroom; eraser location: playroom's rack; Shelly sees eraser: True; Shelly's belief on eraser: playroom's rack}\n- Step 10: (Shelly location changed; eraser location unchanged) {Shelly location: kitchen; eraser location: playroom's rack; Shelly sees eraser: False; Shelly's belief on eraser: playroom's rack}\nFinal Answer: the playroom's rack","item":{"question":"Where does Shelly believe the eraser is?","story_components":"Agents: [Shawn, Shelly].\nObjects: [the eraser, the flashlight].\nRooms: [the kitchen, the playroom].\nContainers: [the kitchen's mantel, the kitchen's rack, the playroom's mantel, the playroom's rack]"}}
+{"instance_id":"tom_tracking_0.5k_71","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kenneth is in the attic; Mark is in the kitchen; the ticket is on the attic's coffee table; the spoon is on the kitchen's stool.\nStep 1: Kenneth moves to the kitchen, and moves the ticket to the kitchen's coffee table.\nStep 2: Mark moves to the attic, and moves the spoon to the attic's stool.\nStep 3: Kenneth leaves the room he was in.\nStep 4: Mark moves to the kitchen, and moves the spoon to the kitchen's stool.\nStep 5: Kenneth enters the attic.\nStep 6: Mark leaves the room he was in.\nStep 7: Kenneth moves to the kitchen.\nStep 8: Mark enters the attic.\nStep 9: Kenneth leaves the room he was in.\nStep 10: Mark moves to the kitchen.\n\n[QUESTION]\nWhere does Mark believe the ticket is?\n\n[YOUR ANSWER]","reference_output":"Mark's belief on the ticket:\n- Step 0: (initial state) {Mark location: kitchen; ticket location: attic's coffee table; Mark sees ticket: False; Mark's belief on ticket: None}\n- Step 1: (Mark location unchanged; ticket location changed) {Mark location: kitchen; ticket location: kitchen's coffee table; Mark sees ticket: True; Mark's belief on ticket: kitchen's coffee table}\n- Step 2: (Mark location changed; ticket location unchanged) {Mark location: attic; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 3: (Mark location unchanged; ticket location unchanged) {Mark location: attic; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 4: (Mark location changed; ticket location unchanged) {Mark location: kitchen; ticket location: kitchen's coffee table; Mark sees ticket: True; Mark's belief on ticket: kitchen's coffee table}\n- Step 5: (Mark location unchanged; ticket location unchanged) {Mark location: kitchen; ticket location: kitchen's coffee table; Mark sees ticket: True; Mark's belief on ticket: kitchen's coffee table}\n- Step 6: (Mark location changed; ticket location unchanged) {Mark location: None; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 7: (Mark location unchanged; ticket location unchanged) {Mark location: None; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 8: (Mark location changed; ticket location unchanged) {Mark location: attic; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 9: (Mark location unchanged; ticket location unchanged) {Mark location: attic; ticket location: kitchen's coffee table; Mark sees ticket: False; Mark's belief on ticket: kitchen's coffee table}\n- Step 10: (Mark location changed; ticket location unchanged) {Mark location: kitchen; ticket location: kitchen's coffee table; Mark sees ticket: True; Mark's belief on ticket: kitchen's coffee table}\nFinal Answer: the kitchen's coffee table","item":{"question":"Where does Mark believe the ticket is?","story_components":"Agents: [Kenneth, Mark].\nObjects: [the ticket, the spoon].\nRooms: [the attic, the kitchen].\nContainers: [the attic's stool, the attic's coffee table, the kitchen's stool, the kitchen's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_72","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Donna is in the playroom; Richard is in the lounge; the playing dice is on the lounge's buffet; the soap bar is on the lounge's buffet.\nStep 1: Richard moves to the playroom, and moves the playing dice to the playroom's tray.\nStep 2: Richard moves the playing dice to the playroom's buffet.\nStep 3: Donna moves to the lounge.\nStep 4: Richard moves to the lounge.\nStep 5: Donna moves the soap bar to the lounge's tray.\nStep 6: Richard moves the soap bar to the lounge's buffet.\nStep 7: Donna leaves the room he was in.\nStep 8: Richard moves to the playroom, and moves the soap bar to the playroom's tray.\nStep 9: Donna enters the playroom.\nStep 10: Richard moves to the lounge.\n\n[QUESTION]\nWhere does Richard believe the soap bar is?\n\n[YOUR ANSWER]","reference_output":"Richard's belief on the soap bar:\n- Step 0: (initial state) {Richard location: lounge; soap bar location: lounge's buffet; Richard sees soap bar: True; Richard's belief on soap bar: lounge's buffet}\n- Step 1: (Richard location changed; soap bar location unchanged) {Richard location: playroom; soap bar location: lounge's buffet; Richard sees soap bar: False; Richard's belief on soap bar: lounge's buffet}\n- Step 2: (Richard location unchanged; soap bar location unchanged) {Richard location: playroom; soap bar location: lounge's buffet; Richard sees soap bar: False; Richard's belief on soap bar: lounge's buffet}\n- Step 3: (Richard location unchanged; soap bar location unchanged) {Richard location: playroom; soap bar location: lounge's buffet; Richard sees soap bar: False; Richard's belief on soap bar: lounge's buffet}\n- Step 4: (Richard location changed; soap bar location unchanged) {Richard location: lounge; soap bar location: lounge's buffet; Richard sees soap bar: True; Richard's belief on soap bar: lounge's buffet}\n- Step 5: (Richard location unchanged; soap bar location changed) {Richard location: lounge; soap bar location: lounge's tray; Richard sees soap bar: True; Richard's belief on soap bar: lounge's tray}\n- Step 6: (Richard location unchanged; soap bar location changed) {Richard location: lounge; soap bar location: lounge's buffet; Richard sees soap bar: True; Richard's belief on soap bar: lounge's buffet}\n- Step 7: (Richard location unchanged; soap bar location unchanged) {Richard location: lounge; soap bar location: lounge's buffet; Richard sees soap bar: True; Richard's belief on soap bar: lounge's buffet}\n- Step 8: (Richard location changed; soap bar location changed) {Richard location: playroom; soap bar location: playroom's tray; Richard sees soap bar: True; Richard's belief on soap bar: playroom's tray}\n- Step 9: (Richard location unchanged; soap bar location unchanged) {Richard location: playroom; soap bar location: playroom's tray; Richard sees soap bar: True; Richard's belief on soap bar: playroom's tray}\n- Step 10: (Richard location changed; soap bar location unchanged) {Richard location: lounge; soap bar location: playroom's tray; Richard sees soap bar: False; Richard's belief on soap bar: playroom's tray}\nFinal Answer: the playroom's tray","item":{"question":"Where does Richard believe the soap bar is?","story_components":"Agents: [Donna, Richard].\nObjects: [the playing dice, the soap bar].\nRooms: [the playroom, the lounge].\nContainers: [the playroom's buffet, the playroom's tray, the lounge's buffet, the lounge's tray]"}}
+{"instance_id":"tom_tracking_0.5k_73","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Emily is in the sunroom; Joel is in the attic; the lipstick is on the attic's stool; the pencil is on the sunroom's stool.\nStep 1: Emily moves to the attic, and moves the pencil to the attic's stool.\nStep 2: Joel leaves the room he was in.\nStep 3: Emily moves to the sunroom, and moves the lipstick to the sunroom's stool.\nStep 4: Joel enters the sunroom.\nStep 5: Emily moves to the attic, and moves the lipstick to the attic's stool.\nStep 6: Emily moves the pencil to the attic's workbench.\nStep 7: Emily moves to the sunroom.\nStep 8: Joel moves to the attic.\nStep 9: Joel moves to the sunroom.\nStep 10: Joel moves to the attic.\n\n[QUESTION]\nWhere does Joel believe the pencil is?\n\n[YOUR ANSWER]","reference_output":"Joel's belief on the pencil:\n- Step 0: (initial state) {Joel location: attic; pencil location: sunroom's stool; Joel sees pencil: False; Joel's belief on pencil: None}\n- Step 1: (Joel location unchanged; pencil location changed) {Joel location: attic; pencil location: attic's stool; Joel sees pencil: True; Joel's belief on pencil: attic's stool}\n- Step 2: (Joel location changed; pencil location unchanged) {Joel location: None; pencil location: attic's stool; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 3: (Joel location unchanged; pencil location unchanged) {Joel location: None; pencil location: attic's stool; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 4: (Joel location changed; pencil location unchanged) {Joel location: sunroom; pencil location: attic's stool; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 5: (Joel location unchanged; pencil location unchanged) {Joel location: sunroom; pencil location: attic's stool; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 6: (Joel location unchanged; pencil location changed) {Joel location: sunroom; pencil location: attic's workbench; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 7: (Joel location unchanged; pencil location unchanged) {Joel location: sunroom; pencil location: attic's workbench; Joel sees pencil: False; Joel's belief on pencil: attic's stool}\n- Step 8: (Joel location changed; pencil location unchanged) {Joel location: attic; pencil location: attic's workbench; Joel sees pencil: True; Joel's belief on pencil: attic's workbench}\n- Step 9: (Joel location changed; pencil location unchanged) {Joel location: sunroom; pencil location: attic's workbench; Joel sees pencil: False; Joel's belief on pencil: attic's workbench}\n- Step 10: (Joel location changed; pencil location unchanged) {Joel location: attic; pencil location: attic's workbench; Joel sees pencil: True; Joel's belief on pencil: attic's workbench}\nFinal Answer: the attic's workbench","item":{"question":"Where does Joel believe the pencil is?","story_components":"Agents: [Emily, Joel].\nObjects: [the lipstick, the pencil].\nRooms: [the attic, the sunroom].\nContainers: [the attic's workbench, the attic's stool, the sunroom's workbench, the sunroom's stool]"}}
+{"instance_id":"tom_tracking_0.5k_74","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the attic; Nancy is in the attic; the USB drive is on the attic's ledge; the pocket mirror is on the attic's ledge.\nStep 1: Eric moves to the sunroom.\nStep 2: Nancy moves to the sunroom.\nStep 3: Eric moves to the attic.\nStep 4: Nancy moves to the attic.\nStep 5: Eric moves the pocket mirror to the attic's nightstand.\nStep 6: Nancy moves the USB drive to the attic's nightstand.\nStep 7: Eric moves to the sunroom.\nStep 8: Nancy moves to the sunroom.\nStep 9: Eric moves to the attic.\nStep 10: Eric moves to the sunroom.\n\n[QUESTION]\nWhere does Nancy believe the pocket mirror is?\n\n[YOUR ANSWER]","reference_output":"Nancy's belief on the pocket mirror:\n- Step 0: (initial state) {Nancy location: attic; pocket mirror location: attic's ledge; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's ledge}\n- Step 1: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: attic; pocket mirror location: attic's ledge; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's ledge}\n- Step 2: (Nancy location changed; pocket mirror location unchanged) {Nancy location: sunroom; pocket mirror location: attic's ledge; Nancy sees pocket mirror: False; Nancy's belief on pocket mirror: attic's ledge}\n- Step 3: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: sunroom; pocket mirror location: attic's ledge; Nancy sees pocket mirror: False; Nancy's belief on pocket mirror: attic's ledge}\n- Step 4: (Nancy location changed; pocket mirror location unchanged) {Nancy location: attic; pocket mirror location: attic's ledge; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's ledge}\n- Step 5: (Nancy location unchanged; pocket mirror location changed) {Nancy location: attic; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's nightstand}\n- Step 6: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: attic; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's nightstand}\n- Step 7: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: attic; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: True; Nancy's belief on pocket mirror: attic's nightstand}\n- Step 8: (Nancy location changed; pocket mirror location unchanged) {Nancy location: sunroom; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: False; Nancy's belief on pocket mirror: attic's nightstand}\n- Step 9: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: sunroom; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: False; Nancy's belief on pocket mirror: attic's nightstand}\n- Step 10: (Nancy location unchanged; pocket mirror location unchanged) {Nancy location: sunroom; pocket mirror location: attic's nightstand; Nancy sees pocket mirror: False; Nancy's belief on pocket mirror: attic's nightstand}\nFinal Answer: the attic's nightstand","item":{"question":"Where does Nancy believe the pocket mirror is?","story_components":"Agents: [Eric, Nancy].\nObjects: [the USB drive, the pocket mirror].\nRooms: [the sunroom, the attic].\nContainers: [the sunroom's nightstand, the sunroom's ledge, the attic's nightstand, the attic's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_75","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the pantry; Emily is in the pantry; the fork is on the pantry's side table; the key is on the garage's side table.\nStep 1: Eric moves to the garage, and moves the fork to the garage's stool.\nStep 2: Emily moves to the garage.\nStep 3: Eric leaves the room he was in.\nStep 4: Emily moves to the pantry.\nStep 5: Eric enters the pantry.\nStep 6: Emily moves to the garage.\nStep 7: Emily moves the key to the garage's stool.\nStep 8: Emily moves the key to the garage's side table.\nStep 9: Emily leaves the room he was in.\nStep 10: Emily enters the garage.\n\n[QUESTION]\nWhere does Emily believe the key is?\n\n[YOUR ANSWER]","reference_output":"Emily's belief on the key:\n- Step 0: (initial state) {Emily location: pantry; key location: garage's side table; Emily sees key: False; Emily's belief on key: None}\n- Step 1: (Emily location unchanged; key location unchanged) {Emily location: pantry; key location: garage's side table; Emily sees key: False; Emily's belief on key: None}\n- Step 2: (Emily location changed; key location unchanged) {Emily location: garage; key location: garage's side table; Emily sees key: True; Emily's belief on key: garage's side table}\n- Step 3: (Emily location unchanged; key location unchanged) {Emily location: garage; key location: garage's side table; Emily sees key: True; Emily's belief on key: garage's side table}\n- Step 4: (Emily location changed; key location unchanged) {Emily location: pantry; key location: garage's side table; Emily sees key: False; Emily's belief on key: garage's side table}\n- Step 5: (Emily location unchanged; key location unchanged) {Emily location: pantry; key location: garage's side table; Emily sees key: False; Emily's belief on key: garage's side table}\n- Step 6: (Emily location changed; key location unchanged) {Emily location: garage; key location: garage's side table; Emily sees key: True; Emily's belief on key: garage's side table}\n- Step 7: (Emily location unchanged; key location changed) {Emily location: garage; key location: garage's stool; Emily sees key: True; Emily's belief on key: garage's stool}\n- Step 8: (Emily location unchanged; key location changed) {Emily location: garage; key location: garage's side table; Emily sees key: True; Emily's belief on key: garage's side table}\n- Step 9: (Emily location changed; key location unchanged) {Emily location: None; key location: garage's side table; Emily sees key: False; Emily's belief on key: garage's side table}\n- Step 10: (Emily location changed; key location unchanged) {Emily location: garage; key location: garage's side table; Emily sees key: True; Emily's belief on key: garage's side table}\nFinal Answer: the garage's side table","item":{"question":"Where does Emily believe the key is?","story_components":"Agents: [Eric, Emily].\nObjects: [the fork, the key].\nRooms: [the garage, the pantry].\nContainers: [the garage's stool, the garage's side table, the pantry's stool, the pantry's side table]"}}
+{"instance_id":"tom_tracking_0.5k_76","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Lisa is in the pantry; Cassandra is in the pantry; the key fob is on the kitchen's pedestal; the paper crane is on the kitchen's sideboard.\nStep 1: Lisa moves to the kitchen.\nStep 2: Lisa moves to the pantry.\nStep 3: Lisa moves to the kitchen.\nStep 4: Cassandra moves to the kitchen.\nStep 5: Lisa leaves the room he was in.\nStep 6: Cassandra moves to the pantry, and moves the paper crane to the pantry's sideboard.\nStep 7: Lisa enters the kitchen.\nStep 8: Cassandra moves to the kitchen, and moves the paper crane to the kitchen's sideboard.\nStep 9: Lisa moves the key fob to the kitchen's sideboard.\nStep 10: Cassandra leaves the room he was in.\n\n[QUESTION]\nWhere does Lisa believe the paper crane is?\n\n[YOUR ANSWER]","reference_output":"Lisa's belief on the paper crane:\n- Step 0: (initial state) {Lisa location: pantry; paper crane location: kitchen's sideboard; Lisa sees paper crane: False; Lisa's belief on paper crane: None}\n- Step 1: (Lisa location changed; paper crane location unchanged) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 2: (Lisa location changed; paper crane location unchanged) {Lisa location: pantry; paper crane location: kitchen's sideboard; Lisa sees paper crane: False; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 3: (Lisa location changed; paper crane location unchanged) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 4: (Lisa location unchanged; paper crane location unchanged) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 5: (Lisa location changed; paper crane location unchanged) {Lisa location: None; paper crane location: kitchen's sideboard; Lisa sees paper crane: False; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 6: (Lisa location unchanged; paper crane location changed) {Lisa location: None; paper crane location: pantry's sideboard; Lisa sees paper crane: False; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 7: (Lisa location changed; paper crane location unchanged) {Lisa location: kitchen; paper crane location: pantry's sideboard; Lisa sees paper crane: False; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 8: (Lisa location unchanged; paper crane location changed) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 9: (Lisa location unchanged; paper crane location unchanged) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\n- Step 10: (Lisa location unchanged; paper crane location unchanged) {Lisa location: kitchen; paper crane location: kitchen's sideboard; Lisa sees paper crane: True; Lisa's belief on paper crane: kitchen's sideboard}\nFinal Answer: the kitchen's sideboard","item":{"question":"Where does Lisa believe the paper crane is?","story_components":"Agents: [Lisa, Cassandra].\nObjects: [the key fob, the paper crane].\nRooms: [the pantry, the kitchen].\nContainers: [the pantry's pedestal, the pantry's sideboard, the kitchen's pedestal, the kitchen's sideboard]"}}
+{"instance_id":"tom_tracking_0.5k_77","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the craft room; Debbie is in the craft room; the eraser cap is on the craft room's console table; the pill bottle is on the craft room's console table.\nStep 1: Chris moves to the sauna, and moves the eraser cap to the sauna's console table.\nStep 2: Debbie leaves the room he was in.\nStep 3: Chris moves to the craft room.\nStep 4: Debbie enters the sauna.\nStep 5: Chris moves to the sauna.\nStep 6: Debbie moves the eraser cap to the sauna's bistro table.\nStep 7: Chris moves to the craft room, and moves the eraser cap to the craft room's console table.\nStep 8: Debbie moves to the craft room.\nStep 9: Chris moves to the sauna, and moves the pill bottle to the sauna's console table.\nStep 10: Debbie moves the eraser cap to the craft room's bistro table.\n\n[QUESTION]\nWhere does Chris believe the eraser cap is?\n\n[YOUR ANSWER]","reference_output":"Chris's belief on the eraser cap:\n- Step 0: (initial state) {Chris location: craft room; eraser cap location: craft room's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: craft room's console table}\n- Step 1: (Chris location changed; eraser cap location changed) {Chris location: sauna; eraser cap location: sauna's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: sauna's console table}\n- Step 2: (Chris location unchanged; eraser cap location unchanged) {Chris location: sauna; eraser cap location: sauna's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: sauna's console table}\n- Step 3: (Chris location changed; eraser cap location unchanged) {Chris location: craft room; eraser cap location: sauna's console table; Chris sees eraser cap: False; Chris's belief on eraser cap: sauna's console table}\n- Step 4: (Chris location unchanged; eraser cap location unchanged) {Chris location: craft room; eraser cap location: sauna's console table; Chris sees eraser cap: False; Chris's belief on eraser cap: sauna's console table}\n- Step 5: (Chris location changed; eraser cap location unchanged) {Chris location: sauna; eraser cap location: sauna's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: sauna's console table}\n- Step 6: (Chris location unchanged; eraser cap location changed) {Chris location: sauna; eraser cap location: sauna's bistro table; Chris sees eraser cap: True; Chris's belief on eraser cap: sauna's bistro table}\n- Step 7: (Chris location changed; eraser cap location changed) {Chris location: craft room; eraser cap location: craft room's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: craft room's console table}\n- Step 8: (Chris location unchanged; eraser cap location unchanged) {Chris location: craft room; eraser cap location: craft room's console table; Chris sees eraser cap: True; Chris's belief on eraser cap: craft room's console table}\n- Step 9: (Chris location changed; eraser cap location unchanged) {Chris location: sauna; eraser cap location: craft room's console table; Chris sees eraser cap: False; Chris's belief on eraser cap: craft room's console table}\n- Step 10: (Chris location unchanged; eraser cap location changed) {Chris location: sauna; eraser cap location: craft room's bistro table; Chris sees eraser cap: False; Chris's belief on eraser cap: craft room's console table}\nFinal Answer: the craft room's console table","item":{"question":"Where does Chris believe the eraser cap is?","story_components":"Agents: [Chris, Debbie].\nObjects: [the eraser cap, the pill bottle].\nRooms: [the sauna, the craft room].\nContainers: [the sauna's bistro table, the sauna's console table, the craft room's bistro table, the craft room's console table]"}}
+{"instance_id":"tom_tracking_0.5k_78","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Ashley is in the basement; Stacey is in the playroom; the phone is on the basement's windowsill; the eyeglass cloth is on the basement's windowsill.\nStep 1: Ashley leaves the room he was in.\nStep 2: Stacey moves to the basement.\nStep 3: Ashley enters the playroom.\nStep 4: Stacey moves to the playroom, and moves the phone to the playroom's windowsill.\nStep 5: Ashley moves to the basement, and moves the phone to the basement's credenza.\nStep 6: Ashley moves to the playroom, and moves the eyeglass cloth to the playroom's windowsill.\nStep 7: Ashley moves to the basement.\nStep 8: Stacey leaves the room he was in.\nStep 9: Ashley moves to the playroom.\nStep 10: Stacey enters the playroom.\n\n[QUESTION]\nWhere does Stacey believe the phone is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the phone:\n- Step 0: (initial state) {Stacey location: playroom; phone location: basement's windowsill; Stacey sees phone: False; Stacey's belief on phone: None}\n- Step 1: (Stacey location unchanged; phone location unchanged) {Stacey location: playroom; phone location: basement's windowsill; Stacey sees phone: False; Stacey's belief on phone: None}\n- Step 2: (Stacey location changed; phone location unchanged) {Stacey location: basement; phone location: basement's windowsill; Stacey sees phone: True; Stacey's belief on phone: basement's windowsill}\n- Step 3: (Stacey location unchanged; phone location unchanged) {Stacey location: basement; phone location: basement's windowsill; Stacey sees phone: True; Stacey's belief on phone: basement's windowsill}\n- Step 4: (Stacey location changed; phone location changed) {Stacey location: playroom; phone location: playroom's windowsill; Stacey sees phone: True; Stacey's belief on phone: playroom's windowsill}\n- Step 5: (Stacey location unchanged; phone location changed) {Stacey location: playroom; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\n- Step 6: (Stacey location unchanged; phone location unchanged) {Stacey location: playroom; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\n- Step 7: (Stacey location unchanged; phone location unchanged) {Stacey location: playroom; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\n- Step 8: (Stacey location changed; phone location unchanged) {Stacey location: None; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\n- Step 9: (Stacey location unchanged; phone location unchanged) {Stacey location: None; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\n- Step 10: (Stacey location changed; phone location unchanged) {Stacey location: playroom; phone location: basement's credenza; Stacey sees phone: False; Stacey's belief on phone: playroom's windowsill}\nFinal Answer: the playroom's windowsill","item":{"question":"Where does Stacey believe the phone is?","story_components":"Agents: [Ashley, Stacey].\nObjects: [the phone, the eyeglass cloth].\nRooms: [the basement, the playroom].\nContainers: [the basement's credenza, the basement's windowsill, the playroom's credenza, the playroom's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_79","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Breanna is in the dining room; Haley is in the closet; the mini stapler is on the dining room's bistro table; the memory card is on the dining room's bistro table.\nStep 1: Breanna moves to the closet.\nStep 2: Haley moves to the dining room.\nStep 3: Haley moves to the closet.\nStep 4: Haley moves to the dining room.\nStep 5: Haley moves to the closet.\nStep 6: Haley moves to the dining room.\nStep 7: Breanna moves to the dining room.\nStep 8: Haley moves the mini stapler to the dining room's stool.\nStep 9: Breanna moves to the closet, and moves the memory card to the closet's bistro table.\nStep 10: Haley moves to the closet, and moves the mini stapler to the closet's bistro table.\n\n[QUESTION]\nWhere does Haley believe the mini stapler is?\n\n[YOUR ANSWER]","reference_output":"Haley's belief on the mini stapler:\n- Step 0: (initial state) {Haley location: closet; mini stapler location: dining room's bistro table; Haley sees mini stapler: False; Haley's belief on mini stapler: None}\n- Step 1: (Haley location unchanged; mini stapler location unchanged) {Haley location: closet; mini stapler location: dining room's bistro table; Haley sees mini stapler: False; Haley's belief on mini stapler: None}\n- Step 2: (Haley location changed; mini stapler location unchanged) {Haley location: dining room; mini stapler location: dining room's bistro table; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's bistro table}\n- Step 3: (Haley location changed; mini stapler location unchanged) {Haley location: closet; mini stapler location: dining room's bistro table; Haley sees mini stapler: False; Haley's belief on mini stapler: dining room's bistro table}\n- Step 4: (Haley location changed; mini stapler location unchanged) {Haley location: dining room; mini stapler location: dining room's bistro table; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's bistro table}\n- Step 5: (Haley location changed; mini stapler location unchanged) {Haley location: closet; mini stapler location: dining room's bistro table; Haley sees mini stapler: False; Haley's belief on mini stapler: dining room's bistro table}\n- Step 6: (Haley location changed; mini stapler location unchanged) {Haley location: dining room; mini stapler location: dining room's bistro table; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's bistro table}\n- Step 7: (Haley location unchanged; mini stapler location unchanged) {Haley location: dining room; mini stapler location: dining room's bistro table; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's bistro table}\n- Step 8: (Haley location unchanged; mini stapler location changed) {Haley location: dining room; mini stapler location: dining room's stool; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's stool}\n- Step 9: (Haley location unchanged; mini stapler location unchanged) {Haley location: dining room; mini stapler location: dining room's stool; Haley sees mini stapler: True; Haley's belief on mini stapler: dining room's stool}\n- Step 10: (Haley location changed; mini stapler location changed) {Haley location: closet; mini stapler location: closet's bistro table; Haley sees mini stapler: True; Haley's belief on mini stapler: closet's bistro table}\nFinal Answer: the closet's bistro table","item":{"question":"Where does Haley believe the mini stapler is?","story_components":"Agents: [Breanna, Haley].\nObjects: [the mini stapler, the memory card].\nRooms: [the dining room, the closet].\nContainers: [the dining room's stool, the dining room's bistro table, the closet's stool, the closet's bistro table]"}}
+{"instance_id":"tom_tracking_0.5k_80","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Debbie is in the balcony; Justin is in the balcony; the lip balm is on the basement's windowsill; the soap bar is on the balcony's desk.\nStep 1: Debbie moves the soap bar to the balcony's windowsill.\nStep 2: Justin leaves the room he was in.\nStep 3: Debbie leaves the room he was in.\nStep 4: Justin enters the basement.\nStep 5: Debbie enters the basement.\nStep 6: Justin moves the lip balm to the basement's desk.\nStep 7: Debbie moves the lip balm to the basement's windowsill.\nStep 8: Justin leaves the room he was in.\nStep 9: Debbie moves to the balcony, and moves the lip balm to the balcony's desk.\nStep 10: Justin enters the basement.\n\n[QUESTION]\nWhere does Justin believe the soap bar is?\n\n[YOUR ANSWER]","reference_output":"Justin's belief on the soap bar:\n- Step 0: (initial state) {Justin location: balcony; soap bar location: balcony's desk; Justin sees soap bar: True; Justin's belief on soap bar: balcony's desk}\n- Step 1: (Justin location unchanged; soap bar location changed) {Justin location: balcony; soap bar location: balcony's windowsill; Justin sees soap bar: True; Justin's belief on soap bar: balcony's windowsill}\n- Step 2: (Justin location changed; soap bar location unchanged) {Justin location: None; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 3: (Justin location unchanged; soap bar location unchanged) {Justin location: None; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 4: (Justin location changed; soap bar location unchanged) {Justin location: basement; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 5: (Justin location unchanged; soap bar location unchanged) {Justin location: basement; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 6: (Justin location unchanged; soap bar location unchanged) {Justin location: basement; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 7: (Justin location unchanged; soap bar location unchanged) {Justin location: basement; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 8: (Justin location changed; soap bar location unchanged) {Justin location: None; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 9: (Justin location unchanged; soap bar location unchanged) {Justin location: None; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\n- Step 10: (Justin location changed; soap bar location unchanged) {Justin location: basement; soap bar location: balcony's windowsill; Justin sees soap bar: False; Justin's belief on soap bar: balcony's windowsill}\nFinal Answer: the balcony's windowsill","item":{"question":"Where does Justin believe the soap bar is?","story_components":"Agents: [Debbie, Justin].\nObjects: [the lip balm, the soap bar].\nRooms: [the balcony, the basement].\nContainers: [the balcony's desk, the balcony's windowsill, the basement's desk, the basement's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_81","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Reginald is in the living room; Michael is in the living room; the sticker is on the living room's tv stand; the bobby pin is on the living room's coffee table.\nStep 1: Reginald moves to the sunroom, and moves the bobby pin to the sunroom's coffee table.\nStep 2: Michael leaves the room he was in.\nStep 3: Reginald moves to the living room, and moves the bobby pin to the living room's coffee table.\nStep 4: Michael enters the living room.\nStep 5: Reginald moves to the sunroom, and moves the sticker to the sunroom's coffee table.\nStep 6: Michael leaves the room he was in.\nStep 7: Reginald moves the sticker to the sunroom's tv stand.\nStep 8: Michael enters the living room.\nStep 9: Reginald moves to the living room.\nStep 10: Michael leaves the room he was in.\n\n[QUESTION]\nWhere does Reginald believe the sticker is?\n\n[YOUR ANSWER]","reference_output":"Reginald's belief on the sticker:\n- Step 0: (initial state) {Reginald location: living room; sticker location: living room's tv stand; Reginald sees sticker: True; Reginald's belief on sticker: living room's tv stand}\n- Step 1: (Reginald location changed; sticker location unchanged) {Reginald location: sunroom; sticker location: living room's tv stand; Reginald sees sticker: False; Reginald's belief on sticker: living room's tv stand}\n- Step 2: (Reginald location unchanged; sticker location unchanged) {Reginald location: sunroom; sticker location: living room's tv stand; Reginald sees sticker: False; Reginald's belief on sticker: living room's tv stand}\n- Step 3: (Reginald location changed; sticker location unchanged) {Reginald location: living room; sticker location: living room's tv stand; Reginald sees sticker: True; Reginald's belief on sticker: living room's tv stand}\n- Step 4: (Reginald location unchanged; sticker location unchanged) {Reginald location: living room; sticker location: living room's tv stand; Reginald sees sticker: True; Reginald's belief on sticker: living room's tv stand}\n- Step 5: (Reginald location changed; sticker location changed) {Reginald location: sunroom; sticker location: sunroom's coffee table; Reginald sees sticker: True; Reginald's belief on sticker: sunroom's coffee table}\n- Step 6: (Reginald location unchanged; sticker location unchanged) {Reginald location: sunroom; sticker location: sunroom's coffee table; Reginald sees sticker: True; Reginald's belief on sticker: sunroom's coffee table}\n- Step 7: (Reginald location unchanged; sticker location changed) {Reginald location: sunroom; sticker location: sunroom's tv stand; Reginald sees sticker: True; Reginald's belief on sticker: sunroom's tv stand}\n- Step 8: (Reginald location unchanged; sticker location unchanged) {Reginald location: sunroom; sticker location: sunroom's tv stand; Reginald sees sticker: True; Reginald's belief on sticker: sunroom's tv stand}\n- Step 9: (Reginald location changed; sticker location unchanged) {Reginald location: living room; sticker location: sunroom's tv stand; Reginald sees sticker: False; Reginald's belief on sticker: sunroom's tv stand}\n- Step 10: (Reginald location unchanged; sticker location unchanged) {Reginald location: living room; sticker location: sunroom's tv stand; Reginald sees sticker: False; Reginald's belief on sticker: sunroom's tv stand}\nFinal Answer: the sunroom's tv stand","item":{"question":"Where does Reginald believe the sticker is?","story_components":"Agents: [Reginald, Michael].\nObjects: [the sticker, the bobby pin].\nRooms: [the sunroom, the living room].\nContainers: [the sunroom's coffee table, the sunroom's tv stand, the living room's coffee table, the living room's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_82","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nancy is in the living room; Jodi is in the craft room; the poker chip is on the craft room's ledge; the post-it note is on the living room's bench.\nStep 1: Nancy moves the post-it note to the living room's ledge.\nStep 2: Jodi leaves the room he was in.\nStep 3: Nancy moves to the craft room.\nStep 4: Jodi enters the living room.\nStep 5: Nancy moves to the living room.\nStep 6: Jodi moves the post-it note to the living room's bench.\nStep 7: Nancy moves the post-it note to the living room's ledge.\nStep 8: Jodi moves to the craft room, and moves the post-it note to the craft room's bench.\nStep 9: Nancy moves to the craft room.\nStep 10: Jodi moves to the living room.\n\n[QUESTION]\nWhere does Jodi believe the poker chip is?\n\n[YOUR ANSWER]","reference_output":"Jodi's belief on the poker chip:\n- Step 0: (initial state) {Jodi location: craft room; poker chip location: craft room's ledge; Jodi sees poker chip: True; Jodi's belief on poker chip: craft room's ledge}\n- Step 1: (Jodi location unchanged; poker chip location unchanged) {Jodi location: craft room; poker chip location: craft room's ledge; Jodi sees poker chip: True; Jodi's belief on poker chip: craft room's ledge}\n- Step 2: (Jodi location changed; poker chip location unchanged) {Jodi location: None; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 3: (Jodi location unchanged; poker chip location unchanged) {Jodi location: None; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 4: (Jodi location changed; poker chip location unchanged) {Jodi location: living room; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 5: (Jodi location unchanged; poker chip location unchanged) {Jodi location: living room; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 6: (Jodi location unchanged; poker chip location unchanged) {Jodi location: living room; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 7: (Jodi location unchanged; poker chip location unchanged) {Jodi location: living room; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\n- Step 8: (Jodi location changed; poker chip location unchanged) {Jodi location: craft room; poker chip location: craft room's ledge; Jodi sees poker chip: True; Jodi's belief on poker chip: craft room's ledge}\n- Step 9: (Jodi location unchanged; poker chip location unchanged) {Jodi location: craft room; poker chip location: craft room's ledge; Jodi sees poker chip: True; Jodi's belief on poker chip: craft room's ledge}\n- Step 10: (Jodi location changed; poker chip location unchanged) {Jodi location: living room; poker chip location: craft room's ledge; Jodi sees poker chip: False; Jodi's belief on poker chip: craft room's ledge}\nFinal Answer: the craft room's ledge","item":{"question":"Where does Jodi believe the poker chip is?","story_components":"Agents: [Nancy, Jodi].\nObjects: [the poker chip, the post-it note].\nRooms: [the craft room, the living room].\nContainers: [the craft room's bench, the craft room's ledge, the living room's bench, the living room's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_83","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Dennis is in the storage room; Cassandra is in the game room; the chocolate bar is on the storage room's podium; the bookmark is on the storage room's mantel.\nStep 1: Dennis moves the chocolate bar to the storage room's mantel.\nStep 2: Dennis moves the bookmark to the storage room's podium.\nStep 3: Dennis moves the bookmark to the storage room's mantel.\nStep 4: Cassandra moves to the storage room.\nStep 5: Dennis moves the chocolate bar to the storage room's podium.\nStep 6: Cassandra moves to the game room.\nStep 7: Dennis moves to the game room, and moves the chocolate bar to the game room's podium.\nStep 8: Cassandra moves to the storage room, and moves the chocolate bar to the storage room's mantel.\nStep 9: Cassandra moves to the game room, and moves the bookmark to the game room's podium.\nStep 10: Cassandra leaves the room he was in.\n\n[QUESTION]\nWhere does Cassandra believe the chocolate bar is?\n\n[YOUR ANSWER]","reference_output":"Cassandra's belief on the chocolate bar:\n- Step 0: (initial state) {Cassandra location: game room; chocolate bar location: storage room's podium; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: None}\n- Step 1: (Cassandra location unchanged; chocolate bar location changed) {Cassandra location: game room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: None}\n- Step 2: (Cassandra location unchanged; chocolate bar location unchanged) {Cassandra location: game room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: None}\n- Step 3: (Cassandra location unchanged; chocolate bar location unchanged) {Cassandra location: game room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: None}\n- Step 4: (Cassandra location changed; chocolate bar location unchanged) {Cassandra location: storage room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: True; Cassandra's belief on chocolate bar: storage room's mantel}\n- Step 5: (Cassandra location unchanged; chocolate bar location changed) {Cassandra location: storage room; chocolate bar location: storage room's podium; Cassandra sees chocolate bar: True; Cassandra's belief on chocolate bar: storage room's podium}\n- Step 6: (Cassandra location changed; chocolate bar location unchanged) {Cassandra location: game room; chocolate bar location: storage room's podium; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: storage room's podium}\n- Step 7: (Cassandra location unchanged; chocolate bar location changed) {Cassandra location: game room; chocolate bar location: game room's podium; Cassandra sees chocolate bar: True; Cassandra's belief on chocolate bar: game room's podium}\n- Step 8: (Cassandra location changed; chocolate bar location changed) {Cassandra location: storage room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: True; Cassandra's belief on chocolate bar: storage room's mantel}\n- Step 9: (Cassandra location changed; chocolate bar location unchanged) {Cassandra location: game room; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: storage room's mantel}\n- Step 10: (Cassandra location changed; chocolate bar location unchanged) {Cassandra location: None; chocolate bar location: storage room's mantel; Cassandra sees chocolate bar: False; Cassandra's belief on chocolate bar: storage room's mantel}\nFinal Answer: the storage room's mantel","item":{"question":"Where does Cassandra believe the chocolate bar is?","story_components":"Agents: [Dennis, Cassandra].\nObjects: [the chocolate bar, the bookmark].\nRooms: [the storage room, the game room].\nContainers: [the storage room's podium, the storage room's mantel, the game room's podium, the game room's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_84","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Leon is in the sauna; Alyssa is in the sauna; the key is on the sauna's bench; the safety pin is on the sauna's bench.\nStep 1: Leon leaves the room he was in.\nStep 2: Alyssa moves to the attic.\nStep 3: Leon enters the sauna.\nStep 4: Alyssa moves to the sauna.\nStep 5: Leon leaves the room he was in.\nStep 6: Alyssa moves the safety pin to the sauna's credenza.\nStep 7: Leon enters the attic.\nStep 8: Alyssa leaves the room he was in.\nStep 9: Leon moves to the sauna.\nStep 10: Alyssa enters the attic.\n\n[QUESTION]\nWhere does Leon believe the key is?\n\n[YOUR ANSWER]","reference_output":"Leon's belief on the key:\n- Step 0: (initial state) {Leon location: sauna; key location: sauna's bench; Leon sees key: True; Leon's belief on key: sauna's bench}\n- Step 1: (Leon location changed; key location unchanged) {Leon location: None; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 2: (Leon location unchanged; key location unchanged) {Leon location: None; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 3: (Leon location changed; key location unchanged) {Leon location: sauna; key location: sauna's bench; Leon sees key: True; Leon's belief on key: sauna's bench}\n- Step 4: (Leon location unchanged; key location unchanged) {Leon location: sauna; key location: sauna's bench; Leon sees key: True; Leon's belief on key: sauna's bench}\n- Step 5: (Leon location changed; key location unchanged) {Leon location: None; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 6: (Leon location unchanged; key location unchanged) {Leon location: None; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 7: (Leon location changed; key location unchanged) {Leon location: attic; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 8: (Leon location unchanged; key location unchanged) {Leon location: attic; key location: sauna's bench; Leon sees key: False; Leon's belief on key: sauna's bench}\n- Step 9: (Leon location changed; key location unchanged) {Leon location: sauna; key location: sauna's bench; Leon sees key: True; Leon's belief on key: sauna's bench}\n- Step 10: (Leon location unchanged; key location unchanged) {Leon location: sauna; key location: sauna's bench; Leon sees key: True; Leon's belief on key: sauna's bench}\nFinal Answer: the sauna's bench","item":{"question":"Where does Leon believe the key is?","story_components":"Agents: [Leon, Alyssa].\nObjects: [the key, the safety pin].\nRooms: [the attic, the sauna].\nContainers: [the attic's credenza, the attic's bench, the sauna's credenza, the sauna's bench]"}}
+{"instance_id":"tom_tracking_0.5k_85","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Patricia is in the bathroom; Holly is in the playroom; the notebook is on the bathroom's nightstand; the paper crane is on the bathroom's nightstand.\nStep 1: Patricia leaves the room he was in.\nStep 2: Holly moves to the bathroom.\nStep 3: Patricia enters the playroom.\nStep 4: Holly moves the paper crane to the bathroom's pedestal.\nStep 5: Holly moves the notebook to the bathroom's pedestal.\nStep 6: Holly moves to the playroom, and moves the paper crane to the playroom's pedestal.\nStep 7: Patricia moves to the bathroom, and moves the paper crane to the bathroom's nightstand.\nStep 8: Patricia moves to the playroom, and moves the notebook to the playroom's nightstand.\nStep 9: Patricia moves to the bathroom, and moves the notebook to the bathroom's nightstand.\nStep 10: Patricia moves to the playroom.\n\n[QUESTION]\nWhere does Holly believe the paper crane is?\n\n[YOUR ANSWER]","reference_output":"Holly's belief on the paper crane:\n- Step 0: (initial state) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: None}\n- Step 1: (Holly location unchanged; paper crane location unchanged) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: None}\n- Step 2: (Holly location changed; paper crane location unchanged) {Holly location: bathroom; paper crane location: bathroom's nightstand; Holly sees paper crane: True; Holly's belief on paper crane: bathroom's nightstand}\n- Step 3: (Holly location unchanged; paper crane location unchanged) {Holly location: bathroom; paper crane location: bathroom's nightstand; Holly sees paper crane: True; Holly's belief on paper crane: bathroom's nightstand}\n- Step 4: (Holly location unchanged; paper crane location changed) {Holly location: bathroom; paper crane location: bathroom's pedestal; Holly sees paper crane: True; Holly's belief on paper crane: bathroom's pedestal}\n- Step 5: (Holly location unchanged; paper crane location unchanged) {Holly location: bathroom; paper crane location: bathroom's pedestal; Holly sees paper crane: True; Holly's belief on paper crane: bathroom's pedestal}\n- Step 6: (Holly location changed; paper crane location changed) {Holly location: playroom; paper crane location: playroom's pedestal; Holly sees paper crane: True; Holly's belief on paper crane: playroom's pedestal}\n- Step 7: (Holly location unchanged; paper crane location changed) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: playroom's pedestal}\n- Step 8: (Holly location unchanged; paper crane location unchanged) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: playroom's pedestal}\n- Step 9: (Holly location unchanged; paper crane location unchanged) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: playroom's pedestal}\n- Step 10: (Holly location unchanged; paper crane location unchanged) {Holly location: playroom; paper crane location: bathroom's nightstand; Holly sees paper crane: False; Holly's belief on paper crane: playroom's pedestal}\nFinal Answer: the playroom's pedestal","item":{"question":"Where does Holly believe the paper crane is?","story_components":"Agents: [Patricia, Holly].\nObjects: [the notebook, the paper crane].\nRooms: [the bathroom, the playroom].\nContainers: [the bathroom's pedestal, the bathroom's nightstand, the playroom's pedestal, the playroom's nightstand]"}}
+{"instance_id":"tom_tracking_0.5k_86","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kenneth is in the office; Margaret is in the office; the necklace is on the library's stool; the paperclip is on the office's cabinet top.\nStep 1: Kenneth leaves the room he was in.\nStep 2: Margaret moves to the library.\nStep 3: Kenneth enters the library.\nStep 4: Margaret leaves the room he was in.\nStep 5: Kenneth moves the necklace to the library's cabinet top.\nStep 6: Margaret enters the library.\nStep 7: Kenneth moves to the office.\nStep 8: Margaret moves to the office.\nStep 9: Kenneth leaves the room he was in.\nStep 10: Margaret moves to the library.\n\n[QUESTION]\nWhere does Margaret believe the necklace is?\n\n[YOUR ANSWER]","reference_output":"Margaret's belief on the necklace:\n- Step 0: (initial state) {Margaret location: office; necklace location: library's stool; Margaret sees necklace: False; Margaret's belief on necklace: None}\n- Step 1: (Margaret location unchanged; necklace location unchanged) {Margaret location: office; necklace location: library's stool; Margaret sees necklace: False; Margaret's belief on necklace: None}\n- Step 2: (Margaret location changed; necklace location unchanged) {Margaret location: library; necklace location: library's stool; Margaret sees necklace: True; Margaret's belief on necklace: library's stool}\n- Step 3: (Margaret location unchanged; necklace location unchanged) {Margaret location: library; necklace location: library's stool; Margaret sees necklace: True; Margaret's belief on necklace: library's stool}\n- Step 4: (Margaret location changed; necklace location unchanged) {Margaret location: None; necklace location: library's stool; Margaret sees necklace: False; Margaret's belief on necklace: library's stool}\n- Step 5: (Margaret location unchanged; necklace location changed) {Margaret location: None; necklace location: library's cabinet top; Margaret sees necklace: False; Margaret's belief on necklace: library's stool}\n- Step 6: (Margaret location changed; necklace location unchanged) {Margaret location: library; necklace location: library's cabinet top; Margaret sees necklace: True; Margaret's belief on necklace: library's cabinet top}\n- Step 7: (Margaret location unchanged; necklace location unchanged) {Margaret location: library; necklace location: library's cabinet top; Margaret sees necklace: True; Margaret's belief on necklace: library's cabinet top}\n- Step 8: (Margaret location changed; necklace location unchanged) {Margaret location: office; necklace location: library's cabinet top; Margaret sees necklace: False; Margaret's belief on necklace: library's cabinet top}\n- Step 9: (Margaret location unchanged; necklace location unchanged) {Margaret location: office; necklace location: library's cabinet top; Margaret sees necklace: False; Margaret's belief on necklace: library's cabinet top}\n- Step 10: (Margaret location changed; necklace location unchanged) {Margaret location: library; necklace location: library's cabinet top; Margaret sees necklace: True; Margaret's belief on necklace: library's cabinet top}\nFinal Answer: the library's cabinet top","item":{"question":"Where does Margaret believe the necklace is?","story_components":"Agents: [Kenneth, Margaret].\nObjects: [the necklace, the paperclip].\nRooms: [the library, the office].\nContainers: [the library's stool, the library's cabinet top, the office's stool, the office's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_87","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jennifer is in the mudroom; Catherine is in the mudroom; the shoe lace is on the mudroom's stand; the chess piece is on the sauna's stool.\nStep 1: Jennifer moves to the sauna, and moves the shoe lace to the sauna's stand.\nStep 2: Catherine moves to the sauna.\nStep 3: Jennifer moves to the mudroom.\nStep 4: Catherine moves to the mudroom, and moves the chess piece to the mudroom's stool.\nStep 5: Jennifer moves the chess piece to the mudroom's stand.\nStep 6: Catherine moves to the sauna.\nStep 7: Jennifer moves the chess piece to the mudroom's stool.\nStep 8: Catherine moves to the mudroom, and moves the shoe lace to the mudroom's stand.\nStep 9: Jennifer moves to the sauna.\nStep 10: Catherine moves to the sauna.\n\n[QUESTION]\nWhere does Catherine believe the shoe lace is?\n\n[YOUR ANSWER]","reference_output":"Catherine's belief on the shoe lace:\n- Step 0: (initial state) {Catherine location: mudroom; shoe lace location: mudroom's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: mudroom's stand}\n- Step 1: (Catherine location unchanged; shoe lace location changed) {Catherine location: mudroom; shoe lace location: sauna's stand; Catherine sees shoe lace: False; Catherine's belief on shoe lace: mudroom's stand}\n- Step 2: (Catherine location changed; shoe lace location unchanged) {Catherine location: sauna; shoe lace location: sauna's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: sauna's stand}\n- Step 3: (Catherine location unchanged; shoe lace location unchanged) {Catherine location: sauna; shoe lace location: sauna's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: sauna's stand}\n- Step 4: (Catherine location changed; shoe lace location unchanged) {Catherine location: mudroom; shoe lace location: sauna's stand; Catherine sees shoe lace: False; Catherine's belief on shoe lace: sauna's stand}\n- Step 5: (Catherine location unchanged; shoe lace location unchanged) {Catherine location: mudroom; shoe lace location: sauna's stand; Catherine sees shoe lace: False; Catherine's belief on shoe lace: sauna's stand}\n- Step 6: (Catherine location changed; shoe lace location unchanged) {Catherine location: sauna; shoe lace location: sauna's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: sauna's stand}\n- Step 7: (Catherine location unchanged; shoe lace location unchanged) {Catherine location: sauna; shoe lace location: sauna's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: sauna's stand}\n- Step 8: (Catherine location changed; shoe lace location changed) {Catherine location: mudroom; shoe lace location: mudroom's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: mudroom's stand}\n- Step 9: (Catherine location unchanged; shoe lace location unchanged) {Catherine location: mudroom; shoe lace location: mudroom's stand; Catherine sees shoe lace: True; Catherine's belief on shoe lace: mudroom's stand}\n- Step 10: (Catherine location changed; shoe lace location unchanged) {Catherine location: sauna; shoe lace location: mudroom's stand; Catherine sees shoe lace: False; Catherine's belief on shoe lace: mudroom's stand}\nFinal Answer: the mudroom's stand","item":{"question":"Where does Catherine believe the shoe lace is?","story_components":"Agents: [Jennifer, Catherine].\nObjects: [the shoe lace, the chess piece].\nRooms: [the sauna, the mudroom].\nContainers: [the sauna's stool, the sauna's stand, the mudroom's stool, the mudroom's stand]"}}
+{"instance_id":"tom_tracking_0.5k_88","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Crystal is in the office; Michael is in the office; the nail file is on the office's tv stand; the pencil case is on the office's counter.\nStep 1: Crystal leaves the room he was in.\nStep 2: Michael moves the pencil case to the office's tv stand.\nStep 3: Crystal enters the office.\nStep 4: Michael moves to the pantry.\nStep 5: Crystal moves the nail file to the office's counter.\nStep 6: Crystal moves the pencil case to the office's counter.\nStep 7: Crystal moves to the pantry, and moves the nail file to the pantry's counter.\nStep 8: Michael moves to the office.\nStep 9: Crystal leaves the room he was in.\nStep 10: Michael moves the pencil case to the office's tv stand.\n\n[QUESTION]\nWhere does Michael believe the pencil case is?\n\n[YOUR ANSWER]","reference_output":"Michael's belief on the pencil case:\n- Step 0: (initial state) {Michael location: office; pencil case location: office's counter; Michael sees pencil case: True; Michael's belief on pencil case: office's counter}\n- Step 1: (Michael location unchanged; pencil case location unchanged) {Michael location: office; pencil case location: office's counter; Michael sees pencil case: True; Michael's belief on pencil case: office's counter}\n- Step 2: (Michael location unchanged; pencil case location changed) {Michael location: office; pencil case location: office's tv stand; Michael sees pencil case: True; Michael's belief on pencil case: office's tv stand}\n- Step 3: (Michael location unchanged; pencil case location unchanged) {Michael location: office; pencil case location: office's tv stand; Michael sees pencil case: True; Michael's belief on pencil case: office's tv stand}\n- Step 4: (Michael location changed; pencil case location unchanged) {Michael location: pantry; pencil case location: office's tv stand; Michael sees pencil case: False; Michael's belief on pencil case: office's tv stand}\n- Step 5: (Michael location unchanged; pencil case location unchanged) {Michael location: pantry; pencil case location: office's tv stand; Michael sees pencil case: False; Michael's belief on pencil case: office's tv stand}\n- Step 6: (Michael location unchanged; pencil case location changed) {Michael location: pantry; pencil case location: office's counter; Michael sees pencil case: False; Michael's belief on pencil case: office's tv stand}\n- Step 7: (Michael location unchanged; pencil case location unchanged) {Michael location: pantry; pencil case location: office's counter; Michael sees pencil case: False; Michael's belief on pencil case: office's tv stand}\n- Step 8: (Michael location changed; pencil case location unchanged) {Michael location: office; pencil case location: office's counter; Michael sees pencil case: True; Michael's belief on pencil case: office's counter}\n- Step 9: (Michael location unchanged; pencil case location unchanged) {Michael location: office; pencil case location: office's counter; Michael sees pencil case: True; Michael's belief on pencil case: office's counter}\n- Step 10: (Michael location unchanged; pencil case location changed) {Michael location: office; pencil case location: office's tv stand; Michael sees pencil case: True; Michael's belief on pencil case: office's tv stand}\nFinal Answer: the office's tv stand","item":{"question":"Where does Michael believe the pencil case is?","story_components":"Agents: [Crystal, Michael].\nObjects: [the nail file, the pencil case].\nRooms: [the pantry, the office].\nContainers: [the pantry's tv stand, the pantry's counter, the office's tv stand, the office's counter]"}}
+{"instance_id":"tom_tracking_0.5k_89","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Donna is in the basement; Gregory is in the office; the toothpick is on the basement's tray; the paper crane is on the basement's stand.\nStep 1: Donna moves the toothpick to the basement's stand.\nStep 2: Donna moves the paper crane to the basement's tray.\nStep 3: Donna moves to the office.\nStep 4: Gregory moves to the basement.\nStep 5: Gregory moves to the office, and moves the toothpick to the office's tray.\nStep 6: Gregory moves to the basement, and moves the toothpick to the basement's tray.\nStep 7: Donna moves to the basement.\nStep 8: Gregory moves to the office, and moves the paper crane to the office's tray.\nStep 9: Donna leaves the room he was in.\nStep 10: Gregory moves to the basement.\n\n[QUESTION]\nWhere does Donna believe the paper crane is?\n\n[YOUR ANSWER]","reference_output":"Donna's belief on the paper crane:\n- Step 0: (initial state) {Donna location: basement; paper crane location: basement's stand; Donna sees paper crane: True; Donna's belief on paper crane: basement's stand}\n- Step 1: (Donna location unchanged; paper crane location unchanged) {Donna location: basement; paper crane location: basement's stand; Donna sees paper crane: True; Donna's belief on paper crane: basement's stand}\n- Step 2: (Donna location unchanged; paper crane location changed) {Donna location: basement; paper crane location: basement's tray; Donna sees paper crane: True; Donna's belief on paper crane: basement's tray}\n- Step 3: (Donna location changed; paper crane location unchanged) {Donna location: office; paper crane location: basement's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 4: (Donna location unchanged; paper crane location unchanged) {Donna location: office; paper crane location: basement's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 5: (Donna location unchanged; paper crane location unchanged) {Donna location: office; paper crane location: basement's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 6: (Donna location unchanged; paper crane location unchanged) {Donna location: office; paper crane location: basement's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 7: (Donna location changed; paper crane location unchanged) {Donna location: basement; paper crane location: basement's tray; Donna sees paper crane: True; Donna's belief on paper crane: basement's tray}\n- Step 8: (Donna location unchanged; paper crane location changed) {Donna location: basement; paper crane location: office's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 9: (Donna location changed; paper crane location unchanged) {Donna location: None; paper crane location: office's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\n- Step 10: (Donna location unchanged; paper crane location unchanged) {Donna location: None; paper crane location: office's tray; Donna sees paper crane: False; Donna's belief on paper crane: basement's tray}\nFinal Answer: the basement's tray","item":{"question":"Where does Donna believe the paper crane is?","story_components":"Agents: [Donna, Gregory].\nObjects: [the toothpick, the paper crane].\nRooms: [the basement, the office].\nContainers: [the basement's stand, the basement's tray, the office's stand, the office's tray]"}}
+{"instance_id":"tom_tracking_0.5k_90","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Selena is in the kitchen; Danny is in the balcony; the coin purse is on the balcony's rack; the bookmark is on the kitchen's workbench.\nStep 1: Selena moves to the balcony.\nStep 2: Danny leaves the room he was in.\nStep 3: Selena moves to the kitchen.\nStep 4: Danny enters the kitchen.\nStep 5: Selena moves to the balcony, and moves the bookmark to the balcony's rack.\nStep 6: Danny moves to the balcony.\nStep 7: Selena moves to the kitchen, and moves the coin purse to the kitchen's workbench.\nStep 8: Danny leaves the room he was in.\nStep 9: Selena moves the coin purse to the kitchen's rack.\nStep 10: Danny enters the kitchen.\n\n[QUESTION]\nWhere does Danny believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Danny's belief on the bookmark:\n- Step 0: (initial state) {Danny location: balcony; bookmark location: kitchen's workbench; Danny sees bookmark: False; Danny's belief on bookmark: None}\n- Step 1: (Danny location unchanged; bookmark location unchanged) {Danny location: balcony; bookmark location: kitchen's workbench; Danny sees bookmark: False; Danny's belief on bookmark: None}\n- Step 2: (Danny location changed; bookmark location unchanged) {Danny location: None; bookmark location: kitchen's workbench; Danny sees bookmark: False; Danny's belief on bookmark: None}\n- Step 3: (Danny location unchanged; bookmark location unchanged) {Danny location: None; bookmark location: kitchen's workbench; Danny sees bookmark: False; Danny's belief on bookmark: None}\n- Step 4: (Danny location changed; bookmark location unchanged) {Danny location: kitchen; bookmark location: kitchen's workbench; Danny sees bookmark: True; Danny's belief on bookmark: kitchen's workbench}\n- Step 5: (Danny location unchanged; bookmark location changed) {Danny location: kitchen; bookmark location: balcony's rack; Danny sees bookmark: False; Danny's belief on bookmark: kitchen's workbench}\n- Step 6: (Danny location changed; bookmark location unchanged) {Danny location: balcony; bookmark location: balcony's rack; Danny sees bookmark: True; Danny's belief on bookmark: balcony's rack}\n- Step 7: (Danny location unchanged; bookmark location unchanged) {Danny location: balcony; bookmark location: balcony's rack; Danny sees bookmark: True; Danny's belief on bookmark: balcony's rack}\n- Step 8: (Danny location changed; bookmark location unchanged) {Danny location: None; bookmark location: balcony's rack; Danny sees bookmark: False; Danny's belief on bookmark: balcony's rack}\n- Step 9: (Danny location unchanged; bookmark location unchanged) {Danny location: None; bookmark location: balcony's rack; Danny sees bookmark: False; Danny's belief on bookmark: balcony's rack}\n- Step 10: (Danny location changed; bookmark location unchanged) {Danny location: kitchen; bookmark location: balcony's rack; Danny sees bookmark: False; Danny's belief on bookmark: balcony's rack}\nFinal Answer: the balcony's rack","item":{"question":"Where does Danny believe the bookmark is?","story_components":"Agents: [Selena, Danny].\nObjects: [the coin purse, the bookmark].\nRooms: [the kitchen, the balcony].\nContainers: [the kitchen's workbench, the kitchen's rack, the balcony's workbench, the balcony's rack]"}}
+{"instance_id":"tom_tracking_0.5k_91","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Tiffany is in the closet; Nicholas is in the closet; the orange is on the closet's pedestal; the sponge is on the basement's stand.\nStep 1: Tiffany moves to the basement.\nStep 2: Nicholas moves to the basement.\nStep 3: Tiffany moves the sponge to the basement's pedestal.\nStep 4: Nicholas moves to the closet, and moves the sponge to the closet's stand.\nStep 5: Nicholas moves to the basement, and moves the orange to the basement's stand.\nStep 6: Nicholas leaves the room he was in.\nStep 7: Tiffany moves to the closet, and moves the orange to the closet's pedestal.\nStep 8: Nicholas enters the basement.\nStep 9: Tiffany leaves the room he was in.\nStep 10: Nicholas moves to the closet.\n\n[QUESTION]\nWhere does Nicholas believe the orange is?\n\n[YOUR ANSWER]","reference_output":"Nicholas's belief on the orange:\n- Step 0: (initial state) {Nicholas location: closet; orange location: closet's pedestal; Nicholas sees orange: True; Nicholas's belief on orange: closet's pedestal}\n- Step 1: (Nicholas location unchanged; orange location unchanged) {Nicholas location: closet; orange location: closet's pedestal; Nicholas sees orange: True; Nicholas's belief on orange: closet's pedestal}\n- Step 2: (Nicholas location changed; orange location unchanged) {Nicholas location: basement; orange location: closet's pedestal; Nicholas sees orange: False; Nicholas's belief on orange: closet's pedestal}\n- Step 3: (Nicholas location unchanged; orange location unchanged) {Nicholas location: basement; orange location: closet's pedestal; Nicholas sees orange: False; Nicholas's belief on orange: closet's pedestal}\n- Step 4: (Nicholas location changed; orange location unchanged) {Nicholas location: closet; orange location: closet's pedestal; Nicholas sees orange: True; Nicholas's belief on orange: closet's pedestal}\n- Step 5: (Nicholas location changed; orange location changed) {Nicholas location: basement; orange location: basement's stand; Nicholas sees orange: True; Nicholas's belief on orange: basement's stand}\n- Step 6: (Nicholas location changed; orange location unchanged) {Nicholas location: None; orange location: basement's stand; Nicholas sees orange: False; Nicholas's belief on orange: basement's stand}\n- Step 7: (Nicholas location unchanged; orange location changed) {Nicholas location: None; orange location: closet's pedestal; Nicholas sees orange: False; Nicholas's belief on orange: basement's stand}\n- Step 8: (Nicholas location changed; orange location unchanged) {Nicholas location: basement; orange location: closet's pedestal; Nicholas sees orange: False; Nicholas's belief on orange: basement's stand}\n- Step 9: (Nicholas location unchanged; orange location unchanged) {Nicholas location: basement; orange location: closet's pedestal; Nicholas sees orange: False; Nicholas's belief on orange: basement's stand}\n- Step 10: (Nicholas location changed; orange location unchanged) {Nicholas location: closet; orange location: closet's pedestal; Nicholas sees orange: True; Nicholas's belief on orange: closet's pedestal}\nFinal Answer: the closet's pedestal","item":{"question":"Where does Nicholas believe the orange is?","story_components":"Agents: [Tiffany, Nicholas].\nObjects: [the orange, the sponge].\nRooms: [the closet, the basement].\nContainers: [the closet's pedestal, the closet's stand, the basement's pedestal, the basement's stand]"}}
+{"instance_id":"tom_tracking_0.5k_92","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Dennis is in the home theater; Kristin is in the home theater; the bookmark is on the lounge's podium; the puzzle piece is on the lounge's podium.\nStep 1: Dennis moves to the lounge.\nStep 2: Kristin moves to the lounge.\nStep 3: Dennis moves the puzzle piece to the lounge's desk.\nStep 4: Kristin moves to the home theater.\nStep 5: Dennis moves the bookmark to the lounge's desk.\nStep 6: Kristin moves to the lounge.\nStep 7: Dennis moves the puzzle piece to the lounge's podium.\nStep 8: Kristin moves the bookmark to the lounge's podium.\nStep 9: Dennis moves the puzzle piece to the lounge's desk.\nStep 10: Kristin moves to the home theater.\n\n[QUESTION]\nWhere does Kristin believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Kristin's belief on the bookmark:\n- Step 0: (initial state) {Kristin location: home theater; bookmark location: lounge's podium; Kristin sees bookmark: False; Kristin's belief on bookmark: None}\n- Step 1: (Kristin location unchanged; bookmark location unchanged) {Kristin location: home theater; bookmark location: lounge's podium; Kristin sees bookmark: False; Kristin's belief on bookmark: None}\n- Step 2: (Kristin location changed; bookmark location unchanged) {Kristin location: lounge; bookmark location: lounge's podium; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's podium}\n- Step 3: (Kristin location unchanged; bookmark location unchanged) {Kristin location: lounge; bookmark location: lounge's podium; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's podium}\n- Step 4: (Kristin location changed; bookmark location unchanged) {Kristin location: home theater; bookmark location: lounge's podium; Kristin sees bookmark: False; Kristin's belief on bookmark: lounge's podium}\n- Step 5: (Kristin location unchanged; bookmark location changed) {Kristin location: home theater; bookmark location: lounge's desk; Kristin sees bookmark: False; Kristin's belief on bookmark: lounge's podium}\n- Step 6: (Kristin location changed; bookmark location unchanged) {Kristin location: lounge; bookmark location: lounge's desk; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's desk}\n- Step 7: (Kristin location unchanged; bookmark location unchanged) {Kristin location: lounge; bookmark location: lounge's desk; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's desk}\n- Step 8: (Kristin location unchanged; bookmark location changed) {Kristin location: lounge; bookmark location: lounge's podium; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's podium}\n- Step 9: (Kristin location unchanged; bookmark location unchanged) {Kristin location: lounge; bookmark location: lounge's podium; Kristin sees bookmark: True; Kristin's belief on bookmark: lounge's podium}\n- Step 10: (Kristin location changed; bookmark location unchanged) {Kristin location: home theater; bookmark location: lounge's podium; Kristin sees bookmark: False; Kristin's belief on bookmark: lounge's podium}\nFinal Answer: the lounge's podium","item":{"question":"Where does Kristin believe the bookmark is?","story_components":"Agents: [Dennis, Kristin].\nObjects: [the bookmark, the puzzle piece].\nRooms: [the lounge, the home theater].\nContainers: [the lounge's podium, the lounge's desk, the home theater's podium, the home theater's desk]"}}
+{"instance_id":"tom_tracking_0.5k_93","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Molly is in the garage; Rebecca is in the garage; the coin purse is on the nursery's counter; the nail clipper is on the nursery's counter.\nStep 1: Molly moves to the nursery.\nStep 2: Rebecca moves to the nursery.\nStep 3: Molly moves the nail clipper to the nursery's stool.\nStep 4: Rebecca moves to the garage.\nStep 5: Molly moves to the garage.\nStep 6: Rebecca moves to the nursery.\nStep 7: Rebecca leaves the room he was in.\nStep 8: Rebecca enters the nursery.\nStep 9: Rebecca moves to the garage.\nStep 10: Rebecca moves to the nursery.\n\n[QUESTION]\nWhere does Rebecca believe the nail clipper is?\n\n[YOUR ANSWER]","reference_output":"Rebecca's belief on the nail clipper:\n- Step 0: (initial state) {Rebecca location: garage; nail clipper location: nursery's counter; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: None}\n- Step 1: (Rebecca location unchanged; nail clipper location unchanged) {Rebecca location: garage; nail clipper location: nursery's counter; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: None}\n- Step 2: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: nursery; nail clipper location: nursery's counter; Rebecca sees nail clipper: True; Rebecca's belief on nail clipper: nursery's counter}\n- Step 3: (Rebecca location unchanged; nail clipper location changed) {Rebecca location: nursery; nail clipper location: nursery's stool; Rebecca sees nail clipper: True; Rebecca's belief on nail clipper: nursery's stool}\n- Step 4: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: garage; nail clipper location: nursery's stool; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: nursery's stool}\n- Step 5: (Rebecca location unchanged; nail clipper location unchanged) {Rebecca location: garage; nail clipper location: nursery's stool; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: nursery's stool}\n- Step 6: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: nursery; nail clipper location: nursery's stool; Rebecca sees nail clipper: True; Rebecca's belief on nail clipper: nursery's stool}\n- Step 7: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: None; nail clipper location: nursery's stool; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: nursery's stool}\n- Step 8: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: nursery; nail clipper location: nursery's stool; Rebecca sees nail clipper: True; Rebecca's belief on nail clipper: nursery's stool}\n- Step 9: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: garage; nail clipper location: nursery's stool; Rebecca sees nail clipper: False; Rebecca's belief on nail clipper: nursery's stool}\n- Step 10: (Rebecca location changed; nail clipper location unchanged) {Rebecca location: nursery; nail clipper location: nursery's stool; Rebecca sees nail clipper: True; Rebecca's belief on nail clipper: nursery's stool}\nFinal Answer: the nursery's stool","item":{"question":"Where does Rebecca believe the nail clipper is?","story_components":"Agents: [Molly, Rebecca].\nObjects: [the coin purse, the nail clipper].\nRooms: [the garage, the nursery].\nContainers: [the garage's stool, the garage's counter, the nursery's stool, the nursery's counter]"}}
+{"instance_id":"tom_tracking_0.5k_94","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Ebony is in the home theater; Erin is in the balcony; the flashlight is on the balcony's bistro table; the tweezers is on the home theater's counter.\nStep 1: Ebony moves to the balcony.\nStep 2: Erin leaves the room he was in.\nStep 3: Ebony moves to the home theater.\nStep 4: Erin enters the balcony.\nStep 5: Ebony moves the tweezers to the home theater's bistro table.\nStep 6: Erin leaves the room he was in.\nStep 7: Ebony moves to the balcony, and moves the tweezers to the balcony's counter.\nStep 8: Erin enters the balcony.\nStep 9: Ebony moves to the home theater.\nStep 10: Erin leaves the room he was in.\n\n[QUESTION]\nWhere does Erin believe the tweezers is?\n\n[YOUR ANSWER]","reference_output":"Erin's belief on the tweezers:\n- Step 0: (initial state) {Erin location: balcony; tweezers location: home theater's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 1: (Erin location unchanged; tweezers location unchanged) {Erin location: balcony; tweezers location: home theater's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 2: (Erin location changed; tweezers location unchanged) {Erin location: None; tweezers location: home theater's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 3: (Erin location unchanged; tweezers location unchanged) {Erin location: None; tweezers location: home theater's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 4: (Erin location changed; tweezers location unchanged) {Erin location: balcony; tweezers location: home theater's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 5: (Erin location unchanged; tweezers location changed) {Erin location: balcony; tweezers location: home theater's bistro table; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 6: (Erin location changed; tweezers location unchanged) {Erin location: None; tweezers location: home theater's bistro table; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 7: (Erin location unchanged; tweezers location changed) {Erin location: None; tweezers location: balcony's counter; Erin sees tweezers: False; Erin's belief on tweezers: None}\n- Step 8: (Erin location changed; tweezers location unchanged) {Erin location: balcony; tweezers location: balcony's counter; Erin sees tweezers: True; Erin's belief on tweezers: balcony's counter}\n- Step 9: (Erin location unchanged; tweezers location unchanged) {Erin location: balcony; tweezers location: balcony's counter; Erin sees tweezers: True; Erin's belief on tweezers: balcony's counter}\n- Step 10: (Erin location changed; tweezers location unchanged) {Erin location: None; tweezers location: balcony's counter; Erin sees tweezers: False; Erin's belief on tweezers: balcony's counter}\nFinal Answer: the balcony's counter","item":{"question":"Where does Erin believe the tweezers is?","story_components":"Agents: [Ebony, Erin].\nObjects: [the flashlight, the tweezers].\nRooms: [the home theater, the balcony].\nContainers: [the home theater's bistro table, the home theater's counter, the balcony's bistro table, the balcony's counter]"}}
+{"instance_id":"tom_tracking_0.5k_95","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Leon is in the home theater; Aaron is in the home theater; the key fob is on the sunroom's tv stand; the battery is on the sunroom's pedestal.\nStep 1: Leon moves to the sunroom.\nStep 2: Leon moves the battery to the sunroom's tv stand.\nStep 3: Leon moves to the home theater, and moves the key fob to the home theater's pedestal.\nStep 4: Aaron moves to the sunroom, and moves the key fob to the sunroom's tv stand.\nStep 5: Leon moves to the sunroom.\nStep 6: Aaron moves to the home theater.\nStep 7: Leon moves to the home theater, and moves the battery to the home theater's pedestal.\nStep 8: Aaron moves the battery to the home theater's tv stand.\nStep 9: Leon leaves the room he was in.\nStep 10: Aaron moves to the sunroom, and moves the battery to the sunroom's pedestal.\n\n[QUESTION]\nWhere does Leon believe the battery is?\n\n[YOUR ANSWER]","reference_output":"Leon's belief on the battery:\n- Step 0: (initial state) {Leon location: home theater; battery location: sunroom's pedestal; Leon sees battery: False; Leon's belief on battery: None}\n- Step 1: (Leon location changed; battery location unchanged) {Leon location: sunroom; battery location: sunroom's pedestal; Leon sees battery: True; Leon's belief on battery: sunroom's pedestal}\n- Step 2: (Leon location unchanged; battery location changed) {Leon location: sunroom; battery location: sunroom's tv stand; Leon sees battery: True; Leon's belief on battery: sunroom's tv stand}\n- Step 3: (Leon location changed; battery location unchanged) {Leon location: home theater; battery location: sunroom's tv stand; Leon sees battery: False; Leon's belief on battery: sunroom's tv stand}\n- Step 4: (Leon location unchanged; battery location unchanged) {Leon location: home theater; battery location: sunroom's tv stand; Leon sees battery: False; Leon's belief on battery: sunroom's tv stand}\n- Step 5: (Leon location changed; battery location unchanged) {Leon location: sunroom; battery location: sunroom's tv stand; Leon sees battery: True; Leon's belief on battery: sunroom's tv stand}\n- Step 6: (Leon location unchanged; battery location unchanged) {Leon location: sunroom; battery location: sunroom's tv stand; Leon sees battery: True; Leon's belief on battery: sunroom's tv stand}\n- Step 7: (Leon location changed; battery location changed) {Leon location: home theater; battery location: home theater's pedestal; Leon sees battery: True; Leon's belief on battery: home theater's pedestal}\n- Step 8: (Leon location unchanged; battery location changed) {Leon location: home theater; battery location: home theater's tv stand; Leon sees battery: True; Leon's belief on battery: home theater's tv stand}\n- Step 9: (Leon location changed; battery location unchanged) {Leon location: None; battery location: home theater's tv stand; Leon sees battery: False; Leon's belief on battery: home theater's tv stand}\n- Step 10: (Leon location unchanged; battery location changed) {Leon location: None; battery location: sunroom's pedestal; Leon sees battery: False; Leon's belief on battery: home theater's tv stand}\nFinal Answer: the home theater's tv stand","item":{"question":"Where does Leon believe the battery is?","story_components":"Agents: [Leon, Aaron].\nObjects: [the key fob, the battery].\nRooms: [the home theater, the sunroom].\nContainers: [the home theater's tv stand, the home theater's pedestal, the sunroom's tv stand, the sunroom's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_96","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jesus is in the guest room; Leon is in the basement; the nail clipper is on the basement's ledge; the pencil sharpener is on the guest room's ledge.\nStep 1: Jesus moves to the basement.\nStep 2: Leon moves to the guest room, and moves the nail clipper to the guest room's bistro table.\nStep 3: Jesus moves to the guest room.\nStep 4: Leon leaves the room he was in.\nStep 5: Jesus moves the pencil sharpener to the guest room's bistro table.\nStep 6: Leon enters the guest room.\nStep 7: Jesus leaves the room he was in.\nStep 8: Leon leaves the room he was in.\nStep 9: Jesus enters the basement.\nStep 10: Leon enters the basement.\n\n[QUESTION]\nWhere does Leon believe the pencil sharpener is?\n\n[YOUR ANSWER]","reference_output":"Leon's belief on the pencil sharpener:\n- Step 0: (initial state) {Leon location: basement; pencil sharpener location: guest room's ledge; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: None}\n- Step 1: (Leon location unchanged; pencil sharpener location unchanged) {Leon location: basement; pencil sharpener location: guest room's ledge; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: None}\n- Step 2: (Leon location changed; pencil sharpener location unchanged) {Leon location: guest room; pencil sharpener location: guest room's ledge; Leon sees pencil sharpener: True; Leon's belief on pencil sharpener: guest room's ledge}\n- Step 3: (Leon location unchanged; pencil sharpener location unchanged) {Leon location: guest room; pencil sharpener location: guest room's ledge; Leon sees pencil sharpener: True; Leon's belief on pencil sharpener: guest room's ledge}\n- Step 4: (Leon location changed; pencil sharpener location unchanged) {Leon location: None; pencil sharpener location: guest room's ledge; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: guest room's ledge}\n- Step 5: (Leon location unchanged; pencil sharpener location changed) {Leon location: None; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: guest room's ledge}\n- Step 6: (Leon location changed; pencil sharpener location unchanged) {Leon location: guest room; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: True; Leon's belief on pencil sharpener: guest room's bistro table}\n- Step 7: (Leon location unchanged; pencil sharpener location unchanged) {Leon location: guest room; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: True; Leon's belief on pencil sharpener: guest room's bistro table}\n- Step 8: (Leon location changed; pencil sharpener location unchanged) {Leon location: None; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: guest room's bistro table}\n- Step 9: (Leon location unchanged; pencil sharpener location unchanged) {Leon location: None; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: guest room's bistro table}\n- Step 10: (Leon location changed; pencil sharpener location unchanged) {Leon location: basement; pencil sharpener location: guest room's bistro table; Leon sees pencil sharpener: False; Leon's belief on pencil sharpener: guest room's bistro table}\nFinal Answer: the guest room's bistro table","item":{"question":"Where does Leon believe the pencil sharpener is?","story_components":"Agents: [Jesus, Leon].\nObjects: [the nail clipper, the pencil sharpener].\nRooms: [the basement, the guest room].\nContainers: [the basement's bistro table, the basement's ledge, the guest room's bistro table, the guest room's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_97","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Gregory is in the sauna; Michael is in the living room; the eyeglass cloth is on the living room's shelf; the magnet is on the living room's pedestal.\nStep 1: Gregory moves to the living room.\nStep 2: Michael moves the eyeglass cloth to the living room's pedestal.\nStep 3: Gregory moves to the sauna.\nStep 4: Michael moves the magnet to the living room's shelf.\nStep 5: Gregory moves to the living room.\nStep 6: Michael moves to the sauna, and moves the magnet to the sauna's shelf.\nStep 7: Gregory moves the eyeglass cloth to the living room's shelf.\nStep 8: Michael leaves the room he was in.\nStep 9: Gregory moves the eyeglass cloth to the living room's pedestal.\nStep 10: Michael enters the sauna.\n\n[QUESTION]\nWhere does Gregory believe the eyeglass cloth is?\n\n[YOUR ANSWER]","reference_output":"Gregory's belief on the eyeglass cloth:\n- Step 0: (initial state) {Gregory location: sauna; eyeglass cloth location: living room's shelf; Gregory sees eyeglass cloth: False; Gregory's belief on eyeglass cloth: None}\n- Step 1: (Gregory location changed; eyeglass cloth location unchanged) {Gregory location: living room; eyeglass cloth location: living room's shelf; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's shelf}\n- Step 2: (Gregory location unchanged; eyeglass cloth location changed) {Gregory location: living room; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 3: (Gregory location changed; eyeglass cloth location unchanged) {Gregory location: sauna; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: False; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 4: (Gregory location unchanged; eyeglass cloth location unchanged) {Gregory location: sauna; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: False; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 5: (Gregory location changed; eyeglass cloth location unchanged) {Gregory location: living room; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 6: (Gregory location unchanged; eyeglass cloth location unchanged) {Gregory location: living room; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 7: (Gregory location unchanged; eyeglass cloth location changed) {Gregory location: living room; eyeglass cloth location: living room's shelf; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's shelf}\n- Step 8: (Gregory location unchanged; eyeglass cloth location unchanged) {Gregory location: living room; eyeglass cloth location: living room's shelf; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's shelf}\n- Step 9: (Gregory location unchanged; eyeglass cloth location changed) {Gregory location: living room; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's pedestal}\n- Step 10: (Gregory location unchanged; eyeglass cloth location unchanged) {Gregory location: living room; eyeglass cloth location: living room's pedestal; Gregory sees eyeglass cloth: True; Gregory's belief on eyeglass cloth: living room's pedestal}\nFinal Answer: the living room's pedestal","item":{"question":"Where does Gregory believe the eyeglass cloth is?","story_components":"Agents: [Gregory, Michael].\nObjects: [the eyeglass cloth, the magnet].\nRooms: [the living room, the sauna].\nContainers: [the living room's shelf, the living room's pedestal, the sauna's shelf, the sauna's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_98","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kristin is in the home theater; Patricia is in the home theater; the rubber band is on the storage room's cabinet top; the USB cable is on the storage room's tray.\nStep 1: Kristin moves to the storage room.\nStep 2: Kristin moves to the home theater.\nStep 3: Kristin moves to the storage room.\nStep 4: Patricia moves to the storage room.\nStep 5: Kristin moves to the home theater.\nStep 6: Patricia leaves the room he was in.\nStep 7: Kristin moves to the storage room.\nStep 8: Patricia enters the storage room.\nStep 9: Kristin moves to the home theater.\nStep 10: Patricia moves to the home theater, and moves the USB cable to the home theater's cabinet top.\n\n[QUESTION]\nWhere does Patricia believe the rubber band is?\n\n[YOUR ANSWER]","reference_output":"Patricia's belief on the rubber band:\n- Step 0: (initial state) {Patricia location: home theater; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: None}\n- Step 1: (Patricia location unchanged; rubber band location unchanged) {Patricia location: home theater; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: None}\n- Step 2: (Patricia location unchanged; rubber band location unchanged) {Patricia location: home theater; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: None}\n- Step 3: (Patricia location unchanged; rubber band location unchanged) {Patricia location: home theater; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: None}\n- Step 4: (Patricia location changed; rubber band location unchanged) {Patricia location: storage room; rubber band location: storage room's cabinet top; Patricia sees rubber band: True; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 5: (Patricia location unchanged; rubber band location unchanged) {Patricia location: storage room; rubber band location: storage room's cabinet top; Patricia sees rubber band: True; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 6: (Patricia location changed; rubber band location unchanged) {Patricia location: None; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 7: (Patricia location unchanged; rubber band location unchanged) {Patricia location: None; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 8: (Patricia location changed; rubber band location unchanged) {Patricia location: storage room; rubber band location: storage room's cabinet top; Patricia sees rubber band: True; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 9: (Patricia location unchanged; rubber band location unchanged) {Patricia location: storage room; rubber band location: storage room's cabinet top; Patricia sees rubber band: True; Patricia's belief on rubber band: storage room's cabinet top}\n- Step 10: (Patricia location changed; rubber band location unchanged) {Patricia location: home theater; rubber band location: storage room's cabinet top; Patricia sees rubber band: False; Patricia's belief on rubber band: storage room's cabinet top}\nFinal Answer: the storage room's cabinet top","item":{"question":"Where does Patricia believe the rubber band is?","story_components":"Agents: [Kristin, Patricia].\nObjects: [the rubber band, the USB cable].\nRooms: [the home theater, the storage room].\nContainers: [the home theater's cabinet top, the home theater's tray, the storage room's cabinet top, the storage room's tray]"}}
+{"instance_id":"tom_tracking_0.5k_99","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mark is in the balcony; William is in the living room; the pocket mirror is on the balcony's credenza; the ring is on the balcony's desk.\nStep 1: Mark moves to the living room.\nStep 2: William moves to the balcony.\nStep 3: William moves to the living room, and moves the ring to the living room's credenza.\nStep 4: William moves to the balcony.\nStep 5: Mark moves the ring to the living room's desk.\nStep 6: William moves to the living room.\nStep 7: Mark moves to the balcony.\nStep 8: William leaves the room he was in.\nStep 9: Mark moves the pocket mirror to the balcony's desk.\nStep 10: William enters the living room.\n\n[QUESTION]\nWhere does Mark believe the pocket mirror is?\n\n[YOUR ANSWER]","reference_output":"Mark's belief on the pocket mirror:\n- Step 0: (initial state) {Mark location: balcony; pocket mirror location: balcony's credenza; Mark sees pocket mirror: True; Mark's belief on pocket mirror: balcony's credenza}\n- Step 1: (Mark location changed; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 2: (Mark location unchanged; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 3: (Mark location unchanged; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 4: (Mark location unchanged; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 5: (Mark location unchanged; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 6: (Mark location unchanged; pocket mirror location unchanged) {Mark location: living room; pocket mirror location: balcony's credenza; Mark sees pocket mirror: False; Mark's belief on pocket mirror: balcony's credenza}\n- Step 7: (Mark location changed; pocket mirror location unchanged) {Mark location: balcony; pocket mirror location: balcony's credenza; Mark sees pocket mirror: True; Mark's belief on pocket mirror: balcony's credenza}\n- Step 8: (Mark location unchanged; pocket mirror location unchanged) {Mark location: balcony; pocket mirror location: balcony's credenza; Mark sees pocket mirror: True; Mark's belief on pocket mirror: balcony's credenza}\n- Step 9: (Mark location unchanged; pocket mirror location changed) {Mark location: balcony; pocket mirror location: balcony's desk; Mark sees pocket mirror: True; Mark's belief on pocket mirror: balcony's desk}\n- Step 10: (Mark location unchanged; pocket mirror location unchanged) {Mark location: balcony; pocket mirror location: balcony's desk; Mark sees pocket mirror: True; Mark's belief on pocket mirror: balcony's desk}\nFinal Answer: the balcony's desk","item":{"question":"Where does Mark believe the pocket mirror is?","story_components":"Agents: [Mark, William].\nObjects: [the pocket mirror, the ring].\nRooms: [the balcony, the living room].\nContainers: [the balcony's desk, the balcony's credenza, the living room's desk, the living room's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_100","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mitchell is in the garage; Emily is in the garage; the ring is on the garage's tray; the bookmark is on the garage's pallet.\nStep 1: Mitchell moves to the playroom, and moves the ring to the playroom's pallet.\nStep 2: Emily moves the bookmark to the garage's tray.\nStep 3: Mitchell leaves the room he was in.\nStep 4: Emily moves to the playroom.\nStep 5: Mitchell enters the playroom.\nStep 6: Emily moves to the garage.\nStep 7: Mitchell moves to the garage.\nStep 8: Emily moves to the playroom, and moves the bookmark to the playroom's tray.\nStep 9: Emily moves to the garage.\nStep 10: Emily moves to the playroom.\n\n[QUESTION]\nWhere does Mitchell believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Mitchell's belief on the bookmark:\n- Step 0: (initial state) {Mitchell location: garage; bookmark location: garage's pallet; Mitchell sees bookmark: True; Mitchell's belief on bookmark: garage's pallet}\n- Step 1: (Mitchell location changed; bookmark location unchanged) {Mitchell location: playroom; bookmark location: garage's pallet; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 2: (Mitchell location unchanged; bookmark location changed) {Mitchell location: playroom; bookmark location: garage's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 3: (Mitchell location changed; bookmark location unchanged) {Mitchell location: None; bookmark location: garage's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 4: (Mitchell location unchanged; bookmark location unchanged) {Mitchell location: None; bookmark location: garage's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 5: (Mitchell location changed; bookmark location unchanged) {Mitchell location: playroom; bookmark location: garage's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 6: (Mitchell location unchanged; bookmark location unchanged) {Mitchell location: playroom; bookmark location: garage's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's pallet}\n- Step 7: (Mitchell location changed; bookmark location unchanged) {Mitchell location: garage; bookmark location: garage's tray; Mitchell sees bookmark: True; Mitchell's belief on bookmark: garage's tray}\n- Step 8: (Mitchell location unchanged; bookmark location changed) {Mitchell location: garage; bookmark location: playroom's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's tray}\n- Step 9: (Mitchell location unchanged; bookmark location unchanged) {Mitchell location: garage; bookmark location: playroom's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's tray}\n- Step 10: (Mitchell location unchanged; bookmark location unchanged) {Mitchell location: garage; bookmark location: playroom's tray; Mitchell sees bookmark: False; Mitchell's belief on bookmark: garage's tray}\nFinal Answer: the garage's tray","item":{"question":"Where does Mitchell believe the bookmark is?","story_components":"Agents: [Mitchell, Emily].\nObjects: [the ring, the bookmark].\nRooms: [the playroom, the garage].\nContainers: [the playroom's tray, the playroom's pallet, the garage's tray, the garage's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_101","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Holly is in the hallway; Stacey is in the basement; the toy car is on the basement's rack; the eraser cap is on the basement's pedestal.\nStep 1: Holly moves to the basement.\nStep 2: Stacey moves to the hallway.\nStep 3: Holly moves to the hallway.\nStep 4: Stacey moves to the basement.\nStep 5: Holly moves to the basement.\nStep 6: Stacey moves the eraser cap to the basement's rack.\nStep 7: Holly leaves the room he was in.\nStep 8: Stacey moves to the hallway.\nStep 9: Holly enters the hallway.\nStep 10: Stacey moves to the basement.\n\n[QUESTION]\nWhere does Stacey believe the eraser cap is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the eraser cap:\n- Step 0: (initial state) {Stacey location: basement; eraser cap location: basement's pedestal; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's pedestal}\n- Step 1: (Stacey location unchanged; eraser cap location unchanged) {Stacey location: basement; eraser cap location: basement's pedestal; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's pedestal}\n- Step 2: (Stacey location changed; eraser cap location unchanged) {Stacey location: hallway; eraser cap location: basement's pedestal; Stacey sees eraser cap: False; Stacey's belief on eraser cap: basement's pedestal}\n- Step 3: (Stacey location unchanged; eraser cap location unchanged) {Stacey location: hallway; eraser cap location: basement's pedestal; Stacey sees eraser cap: False; Stacey's belief on eraser cap: basement's pedestal}\n- Step 4: (Stacey location changed; eraser cap location unchanged) {Stacey location: basement; eraser cap location: basement's pedestal; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's pedestal}\n- Step 5: (Stacey location unchanged; eraser cap location unchanged) {Stacey location: basement; eraser cap location: basement's pedestal; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's pedestal}\n- Step 6: (Stacey location unchanged; eraser cap location changed) {Stacey location: basement; eraser cap location: basement's rack; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's rack}\n- Step 7: (Stacey location unchanged; eraser cap location unchanged) {Stacey location: basement; eraser cap location: basement's rack; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's rack}\n- Step 8: (Stacey location changed; eraser cap location unchanged) {Stacey location: hallway; eraser cap location: basement's rack; Stacey sees eraser cap: False; Stacey's belief on eraser cap: basement's rack}\n- Step 9: (Stacey location unchanged; eraser cap location unchanged) {Stacey location: hallway; eraser cap location: basement's rack; Stacey sees eraser cap: False; Stacey's belief on eraser cap: basement's rack}\n- Step 10: (Stacey location changed; eraser cap location unchanged) {Stacey location: basement; eraser cap location: basement's rack; Stacey sees eraser cap: True; Stacey's belief on eraser cap: basement's rack}\nFinal Answer: the basement's rack","item":{"question":"Where does Stacey believe the eraser cap is?","story_components":"Agents: [Holly, Stacey].\nObjects: [the toy car, the eraser cap].\nRooms: [the basement, the hallway].\nContainers: [the basement's rack, the basement's pedestal, the hallway's rack, the hallway's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_102","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Sean is in the living room; Crystal is in the garage; the glasses is on the living room's table; the pen is on the living room's shelf.\nStep 1: Sean moves to the garage, and moves the pen to the garage's table.\nStep 2: Crystal leaves the room he was in.\nStep 3: Sean moves to the living room, and moves the pen to the living room's table.\nStep 4: Crystal enters the living room.\nStep 5: Sean moves the glasses to the living room's shelf.\nStep 6: Crystal moves to the garage, and moves the glasses to the garage's shelf.\nStep 7: Sean moves to the garage, and moves the pen to the garage's shelf.\nStep 8: Crystal moves to the living room, and moves the glasses to the living room's table.\nStep 9: Sean moves to the living room, and moves the pen to the living room's shelf.\nStep 10: Crystal moves to the garage.\n\n[QUESTION]\nWhere does Sean believe the pen is?\n\n[YOUR ANSWER]","reference_output":"Sean's belief on the pen:\n- Step 0: (initial state) {Sean location: living room; pen location: living room's shelf; Sean sees pen: True; Sean's belief on pen: living room's shelf}\n- Step 1: (Sean location changed; pen location changed) {Sean location: garage; pen location: garage's table; Sean sees pen: True; Sean's belief on pen: garage's table}\n- Step 2: (Sean location unchanged; pen location unchanged) {Sean location: garage; pen location: garage's table; Sean sees pen: True; Sean's belief on pen: garage's table}\n- Step 3: (Sean location changed; pen location changed) {Sean location: living room; pen location: living room's table; Sean sees pen: True; Sean's belief on pen: living room's table}\n- Step 4: (Sean location unchanged; pen location unchanged) {Sean location: living room; pen location: living room's table; Sean sees pen: True; Sean's belief on pen: living room's table}\n- Step 5: (Sean location unchanged; pen location unchanged) {Sean location: living room; pen location: living room's table; Sean sees pen: True; Sean's belief on pen: living room's table}\n- Step 6: (Sean location unchanged; pen location unchanged) {Sean location: living room; pen location: living room's table; Sean sees pen: True; Sean's belief on pen: living room's table}\n- Step 7: (Sean location changed; pen location changed) {Sean location: garage; pen location: garage's shelf; Sean sees pen: True; Sean's belief on pen: garage's shelf}\n- Step 8: (Sean location unchanged; pen location unchanged) {Sean location: garage; pen location: garage's shelf; Sean sees pen: True; Sean's belief on pen: garage's shelf}\n- Step 9: (Sean location changed; pen location changed) {Sean location: living room; pen location: living room's shelf; Sean sees pen: True; Sean's belief on pen: living room's shelf}\n- Step 10: (Sean location unchanged; pen location unchanged) {Sean location: living room; pen location: living room's shelf; Sean sees pen: True; Sean's belief on pen: living room's shelf}\nFinal Answer: the living room's shelf","item":{"question":"Where does Sean believe the pen is?","story_components":"Agents: [Sean, Crystal].\nObjects: [the glasses, the pen].\nRooms: [the garage, the living room].\nContainers: [the garage's table, the garage's shelf, the living room's table, the living room's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_103","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Caroline is in the guest room; Donald is in the sauna; the key is on the guest room's coffee table; the chewing gum is on the sauna's shelf.\nStep 1: Caroline leaves the room he was in.\nStep 2: Donald moves to the guest room, and moves the chewing gum to the guest room's coffee table.\nStep 3: Caroline enters the sauna.\nStep 4: Donald moves to the sauna, and moves the key to the sauna's coffee table.\nStep 5: Caroline moves to the guest room, and moves the key to the guest room's shelf.\nStep 6: Donald moves to the guest room.\nStep 7: Caroline moves to the sauna.\nStep 8: Donald moves to the sauna.\nStep 9: Caroline moves to the guest room.\nStep 10: Donald moves to the guest room.\n\n[QUESTION]\nWhere does Donald believe the key is?\n\n[YOUR ANSWER]","reference_output":"Donald's belief on the key:\n- Step 0: (initial state) {Donald location: sauna; key location: guest room's coffee table; Donald sees key: False; Donald's belief on key: None}\n- Step 1: (Donald location unchanged; key location unchanged) {Donald location: sauna; key location: guest room's coffee table; Donald sees key: False; Donald's belief on key: None}\n- Step 2: (Donald location changed; key location unchanged) {Donald location: guest room; key location: guest room's coffee table; Donald sees key: True; Donald's belief on key: guest room's coffee table}\n- Step 3: (Donald location unchanged; key location unchanged) {Donald location: guest room; key location: guest room's coffee table; Donald sees key: True; Donald's belief on key: guest room's coffee table}\n- Step 4: (Donald location changed; key location changed) {Donald location: sauna; key location: sauna's coffee table; Donald sees key: True; Donald's belief on key: sauna's coffee table}\n- Step 5: (Donald location unchanged; key location changed) {Donald location: sauna; key location: guest room's shelf; Donald sees key: False; Donald's belief on key: sauna's coffee table}\n- Step 6: (Donald location changed; key location unchanged) {Donald location: guest room; key location: guest room's shelf; Donald sees key: True; Donald's belief on key: guest room's shelf}\n- Step 7: (Donald location unchanged; key location unchanged) {Donald location: guest room; key location: guest room's shelf; Donald sees key: True; Donald's belief on key: guest room's shelf}\n- Step 8: (Donald location changed; key location unchanged) {Donald location: sauna; key location: guest room's shelf; Donald sees key: False; Donald's belief on key: guest room's shelf}\n- Step 9: (Donald location unchanged; key location unchanged) {Donald location: sauna; key location: guest room's shelf; Donald sees key: False; Donald's belief on key: guest room's shelf}\n- Step 10: (Donald location changed; key location unchanged) {Donald location: guest room; key location: guest room's shelf; Donald sees key: True; Donald's belief on key: guest room's shelf}\nFinal Answer: the guest room's shelf","item":{"question":"Where does Donald believe the key is?","story_components":"Agents: [Caroline, Donald].\nObjects: [the key, the chewing gum].\nRooms: [the sauna, the guest room].\nContainers: [the sauna's shelf, the sauna's coffee table, the guest room's shelf, the guest room's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_104","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Holly is in the storage room; Crystal is in the storage room; the mini comb is on the storage room's buffet; the USB cable is on the mudroom's buffet.\nStep 1: Holly moves to the mudroom.\nStep 2: Crystal leaves the room he was in.\nStep 3: Holly moves to the storage room.\nStep 4: Crystal enters the storage room.\nStep 5: Holly moves to the mudroom, and moves the mini comb to the mudroom's buffet.\nStep 6: Holly moves to the storage room.\nStep 7: Holly moves to the mudroom.\nStep 8: Crystal moves to the mudroom.\nStep 9: Holly moves to the storage room, and moves the USB cable to the storage room's buffet.\nStep 10: Crystal moves to the storage room.\n\n[QUESTION]\nWhere does Crystal believe the mini comb is?\n\n[YOUR ANSWER]","reference_output":"Crystal's belief on the mini comb:\n- Step 0: (initial state) {Crystal location: storage room; mini comb location: storage room's buffet; Crystal sees mini comb: True; Crystal's belief on mini comb: storage room's buffet}\n- Step 1: (Crystal location unchanged; mini comb location unchanged) {Crystal location: storage room; mini comb location: storage room's buffet; Crystal sees mini comb: True; Crystal's belief on mini comb: storage room's buffet}\n- Step 2: (Crystal location changed; mini comb location unchanged) {Crystal location: None; mini comb location: storage room's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: storage room's buffet}\n- Step 3: (Crystal location unchanged; mini comb location unchanged) {Crystal location: None; mini comb location: storage room's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: storage room's buffet}\n- Step 4: (Crystal location changed; mini comb location unchanged) {Crystal location: storage room; mini comb location: storage room's buffet; Crystal sees mini comb: True; Crystal's belief on mini comb: storage room's buffet}\n- Step 5: (Crystal location unchanged; mini comb location changed) {Crystal location: storage room; mini comb location: mudroom's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: storage room's buffet}\n- Step 6: (Crystal location unchanged; mini comb location unchanged) {Crystal location: storage room; mini comb location: mudroom's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: storage room's buffet}\n- Step 7: (Crystal location unchanged; mini comb location unchanged) {Crystal location: storage room; mini comb location: mudroom's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: storage room's buffet}\n- Step 8: (Crystal location changed; mini comb location unchanged) {Crystal location: mudroom; mini comb location: mudroom's buffet; Crystal sees mini comb: True; Crystal's belief on mini comb: mudroom's buffet}\n- Step 9: (Crystal location unchanged; mini comb location unchanged) {Crystal location: mudroom; mini comb location: mudroom's buffet; Crystal sees mini comb: True; Crystal's belief on mini comb: mudroom's buffet}\n- Step 10: (Crystal location changed; mini comb location unchanged) {Crystal location: storage room; mini comb location: mudroom's buffet; Crystal sees mini comb: False; Crystal's belief on mini comb: mudroom's buffet}\nFinal Answer: the mudroom's buffet","item":{"question":"Where does Crystal believe the mini comb is?","story_components":"Agents: [Holly, Crystal].\nObjects: [the mini comb, the USB cable].\nRooms: [the storage room, the mudroom].\nContainers: [the storage room's buffet, the storage room's cabinet top, the mudroom's buffet, the mudroom's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_105","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Reginald is in the patio; Chris is in the foyer; the coin purse is on the foyer's sideboard; the paper crane is on the foyer's sideboard.\nStep 1: Reginald moves to the foyer.\nStep 2: Chris moves the coin purse to the foyer's mantel.\nStep 3: Reginald moves to the patio, and moves the paper crane to the patio's mantel.\nStep 4: Chris moves to the patio.\nStep 5: Reginald moves the paper crane to the patio's sideboard.\nStep 6: Chris moves to the foyer, and moves the paper crane to the foyer's sideboard.\nStep 7: Chris moves to the patio.\nStep 8: Chris moves to the foyer.\nStep 9: Chris moves the coin purse to the foyer's sideboard.\nStep 10: Chris moves to the patio.\n\n[QUESTION]\nWhere does Reginald believe the coin purse is?\n\n[YOUR ANSWER]","reference_output":"Reginald's belief on the coin purse:\n- Step 0: (initial state) {Reginald location: patio; coin purse location: foyer's sideboard; Reginald sees coin purse: False; Reginald's belief on coin purse: None}\n- Step 1: (Reginald location changed; coin purse location unchanged) {Reginald location: foyer; coin purse location: foyer's sideboard; Reginald sees coin purse: True; Reginald's belief on coin purse: foyer's sideboard}\n- Step 2: (Reginald location unchanged; coin purse location changed) {Reginald location: foyer; coin purse location: foyer's mantel; Reginald sees coin purse: True; Reginald's belief on coin purse: foyer's mantel}\n- Step 3: (Reginald location changed; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 4: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 5: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 6: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 7: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 8: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's mantel; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 9: (Reginald location unchanged; coin purse location changed) {Reginald location: patio; coin purse location: foyer's sideboard; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\n- Step 10: (Reginald location unchanged; coin purse location unchanged) {Reginald location: patio; coin purse location: foyer's sideboard; Reginald sees coin purse: False; Reginald's belief on coin purse: foyer's mantel}\nFinal Answer: the foyer's mantel","item":{"question":"Where does Reginald believe the coin purse is?","story_components":"Agents: [Reginald, Chris].\nObjects: [the coin purse, the paper crane].\nRooms: [the foyer, the patio].\nContainers: [the foyer's mantel, the foyer's sideboard, the patio's mantel, the patio's sideboard]"}}
+{"instance_id":"tom_tracking_0.5k_106","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Ebony is in the guest room; Gwendolyn is in the guest room; the dice is on the closet's tray; the paperclip is on the guest room's tray.\nStep 1: Ebony moves to the closet.\nStep 2: Gwendolyn moves to the closet.\nStep 3: Ebony moves the dice to the closet's rack.\nStep 4: Gwendolyn leaves the room he was in.\nStep 5: Ebony leaves the room he was in.\nStep 6: Gwendolyn enters the guest room.\nStep 7: Ebony enters the closet.\nStep 8: Gwendolyn moves to the closet, and moves the paperclip to the closet's rack.\nStep 9: Ebony moves to the guest room.\nStep 10: Gwendolyn leaves the room he was in.\n\n[QUESTION]\nWhere does Gwendolyn believe the dice is?\n\n[YOUR ANSWER]","reference_output":"Gwendolyn's belief on the dice:\n- Step 0: (initial state) {Gwendolyn location: guest room; dice location: closet's tray; Gwendolyn sees dice: False; Gwendolyn's belief on dice: None}\n- Step 1: (Gwendolyn location unchanged; dice location unchanged) {Gwendolyn location: guest room; dice location: closet's tray; Gwendolyn sees dice: False; Gwendolyn's belief on dice: None}\n- Step 2: (Gwendolyn location changed; dice location unchanged) {Gwendolyn location: closet; dice location: closet's tray; Gwendolyn sees dice: True; Gwendolyn's belief on dice: closet's tray}\n- Step 3: (Gwendolyn location unchanged; dice location changed) {Gwendolyn location: closet; dice location: closet's rack; Gwendolyn sees dice: True; Gwendolyn's belief on dice: closet's rack}\n- Step 4: (Gwendolyn location changed; dice location unchanged) {Gwendolyn location: None; dice location: closet's rack; Gwendolyn sees dice: False; Gwendolyn's belief on dice: closet's rack}\n- Step 5: (Gwendolyn location unchanged; dice location unchanged) {Gwendolyn location: None; dice location: closet's rack; Gwendolyn sees dice: False; Gwendolyn's belief on dice: closet's rack}\n- Step 6: (Gwendolyn location changed; dice location unchanged) {Gwendolyn location: guest room; dice location: closet's rack; Gwendolyn sees dice: False; Gwendolyn's belief on dice: closet's rack}\n- Step 7: (Gwendolyn location unchanged; dice location unchanged) {Gwendolyn location: guest room; dice location: closet's rack; Gwendolyn sees dice: False; Gwendolyn's belief on dice: closet's rack}\n- Step 8: (Gwendolyn location changed; dice location unchanged) {Gwendolyn location: closet; dice location: closet's rack; Gwendolyn sees dice: True; Gwendolyn's belief on dice: closet's rack}\n- Step 9: (Gwendolyn location unchanged; dice location unchanged) {Gwendolyn location: closet; dice location: closet's rack; Gwendolyn sees dice: True; Gwendolyn's belief on dice: closet's rack}\n- Step 10: (Gwendolyn location changed; dice location unchanged) {Gwendolyn location: None; dice location: closet's rack; Gwendolyn sees dice: False; Gwendolyn's belief on dice: closet's rack}\nFinal Answer: the closet's rack","item":{"question":"Where does Gwendolyn believe the dice is?","story_components":"Agents: [Ebony, Gwendolyn].\nObjects: [the dice, the paperclip].\nRooms: [the guest room, the closet].\nContainers: [the guest room's tray, the guest room's rack, the closet's tray, the closet's rack]"}}
+{"instance_id":"tom_tracking_0.5k_107","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the storage room; Benjamin is in the lounge; the bookmark is on the lounge's windowsill; the pencil sharpener is on the lounge's bistro table.\nStep 1: Kayla moves to the lounge.\nStep 2: Benjamin leaves the room he was in.\nStep 3: Kayla leaves the room he was in.\nStep 4: Benjamin enters the lounge.\nStep 5: Kayla enters the lounge.\nStep 6: Benjamin moves to the storage room, and moves the pencil sharpener to the storage room's bistro table.\nStep 7: Kayla moves the bookmark to the lounge's bistro table.\nStep 8: Benjamin moves the pencil sharpener to the storage room's windowsill.\nStep 9: Kayla moves to the storage room.\nStep 10: Benjamin moves the pencil sharpener to the storage room's bistro table.\n\n[QUESTION]\nWhere does Kayla believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the bookmark:\n- Step 0: (initial state) {Kayla location: storage room; bookmark location: lounge's windowsill; Kayla sees bookmark: False; Kayla's belief on bookmark: None}\n- Step 1: (Kayla location changed; bookmark location unchanged) {Kayla location: lounge; bookmark location: lounge's windowsill; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's windowsill}\n- Step 2: (Kayla location unchanged; bookmark location unchanged) {Kayla location: lounge; bookmark location: lounge's windowsill; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's windowsill}\n- Step 3: (Kayla location changed; bookmark location unchanged) {Kayla location: None; bookmark location: lounge's windowsill; Kayla sees bookmark: False; Kayla's belief on bookmark: lounge's windowsill}\n- Step 4: (Kayla location unchanged; bookmark location unchanged) {Kayla location: None; bookmark location: lounge's windowsill; Kayla sees bookmark: False; Kayla's belief on bookmark: lounge's windowsill}\n- Step 5: (Kayla location changed; bookmark location unchanged) {Kayla location: lounge; bookmark location: lounge's windowsill; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's windowsill}\n- Step 6: (Kayla location unchanged; bookmark location unchanged) {Kayla location: lounge; bookmark location: lounge's windowsill; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's windowsill}\n- Step 7: (Kayla location unchanged; bookmark location changed) {Kayla location: lounge; bookmark location: lounge's bistro table; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's bistro table}\n- Step 8: (Kayla location unchanged; bookmark location unchanged) {Kayla location: lounge; bookmark location: lounge's bistro table; Kayla sees bookmark: True; Kayla's belief on bookmark: lounge's bistro table}\n- Step 9: (Kayla location changed; bookmark location unchanged) {Kayla location: storage room; bookmark location: lounge's bistro table; Kayla sees bookmark: False; Kayla's belief on bookmark: lounge's bistro table}\n- Step 10: (Kayla location unchanged; bookmark location unchanged) {Kayla location: storage room; bookmark location: lounge's bistro table; Kayla sees bookmark: False; Kayla's belief on bookmark: lounge's bistro table}\nFinal Answer: the lounge's bistro table","item":{"question":"Where does Kayla believe the bookmark is?","story_components":"Agents: [Kayla, Benjamin].\nObjects: [the bookmark, the pencil sharpener].\nRooms: [the lounge, the storage room].\nContainers: [the lounge's bistro table, the lounge's windowsill, the storage room's bistro table, the storage room's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_108","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Angela is in the guest room; Clinton is in the guest room; the feather is on the guest room's bar; the pocket mirror is on the guest room's display case.\nStep 1: Angela moves the pocket mirror to the guest room's bar.\nStep 2: Clinton moves to the garage, and moves the feather to the garage's display case.\nStep 3: Angela moves to the garage.\nStep 4: Clinton leaves the room he was in.\nStep 5: Angela leaves the room he was in.\nStep 6: Clinton enters the guest room.\nStep 7: Angela enters the garage.\nStep 8: Clinton leaves the room he was in.\nStep 9: Angela leaves the room he was in.\nStep 10: Clinton enters the garage.\n\n[QUESTION]\nWhere does Clinton believe the pocket mirror is?\n\n[YOUR ANSWER]","reference_output":"Clinton's belief on the pocket mirror:\n- Step 0: (initial state) {Clinton location: guest room; pocket mirror location: guest room's display case; Clinton sees pocket mirror: True; Clinton's belief on pocket mirror: guest room's display case}\n- Step 1: (Clinton location unchanged; pocket mirror location changed) {Clinton location: guest room; pocket mirror location: guest room's bar; Clinton sees pocket mirror: True; Clinton's belief on pocket mirror: guest room's bar}\n- Step 2: (Clinton location changed; pocket mirror location unchanged) {Clinton location: garage; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 3: (Clinton location unchanged; pocket mirror location unchanged) {Clinton location: garage; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 4: (Clinton location changed; pocket mirror location unchanged) {Clinton location: None; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 5: (Clinton location unchanged; pocket mirror location unchanged) {Clinton location: None; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 6: (Clinton location changed; pocket mirror location unchanged) {Clinton location: guest room; pocket mirror location: guest room's bar; Clinton sees pocket mirror: True; Clinton's belief on pocket mirror: guest room's bar}\n- Step 7: (Clinton location unchanged; pocket mirror location unchanged) {Clinton location: guest room; pocket mirror location: guest room's bar; Clinton sees pocket mirror: True; Clinton's belief on pocket mirror: guest room's bar}\n- Step 8: (Clinton location changed; pocket mirror location unchanged) {Clinton location: None; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 9: (Clinton location unchanged; pocket mirror location unchanged) {Clinton location: None; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\n- Step 10: (Clinton location changed; pocket mirror location unchanged) {Clinton location: garage; pocket mirror location: guest room's bar; Clinton sees pocket mirror: False; Clinton's belief on pocket mirror: guest room's bar}\nFinal Answer: the guest room's bar","item":{"question":"Where does Clinton believe the pocket mirror is?","story_components":"Agents: [Angela, Clinton].\nObjects: [the feather, the pocket mirror].\nRooms: [the garage, the guest room].\nContainers: [the garage's bar, the garage's display case, the guest room's bar, the guest room's display case]"}}
+{"instance_id":"tom_tracking_0.5k_109","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the guest room; Abigail is in the dining room; the sticky tape is on the dining room's ledge; the playing marble is on the guest room's ledge.\nStep 1: Eric moves to the dining room, and moves the playing marble to the dining room's rack.\nStep 2: Abigail moves to the guest room, and moves the sticky tape to the guest room's ledge.\nStep 3: Eric moves to the guest room, and moves the playing marble to the guest room's rack.\nStep 4: Abigail moves to the dining room.\nStep 5: Eric leaves the room he was in.\nStep 6: Abigail moves to the guest room.\nStep 7: Eric enters the guest room.\nStep 8: Abigail moves to the dining room.\nStep 9: Eric moves to the dining room.\nStep 10: Abigail moves to the guest room.\n\n[QUESTION]\nWhere does Abigail believe the playing marble is?\n\n[YOUR ANSWER]","reference_output":"Abigail's belief on the playing marble:\n- Step 0: (initial state) {Abigail location: dining room; playing marble location: guest room's ledge; Abigail sees playing marble: False; Abigail's belief on playing marble: None}\n- Step 1: (Abigail location unchanged; playing marble location changed) {Abigail location: dining room; playing marble location: dining room's rack; Abigail sees playing marble: True; Abigail's belief on playing marble: dining room's rack}\n- Step 2: (Abigail location changed; playing marble location unchanged) {Abigail location: guest room; playing marble location: dining room's rack; Abigail sees playing marble: False; Abigail's belief on playing marble: dining room's rack}\n- Step 3: (Abigail location unchanged; playing marble location changed) {Abigail location: guest room; playing marble location: guest room's rack; Abigail sees playing marble: True; Abigail's belief on playing marble: guest room's rack}\n- Step 4: (Abigail location changed; playing marble location unchanged) {Abigail location: dining room; playing marble location: guest room's rack; Abigail sees playing marble: False; Abigail's belief on playing marble: guest room's rack}\n- Step 5: (Abigail location unchanged; playing marble location unchanged) {Abigail location: dining room; playing marble location: guest room's rack; Abigail sees playing marble: False; Abigail's belief on playing marble: guest room's rack}\n- Step 6: (Abigail location changed; playing marble location unchanged) {Abigail location: guest room; playing marble location: guest room's rack; Abigail sees playing marble: True; Abigail's belief on playing marble: guest room's rack}\n- Step 7: (Abigail location unchanged; playing marble location unchanged) {Abigail location: guest room; playing marble location: guest room's rack; Abigail sees playing marble: True; Abigail's belief on playing marble: guest room's rack}\n- Step 8: (Abigail location changed; playing marble location unchanged) {Abigail location: dining room; playing marble location: guest room's rack; Abigail sees playing marble: False; Abigail's belief on playing marble: guest room's rack}\n- Step 9: (Abigail location unchanged; playing marble location unchanged) {Abigail location: dining room; playing marble location: guest room's rack; Abigail sees playing marble: False; Abigail's belief on playing marble: guest room's rack}\n- Step 10: (Abigail location changed; playing marble location unchanged) {Abigail location: guest room; playing marble location: guest room's rack; Abigail sees playing marble: True; Abigail's belief on playing marble: guest room's rack}\nFinal Answer: the guest room's rack","item":{"question":"Where does Abigail believe the playing marble is?","story_components":"Agents: [Eric, Abigail].\nObjects: [the sticky tape, the playing marble].\nRooms: [the guest room, the dining room].\nContainers: [the guest room's ledge, the guest room's rack, the dining room's ledge, the dining room's rack]"}}
+{"instance_id":"tom_tracking_0.5k_110","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Corey is in the attic; Tiffany is in the attic; the eraser is on the attic's table; the dice is on the gym's table.\nStep 1: Corey moves to the gym, and moves the eraser to the gym's table.\nStep 2: Tiffany moves to the gym.\nStep 3: Corey moves to the attic.\nStep 4: Tiffany moves the dice to the gym's stand.\nStep 5: Tiffany moves to the attic.\nStep 6: Tiffany moves to the gym.\nStep 7: Corey moves to the gym.\nStep 8: Tiffany moves the dice to the gym's table.\nStep 9: Corey moves the eraser to the gym's stand.\nStep 10: Tiffany moves to the attic, and moves the eraser to the attic's table.\n\n[QUESTION]\nWhere does Tiffany believe the eraser is?\n\n[YOUR ANSWER]","reference_output":"Tiffany's belief on the eraser:\n- Step 0: (initial state) {Tiffany location: attic; eraser location: attic's table; Tiffany sees eraser: True; Tiffany's belief on eraser: attic's table}\n- Step 1: (Tiffany location unchanged; eraser location changed) {Tiffany location: attic; eraser location: gym's table; Tiffany sees eraser: False; Tiffany's belief on eraser: attic's table}\n- Step 2: (Tiffany location changed; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 3: (Tiffany location unchanged; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 4: (Tiffany location unchanged; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 5: (Tiffany location changed; eraser location unchanged) {Tiffany location: attic; eraser location: gym's table; Tiffany sees eraser: False; Tiffany's belief on eraser: gym's table}\n- Step 6: (Tiffany location changed; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 7: (Tiffany location unchanged; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 8: (Tiffany location unchanged; eraser location unchanged) {Tiffany location: gym; eraser location: gym's table; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's table}\n- Step 9: (Tiffany location unchanged; eraser location changed) {Tiffany location: gym; eraser location: gym's stand; Tiffany sees eraser: True; Tiffany's belief on eraser: gym's stand}\n- Step 10: (Tiffany location changed; eraser location changed) {Tiffany location: attic; eraser location: attic's table; Tiffany sees eraser: True; Tiffany's belief on eraser: attic's table}\nFinal Answer: the attic's table","item":{"question":"Where does Tiffany believe the eraser is?","story_components":"Agents: [Corey, Tiffany].\nObjects: [the eraser, the dice].\nRooms: [the gym, the attic].\nContainers: [the gym's stand, the gym's table, the attic's stand, the attic's table]"}}
+{"instance_id":"tom_tracking_0.5k_111","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jeremiah is in the balcony; Tracy is in the home theater; the button is on the balcony's ledge; the paperclip is on the home theater's ledge.\nStep 1: Jeremiah moves to the home theater.\nStep 2: Tracy moves to the balcony.\nStep 3: Jeremiah leaves the room he was in.\nStep 4: Tracy moves to the home theater, and moves the button to the home theater's ledge.\nStep 5: Jeremiah enters the home theater.\nStep 6: Tracy moves to the balcony.\nStep 7: Jeremiah moves to the balcony, and moves the paperclip to the balcony's ledge.\nStep 8: Tracy moves the paperclip to the balcony's nightstand.\nStep 9: Jeremiah moves to the home theater, and moves the paperclip to the home theater's nightstand.\nStep 10: Tracy moves to the home theater.\n\n[QUESTION]\nWhere does Jeremiah believe the paperclip is?\n\n[YOUR ANSWER]","reference_output":"Jeremiah's belief on the paperclip:\n- Step 0: (initial state) {Jeremiah location: balcony; paperclip location: home theater's ledge; Jeremiah sees paperclip: False; Jeremiah's belief on paperclip: None}\n- Step 1: (Jeremiah location changed; paperclip location unchanged) {Jeremiah location: home theater; paperclip location: home theater's ledge; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 2: (Jeremiah location unchanged; paperclip location unchanged) {Jeremiah location: home theater; paperclip location: home theater's ledge; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 3: (Jeremiah location changed; paperclip location unchanged) {Jeremiah location: None; paperclip location: home theater's ledge; Jeremiah sees paperclip: False; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 4: (Jeremiah location unchanged; paperclip location unchanged) {Jeremiah location: None; paperclip location: home theater's ledge; Jeremiah sees paperclip: False; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 5: (Jeremiah location changed; paperclip location unchanged) {Jeremiah location: home theater; paperclip location: home theater's ledge; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 6: (Jeremiah location unchanged; paperclip location unchanged) {Jeremiah location: home theater; paperclip location: home theater's ledge; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's ledge}\n- Step 7: (Jeremiah location changed; paperclip location changed) {Jeremiah location: balcony; paperclip location: balcony's ledge; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: balcony's ledge}\n- Step 8: (Jeremiah location unchanged; paperclip location changed) {Jeremiah location: balcony; paperclip location: balcony's nightstand; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: balcony's nightstand}\n- Step 9: (Jeremiah location changed; paperclip location changed) {Jeremiah location: home theater; paperclip location: home theater's nightstand; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's nightstand}\n- Step 10: (Jeremiah location unchanged; paperclip location unchanged) {Jeremiah location: home theater; paperclip location: home theater's nightstand; Jeremiah sees paperclip: True; Jeremiah's belief on paperclip: home theater's nightstand}\nFinal Answer: the home theater's nightstand","item":{"question":"Where does Jeremiah believe the paperclip is?","story_components":"Agents: [Jeremiah, Tracy].\nObjects: [the button, the paperclip].\nRooms: [the home theater, the balcony].\nContainers: [the home theater's nightstand, the home theater's ledge, the balcony's nightstand, the balcony's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_112","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Ryan is in the sauna; Kenneth is in the sauna; the USB cable is on the sauna's coffee table; the keychain is on the balcony's coffee table.\nStep 1: Ryan moves the USB cable to the sauna's bistro table.\nStep 2: Kenneth leaves the room he was in.\nStep 3: Ryan moves to the balcony.\nStep 4: Kenneth enters the sauna.\nStep 5: Ryan moves the keychain to the balcony's bistro table.\nStep 6: Kenneth leaves the room he was in.\nStep 7: Ryan moves to the sauna, and moves the keychain to the sauna's coffee table.\nStep 8: Kenneth enters the sauna.\nStep 9: Ryan moves to the balcony.\nStep 10: Kenneth moves to the balcony, and moves the USB cable to the balcony's coffee table.\n\n[QUESTION]\nWhere does Ryan believe the keychain is?\n\n[YOUR ANSWER]","reference_output":"Ryan's belief on the keychain:\n- Step 0: (initial state) {Ryan location: sauna; keychain location: balcony's coffee table; Ryan sees keychain: False; Ryan's belief on keychain: None}\n- Step 1: (Ryan location unchanged; keychain location unchanged) {Ryan location: sauna; keychain location: balcony's coffee table; Ryan sees keychain: False; Ryan's belief on keychain: None}\n- Step 2: (Ryan location unchanged; keychain location unchanged) {Ryan location: sauna; keychain location: balcony's coffee table; Ryan sees keychain: False; Ryan's belief on keychain: None}\n- Step 3: (Ryan location changed; keychain location unchanged) {Ryan location: balcony; keychain location: balcony's coffee table; Ryan sees keychain: True; Ryan's belief on keychain: balcony's coffee table}\n- Step 4: (Ryan location unchanged; keychain location unchanged) {Ryan location: balcony; keychain location: balcony's coffee table; Ryan sees keychain: True; Ryan's belief on keychain: balcony's coffee table}\n- Step 5: (Ryan location unchanged; keychain location changed) {Ryan location: balcony; keychain location: balcony's bistro table; Ryan sees keychain: True; Ryan's belief on keychain: balcony's bistro table}\n- Step 6: (Ryan location unchanged; keychain location unchanged) {Ryan location: balcony; keychain location: balcony's bistro table; Ryan sees keychain: True; Ryan's belief on keychain: balcony's bistro table}\n- Step 7: (Ryan location changed; keychain location changed) {Ryan location: sauna; keychain location: sauna's coffee table; Ryan sees keychain: True; Ryan's belief on keychain: sauna's coffee table}\n- Step 8: (Ryan location unchanged; keychain location unchanged) {Ryan location: sauna; keychain location: sauna's coffee table; Ryan sees keychain: True; Ryan's belief on keychain: sauna's coffee table}\n- Step 9: (Ryan location changed; keychain location unchanged) {Ryan location: balcony; keychain location: sauna's coffee table; Ryan sees keychain: False; Ryan's belief on keychain: sauna's coffee table}\n- Step 10: (Ryan location unchanged; keychain location unchanged) {Ryan location: balcony; keychain location: sauna's coffee table; Ryan sees keychain: False; Ryan's belief on keychain: sauna's coffee table}\nFinal Answer: the sauna's coffee table","item":{"question":"Where does Ryan believe the keychain is?","story_components":"Agents: [Ryan, Kenneth].\nObjects: [the USB cable, the keychain].\nRooms: [the sauna, the balcony].\nContainers: [the sauna's bistro table, the sauna's coffee table, the balcony's bistro table, the balcony's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_113","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nancy is in the office; Cassandra is in the sunroom; the playing dice is on the sunroom's side table; the key is on the office's side table.\nStep 1: Nancy moves the key to the office's nightstand.\nStep 2: Cassandra moves to the office.\nStep 3: Nancy moves to the sunroom, and moves the key to the sunroom's side table.\nStep 4: Nancy moves to the office.\nStep 5: Nancy moves to the sunroom.\nStep 6: Nancy leaves the room he was in.\nStep 7: Nancy enters the sunroom.\nStep 8: Nancy moves the playing dice to the sunroom's nightstand.\nStep 9: Nancy moves to the office.\nStep 10: Cassandra moves to the sunroom.\n\n[QUESTION]\nWhere does Nancy believe the key is?\n\n[YOUR ANSWER]","reference_output":"Nancy's belief on the key:\n- Step 0: (initial state) {Nancy location: office; key location: office's side table; Nancy sees key: True; Nancy's belief on key: office's side table}\n- Step 1: (Nancy location unchanged; key location changed) {Nancy location: office; key location: office's nightstand; Nancy sees key: True; Nancy's belief on key: office's nightstand}\n- Step 2: (Nancy location unchanged; key location unchanged) {Nancy location: office; key location: office's nightstand; Nancy sees key: True; Nancy's belief on key: office's nightstand}\n- Step 3: (Nancy location changed; key location changed) {Nancy location: sunroom; key location: sunroom's side table; Nancy sees key: True; Nancy's belief on key: sunroom's side table}\n- Step 4: (Nancy location changed; key location unchanged) {Nancy location: office; key location: sunroom's side table; Nancy sees key: False; Nancy's belief on key: sunroom's side table}\n- Step 5: (Nancy location changed; key location unchanged) {Nancy location: sunroom; key location: sunroom's side table; Nancy sees key: True; Nancy's belief on key: sunroom's side table}\n- Step 6: (Nancy location changed; key location unchanged) {Nancy location: None; key location: sunroom's side table; Nancy sees key: False; Nancy's belief on key: sunroom's side table}\n- Step 7: (Nancy location changed; key location unchanged) {Nancy location: sunroom; key location: sunroom's side table; Nancy sees key: True; Nancy's belief on key: sunroom's side table}\n- Step 8: (Nancy location unchanged; key location unchanged) {Nancy location: sunroom; key location: sunroom's side table; Nancy sees key: True; Nancy's belief on key: sunroom's side table}\n- Step 9: (Nancy location changed; key location unchanged) {Nancy location: office; key location: sunroom's side table; Nancy sees key: False; Nancy's belief on key: sunroom's side table}\n- Step 10: (Nancy location unchanged; key location unchanged) {Nancy location: office; key location: sunroom's side table; Nancy sees key: False; Nancy's belief on key: sunroom's side table}\nFinal Answer: the sunroom's side table","item":{"question":"Where does Nancy believe the key is?","story_components":"Agents: [Nancy, Cassandra].\nObjects: [the playing dice, the key].\nRooms: [the sunroom, the office].\nContainers: [the sunroom's nightstand, the sunroom's side table, the office's nightstand, the office's side table]"}}
+{"instance_id":"tom_tracking_0.5k_114","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Sabrina is in the closet; Donald is in the closet; the glue stick is on the closet's sideboard; the matchstick is on the closet's sideboard.\nStep 1: Sabrina moves the glue stick to the closet's bench.\nStep 2: Donald moves to the living room.\nStep 3: Sabrina moves to the living room, and moves the matchstick to the living room's sideboard.\nStep 4: Donald leaves the room he was in.\nStep 5: Sabrina moves to the closet.\nStep 6: Donald enters the closet.\nStep 7: Sabrina leaves the room he was in.\nStep 8: Donald moves to the living room.\nStep 9: Sabrina enters the closet.\nStep 10: Donald moves to the closet, and moves the matchstick to the closet's sideboard.\n\n[QUESTION]\nWhere does Sabrina believe the matchstick is?\n\n[YOUR ANSWER]","reference_output":"Sabrina's belief on the matchstick:\n- Step 0: (initial state) {Sabrina location: closet; matchstick location: closet's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: closet's sideboard}\n- Step 1: (Sabrina location unchanged; matchstick location unchanged) {Sabrina location: closet; matchstick location: closet's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: closet's sideboard}\n- Step 2: (Sabrina location unchanged; matchstick location unchanged) {Sabrina location: closet; matchstick location: closet's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: closet's sideboard}\n- Step 3: (Sabrina location changed; matchstick location changed) {Sabrina location: living room; matchstick location: living room's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: living room's sideboard}\n- Step 4: (Sabrina location unchanged; matchstick location unchanged) {Sabrina location: living room; matchstick location: living room's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: living room's sideboard}\n- Step 5: (Sabrina location changed; matchstick location unchanged) {Sabrina location: closet; matchstick location: living room's sideboard; Sabrina sees matchstick: False; Sabrina's belief on matchstick: living room's sideboard}\n- Step 6: (Sabrina location unchanged; matchstick location unchanged) {Sabrina location: closet; matchstick location: living room's sideboard; Sabrina sees matchstick: False; Sabrina's belief on matchstick: living room's sideboard}\n- Step 7: (Sabrina location changed; matchstick location unchanged) {Sabrina location: None; matchstick location: living room's sideboard; Sabrina sees matchstick: False; Sabrina's belief on matchstick: living room's sideboard}\n- Step 8: (Sabrina location unchanged; matchstick location unchanged) {Sabrina location: None; matchstick location: living room's sideboard; Sabrina sees matchstick: False; Sabrina's belief on matchstick: living room's sideboard}\n- Step 9: (Sabrina location changed; matchstick location unchanged) {Sabrina location: closet; matchstick location: living room's sideboard; Sabrina sees matchstick: False; Sabrina's belief on matchstick: living room's sideboard}\n- Step 10: (Sabrina location unchanged; matchstick location changed) {Sabrina location: closet; matchstick location: closet's sideboard; Sabrina sees matchstick: True; Sabrina's belief on matchstick: closet's sideboard}\nFinal Answer: the closet's sideboard","item":{"question":"Where does Sabrina believe the matchstick is?","story_components":"Agents: [Sabrina, Donald].\nObjects: [the glue stick, the matchstick].\nRooms: [the closet, the living room].\nContainers: [the closet's bench, the closet's sideboard, the living room's bench, the living room's sideboard]"}}
+{"instance_id":"tom_tracking_0.5k_115","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: April is in the playroom; Mark is in the nursery; the knife is on the playroom's shelf; the hand warmer is on the nursery's bench.\nStep 1: April moves the knife to the playroom's bench.\nStep 2: Mark leaves the room he was in.\nStep 3: April moves the knife to the playroom's shelf.\nStep 4: Mark enters the nursery.\nStep 5: April leaves the room he was in.\nStep 6: Mark moves to the playroom.\nStep 7: April enters the nursery.\nStep 8: Mark moves to the nursery, and moves the knife to the nursery's shelf.\nStep 9: April moves to the playroom.\nStep 10: Mark leaves the room he was in.\n\n[QUESTION]\nWhere does April believe the knife is?\n\n[YOUR ANSWER]","reference_output":"April's belief on the knife:\n- Step 0: (initial state) {April location: playroom; knife location: playroom's shelf; April sees knife: True; April's belief on knife: playroom's shelf}\n- Step 1: (April location unchanged; knife location changed) {April location: playroom; knife location: playroom's bench; April sees knife: True; April's belief on knife: playroom's bench}\n- Step 2: (April location unchanged; knife location unchanged) {April location: playroom; knife location: playroom's bench; April sees knife: True; April's belief on knife: playroom's bench}\n- Step 3: (April location unchanged; knife location changed) {April location: playroom; knife location: playroom's shelf; April sees knife: True; April's belief on knife: playroom's shelf}\n- Step 4: (April location unchanged; knife location unchanged) {April location: playroom; knife location: playroom's shelf; April sees knife: True; April's belief on knife: playroom's shelf}\n- Step 5: (April location changed; knife location unchanged) {April location: None; knife location: playroom's shelf; April sees knife: False; April's belief on knife: playroom's shelf}\n- Step 6: (April location unchanged; knife location unchanged) {April location: None; knife location: playroom's shelf; April sees knife: False; April's belief on knife: playroom's shelf}\n- Step 7: (April location changed; knife location unchanged) {April location: nursery; knife location: playroom's shelf; April sees knife: False; April's belief on knife: playroom's shelf}\n- Step 8: (April location unchanged; knife location changed) {April location: nursery; knife location: nursery's shelf; April sees knife: True; April's belief on knife: nursery's shelf}\n- Step 9: (April location changed; knife location unchanged) {April location: playroom; knife location: nursery's shelf; April sees knife: False; April's belief on knife: nursery's shelf}\n- Step 10: (April location unchanged; knife location unchanged) {April location: playroom; knife location: nursery's shelf; April sees knife: False; April's belief on knife: nursery's shelf}\nFinal Answer: the nursery's shelf","item":{"question":"Where does April believe the knife is?","story_components":"Agents: [April, Mark].\nObjects: [the knife, the hand warmer].\nRooms: [the nursery, the playroom].\nContainers: [the nursery's shelf, the nursery's bench, the playroom's shelf, the playroom's bench]"}}
+{"instance_id":"tom_tracking_0.5k_116","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Emily is in the living room; Danny is in the playroom; the business card is on the playroom's display case; the pill bottle is on the living room's display case.\nStep 1: Emily moves to the playroom, and moves the pill bottle to the playroom's display case.\nStep 2: Danny moves to the living room.\nStep 3: Emily leaves the room he was in.\nStep 4: Danny moves to the playroom.\nStep 5: Emily enters the playroom.\nStep 6: Danny moves the business card to the playroom's cabinet top.\nStep 7: Emily moves the business card to the playroom's display case.\nStep 8: Danny moves the pill bottle to the playroom's cabinet top.\nStep 9: Emily moves to the living room, and moves the pill bottle to the living room's cabinet top.\nStep 10: Danny leaves the room he was in.\n\n[QUESTION]\nWhere does Danny believe the pill bottle is?\n\n[YOUR ANSWER]","reference_output":"Danny's belief on the pill bottle:\n- Step 0: (initial state) {Danny location: playroom; pill bottle location: living room's display case; Danny sees pill bottle: False; Danny's belief on pill bottle: None}\n- Step 1: (Danny location unchanged; pill bottle location changed) {Danny location: playroom; pill bottle location: playroom's display case; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's display case}\n- Step 2: (Danny location changed; pill bottle location unchanged) {Danny location: living room; pill bottle location: playroom's display case; Danny sees pill bottle: False; Danny's belief on pill bottle: playroom's display case}\n- Step 3: (Danny location unchanged; pill bottle location unchanged) {Danny location: living room; pill bottle location: playroom's display case; Danny sees pill bottle: False; Danny's belief on pill bottle: playroom's display case}\n- Step 4: (Danny location changed; pill bottle location unchanged) {Danny location: playroom; pill bottle location: playroom's display case; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's display case}\n- Step 5: (Danny location unchanged; pill bottle location unchanged) {Danny location: playroom; pill bottle location: playroom's display case; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's display case}\n- Step 6: (Danny location unchanged; pill bottle location unchanged) {Danny location: playroom; pill bottle location: playroom's display case; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's display case}\n- Step 7: (Danny location unchanged; pill bottle location unchanged) {Danny location: playroom; pill bottle location: playroom's display case; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's display case}\n- Step 8: (Danny location unchanged; pill bottle location changed) {Danny location: playroom; pill bottle location: playroom's cabinet top; Danny sees pill bottle: True; Danny's belief on pill bottle: playroom's cabinet top}\n- Step 9: (Danny location unchanged; pill bottle location changed) {Danny location: playroom; pill bottle location: living room's cabinet top; Danny sees pill bottle: False; Danny's belief on pill bottle: playroom's cabinet top}\n- Step 10: (Danny location changed; pill bottle location unchanged) {Danny location: None; pill bottle location: living room's cabinet top; Danny sees pill bottle: False; Danny's belief on pill bottle: playroom's cabinet top}\nFinal Answer: the playroom's cabinet top","item":{"question":"Where does Danny believe the pill bottle is?","story_components":"Agents: [Emily, Danny].\nObjects: [the business card, the pill bottle].\nRooms: [the living room, the playroom].\nContainers: [the living room's cabinet top, the living room's display case, the playroom's cabinet top, the playroom's display case]"}}
+{"instance_id":"tom_tracking_0.5k_117","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Diana is in the foyer; Scott is in the foyer; the soap bar is on the closet's counter; the button is on the closet's counter.\nStep 1: Diana moves to the closet.\nStep 2: Diana moves to the foyer.\nStep 3: Diana moves to the closet.\nStep 4: Diana moves to the foyer.\nStep 5: Diana moves to the closet.\nStep 6: Scott moves to the closet.\nStep 7: Diana moves to the foyer.\nStep 8: Scott leaves the room he was in.\nStep 9: Diana moves to the closet.\nStep 10: Scott enters the foyer.\n\n[QUESTION]\nWhere does Diana believe the button is?\n\n[YOUR ANSWER]","reference_output":"Diana's belief on the button:\n- Step 0: (initial state) {Diana location: foyer; button location: closet's counter; Diana sees button: False; Diana's belief on button: None}\n- Step 1: (Diana location changed; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\n- Step 2: (Diana location changed; button location unchanged) {Diana location: foyer; button location: closet's counter; Diana sees button: False; Diana's belief on button: closet's counter}\n- Step 3: (Diana location changed; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\n- Step 4: (Diana location changed; button location unchanged) {Diana location: foyer; button location: closet's counter; Diana sees button: False; Diana's belief on button: closet's counter}\n- Step 5: (Diana location changed; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\n- Step 6: (Diana location unchanged; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\n- Step 7: (Diana location changed; button location unchanged) {Diana location: foyer; button location: closet's counter; Diana sees button: False; Diana's belief on button: closet's counter}\n- Step 8: (Diana location unchanged; button location unchanged) {Diana location: foyer; button location: closet's counter; Diana sees button: False; Diana's belief on button: closet's counter}\n- Step 9: (Diana location changed; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\n- Step 10: (Diana location unchanged; button location unchanged) {Diana location: closet; button location: closet's counter; Diana sees button: True; Diana's belief on button: closet's counter}\nFinal Answer: the closet's counter","item":{"question":"Where does Diana believe the button is?","story_components":"Agents: [Diana, Scott].\nObjects: [the soap bar, the button].\nRooms: [the closet, the foyer].\nContainers: [the closet's windowsill, the closet's counter, the foyer's windowsill, the foyer's counter]"}}
+{"instance_id":"tom_tracking_0.5k_118","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mark is in the living room; Justin is in the living room; the dice is on the living room's side table; the light bulb is on the closet's side table.\nStep 1: Mark moves to the closet.\nStep 2: Justin leaves the room he was in.\nStep 3: Mark moves to the living room, and moves the light bulb to the living room's desk.\nStep 4: Justin enters the closet.\nStep 5: Mark moves to the closet, and moves the dice to the closet's desk.\nStep 6: Justin moves to the living room, and moves the dice to the living room's side table.\nStep 7: Mark moves to the living room.\nStep 8: Justin moves the light bulb to the living room's side table.\nStep 9: Mark moves to the closet, and moves the light bulb to the closet's side table.\nStep 10: Justin moves to the closet.\n\n[QUESTION]\nWhere does Justin believe the dice is?\n\n[YOUR ANSWER]","reference_output":"Justin's belief on the dice:\n- Step 0: (initial state) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 1: (Justin location unchanged; dice location unchanged) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 2: (Justin location changed; dice location unchanged) {Justin location: None; dice location: living room's side table; Justin sees dice: False; Justin's belief on dice: living room's side table}\n- Step 3: (Justin location unchanged; dice location unchanged) {Justin location: None; dice location: living room's side table; Justin sees dice: False; Justin's belief on dice: living room's side table}\n- Step 4: (Justin location changed; dice location unchanged) {Justin location: closet; dice location: living room's side table; Justin sees dice: False; Justin's belief on dice: living room's side table}\n- Step 5: (Justin location unchanged; dice location changed) {Justin location: closet; dice location: closet's desk; Justin sees dice: True; Justin's belief on dice: closet's desk}\n- Step 6: (Justin location changed; dice location changed) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 7: (Justin location unchanged; dice location unchanged) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 8: (Justin location unchanged; dice location unchanged) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 9: (Justin location unchanged; dice location unchanged) {Justin location: living room; dice location: living room's side table; Justin sees dice: True; Justin's belief on dice: living room's side table}\n- Step 10: (Justin location changed; dice location unchanged) {Justin location: closet; dice location: living room's side table; Justin sees dice: False; Justin's belief on dice: living room's side table}\nFinal Answer: the living room's side table","item":{"question":"Where does Justin believe the dice is?","story_components":"Agents: [Mark, Justin].\nObjects: [the dice, the light bulb].\nRooms: [the living room, the closet].\nContainers: [the living room's side table, the living room's desk, the closet's side table, the closet's desk]"}}
+{"instance_id":"tom_tracking_0.5k_119","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the basement; Molly is in the craft room; the toy car is on the basement's console table; the lipstick is on the basement's coffee table.\nStep 1: Eric leaves the room he was in.\nStep 2: Molly moves to the basement.\nStep 3: Eric enters the basement.\nStep 4: Molly moves the lipstick to the basement's console table.\nStep 5: Eric moves to the craft room.\nStep 6: Molly moves to the craft room.\nStep 7: Eric moves to the basement.\nStep 8: Eric moves to the craft room, and moves the toy car to the craft room's coffee table.\nStep 9: Eric moves the toy car to the craft room's console table.\nStep 10: Molly moves to the basement.\n\n[QUESTION]\nWhere does Molly believe the lipstick is?\n\n[YOUR ANSWER]","reference_output":"Molly's belief on the lipstick:\n- Step 0: (initial state) {Molly location: craft room; lipstick location: basement's coffee table; Molly sees lipstick: False; Molly's belief on lipstick: None}\n- Step 1: (Molly location unchanged; lipstick location unchanged) {Molly location: craft room; lipstick location: basement's coffee table; Molly sees lipstick: False; Molly's belief on lipstick: None}\n- Step 2: (Molly location changed; lipstick location unchanged) {Molly location: basement; lipstick location: basement's coffee table; Molly sees lipstick: True; Molly's belief on lipstick: basement's coffee table}\n- Step 3: (Molly location unchanged; lipstick location unchanged) {Molly location: basement; lipstick location: basement's coffee table; Molly sees lipstick: True; Molly's belief on lipstick: basement's coffee table}\n- Step 4: (Molly location unchanged; lipstick location changed) {Molly location: basement; lipstick location: basement's console table; Molly sees lipstick: True; Molly's belief on lipstick: basement's console table}\n- Step 5: (Molly location unchanged; lipstick location unchanged) {Molly location: basement; lipstick location: basement's console table; Molly sees lipstick: True; Molly's belief on lipstick: basement's console table}\n- Step 6: (Molly location changed; lipstick location unchanged) {Molly location: craft room; lipstick location: basement's console table; Molly sees lipstick: False; Molly's belief on lipstick: basement's console table}\n- Step 7: (Molly location unchanged; lipstick location unchanged) {Molly location: craft room; lipstick location: basement's console table; Molly sees lipstick: False; Molly's belief on lipstick: basement's console table}\n- Step 8: (Molly location unchanged; lipstick location unchanged) {Molly location: craft room; lipstick location: basement's console table; Molly sees lipstick: False; Molly's belief on lipstick: basement's console table}\n- Step 9: (Molly location unchanged; lipstick location unchanged) {Molly location: craft room; lipstick location: basement's console table; Molly sees lipstick: False; Molly's belief on lipstick: basement's console table}\n- Step 10: (Molly location changed; lipstick location unchanged) {Molly location: basement; lipstick location: basement's console table; Molly sees lipstick: True; Molly's belief on lipstick: basement's console table}\nFinal Answer: the basement's console table","item":{"question":"Where does Molly believe the lipstick is?","story_components":"Agents: [Eric, Molly].\nObjects: [the toy car, the lipstick].\nRooms: [the craft room, the basement].\nContainers: [the craft room's console table, the craft room's coffee table, the basement's console table, the basement's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_120","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the lounge; Rebecca is in the lounge; the pen cap is on the sunroom's stool; the eraser is on the sunroom's stool.\nStep 1: Kayla moves to the sunroom.\nStep 2: Kayla moves the pen cap to the sunroom's counter.\nStep 3: Kayla moves the eraser to the sunroom's counter.\nStep 4: Rebecca moves to the sunroom.\nStep 5: Kayla leaves the room he was in.\nStep 6: Rebecca moves to the lounge.\nStep 7: Kayla enters the lounge.\nStep 8: Rebecca moves to the sunroom.\nStep 9: Kayla moves to the sunroom.\nStep 10: Rebecca moves to the lounge, and moves the pen cap to the lounge's stool.\n\n[QUESTION]\nWhere does Kayla believe the pen cap is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the pen cap:\n- Step 0: (initial state) {Kayla location: lounge; pen cap location: sunroom's stool; Kayla sees pen cap: False; Kayla's belief on pen cap: None}\n- Step 1: (Kayla location changed; pen cap location unchanged) {Kayla location: sunroom; pen cap location: sunroom's stool; Kayla sees pen cap: True; Kayla's belief on pen cap: sunroom's stool}\n- Step 2: (Kayla location unchanged; pen cap location changed) {Kayla location: sunroom; pen cap location: sunroom's counter; Kayla sees pen cap: True; Kayla's belief on pen cap: sunroom's counter}\n- Step 3: (Kayla location unchanged; pen cap location unchanged) {Kayla location: sunroom; pen cap location: sunroom's counter; Kayla sees pen cap: True; Kayla's belief on pen cap: sunroom's counter}\n- Step 4: (Kayla location unchanged; pen cap location unchanged) {Kayla location: sunroom; pen cap location: sunroom's counter; Kayla sees pen cap: True; Kayla's belief on pen cap: sunroom's counter}\n- Step 5: (Kayla location changed; pen cap location unchanged) {Kayla location: None; pen cap location: sunroom's counter; Kayla sees pen cap: False; Kayla's belief on pen cap: sunroom's counter}\n- Step 6: (Kayla location unchanged; pen cap location unchanged) {Kayla location: None; pen cap location: sunroom's counter; Kayla sees pen cap: False; Kayla's belief on pen cap: sunroom's counter}\n- Step 7: (Kayla location changed; pen cap location unchanged) {Kayla location: lounge; pen cap location: sunroom's counter; Kayla sees pen cap: False; Kayla's belief on pen cap: sunroom's counter}\n- Step 8: (Kayla location unchanged; pen cap location unchanged) {Kayla location: lounge; pen cap location: sunroom's counter; Kayla sees pen cap: False; Kayla's belief on pen cap: sunroom's counter}\n- Step 9: (Kayla location changed; pen cap location unchanged) {Kayla location: sunroom; pen cap location: sunroom's counter; Kayla sees pen cap: True; Kayla's belief on pen cap: sunroom's counter}\n- Step 10: (Kayla location unchanged; pen cap location changed) {Kayla location: sunroom; pen cap location: lounge's stool; Kayla sees pen cap: False; Kayla's belief on pen cap: sunroom's counter}\nFinal Answer: the sunroom's counter","item":{"question":"Where does Kayla believe the pen cap is?","story_components":"Agents: [Kayla, Rebecca].\nObjects: [the pen cap, the eraser].\nRooms: [the sunroom, the lounge].\nContainers: [the sunroom's counter, the sunroom's stool, the lounge's counter, the lounge's stool]"}}
+{"instance_id":"tom_tracking_0.5k_121","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: William is in the study; Nicole is in the bathroom; the matchbox is on the study's bench; the battery is on the bathroom's console table.\nStep 1: William moves to the bathroom, and moves the matchbox to the bathroom's console table.\nStep 2: Nicole moves the battery to the bathroom's bench.\nStep 3: William leaves the room he was in.\nStep 4: Nicole moves to the study, and moves the battery to the study's bench.\nStep 5: William enters the study.\nStep 6: Nicole leaves the room he was in.\nStep 7: William moves the battery to the study's console table.\nStep 8: Nicole enters the bathroom.\nStep 9: William moves the battery to the study's bench.\nStep 10: Nicole moves to the study, and moves the matchbox to the study's bench.\n\n[QUESTION]\nWhere does William believe the battery is?\n\n[YOUR ANSWER]","reference_output":"William's belief on the battery:\n- Step 0: (initial state) {William location: study; battery location: bathroom's console table; William sees battery: False; William's belief on battery: None}\n- Step 1: (William location changed; battery location unchanged) {William location: bathroom; battery location: bathroom's console table; William sees battery: True; William's belief on battery: bathroom's console table}\n- Step 2: (William location unchanged; battery location changed) {William location: bathroom; battery location: bathroom's bench; William sees battery: True; William's belief on battery: bathroom's bench}\n- Step 3: (William location changed; battery location unchanged) {William location: None; battery location: bathroom's bench; William sees battery: False; William's belief on battery: bathroom's bench}\n- Step 4: (William location unchanged; battery location changed) {William location: None; battery location: study's bench; William sees battery: False; William's belief on battery: bathroom's bench}\n- Step 5: (William location changed; battery location unchanged) {William location: study; battery location: study's bench; William sees battery: True; William's belief on battery: study's bench}\n- Step 6: (William location unchanged; battery location unchanged) {William location: study; battery location: study's bench; William sees battery: True; William's belief on battery: study's bench}\n- Step 7: (William location unchanged; battery location changed) {William location: study; battery location: study's console table; William sees battery: True; William's belief on battery: study's console table}\n- Step 8: (William location unchanged; battery location unchanged) {William location: study; battery location: study's console table; William sees battery: True; William's belief on battery: study's console table}\n- Step 9: (William location unchanged; battery location changed) {William location: study; battery location: study's bench; William sees battery: True; William's belief on battery: study's bench}\n- Step 10: (William location unchanged; battery location unchanged) {William location: study; battery location: study's bench; William sees battery: True; William's belief on battery: study's bench}\nFinal Answer: the study's bench","item":{"question":"Where does William believe the battery is?","story_components":"Agents: [William, Nicole].\nObjects: [the matchbox, the battery].\nRooms: [the study, the bathroom].\nContainers: [the study's bench, the study's console table, the bathroom's bench, the bathroom's console table]"}}
+{"instance_id":"tom_tracking_0.5k_122","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Travis is in the playroom; Kaitlin is in the playroom; the coin is on the playroom's pallet; the tweezers is on the playroom's pallet.\nStep 1: Travis moves to the basement.\nStep 2: Kaitlin moves the tweezers to the playroom's podium.\nStep 3: Travis moves to the playroom.\nStep 4: Kaitlin moves to the basement.\nStep 5: Travis moves to the basement.\nStep 6: Kaitlin moves to the playroom.\nStep 7: Travis moves to the playroom.\nStep 8: Kaitlin moves the coin to the playroom's podium.\nStep 9: Travis moves to the basement.\nStep 10: Kaitlin moves to the basement, and moves the coin to the basement's podium.\n\n[QUESTION]\nWhere does Kaitlin believe the coin is?\n\n[YOUR ANSWER]","reference_output":"Kaitlin's belief on the coin:\n- Step 0: (initial state) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 1: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 2: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 3: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 4: (Kaitlin location changed; coin location unchanged) {Kaitlin location: basement; coin location: playroom's pallet; Kaitlin sees coin: False; Kaitlin's belief on coin: playroom's pallet}\n- Step 5: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: basement; coin location: playroom's pallet; Kaitlin sees coin: False; Kaitlin's belief on coin: playroom's pallet}\n- Step 6: (Kaitlin location changed; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 7: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's pallet; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's pallet}\n- Step 8: (Kaitlin location unchanged; coin location changed) {Kaitlin location: playroom; coin location: playroom's podium; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's podium}\n- Step 9: (Kaitlin location unchanged; coin location unchanged) {Kaitlin location: playroom; coin location: playroom's podium; Kaitlin sees coin: True; Kaitlin's belief on coin: playroom's podium}\n- Step 10: (Kaitlin location changed; coin location changed) {Kaitlin location: basement; coin location: basement's podium; Kaitlin sees coin: True; Kaitlin's belief on coin: basement's podium}\nFinal Answer: the basement's podium","item":{"question":"Where does Kaitlin believe the coin is?","story_components":"Agents: [Travis, Kaitlin].\nObjects: [the coin, the tweezers].\nRooms: [the playroom, the basement].\nContainers: [the playroom's podium, the playroom's pallet, the basement's podium, the basement's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_123","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Elizabeth is in the mudroom; Alicia is in the mudroom; the bottle cap is on the mudroom's windowsill; the spoon is on the mudroom's windowsill.\nStep 1: Elizabeth moves the spoon to the mudroom's coffee table.\nStep 2: Alicia moves to the bedroom.\nStep 3: Elizabeth moves to the bedroom, and moves the bottle cap to the bedroom's coffee table.\nStep 4: Alicia moves the bottle cap to the bedroom's windowsill.\nStep 5: Elizabeth moves to the mudroom, and moves the bottle cap to the mudroom's windowsill.\nStep 6: Alicia moves to the mudroom.\nStep 7: Elizabeth moves the spoon to the mudroom's windowsill.\nStep 8: Alicia leaves the room he was in.\nStep 9: Elizabeth moves to the bedroom.\nStep 10: Alicia enters the bedroom.\n\n[QUESTION]\nWhere does Alicia believe the bottle cap is?\n\n[YOUR ANSWER]","reference_output":"Alicia's belief on the bottle cap:\n- Step 0: (initial state) {Alicia location: mudroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: True; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 1: (Alicia location unchanged; bottle cap location unchanged) {Alicia location: mudroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: True; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 2: (Alicia location changed; bottle cap location unchanged) {Alicia location: bedroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: False; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 3: (Alicia location unchanged; bottle cap location changed) {Alicia location: bedroom; bottle cap location: bedroom's coffee table; Alicia sees bottle cap: True; Alicia's belief on bottle cap: bedroom's coffee table}\n- Step 4: (Alicia location unchanged; bottle cap location changed) {Alicia location: bedroom; bottle cap location: bedroom's windowsill; Alicia sees bottle cap: True; Alicia's belief on bottle cap: bedroom's windowsill}\n- Step 5: (Alicia location unchanged; bottle cap location changed) {Alicia location: bedroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: False; Alicia's belief on bottle cap: bedroom's windowsill}\n- Step 6: (Alicia location changed; bottle cap location unchanged) {Alicia location: mudroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: True; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 7: (Alicia location unchanged; bottle cap location unchanged) {Alicia location: mudroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: True; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 8: (Alicia location changed; bottle cap location unchanged) {Alicia location: None; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: False; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 9: (Alicia location unchanged; bottle cap location unchanged) {Alicia location: None; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: False; Alicia's belief on bottle cap: mudroom's windowsill}\n- Step 10: (Alicia location changed; bottle cap location unchanged) {Alicia location: bedroom; bottle cap location: mudroom's windowsill; Alicia sees bottle cap: False; Alicia's belief on bottle cap: mudroom's windowsill}\nFinal Answer: the mudroom's windowsill","item":{"question":"Where does Alicia believe the bottle cap is?","story_components":"Agents: [Elizabeth, Alicia].\nObjects: [the bottle cap, the spoon].\nRooms: [the bedroom, the mudroom].\nContainers: [the bedroom's coffee table, the bedroom's windowsill, the mudroom's coffee table, the mudroom's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_124","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the garage; Judy is in the garage; the thread spool is on the game room's buffet; the screw is on the game room's buffet.\nStep 1: Christine moves to the game room.\nStep 2: Judy moves to the game room.\nStep 3: Christine moves to the garage, and moves the screw to the garage's table.\nStep 4: Judy moves the thread spool to the game room's table.\nStep 5: Christine moves to the game room, and moves the screw to the game room's buffet.\nStep 6: Judy moves to the garage.\nStep 7: Christine moves to the garage.\nStep 8: Judy moves to the game room.\nStep 9: Judy moves the thread spool to the game room's buffet.\nStep 10: Judy moves to the garage.\n\n[QUESTION]\nWhere does Christine believe the screw is?\n\n[YOUR ANSWER]","reference_output":"Christine's belief on the screw:\n- Step 0: (initial state) {Christine location: garage; screw location: game room's buffet; Christine sees screw: False; Christine's belief on screw: None}\n- Step 1: (Christine location changed; screw location unchanged) {Christine location: game room; screw location: game room's buffet; Christine sees screw: True; Christine's belief on screw: game room's buffet}\n- Step 2: (Christine location unchanged; screw location unchanged) {Christine location: game room; screw location: game room's buffet; Christine sees screw: True; Christine's belief on screw: game room's buffet}\n- Step 3: (Christine location changed; screw location changed) {Christine location: garage; screw location: garage's table; Christine sees screw: True; Christine's belief on screw: garage's table}\n- Step 4: (Christine location unchanged; screw location unchanged) {Christine location: garage; screw location: garage's table; Christine sees screw: True; Christine's belief on screw: garage's table}\n- Step 5: (Christine location changed; screw location changed) {Christine location: game room; screw location: game room's buffet; Christine sees screw: True; Christine's belief on screw: game room's buffet}\n- Step 6: (Christine location unchanged; screw location unchanged) {Christine location: game room; screw location: game room's buffet; Christine sees screw: True; Christine's belief on screw: game room's buffet}\n- Step 7: (Christine location changed; screw location unchanged) {Christine location: garage; screw location: game room's buffet; Christine sees screw: False; Christine's belief on screw: game room's buffet}\n- Step 8: (Christine location unchanged; screw location unchanged) {Christine location: garage; screw location: game room's buffet; Christine sees screw: False; Christine's belief on screw: game room's buffet}\n- Step 9: (Christine location unchanged; screw location unchanged) {Christine location: garage; screw location: game room's buffet; Christine sees screw: False; Christine's belief on screw: game room's buffet}\n- Step 10: (Christine location unchanged; screw location unchanged) {Christine location: garage; screw location: game room's buffet; Christine sees screw: False; Christine's belief on screw: game room's buffet}\nFinal Answer: the game room's buffet","item":{"question":"Where does Christine believe the screw is?","story_components":"Agents: [Christine, Judy].\nObjects: [the thread spool, the screw].\nRooms: [the game room, the garage].\nContainers: [the game room's buffet, the game room's table, the garage's buffet, the garage's table]"}}
+{"instance_id":"tom_tracking_0.5k_125","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Rebecca is in the dining room; Breanna is in the gym; the bookmark is on the dining room's desk; the paper crane is on the gym's sideboard.\nStep 1: Rebecca moves the bookmark to the dining room's sideboard.\nStep 2: Breanna leaves the room he was in.\nStep 3: Rebecca moves to the gym, and moves the bookmark to the gym's sideboard.\nStep 4: Breanna enters the dining room.\nStep 5: Rebecca leaves the room he was in.\nStep 6: Breanna moves to the gym.\nStep 7: Rebecca enters the dining room.\nStep 8: Breanna moves to the dining room, and moves the paper crane to the dining room's sideboard.\nStep 9: Rebecca moves the paper crane to the dining room's desk.\nStep 10: Breanna leaves the room he was in.\n\n[QUESTION]\nWhere does Breanna believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Breanna's belief on the bookmark:\n- Step 0: (initial state) {Breanna location: gym; bookmark location: dining room's desk; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 1: (Breanna location unchanged; bookmark location changed) {Breanna location: gym; bookmark location: dining room's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 2: (Breanna location changed; bookmark location unchanged) {Breanna location: None; bookmark location: dining room's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 3: (Breanna location unchanged; bookmark location changed) {Breanna location: None; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 4: (Breanna location changed; bookmark location unchanged) {Breanna location: dining room; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 5: (Breanna location unchanged; bookmark location unchanged) {Breanna location: dining room; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: None}\n- Step 6: (Breanna location changed; bookmark location unchanged) {Breanna location: gym; bookmark location: gym's sideboard; Breanna sees bookmark: True; Breanna's belief on bookmark: gym's sideboard}\n- Step 7: (Breanna location unchanged; bookmark location unchanged) {Breanna location: gym; bookmark location: gym's sideboard; Breanna sees bookmark: True; Breanna's belief on bookmark: gym's sideboard}\n- Step 8: (Breanna location changed; bookmark location unchanged) {Breanna location: dining room; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: gym's sideboard}\n- Step 9: (Breanna location unchanged; bookmark location unchanged) {Breanna location: dining room; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: gym's sideboard}\n- Step 10: (Breanna location changed; bookmark location unchanged) {Breanna location: None; bookmark location: gym's sideboard; Breanna sees bookmark: False; Breanna's belief on bookmark: gym's sideboard}\nFinal Answer: the gym's sideboard","item":{"question":"Where does Breanna believe the bookmark is?","story_components":"Agents: [Rebecca, Breanna].\nObjects: [the bookmark, the paper crane].\nRooms: [the dining room, the gym].\nContainers: [the dining room's sideboard, the dining room's desk, the gym's sideboard, the gym's desk]"}}
+{"instance_id":"tom_tracking_0.5k_126","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Breanna is in the gym; Christine is in the library; the condiment packet is on the library's bench; the watch is on the gym's display case.\nStep 1: Breanna leaves the room he was in.\nStep 2: Christine moves to the gym.\nStep 3: Breanna enters the gym.\nStep 4: Christine moves to the library, and moves the watch to the library's display case.\nStep 5: Christine moves to the gym.\nStep 6: Christine moves to the library.\nStep 7: Christine moves the condiment packet to the library's display case.\nStep 8: Christine leaves the room he was in.\nStep 9: Breanna moves to the library.\nStep 10: Christine enters the gym.\n\n[QUESTION]\nWhere does Breanna believe the watch is?\n\n[YOUR ANSWER]","reference_output":"Breanna's belief on the watch:\n- Step 0: (initial state) {Breanna location: gym; watch location: gym's display case; Breanna sees watch: True; Breanna's belief on watch: gym's display case}\n- Step 1: (Breanna location changed; watch location unchanged) {Breanna location: None; watch location: gym's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 2: (Breanna location unchanged; watch location unchanged) {Breanna location: None; watch location: gym's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 3: (Breanna location changed; watch location unchanged) {Breanna location: gym; watch location: gym's display case; Breanna sees watch: True; Breanna's belief on watch: gym's display case}\n- Step 4: (Breanna location unchanged; watch location changed) {Breanna location: gym; watch location: library's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 5: (Breanna location unchanged; watch location unchanged) {Breanna location: gym; watch location: library's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 6: (Breanna location unchanged; watch location unchanged) {Breanna location: gym; watch location: library's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 7: (Breanna location unchanged; watch location unchanged) {Breanna location: gym; watch location: library's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 8: (Breanna location unchanged; watch location unchanged) {Breanna location: gym; watch location: library's display case; Breanna sees watch: False; Breanna's belief on watch: gym's display case}\n- Step 9: (Breanna location changed; watch location unchanged) {Breanna location: library; watch location: library's display case; Breanna sees watch: True; Breanna's belief on watch: library's display case}\n- Step 10: (Breanna location unchanged; watch location unchanged) {Breanna location: library; watch location: library's display case; Breanna sees watch: True; Breanna's belief on watch: library's display case}\nFinal Answer: the library's display case","item":{"question":"Where does Breanna believe the watch is?","story_components":"Agents: [Breanna, Christine].\nObjects: [the condiment packet, the watch].\nRooms: [the library, the gym].\nContainers: [the library's display case, the library's bench, the gym's display case, the gym's bench]"}}
+{"instance_id":"tom_tracking_0.5k_127","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Emily is in the foyer; Ryan is in the game room; the hair tie is on the foyer's tray; the pill bottle is on the game room's tray.\nStep 1: Emily moves the hair tie to the foyer's pallet.\nStep 2: Ryan moves to the foyer.\nStep 3: Emily moves the hair tie to the foyer's tray.\nStep 4: Ryan moves to the game room, and moves the hair tie to the game room's tray.\nStep 5: Ryan moves the pill bottle to the game room's pallet.\nStep 6: Ryan moves to the foyer.\nStep 7: Emily moves to the game room.\nStep 8: Emily moves the pill bottle to the game room's tray.\nStep 9: Emily moves to the foyer.\nStep 10: Ryan moves to the game room.\n\n[QUESTION]\nWhere does Emily believe the hair tie is?\n\n[YOUR ANSWER]","reference_output":"Emily's belief on the hair tie:\n- Step 0: (initial state) {Emily location: foyer; hair tie location: foyer's tray; Emily sees hair tie: True; Emily's belief on hair tie: foyer's tray}\n- Step 1: (Emily location unchanged; hair tie location changed) {Emily location: foyer; hair tie location: foyer's pallet; Emily sees hair tie: True; Emily's belief on hair tie: foyer's pallet}\n- Step 2: (Emily location unchanged; hair tie location unchanged) {Emily location: foyer; hair tie location: foyer's pallet; Emily sees hair tie: True; Emily's belief on hair tie: foyer's pallet}\n- Step 3: (Emily location unchanged; hair tie location changed) {Emily location: foyer; hair tie location: foyer's tray; Emily sees hair tie: True; Emily's belief on hair tie: foyer's tray}\n- Step 4: (Emily location unchanged; hair tie location changed) {Emily location: foyer; hair tie location: game room's tray; Emily sees hair tie: False; Emily's belief on hair tie: foyer's tray}\n- Step 5: (Emily location unchanged; hair tie location unchanged) {Emily location: foyer; hair tie location: game room's tray; Emily sees hair tie: False; Emily's belief on hair tie: foyer's tray}\n- Step 6: (Emily location unchanged; hair tie location unchanged) {Emily location: foyer; hair tie location: game room's tray; Emily sees hair tie: False; Emily's belief on hair tie: foyer's tray}\n- Step 7: (Emily location changed; hair tie location unchanged) {Emily location: game room; hair tie location: game room's tray; Emily sees hair tie: True; Emily's belief on hair tie: game room's tray}\n- Step 8: (Emily location unchanged; hair tie location unchanged) {Emily location: game room; hair tie location: game room's tray; Emily sees hair tie: True; Emily's belief on hair tie: game room's tray}\n- Step 9: (Emily location changed; hair tie location unchanged) {Emily location: foyer; hair tie location: game room's tray; Emily sees hair tie: False; Emily's belief on hair tie: game room's tray}\n- Step 10: (Emily location unchanged; hair tie location unchanged) {Emily location: foyer; hair tie location: game room's tray; Emily sees hair tie: False; Emily's belief on hair tie: game room's tray}\nFinal Answer: the game room's tray","item":{"question":"Where does Emily believe the hair tie is?","story_components":"Agents: [Emily, Ryan].\nObjects: [the hair tie, the pill bottle].\nRooms: [the game room, the foyer].\nContainers: [the game room's tray, the game room's pallet, the foyer's tray, the foyer's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_128","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Laurie is in the dining room; John is in the bedroom; the charger is on the bedroom's coffee table; the fuse is on the bedroom's buffet.\nStep 1: Laurie moves to the bedroom.\nStep 2: John moves the charger to the bedroom's buffet.\nStep 3: Laurie moves the fuse to the bedroom's coffee table.\nStep 4: John moves the fuse to the bedroom's buffet.\nStep 5: Laurie moves the charger to the bedroom's coffee table.\nStep 6: John moves the charger to the bedroom's buffet.\nStep 7: Laurie leaves the room he was in.\nStep 8: John leaves the room he was in.\nStep 9: Laurie enters the bedroom.\nStep 10: John enters the dining room.\n\n[QUESTION]\nWhere does John believe the fuse is?\n\n[YOUR ANSWER]","reference_output":"John's belief on the fuse:\n- Step 0: (initial state) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 1: (John location unchanged; fuse location unchanged) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 2: (John location unchanged; fuse location unchanged) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 3: (John location unchanged; fuse location changed) {John location: bedroom; fuse location: bedroom's coffee table; John sees fuse: True; John's belief on fuse: bedroom's coffee table}\n- Step 4: (John location unchanged; fuse location changed) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 5: (John location unchanged; fuse location unchanged) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 6: (John location unchanged; fuse location unchanged) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 7: (John location unchanged; fuse location unchanged) {John location: bedroom; fuse location: bedroom's buffet; John sees fuse: True; John's belief on fuse: bedroom's buffet}\n- Step 8: (John location changed; fuse location unchanged) {John location: None; fuse location: bedroom's buffet; John sees fuse: False; John's belief on fuse: bedroom's buffet}\n- Step 9: (John location unchanged; fuse location unchanged) {John location: None; fuse location: bedroom's buffet; John sees fuse: False; John's belief on fuse: bedroom's buffet}\n- Step 10: (John location changed; fuse location unchanged) {John location: dining room; fuse location: bedroom's buffet; John sees fuse: False; John's belief on fuse: bedroom's buffet}\nFinal Answer: the bedroom's buffet","item":{"question":"Where does John believe the fuse is?","story_components":"Agents: [Laurie, John].\nObjects: [the charger, the fuse].\nRooms: [the dining room, the bedroom].\nContainers: [the dining room's coffee table, the dining room's buffet, the bedroom's coffee table, the bedroom's buffet]"}}
+{"instance_id":"tom_tracking_0.5k_129","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Haley is in the balcony; Ashley is in the balcony; the flash drive is on the playroom's podium; the bottle cap is on the balcony's pedestal.\nStep 1: Haley moves to the playroom.\nStep 2: Ashley moves to the playroom.\nStep 3: Haley moves the flash drive to the playroom's pedestal.\nStep 4: Ashley moves to the balcony, and moves the flash drive to the balcony's podium.\nStep 5: Haley moves to the balcony.\nStep 6: Ashley moves the bottle cap to the balcony's podium.\nStep 7: Haley moves to the playroom.\nStep 8: Ashley moves the bottle cap to the balcony's pedestal.\nStep 9: Ashley moves to the playroom, and moves the bottle cap to the playroom's pedestal.\nStep 10: Ashley moves to the balcony.\n\n[QUESTION]\nWhere does Haley believe the flash drive is?\n\n[YOUR ANSWER]","reference_output":"Haley's belief on the flash drive:\n- Step 0: (initial state) {Haley location: balcony; flash drive location: playroom's podium; Haley sees flash drive: False; Haley's belief on flash drive: None}\n- Step 1: (Haley location changed; flash drive location unchanged) {Haley location: playroom; flash drive location: playroom's podium; Haley sees flash drive: True; Haley's belief on flash drive: playroom's podium}\n- Step 2: (Haley location unchanged; flash drive location unchanged) {Haley location: playroom; flash drive location: playroom's podium; Haley sees flash drive: True; Haley's belief on flash drive: playroom's podium}\n- Step 3: (Haley location unchanged; flash drive location changed) {Haley location: playroom; flash drive location: playroom's pedestal; Haley sees flash drive: True; Haley's belief on flash drive: playroom's pedestal}\n- Step 4: (Haley location unchanged; flash drive location changed) {Haley location: playroom; flash drive location: balcony's podium; Haley sees flash drive: False; Haley's belief on flash drive: playroom's pedestal}\n- Step 5: (Haley location changed; flash drive location unchanged) {Haley location: balcony; flash drive location: balcony's podium; Haley sees flash drive: True; Haley's belief on flash drive: balcony's podium}\n- Step 6: (Haley location unchanged; flash drive location unchanged) {Haley location: balcony; flash drive location: balcony's podium; Haley sees flash drive: True; Haley's belief on flash drive: balcony's podium}\n- Step 7: (Haley location changed; flash drive location unchanged) {Haley location: playroom; flash drive location: balcony's podium; Haley sees flash drive: False; Haley's belief on flash drive: balcony's podium}\n- Step 8: (Haley location unchanged; flash drive location unchanged) {Haley location: playroom; flash drive location: balcony's podium; Haley sees flash drive: False; Haley's belief on flash drive: balcony's podium}\n- Step 9: (Haley location unchanged; flash drive location unchanged) {Haley location: playroom; flash drive location: balcony's podium; Haley sees flash drive: False; Haley's belief on flash drive: balcony's podium}\n- Step 10: (Haley location unchanged; flash drive location unchanged) {Haley location: playroom; flash drive location: balcony's podium; Haley sees flash drive: False; Haley's belief on flash drive: balcony's podium}\nFinal Answer: the balcony's podium","item":{"question":"Where does Haley believe the flash drive is?","story_components":"Agents: [Haley, Ashley].\nObjects: [the flash drive, the bottle cap].\nRooms: [the balcony, the playroom].\nContainers: [the balcony's pedestal, the balcony's podium, the playroom's pedestal, the playroom's podium]"}}
+{"instance_id":"tom_tracking_0.5k_130","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Savannah is in the hallway; Gregory is in the hallway; the dice is on the bathroom's coffee table; the spoon is on the hallway's buffet.\nStep 1: Savannah moves to the bathroom, and moves the spoon to the bathroom's coffee table.\nStep 2: Gregory moves to the bathroom.\nStep 3: Savannah moves to the hallway, and moves the dice to the hallway's coffee table.\nStep 4: Gregory leaves the room he was in.\nStep 5: Savannah moves the dice to the hallway's buffet.\nStep 6: Gregory enters the hallway.\nStep 7: Savannah leaves the room he was in.\nStep 8: Gregory leaves the room he was in.\nStep 9: Savannah enters the hallway.\nStep 10: Gregory enters the hallway.\n\n[QUESTION]\nWhere does Gregory believe the spoon is?\n\n[YOUR ANSWER]","reference_output":"Gregory's belief on the spoon:\n- Step 0: (initial state) {Gregory location: hallway; spoon location: hallway's buffet; Gregory sees spoon: True; Gregory's belief on spoon: hallway's buffet}\n- Step 1: (Gregory location unchanged; spoon location changed) {Gregory location: hallway; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: hallway's buffet}\n- Step 2: (Gregory location changed; spoon location unchanged) {Gregory location: bathroom; spoon location: bathroom's coffee table; Gregory sees spoon: True; Gregory's belief on spoon: bathroom's coffee table}\n- Step 3: (Gregory location unchanged; spoon location unchanged) {Gregory location: bathroom; spoon location: bathroom's coffee table; Gregory sees spoon: True; Gregory's belief on spoon: bathroom's coffee table}\n- Step 4: (Gregory location changed; spoon location unchanged) {Gregory location: None; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 5: (Gregory location unchanged; spoon location unchanged) {Gregory location: None; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 6: (Gregory location changed; spoon location unchanged) {Gregory location: hallway; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 7: (Gregory location unchanged; spoon location unchanged) {Gregory location: hallway; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 8: (Gregory location changed; spoon location unchanged) {Gregory location: None; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 9: (Gregory location unchanged; spoon location unchanged) {Gregory location: None; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\n- Step 10: (Gregory location changed; spoon location unchanged) {Gregory location: hallway; spoon location: bathroom's coffee table; Gregory sees spoon: False; Gregory's belief on spoon: bathroom's coffee table}\nFinal Answer: the bathroom's coffee table","item":{"question":"Where does Gregory believe the spoon is?","story_components":"Agents: [Savannah, Gregory].\nObjects: [the dice, the spoon].\nRooms: [the bathroom, the hallway].\nContainers: [the bathroom's buffet, the bathroom's coffee table, the hallway's buffet, the hallway's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_131","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stacey is in the playroom; Diana is in the craft room; the ring is on the playroom's pedestal; the charger is on the craft room's pedestal.\nStep 1: Stacey moves to the craft room.\nStep 2: Diana moves the charger to the craft room's rack.\nStep 3: Stacey moves to the playroom, and moves the charger to the playroom's rack.\nStep 4: Stacey moves to the craft room, and moves the ring to the craft room's rack.\nStep 5: Stacey leaves the room he was in.\nStep 6: Diana moves the ring to the craft room's pedestal.\nStep 7: Stacey enters the playroom.\nStep 8: Diana moves the ring to the craft room's rack.\nStep 9: Stacey moves to the craft room, and moves the charger to the craft room's pedestal.\nStep 10: Diana moves the ring to the craft room's pedestal.\n\n[QUESTION]\nWhere does Stacey believe the charger is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the charger:\n- Step 0: (initial state) {Stacey location: playroom; charger location: craft room's pedestal; Stacey sees charger: False; Stacey's belief on charger: None}\n- Step 1: (Stacey location changed; charger location unchanged) {Stacey location: craft room; charger location: craft room's pedestal; Stacey sees charger: True; Stacey's belief on charger: craft room's pedestal}\n- Step 2: (Stacey location unchanged; charger location changed) {Stacey location: craft room; charger location: craft room's rack; Stacey sees charger: True; Stacey's belief on charger: craft room's rack}\n- Step 3: (Stacey location changed; charger location changed) {Stacey location: playroom; charger location: playroom's rack; Stacey sees charger: True; Stacey's belief on charger: playroom's rack}\n- Step 4: (Stacey location changed; charger location unchanged) {Stacey location: craft room; charger location: playroom's rack; Stacey sees charger: False; Stacey's belief on charger: playroom's rack}\n- Step 5: (Stacey location changed; charger location unchanged) {Stacey location: None; charger location: playroom's rack; Stacey sees charger: False; Stacey's belief on charger: playroom's rack}\n- Step 6: (Stacey location unchanged; charger location unchanged) {Stacey location: None; charger location: playroom's rack; Stacey sees charger: False; Stacey's belief on charger: playroom's rack}\n- Step 7: (Stacey location changed; charger location unchanged) {Stacey location: playroom; charger location: playroom's rack; Stacey sees charger: True; Stacey's belief on charger: playroom's rack}\n- Step 8: (Stacey location unchanged; charger location unchanged) {Stacey location: playroom; charger location: playroom's rack; Stacey sees charger: True; Stacey's belief on charger: playroom's rack}\n- Step 9: (Stacey location changed; charger location changed) {Stacey location: craft room; charger location: craft room's pedestal; Stacey sees charger: True; Stacey's belief on charger: craft room's pedestal}\n- Step 10: (Stacey location unchanged; charger location unchanged) {Stacey location: craft room; charger location: craft room's pedestal; Stacey sees charger: True; Stacey's belief on charger: craft room's pedestal}\nFinal Answer: the craft room's pedestal","item":{"question":"Where does Stacey believe the charger is?","story_components":"Agents: [Stacey, Diana].\nObjects: [the ring, the charger].\nRooms: [the playroom, the craft room].\nContainers: [the playroom's rack, the playroom's pedestal, the craft room's rack, the craft room's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_132","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Michael is in the nursery; Alicia is in the nursery; the flashlight is on the nursery's ledge; the medal is on the attic's table.\nStep 1: Michael moves to the attic.\nStep 2: Alicia moves to the attic, and moves the flashlight to the attic's ledge.\nStep 3: Michael moves to the nursery.\nStep 4: Alicia leaves the room he was in.\nStep 5: Michael moves to the attic.\nStep 6: Alicia enters the attic.\nStep 7: Michael leaves the room he was in.\nStep 8: Alicia moves to the nursery.\nStep 9: Michael enters the nursery.\nStep 10: Alicia moves to the attic.\n\n[QUESTION]\nWhere does Alicia believe the medal is?\n\n[YOUR ANSWER]","reference_output":"Alicia's belief on the medal:\n- Step 0: (initial state) {Alicia location: nursery; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: None}\n- Step 1: (Alicia location unchanged; medal location unchanged) {Alicia location: nursery; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: None}\n- Step 2: (Alicia location changed; medal location unchanged) {Alicia location: attic; medal location: attic's table; Alicia sees medal: True; Alicia's belief on medal: attic's table}\n- Step 3: (Alicia location unchanged; medal location unchanged) {Alicia location: attic; medal location: attic's table; Alicia sees medal: True; Alicia's belief on medal: attic's table}\n- Step 4: (Alicia location changed; medal location unchanged) {Alicia location: None; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: attic's table}\n- Step 5: (Alicia location unchanged; medal location unchanged) {Alicia location: None; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: attic's table}\n- Step 6: (Alicia location changed; medal location unchanged) {Alicia location: attic; medal location: attic's table; Alicia sees medal: True; Alicia's belief on medal: attic's table}\n- Step 7: (Alicia location unchanged; medal location unchanged) {Alicia location: attic; medal location: attic's table; Alicia sees medal: True; Alicia's belief on medal: attic's table}\n- Step 8: (Alicia location changed; medal location unchanged) {Alicia location: nursery; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: attic's table}\n- Step 9: (Alicia location unchanged; medal location unchanged) {Alicia location: nursery; medal location: attic's table; Alicia sees medal: False; Alicia's belief on medal: attic's table}\n- Step 10: (Alicia location changed; medal location unchanged) {Alicia location: attic; medal location: attic's table; Alicia sees medal: True; Alicia's belief on medal: attic's table}\nFinal Answer: the attic's table","item":{"question":"Where does Alicia believe the medal is?","story_components":"Agents: [Michael, Alicia].\nObjects: [the flashlight, the medal].\nRooms: [the attic, the nursery].\nContainers: [the attic's table, the attic's ledge, the nursery's table, the nursery's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_133","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the sunroom; Elizabeth is in the sunroom; the pencil sharpener is on the sunroom's table; the sponge is on the sunroom's bench.\nStep 1: Kayla leaves the room he was in.\nStep 2: Elizabeth moves to the playroom.\nStep 3: Kayla enters the sunroom.\nStep 4: Elizabeth moves to the sunroom.\nStep 5: Kayla moves to the playroom.\nStep 6: Elizabeth leaves the room he was in.\nStep 7: Kayla moves to the sunroom.\nStep 8: Elizabeth enters the playroom.\nStep 9: Kayla moves to the playroom.\nStep 10: Elizabeth moves to the sunroom.\n\n[QUESTION]\nWhere does Kayla believe the pencil sharpener is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the pencil sharpener:\n- Step 0: (initial state) {Kayla location: sunroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: True; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 1: (Kayla location changed; pencil sharpener location unchanged) {Kayla location: None; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 2: (Kayla location unchanged; pencil sharpener location unchanged) {Kayla location: None; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 3: (Kayla location changed; pencil sharpener location unchanged) {Kayla location: sunroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: True; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 4: (Kayla location unchanged; pencil sharpener location unchanged) {Kayla location: sunroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: True; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 5: (Kayla location changed; pencil sharpener location unchanged) {Kayla location: playroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 6: (Kayla location unchanged; pencil sharpener location unchanged) {Kayla location: playroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 7: (Kayla location changed; pencil sharpener location unchanged) {Kayla location: sunroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: True; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 8: (Kayla location unchanged; pencil sharpener location unchanged) {Kayla location: sunroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: True; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 9: (Kayla location changed; pencil sharpener location unchanged) {Kayla location: playroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\n- Step 10: (Kayla location unchanged; pencil sharpener location unchanged) {Kayla location: playroom; pencil sharpener location: sunroom's table; Kayla sees pencil sharpener: False; Kayla's belief on pencil sharpener: sunroom's table}\nFinal Answer: the sunroom's table","item":{"question":"Where does Kayla believe the pencil sharpener is?","story_components":"Agents: [Kayla, Elizabeth].\nObjects: [the pencil sharpener, the sponge].\nRooms: [the playroom, the sunroom].\nContainers: [the playroom's table, the playroom's bench, the sunroom's table, the sunroom's bench]"}}
+{"instance_id":"tom_tracking_0.5k_134","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Corey is in the balcony; Kristin is in the craft room; the pill bottle is on the balcony's workbench; the post-it note is on the balcony's console table.\nStep 1: Corey leaves the room he was in.\nStep 2: Kristin moves to the balcony.\nStep 3: Corey enters the balcony.\nStep 4: Kristin moves the post-it note to the balcony's workbench.\nStep 5: Corey moves to the craft room.\nStep 6: Kristin moves the pill bottle to the balcony's console table.\nStep 7: Kristin moves to the craft room, and moves the post-it note to the craft room's workbench.\nStep 8: Kristin moves to the balcony, and moves the post-it note to the balcony's workbench.\nStep 9: Kristin moves to the craft room.\nStep 10: Kristin moves to the balcony.\n\n[QUESTION]\nWhere does Kristin believe the post-it note is?\n\n[YOUR ANSWER]","reference_output":"Kristin's belief on the post-it note:\n- Step 0: (initial state) {Kristin location: craft room; post-it note location: balcony's console table; Kristin sees post-it note: False; Kristin's belief on post-it note: None}\n- Step 1: (Kristin location unchanged; post-it note location unchanged) {Kristin location: craft room; post-it note location: balcony's console table; Kristin sees post-it note: False; Kristin's belief on post-it note: None}\n- Step 2: (Kristin location changed; post-it note location unchanged) {Kristin location: balcony; post-it note location: balcony's console table; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's console table}\n- Step 3: (Kristin location unchanged; post-it note location unchanged) {Kristin location: balcony; post-it note location: balcony's console table; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's console table}\n- Step 4: (Kristin location unchanged; post-it note location changed) {Kristin location: balcony; post-it note location: balcony's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's workbench}\n- Step 5: (Kristin location unchanged; post-it note location unchanged) {Kristin location: balcony; post-it note location: balcony's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's workbench}\n- Step 6: (Kristin location unchanged; post-it note location unchanged) {Kristin location: balcony; post-it note location: balcony's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's workbench}\n- Step 7: (Kristin location changed; post-it note location changed) {Kristin location: craft room; post-it note location: craft room's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: craft room's workbench}\n- Step 8: (Kristin location changed; post-it note location changed) {Kristin location: balcony; post-it note location: balcony's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's workbench}\n- Step 9: (Kristin location changed; post-it note location unchanged) {Kristin location: craft room; post-it note location: balcony's workbench; Kristin sees post-it note: False; Kristin's belief on post-it note: balcony's workbench}\n- Step 10: (Kristin location changed; post-it note location unchanged) {Kristin location: balcony; post-it note location: balcony's workbench; Kristin sees post-it note: True; Kristin's belief on post-it note: balcony's workbench}\nFinal Answer: the balcony's workbench","item":{"question":"Where does Kristin believe the post-it note is?","story_components":"Agents: [Corey, Kristin].\nObjects: [the pill bottle, the post-it note].\nRooms: [the craft room, the balcony].\nContainers: [the craft room's workbench, the craft room's console table, the balcony's workbench, the balcony's console table]"}}
+{"instance_id":"tom_tracking_0.5k_135","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stephanie is in the garage; Lisa is in the playroom; the stress ball is on the garage's sideboard; the bottle cap is on the playroom's mantel.\nStep 1: Stephanie leaves the room he was in.\nStep 2: Lisa moves to the garage, and moves the bottle cap to the garage's mantel.\nStep 3: Stephanie enters the garage.\nStep 4: Lisa moves to the playroom, and moves the stress ball to the playroom's mantel.\nStep 5: Stephanie moves to the playroom, and moves the bottle cap to the playroom's sideboard.\nStep 6: Lisa moves to the garage, and moves the stress ball to the garage's sideboard.\nStep 7: Stephanie moves to the garage.\nStep 8: Lisa leaves the room he was in.\nStep 9: Stephanie moves to the playroom, and moves the stress ball to the playroom's sideboard.\nStep 10: Lisa enters the garage.\n\n[QUESTION]\nWhere does Stephanie believe the stress ball is?\n\n[YOUR ANSWER]","reference_output":"Stephanie's belief on the stress ball:\n- Step 0: (initial state) {Stephanie location: garage; stress ball location: garage's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: garage's sideboard}\n- Step 1: (Stephanie location changed; stress ball location unchanged) {Stephanie location: None; stress ball location: garage's sideboard; Stephanie sees stress ball: False; Stephanie's belief on stress ball: garage's sideboard}\n- Step 2: (Stephanie location unchanged; stress ball location unchanged) {Stephanie location: None; stress ball location: garage's sideboard; Stephanie sees stress ball: False; Stephanie's belief on stress ball: garage's sideboard}\n- Step 3: (Stephanie location changed; stress ball location unchanged) {Stephanie location: garage; stress ball location: garage's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: garage's sideboard}\n- Step 4: (Stephanie location unchanged; stress ball location changed) {Stephanie location: garage; stress ball location: playroom's mantel; Stephanie sees stress ball: False; Stephanie's belief on stress ball: garage's sideboard}\n- Step 5: (Stephanie location changed; stress ball location unchanged) {Stephanie location: playroom; stress ball location: playroom's mantel; Stephanie sees stress ball: True; Stephanie's belief on stress ball: playroom's mantel}\n- Step 6: (Stephanie location unchanged; stress ball location changed) {Stephanie location: playroom; stress ball location: garage's sideboard; Stephanie sees stress ball: False; Stephanie's belief on stress ball: playroom's mantel}\n- Step 7: (Stephanie location changed; stress ball location unchanged) {Stephanie location: garage; stress ball location: garage's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: garage's sideboard}\n- Step 8: (Stephanie location unchanged; stress ball location unchanged) {Stephanie location: garage; stress ball location: garage's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: garage's sideboard}\n- Step 9: (Stephanie location changed; stress ball location changed) {Stephanie location: playroom; stress ball location: playroom's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: playroom's sideboard}\n- Step 10: (Stephanie location unchanged; stress ball location unchanged) {Stephanie location: playroom; stress ball location: playroom's sideboard; Stephanie sees stress ball: True; Stephanie's belief on stress ball: playroom's sideboard}\nFinal Answer: the playroom's sideboard","item":{"question":"Where does Stephanie believe the stress ball is?","story_components":"Agents: [Stephanie, Lisa].\nObjects: [the stress ball, the bottle cap].\nRooms: [the playroom, the garage].\nContainers: [the playroom's sideboard, the playroom's mantel, the garage's sideboard, the garage's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_136","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Travis is in the guest room; Molly is in the guest room; the key fob is on the pantry's windowsill; the thread spool is on the guest room's desk.\nStep 1: Travis moves to the pantry.\nStep 2: Molly moves to the pantry.\nStep 3: Travis leaves the room he was in.\nStep 4: Molly moves to the guest room, and moves the key fob to the guest room's windowsill.\nStep 5: Travis enters the pantry.\nStep 6: Molly moves the thread spool to the guest room's windowsill.\nStep 7: Travis moves to the guest room.\nStep 8: Molly leaves the room he was in.\nStep 9: Travis moves to the pantry, and moves the thread spool to the pantry's desk.\nStep 10: Molly enters the guest room.\n\n[QUESTION]\nWhere does Molly believe the key fob is?\n\n[YOUR ANSWER]","reference_output":"Molly's belief on the key fob:\n- Step 0: (initial state) {Molly location: guest room; key fob location: pantry's windowsill; Molly sees key fob: False; Molly's belief on key fob: None}\n- Step 1: (Molly location unchanged; key fob location unchanged) {Molly location: guest room; key fob location: pantry's windowsill; Molly sees key fob: False; Molly's belief on key fob: None}\n- Step 2: (Molly location changed; key fob location unchanged) {Molly location: pantry; key fob location: pantry's windowsill; Molly sees key fob: True; Molly's belief on key fob: pantry's windowsill}\n- Step 3: (Molly location unchanged; key fob location unchanged) {Molly location: pantry; key fob location: pantry's windowsill; Molly sees key fob: True; Molly's belief on key fob: pantry's windowsill}\n- Step 4: (Molly location changed; key fob location changed) {Molly location: guest room; key fob location: guest room's windowsill; Molly sees key fob: True; Molly's belief on key fob: guest room's windowsill}\n- Step 5: (Molly location unchanged; key fob location unchanged) {Molly location: guest room; key fob location: guest room's windowsill; Molly sees key fob: True; Molly's belief on key fob: guest room's windowsill}\n- Step 6: (Molly location unchanged; key fob location unchanged) {Molly location: guest room; key fob location: guest room's windowsill; Molly sees key fob: True; Molly's belief on key fob: guest room's windowsill}\n- Step 7: (Molly location unchanged; key fob location unchanged) {Molly location: guest room; key fob location: guest room's windowsill; Molly sees key fob: True; Molly's belief on key fob: guest room's windowsill}\n- Step 8: (Molly location changed; key fob location unchanged) {Molly location: None; key fob location: guest room's windowsill; Molly sees key fob: False; Molly's belief on key fob: guest room's windowsill}\n- Step 9: (Molly location unchanged; key fob location unchanged) {Molly location: None; key fob location: guest room's windowsill; Molly sees key fob: False; Molly's belief on key fob: guest room's windowsill}\n- Step 10: (Molly location changed; key fob location unchanged) {Molly location: guest room; key fob location: guest room's windowsill; Molly sees key fob: True; Molly's belief on key fob: guest room's windowsill}\nFinal Answer: the guest room's windowsill","item":{"question":"Where does Molly believe the key fob is?","story_components":"Agents: [Travis, Molly].\nObjects: [the key fob, the thread spool].\nRooms: [the guest room, the pantry].\nContainers: [the guest room's desk, the guest room's windowsill, the pantry's desk, the pantry's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_137","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kevin is in the home theater; Patricia is in the patio; the toy car is on the home theater's tray; the flashlight is on the patio's ledge.\nStep 1: Kevin moves to the patio, and moves the toy car to the patio's ledge.\nStep 2: Patricia moves to the home theater, and moves the flashlight to the home theater's ledge.\nStep 3: Kevin moves to the home theater.\nStep 4: Patricia leaves the room he was in.\nStep 5: Kevin leaves the room he was in.\nStep 6: Patricia enters the home theater.\nStep 7: Kevin enters the patio.\nStep 8: Patricia moves to the patio, and moves the flashlight to the patio's tray.\nStep 9: Kevin moves to the home theater.\nStep 10: Patricia leaves the room he was in.\n\n[QUESTION]\nWhere does Kevin believe the flashlight is?\n\n[YOUR ANSWER]","reference_output":"Kevin's belief on the flashlight:\n- Step 0: (initial state) {Kevin location: home theater; flashlight location: patio's ledge; Kevin sees flashlight: False; Kevin's belief on flashlight: None}\n- Step 1: (Kevin location changed; flashlight location unchanged) {Kevin location: patio; flashlight location: patio's ledge; Kevin sees flashlight: True; Kevin's belief on flashlight: patio's ledge}\n- Step 2: (Kevin location unchanged; flashlight location changed) {Kevin location: patio; flashlight location: home theater's ledge; Kevin sees flashlight: False; Kevin's belief on flashlight: patio's ledge}\n- Step 3: (Kevin location changed; flashlight location unchanged) {Kevin location: home theater; flashlight location: home theater's ledge; Kevin sees flashlight: True; Kevin's belief on flashlight: home theater's ledge}\n- Step 4: (Kevin location unchanged; flashlight location unchanged) {Kevin location: home theater; flashlight location: home theater's ledge; Kevin sees flashlight: True; Kevin's belief on flashlight: home theater's ledge}\n- Step 5: (Kevin location changed; flashlight location unchanged) {Kevin location: None; flashlight location: home theater's ledge; Kevin sees flashlight: False; Kevin's belief on flashlight: home theater's ledge}\n- Step 6: (Kevin location unchanged; flashlight location unchanged) {Kevin location: None; flashlight location: home theater's ledge; Kevin sees flashlight: False; Kevin's belief on flashlight: home theater's ledge}\n- Step 7: (Kevin location changed; flashlight location unchanged) {Kevin location: patio; flashlight location: home theater's ledge; Kevin sees flashlight: False; Kevin's belief on flashlight: home theater's ledge}\n- Step 8: (Kevin location unchanged; flashlight location changed) {Kevin location: patio; flashlight location: patio's tray; Kevin sees flashlight: True; Kevin's belief on flashlight: patio's tray}\n- Step 9: (Kevin location changed; flashlight location unchanged) {Kevin location: home theater; flashlight location: patio's tray; Kevin sees flashlight: False; Kevin's belief on flashlight: patio's tray}\n- Step 10: (Kevin location unchanged; flashlight location unchanged) {Kevin location: home theater; flashlight location: patio's tray; Kevin sees flashlight: False; Kevin's belief on flashlight: patio's tray}\nFinal Answer: the patio's tray","item":{"question":"Where does Kevin believe the flashlight is?","story_components":"Agents: [Kevin, Patricia].\nObjects: [the toy car, the flashlight].\nRooms: [the home theater, the patio].\nContainers: [the home theater's ledge, the home theater's tray, the patio's ledge, the patio's tray]"}}
+{"instance_id":"tom_tracking_0.5k_138","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kenneth is in the living room; Robert is in the kitchen; the lip balm is on the living room's console table; the nail clipper is on the living room's display case.\nStep 1: Kenneth leaves the room he was in.\nStep 2: Robert moves to the living room.\nStep 3: Kenneth enters the kitchen.\nStep 4: Robert moves the lip balm to the living room's display case.\nStep 5: Kenneth moves to the living room.\nStep 6: Robert leaves the room he was in.\nStep 7: Kenneth leaves the room he was in.\nStep 8: Robert enters the kitchen.\nStep 9: Kenneth enters the living room.\nStep 10: Kenneth moves to the kitchen.\n\n[QUESTION]\nWhere does Kenneth believe the nail clipper is?\n\n[YOUR ANSWER]","reference_output":"Kenneth's belief on the nail clipper:\n- Step 0: (initial state) {Kenneth location: living room; nail clipper location: living room's display case; Kenneth sees nail clipper: True; Kenneth's belief on nail clipper: living room's display case}\n- Step 1: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: None; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 2: (Kenneth location unchanged; nail clipper location unchanged) {Kenneth location: None; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 3: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: kitchen; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 4: (Kenneth location unchanged; nail clipper location unchanged) {Kenneth location: kitchen; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 5: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: living room; nail clipper location: living room's display case; Kenneth sees nail clipper: True; Kenneth's belief on nail clipper: living room's display case}\n- Step 6: (Kenneth location unchanged; nail clipper location unchanged) {Kenneth location: living room; nail clipper location: living room's display case; Kenneth sees nail clipper: True; Kenneth's belief on nail clipper: living room's display case}\n- Step 7: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: None; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 8: (Kenneth location unchanged; nail clipper location unchanged) {Kenneth location: None; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\n- Step 9: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: living room; nail clipper location: living room's display case; Kenneth sees nail clipper: True; Kenneth's belief on nail clipper: living room's display case}\n- Step 10: (Kenneth location changed; nail clipper location unchanged) {Kenneth location: kitchen; nail clipper location: living room's display case; Kenneth sees nail clipper: False; Kenneth's belief on nail clipper: living room's display case}\nFinal Answer: the living room's display case","item":{"question":"Where does Kenneth believe the nail clipper is?","story_components":"Agents: [Kenneth, Robert].\nObjects: [the lip balm, the nail clipper].\nRooms: [the kitchen, the living room].\nContainers: [the kitchen's console table, the kitchen's display case, the living room's console table, the living room's display case]"}}
+{"instance_id":"tom_tracking_0.5k_139","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mitchell is in the attic; Laurie is in the kitchen; the cufflink is on the attic's podium; the soap bar is on the attic's podium.\nStep 1: Mitchell leaves the room he was in.\nStep 2: Laurie moves to the attic.\nStep 3: Mitchell enters the attic.\nStep 4: Laurie moves to the kitchen.\nStep 5: Mitchell moves the cufflink to the attic's ledge.\nStep 6: Laurie moves to the attic.\nStep 7: Mitchell moves the soap bar to the attic's ledge.\nStep 8: Laurie moves to the kitchen, and moves the soap bar to the kitchen's ledge.\nStep 9: Mitchell moves to the kitchen, and moves the cufflink to the kitchen's ledge.\nStep 10: Laurie leaves the room he was in.\n\n[QUESTION]\nWhere does Mitchell believe the soap bar is?\n\n[YOUR ANSWER]","reference_output":"Mitchell's belief on the soap bar:\n- Step 0: (initial state) {Mitchell location: attic; soap bar location: attic's podium; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's podium}\n- Step 1: (Mitchell location changed; soap bar location unchanged) {Mitchell location: None; soap bar location: attic's podium; Mitchell sees soap bar: False; Mitchell's belief on soap bar: attic's podium}\n- Step 2: (Mitchell location unchanged; soap bar location unchanged) {Mitchell location: None; soap bar location: attic's podium; Mitchell sees soap bar: False; Mitchell's belief on soap bar: attic's podium}\n- Step 3: (Mitchell location changed; soap bar location unchanged) {Mitchell location: attic; soap bar location: attic's podium; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's podium}\n- Step 4: (Mitchell location unchanged; soap bar location unchanged) {Mitchell location: attic; soap bar location: attic's podium; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's podium}\n- Step 5: (Mitchell location unchanged; soap bar location unchanged) {Mitchell location: attic; soap bar location: attic's podium; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's podium}\n- Step 6: (Mitchell location unchanged; soap bar location unchanged) {Mitchell location: attic; soap bar location: attic's podium; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's podium}\n- Step 7: (Mitchell location unchanged; soap bar location changed) {Mitchell location: attic; soap bar location: attic's ledge; Mitchell sees soap bar: True; Mitchell's belief on soap bar: attic's ledge}\n- Step 8: (Mitchell location unchanged; soap bar location changed) {Mitchell location: attic; soap bar location: kitchen's ledge; Mitchell sees soap bar: False; Mitchell's belief on soap bar: attic's ledge}\n- Step 9: (Mitchell location changed; soap bar location unchanged) {Mitchell location: kitchen; soap bar location: kitchen's ledge; Mitchell sees soap bar: True; Mitchell's belief on soap bar: kitchen's ledge}\n- Step 10: (Mitchell location unchanged; soap bar location unchanged) {Mitchell location: kitchen; soap bar location: kitchen's ledge; Mitchell sees soap bar: True; Mitchell's belief on soap bar: kitchen's ledge}\nFinal Answer: the kitchen's ledge","item":{"question":"Where does Mitchell believe the soap bar is?","story_components":"Agents: [Mitchell, Laurie].\nObjects: [the cufflink, the soap bar].\nRooms: [the attic, the kitchen].\nContainers: [the attic's podium, the attic's ledge, the kitchen's podium, the kitchen's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_140","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the craft room; Angela is in the craft room; the orange is on the office's rack; the magnet is on the craft room's rack.\nStep 1: Chris moves the magnet to the craft room's bench.\nStep 2: Angela leaves the room he was in.\nStep 3: Chris leaves the room he was in.\nStep 4: Angela enters the office.\nStep 5: Chris enters the craft room.\nStep 6: Angela leaves the room he was in.\nStep 7: Chris moves to the office, and moves the magnet to the office's bench.\nStep 8: Angela enters the craft room.\nStep 9: Chris moves to the craft room.\nStep 10: Angela moves to the office.\n\n[QUESTION]\nWhere does Angela believe the orange is?\n\n[YOUR ANSWER]","reference_output":"Angela's belief on the orange:\n- Step 0: (initial state) {Angela location: craft room; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: None}\n- Step 1: (Angela location unchanged; orange location unchanged) {Angela location: craft room; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: None}\n- Step 2: (Angela location changed; orange location unchanged) {Angela location: None; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: None}\n- Step 3: (Angela location unchanged; orange location unchanged) {Angela location: None; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: None}\n- Step 4: (Angela location changed; orange location unchanged) {Angela location: office; orange location: office's rack; Angela sees orange: True; Angela's belief on orange: office's rack}\n- Step 5: (Angela location unchanged; orange location unchanged) {Angela location: office; orange location: office's rack; Angela sees orange: True; Angela's belief on orange: office's rack}\n- Step 6: (Angela location changed; orange location unchanged) {Angela location: None; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: office's rack}\n- Step 7: (Angela location unchanged; orange location unchanged) {Angela location: None; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: office's rack}\n- Step 8: (Angela location changed; orange location unchanged) {Angela location: craft room; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: office's rack}\n- Step 9: (Angela location unchanged; orange location unchanged) {Angela location: craft room; orange location: office's rack; Angela sees orange: False; Angela's belief on orange: office's rack}\n- Step 10: (Angela location changed; orange location unchanged) {Angela location: office; orange location: office's rack; Angela sees orange: True; Angela's belief on orange: office's rack}\nFinal Answer: the office's rack","item":{"question":"Where does Angela believe the orange is?","story_components":"Agents: [Chris, Angela].\nObjects: [the orange, the magnet].\nRooms: [the office, the craft room].\nContainers: [the office's bench, the office's rack, the craft room's bench, the craft room's rack]"}}
+{"instance_id":"tom_tracking_0.5k_141","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Danny is in the gym; William is in the dining room; the sewing needle is on the dining room's stand; the playing marble is on the dining room's stand.\nStep 1: Danny moves to the dining room.\nStep 2: William leaves the room he was in.\nStep 3: Danny moves to the gym.\nStep 4: William enters the gym.\nStep 5: Danny moves to the dining room.\nStep 6: Danny moves the sewing needle to the dining room's mantel.\nStep 7: Danny moves the playing marble to the dining room's mantel.\nStep 8: Danny moves to the gym.\nStep 9: Danny moves to the dining room.\nStep 10: Danny leaves the room he was in.\n\n[QUESTION]\nWhere does William believe the playing marble is?\n\n[YOUR ANSWER]","reference_output":"William's belief on the playing marble:\n- Step 0: (initial state) {William location: dining room; playing marble location: dining room's stand; William sees playing marble: True; William's belief on playing marble: dining room's stand}\n- Step 1: (William location unchanged; playing marble location unchanged) {William location: dining room; playing marble location: dining room's stand; William sees playing marble: True; William's belief on playing marble: dining room's stand}\n- Step 2: (William location changed; playing marble location unchanged) {William location: None; playing marble location: dining room's stand; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 3: (William location unchanged; playing marble location unchanged) {William location: None; playing marble location: dining room's stand; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 4: (William location changed; playing marble location unchanged) {William location: gym; playing marble location: dining room's stand; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 5: (William location unchanged; playing marble location unchanged) {William location: gym; playing marble location: dining room's stand; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 6: (William location unchanged; playing marble location unchanged) {William location: gym; playing marble location: dining room's stand; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 7: (William location unchanged; playing marble location changed) {William location: gym; playing marble location: dining room's mantel; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 8: (William location unchanged; playing marble location unchanged) {William location: gym; playing marble location: dining room's mantel; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 9: (William location unchanged; playing marble location unchanged) {William location: gym; playing marble location: dining room's mantel; William sees playing marble: False; William's belief on playing marble: dining room's stand}\n- Step 10: (William location unchanged; playing marble location unchanged) {William location: gym; playing marble location: dining room's mantel; William sees playing marble: False; William's belief on playing marble: dining room's stand}\nFinal Answer: the dining room's stand","item":{"question":"Where does William believe the playing marble is?","story_components":"Agents: [Danny, William].\nObjects: [the sewing needle, the playing marble].\nRooms: [the gym, the dining room].\nContainers: [the gym's stand, the gym's mantel, the dining room's stand, the dining room's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_142","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Mitchell is in the basement; Alicia is in the guest room; the toothpick is on the guest room's tv stand; the phone is on the basement's tv stand.\nStep 1: Mitchell moves to the guest room, and moves the phone to the guest room's credenza.\nStep 2: Alicia moves to the basement, and moves the toothpick to the basement's tv stand.\nStep 3: Mitchell moves the phone to the guest room's tv stand.\nStep 4: Alicia moves to the guest room.\nStep 5: Mitchell leaves the room he was in.\nStep 6: Alicia moves to the basement.\nStep 7: Mitchell enters the basement.\nStep 8: Alicia moves to the guest room, and moves the toothpick to the guest room's tv stand.\nStep 9: Alicia moves to the basement, and moves the phone to the basement's tv stand.\nStep 10: Alicia moves the phone to the basement's credenza.\n\n[QUESTION]\nWhere does Alicia believe the phone is?\n\n[YOUR ANSWER]","reference_output":"Alicia's belief on the phone:\n- Step 0: (initial state) {Alicia location: guest room; phone location: basement's tv stand; Alicia sees phone: False; Alicia's belief on phone: None}\n- Step 1: (Alicia location unchanged; phone location changed) {Alicia location: guest room; phone location: guest room's credenza; Alicia sees phone: True; Alicia's belief on phone: guest room's credenza}\n- Step 2: (Alicia location changed; phone location unchanged) {Alicia location: basement; phone location: guest room's credenza; Alicia sees phone: False; Alicia's belief on phone: guest room's credenza}\n- Step 3: (Alicia location unchanged; phone location changed) {Alicia location: basement; phone location: guest room's tv stand; Alicia sees phone: False; Alicia's belief on phone: guest room's credenza}\n- Step 4: (Alicia location changed; phone location unchanged) {Alicia location: guest room; phone location: guest room's tv stand; Alicia sees phone: True; Alicia's belief on phone: guest room's tv stand}\n- Step 5: (Alicia location unchanged; phone location unchanged) {Alicia location: guest room; phone location: guest room's tv stand; Alicia sees phone: True; Alicia's belief on phone: guest room's tv stand}\n- Step 6: (Alicia location changed; phone location unchanged) {Alicia location: basement; phone location: guest room's tv stand; Alicia sees phone: False; Alicia's belief on phone: guest room's tv stand}\n- Step 7: (Alicia location unchanged; phone location unchanged) {Alicia location: basement; phone location: guest room's tv stand; Alicia sees phone: False; Alicia's belief on phone: guest room's tv stand}\n- Step 8: (Alicia location changed; phone location unchanged) {Alicia location: guest room; phone location: guest room's tv stand; Alicia sees phone: True; Alicia's belief on phone: guest room's tv stand}\n- Step 9: (Alicia location changed; phone location changed) {Alicia location: basement; phone location: basement's tv stand; Alicia sees phone: True; Alicia's belief on phone: basement's tv stand}\n- Step 10: (Alicia location unchanged; phone location changed) {Alicia location: basement; phone location: basement's credenza; Alicia sees phone: True; Alicia's belief on phone: basement's credenza}\nFinal Answer: the basement's credenza","item":{"question":"Where does Alicia believe the phone is?","story_components":"Agents: [Mitchell, Alicia].\nObjects: [the toothpick, the phone].\nRooms: [the basement, the guest room].\nContainers: [the basement's credenza, the basement's tv stand, the guest room's credenza, the guest room's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_143","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Angela is in the living room; Savannah is in the study; the matchbox is on the study's counter; the eraser cap is on the study's windowsill.\nStep 1: Angela moves to the study.\nStep 2: Savannah moves to the living room, and moves the eraser cap to the living room's windowsill.\nStep 3: Angela leaves the room he was in.\nStep 4: Savannah moves the eraser cap to the living room's counter.\nStep 5: Angela enters the living room.\nStep 6: Savannah leaves the room he was in.\nStep 7: Angela moves to the study, and moves the eraser cap to the study's counter.\nStep 8: Savannah enters the study.\nStep 9: Angela moves the matchbox to the study's windowsill.\nStep 10: Savannah moves the matchbox to the study's counter.\n\n[QUESTION]\nWhere does Savannah believe the eraser cap is?\n\n[YOUR ANSWER]","reference_output":"Savannah's belief on the eraser cap:\n- Step 0: (initial state) {Savannah location: study; eraser cap location: study's windowsill; Savannah sees eraser cap: True; Savannah's belief on eraser cap: study's windowsill}\n- Step 1: (Savannah location unchanged; eraser cap location unchanged) {Savannah location: study; eraser cap location: study's windowsill; Savannah sees eraser cap: True; Savannah's belief on eraser cap: study's windowsill}\n- Step 2: (Savannah location changed; eraser cap location changed) {Savannah location: living room; eraser cap location: living room's windowsill; Savannah sees eraser cap: True; Savannah's belief on eraser cap: living room's windowsill}\n- Step 3: (Savannah location unchanged; eraser cap location unchanged) {Savannah location: living room; eraser cap location: living room's windowsill; Savannah sees eraser cap: True; Savannah's belief on eraser cap: living room's windowsill}\n- Step 4: (Savannah location unchanged; eraser cap location changed) {Savannah location: living room; eraser cap location: living room's counter; Savannah sees eraser cap: True; Savannah's belief on eraser cap: living room's counter}\n- Step 5: (Savannah location unchanged; eraser cap location unchanged) {Savannah location: living room; eraser cap location: living room's counter; Savannah sees eraser cap: True; Savannah's belief on eraser cap: living room's counter}\n- Step 6: (Savannah location changed; eraser cap location unchanged) {Savannah location: None; eraser cap location: living room's counter; Savannah sees eraser cap: False; Savannah's belief on eraser cap: living room's counter}\n- Step 7: (Savannah location unchanged; eraser cap location changed) {Savannah location: None; eraser cap location: study's counter; Savannah sees eraser cap: False; Savannah's belief on eraser cap: living room's counter}\n- Step 8: (Savannah location changed; eraser cap location unchanged) {Savannah location: study; eraser cap location: study's counter; Savannah sees eraser cap: True; Savannah's belief on eraser cap: study's counter}\n- Step 9: (Savannah location unchanged; eraser cap location unchanged) {Savannah location: study; eraser cap location: study's counter; Savannah sees eraser cap: True; Savannah's belief on eraser cap: study's counter}\n- Step 10: (Savannah location unchanged; eraser cap location unchanged) {Savannah location: study; eraser cap location: study's counter; Savannah sees eraser cap: True; Savannah's belief on eraser cap: study's counter}\nFinal Answer: the study's counter","item":{"question":"Where does Savannah believe the eraser cap is?","story_components":"Agents: [Angela, Savannah].\nObjects: [the matchbox, the eraser cap].\nRooms: [the living room, the study].\nContainers: [the living room's counter, the living room's windowsill, the study's counter, the study's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_144","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Savannah is in the balcony; Shelly is in the balcony; the chess piece is on the basement's display case; the ticket is on the basement's display case.\nStep 1: Savannah moves to the basement.\nStep 2: Savannah moves the ticket to the basement's counter.\nStep 3: Savannah moves the chess piece to the basement's counter.\nStep 4: Savannah leaves the room he was in.\nStep 5: Savannah enters the balcony.\nStep 6: Shelly moves to the basement.\nStep 7: Shelly leaves the room he was in.\nStep 8: Shelly enters the balcony.\nStep 9: Savannah moves to the basement.\nStep 10: Shelly moves to the basement.\n\n[QUESTION]\nWhere does Savannah believe the chess piece is?\n\n[YOUR ANSWER]","reference_output":"Savannah's belief on the chess piece:\n- Step 0: (initial state) {Savannah location: balcony; chess piece location: basement's display case; Savannah sees chess piece: False; Savannah's belief on chess piece: None}\n- Step 1: (Savannah location changed; chess piece location unchanged) {Savannah location: basement; chess piece location: basement's display case; Savannah sees chess piece: True; Savannah's belief on chess piece: basement's display case}\n- Step 2: (Savannah location unchanged; chess piece location unchanged) {Savannah location: basement; chess piece location: basement's display case; Savannah sees chess piece: True; Savannah's belief on chess piece: basement's display case}\n- Step 3: (Savannah location unchanged; chess piece location changed) {Savannah location: basement; chess piece location: basement's counter; Savannah sees chess piece: True; Savannah's belief on chess piece: basement's counter}\n- Step 4: (Savannah location changed; chess piece location unchanged) {Savannah location: None; chess piece location: basement's counter; Savannah sees chess piece: False; Savannah's belief on chess piece: basement's counter}\n- Step 5: (Savannah location changed; chess piece location unchanged) {Savannah location: balcony; chess piece location: basement's counter; Savannah sees chess piece: False; Savannah's belief on chess piece: basement's counter}\n- Step 6: (Savannah location unchanged; chess piece location unchanged) {Savannah location: balcony; chess piece location: basement's counter; Savannah sees chess piece: False; Savannah's belief on chess piece: basement's counter}\n- Step 7: (Savannah location unchanged; chess piece location unchanged) {Savannah location: balcony; chess piece location: basement's counter; Savannah sees chess piece: False; Savannah's belief on chess piece: basement's counter}\n- Step 8: (Savannah location unchanged; chess piece location unchanged) {Savannah location: balcony; chess piece location: basement's counter; Savannah sees chess piece: False; Savannah's belief on chess piece: basement's counter}\n- Step 9: (Savannah location changed; chess piece location unchanged) {Savannah location: basement; chess piece location: basement's counter; Savannah sees chess piece: True; Savannah's belief on chess piece: basement's counter}\n- Step 10: (Savannah location unchanged; chess piece location unchanged) {Savannah location: basement; chess piece location: basement's counter; Savannah sees chess piece: True; Savannah's belief on chess piece: basement's counter}\nFinal Answer: the basement's counter","item":{"question":"Where does Savannah believe the chess piece is?","story_components":"Agents: [Savannah, Shelly].\nObjects: [the chess piece, the ticket].\nRooms: [the basement, the balcony].\nContainers: [the basement's display case, the basement's counter, the balcony's display case, the balcony's counter]"}}
+{"instance_id":"tom_tracking_0.5k_145","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Margaret is in the bedroom; John is in the study; the key fob is on the study's bistro table; the mini stapler is on the bedroom's rack.\nStep 1: Margaret moves to the study, and moves the mini stapler to the study's rack.\nStep 2: John moves the key fob to the study's rack.\nStep 3: Margaret moves to the bedroom.\nStep 4: John moves the mini stapler to the study's bistro table.\nStep 5: Margaret moves to the study.\nStep 6: John leaves the room he was in.\nStep 7: Margaret moves to the bedroom.\nStep 8: John enters the bedroom.\nStep 9: Margaret moves to the study.\nStep 10: John moves to the study.\n\n[QUESTION]\nWhere does Margaret believe the key fob is?\n\n[YOUR ANSWER]","reference_output":"Margaret's belief on the key fob:\n- Step 0: (initial state) {Margaret location: bedroom; key fob location: study's bistro table; Margaret sees key fob: False; Margaret's belief on key fob: None}\n- Step 1: (Margaret location changed; key fob location unchanged) {Margaret location: study; key fob location: study's bistro table; Margaret sees key fob: True; Margaret's belief on key fob: study's bistro table}\n- Step 2: (Margaret location unchanged; key fob location changed) {Margaret location: study; key fob location: study's rack; Margaret sees key fob: True; Margaret's belief on key fob: study's rack}\n- Step 3: (Margaret location changed; key fob location unchanged) {Margaret location: bedroom; key fob location: study's rack; Margaret sees key fob: False; Margaret's belief on key fob: study's rack}\n- Step 4: (Margaret location unchanged; key fob location unchanged) {Margaret location: bedroom; key fob location: study's rack; Margaret sees key fob: False; Margaret's belief on key fob: study's rack}\n- Step 5: (Margaret location changed; key fob location unchanged) {Margaret location: study; key fob location: study's rack; Margaret sees key fob: True; Margaret's belief on key fob: study's rack}\n- Step 6: (Margaret location unchanged; key fob location unchanged) {Margaret location: study; key fob location: study's rack; Margaret sees key fob: True; Margaret's belief on key fob: study's rack}\n- Step 7: (Margaret location changed; key fob location unchanged) {Margaret location: bedroom; key fob location: study's rack; Margaret sees key fob: False; Margaret's belief on key fob: study's rack}\n- Step 8: (Margaret location unchanged; key fob location unchanged) {Margaret location: bedroom; key fob location: study's rack; Margaret sees key fob: False; Margaret's belief on key fob: study's rack}\n- Step 9: (Margaret location changed; key fob location unchanged) {Margaret location: study; key fob location: study's rack; Margaret sees key fob: True; Margaret's belief on key fob: study's rack}\n- Step 10: (Margaret location unchanged; key fob location unchanged) {Margaret location: study; key fob location: study's rack; Margaret sees key fob: True; Margaret's belief on key fob: study's rack}\nFinal Answer: the study's rack","item":{"question":"Where does Margaret believe the key fob is?","story_components":"Agents: [Margaret, John].\nObjects: [the key fob, the mini stapler].\nRooms: [the study, the bedroom].\nContainers: [the study's rack, the study's bistro table, the bedroom's rack, the bedroom's bistro table]"}}
+{"instance_id":"tom_tracking_0.5k_146","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Nicholas is in the library; Catherine is in the library; the pen drive is on the library's shelf; the light bulb is on the bedroom's shelf.\nStep 1: Nicholas moves the pen drive to the library's tray.\nStep 2: Catherine moves the pen drive to the library's shelf.\nStep 3: Nicholas moves the pen drive to the library's tray.\nStep 4: Catherine moves the pen drive to the library's shelf.\nStep 5: Nicholas leaves the room he was in.\nStep 6: Catherine moves to the bedroom, and moves the pen drive to the bedroom's shelf.\nStep 7: Nicholas enters the bedroom.\nStep 8: Catherine moves to the library, and moves the light bulb to the library's tray.\nStep 9: Nicholas moves to the library, and moves the pen drive to the library's shelf.\nStep 10: Catherine moves to the bedroom.\n\n[QUESTION]\nWhere does Catherine believe the light bulb is?\n\n[YOUR ANSWER]","reference_output":"Catherine's belief on the light bulb:\n- Step 0: (initial state) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 1: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 2: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 3: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 4: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 5: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: bedroom's shelf; Catherine sees light bulb: False; Catherine's belief on light bulb: None}\n- Step 6: (Catherine location changed; light bulb location unchanged) {Catherine location: bedroom; light bulb location: bedroom's shelf; Catherine sees light bulb: True; Catherine's belief on light bulb: bedroom's shelf}\n- Step 7: (Catherine location unchanged; light bulb location unchanged) {Catherine location: bedroom; light bulb location: bedroom's shelf; Catherine sees light bulb: True; Catherine's belief on light bulb: bedroom's shelf}\n- Step 8: (Catherine location changed; light bulb location changed) {Catherine location: library; light bulb location: library's tray; Catherine sees light bulb: True; Catherine's belief on light bulb: library's tray}\n- Step 9: (Catherine location unchanged; light bulb location unchanged) {Catherine location: library; light bulb location: library's tray; Catherine sees light bulb: True; Catherine's belief on light bulb: library's tray}\n- Step 10: (Catherine location changed; light bulb location unchanged) {Catherine location: bedroom; light bulb location: library's tray; Catherine sees light bulb: False; Catherine's belief on light bulb: library's tray}\nFinal Answer: the library's tray","item":{"question":"Where does Catherine believe the light bulb is?","story_components":"Agents: [Nicholas, Catherine].\nObjects: [the pen drive, the light bulb].\nRooms: [the library, the bedroom].\nContainers: [the library's tray, the library's shelf, the bedroom's tray, the bedroom's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_147","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Caroline is in the guest room; Mitchell is in the sauna; the stress ball is on the sauna's counter; the pencil is on the sauna's counter.\nStep 1: Caroline moves to the sauna.\nStep 2: Mitchell moves to the guest room, and moves the pencil to the guest room's buffet.\nStep 3: Caroline moves to the guest room, and moves the stress ball to the guest room's counter.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Caroline moves to the sauna, and moves the pencil to the sauna's buffet.\nStep 6: Mitchell enters the guest room.\nStep 7: Caroline moves to the guest room.\nStep 8: Mitchell moves the stress ball to the guest room's buffet.\nStep 9: Caroline moves the stress ball to the guest room's counter.\nStep 10: Mitchell moves to the sauna.\n\n[QUESTION]\nWhere does Caroline believe the stress ball is?\n\n[YOUR ANSWER]","reference_output":"Caroline's belief on the stress ball:\n- Step 0: (initial state) {Caroline location: guest room; stress ball location: sauna's counter; Caroline sees stress ball: False; Caroline's belief on stress ball: None}\n- Step 1: (Caroline location changed; stress ball location unchanged) {Caroline location: sauna; stress ball location: sauna's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: sauna's counter}\n- Step 2: (Caroline location unchanged; stress ball location unchanged) {Caroline location: sauna; stress ball location: sauna's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: sauna's counter}\n- Step 3: (Caroline location changed; stress ball location changed) {Caroline location: guest room; stress ball location: guest room's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's counter}\n- Step 4: (Caroline location unchanged; stress ball location unchanged) {Caroline location: guest room; stress ball location: guest room's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's counter}\n- Step 5: (Caroline location changed; stress ball location unchanged) {Caroline location: sauna; stress ball location: guest room's counter; Caroline sees stress ball: False; Caroline's belief on stress ball: guest room's counter}\n- Step 6: (Caroline location unchanged; stress ball location unchanged) {Caroline location: sauna; stress ball location: guest room's counter; Caroline sees stress ball: False; Caroline's belief on stress ball: guest room's counter}\n- Step 7: (Caroline location changed; stress ball location unchanged) {Caroline location: guest room; stress ball location: guest room's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's counter}\n- Step 8: (Caroline location unchanged; stress ball location changed) {Caroline location: guest room; stress ball location: guest room's buffet; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's buffet}\n- Step 9: (Caroline location unchanged; stress ball location changed) {Caroline location: guest room; stress ball location: guest room's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's counter}\n- Step 10: (Caroline location unchanged; stress ball location unchanged) {Caroline location: guest room; stress ball location: guest room's counter; Caroline sees stress ball: True; Caroline's belief on stress ball: guest room's counter}\nFinal Answer: the guest room's counter","item":{"question":"Where does Caroline believe the stress ball is?","story_components":"Agents: [Caroline, Mitchell].\nObjects: [the stress ball, the pencil].\nRooms: [the guest room, the sauna].\nContainers: [the guest room's buffet, the guest room's counter, the sauna's buffet, the sauna's counter]"}}
+{"instance_id":"tom_tracking_0.5k_148","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kenneth is in the sunroom; Kevin is in the study; the keychain is on the sunroom's console table; the necklace is on the sunroom's ledge.\nStep 1: Kenneth moves the keychain to the sunroom's ledge.\nStep 2: Kenneth moves to the study, and moves the necklace to the study's console table.\nStep 3: Kenneth moves to the sunroom.\nStep 4: Kevin moves to the sunroom, and moves the necklace to the sunroom's console table.\nStep 5: Kenneth moves to the study, and moves the keychain to the study's ledge.\nStep 6: Kevin moves to the study.\nStep 7: Kenneth moves the keychain to the study's console table.\nStep 8: Kevin leaves the room he was in.\nStep 9: Kenneth leaves the room he was in.\nStep 10: Kevin enters the study.\n\n[QUESTION]\nWhere does Kenneth believe the necklace is?\n\n[YOUR ANSWER]","reference_output":"Kenneth's belief on the necklace:\n- Step 0: (initial state) {Kenneth location: sunroom; necklace location: sunroom's ledge; Kenneth sees necklace: True; Kenneth's belief on necklace: sunroom's ledge}\n- Step 1: (Kenneth location unchanged; necklace location unchanged) {Kenneth location: sunroom; necklace location: sunroom's ledge; Kenneth sees necklace: True; Kenneth's belief on necklace: sunroom's ledge}\n- Step 2: (Kenneth location changed; necklace location changed) {Kenneth location: study; necklace location: study's console table; Kenneth sees necklace: True; Kenneth's belief on necklace: study's console table}\n- Step 3: (Kenneth location changed; necklace location unchanged) {Kenneth location: sunroom; necklace location: study's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: study's console table}\n- Step 4: (Kenneth location unchanged; necklace location changed) {Kenneth location: sunroom; necklace location: sunroom's console table; Kenneth sees necklace: True; Kenneth's belief on necklace: sunroom's console table}\n- Step 5: (Kenneth location changed; necklace location unchanged) {Kenneth location: study; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\n- Step 6: (Kenneth location unchanged; necklace location unchanged) {Kenneth location: study; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\n- Step 7: (Kenneth location unchanged; necklace location unchanged) {Kenneth location: study; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\n- Step 8: (Kenneth location unchanged; necklace location unchanged) {Kenneth location: study; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\n- Step 9: (Kenneth location changed; necklace location unchanged) {Kenneth location: None; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\n- Step 10: (Kenneth location unchanged; necklace location unchanged) {Kenneth location: None; necklace location: sunroom's console table; Kenneth sees necklace: False; Kenneth's belief on necklace: sunroom's console table}\nFinal Answer: the sunroom's console table","item":{"question":"Where does Kenneth believe the necklace is?","story_components":"Agents: [Kenneth, Kevin].\nObjects: [the keychain, the necklace].\nRooms: [the study, the sunroom].\nContainers: [the study's ledge, the study's console table, the sunroom's ledge, the sunroom's console table]"}}
+{"instance_id":"tom_tracking_0.5k_149","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: William is in the craft room; Jodi is in the craft room; the glasses is on the office's cabinet top; the eyeglass cloth is on the craft room's mantel.\nStep 1: William moves to the office, and moves the eyeglass cloth to the office's cabinet top.\nStep 2: William moves the glasses to the office's mantel.\nStep 3: William leaves the room he was in.\nStep 4: Jodi moves to the office.\nStep 5: William enters the craft room.\nStep 6: Jodi moves to the craft room.\nStep 7: William moves to the office.\nStep 8: Jodi moves to the office.\nStep 9: William moves the glasses to the office's cabinet top.\nStep 10: Jodi moves the eyeglass cloth to the office's mantel.\n\n[QUESTION]\nWhere does William believe the eyeglass cloth is?\n\n[YOUR ANSWER]","reference_output":"William's belief on the eyeglass cloth:\n- Step 0: (initial state) {William location: craft room; eyeglass cloth location: craft room's mantel; William sees eyeglass cloth: True; William's belief on eyeglass cloth: craft room's mantel}\n- Step 1: (William location changed; eyeglass cloth location changed) {William location: office; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's cabinet top}\n- Step 2: (William location unchanged; eyeglass cloth location unchanged) {William location: office; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's cabinet top}\n- Step 3: (William location changed; eyeglass cloth location unchanged) {William location: None; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: False; William's belief on eyeglass cloth: office's cabinet top}\n- Step 4: (William location unchanged; eyeglass cloth location unchanged) {William location: None; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: False; William's belief on eyeglass cloth: office's cabinet top}\n- Step 5: (William location changed; eyeglass cloth location unchanged) {William location: craft room; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: False; William's belief on eyeglass cloth: office's cabinet top}\n- Step 6: (William location unchanged; eyeglass cloth location unchanged) {William location: craft room; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: False; William's belief on eyeglass cloth: office's cabinet top}\n- Step 7: (William location changed; eyeglass cloth location unchanged) {William location: office; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's cabinet top}\n- Step 8: (William location unchanged; eyeglass cloth location unchanged) {William location: office; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's cabinet top}\n- Step 9: (William location unchanged; eyeglass cloth location unchanged) {William location: office; eyeglass cloth location: office's cabinet top; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's cabinet top}\n- Step 10: (William location unchanged; eyeglass cloth location changed) {William location: office; eyeglass cloth location: office's mantel; William sees eyeglass cloth: True; William's belief on eyeglass cloth: office's mantel}\nFinal Answer: the office's mantel","item":{"question":"Where does William believe the eyeglass cloth is?","story_components":"Agents: [William, Jodi].\nObjects: [the glasses, the eyeglass cloth].\nRooms: [the office, the craft room].\nContainers: [the office's mantel, the office's cabinet top, the craft room's mantel, the craft room's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_150","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Rebecca is in the gym; Carol is in the gym; the eyeglass cloth is on the pantry's desk; the hand warmer is on the pantry's rack.\nStep 1: Rebecca moves to the pantry.\nStep 2: Rebecca moves the hand warmer to the pantry's desk.\nStep 3: Rebecca moves the eyeglass cloth to the pantry's rack.\nStep 4: Carol moves to the pantry.\nStep 5: Rebecca moves the eyeglass cloth to the pantry's desk.\nStep 6: Carol leaves the room he was in.\nStep 7: Rebecca moves the hand warmer to the pantry's rack.\nStep 8: Carol enters the gym.\nStep 9: Rebecca moves to the gym, and moves the hand warmer to the gym's rack.\nStep 10: Carol moves to the pantry, and moves the hand warmer to the pantry's rack.\n\n[QUESTION]\nWhere does Rebecca believe the eyeglass cloth is?\n\n[YOUR ANSWER]","reference_output":"Rebecca's belief on the eyeglass cloth:\n- Step 0: (initial state) {Rebecca location: gym; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: False; Rebecca's belief on eyeglass cloth: None}\n- Step 1: (Rebecca location changed; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 2: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 3: (Rebecca location unchanged; eyeglass cloth location changed) {Rebecca location: pantry; eyeglass cloth location: pantry's rack; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's rack}\n- Step 4: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's rack; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's rack}\n- Step 5: (Rebecca location unchanged; eyeglass cloth location changed) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 6: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 7: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 8: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: pantry; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: True; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 9: (Rebecca location changed; eyeglass cloth location unchanged) {Rebecca location: gym; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: False; Rebecca's belief on eyeglass cloth: pantry's desk}\n- Step 10: (Rebecca location unchanged; eyeglass cloth location unchanged) {Rebecca location: gym; eyeglass cloth location: pantry's desk; Rebecca sees eyeglass cloth: False; Rebecca's belief on eyeglass cloth: pantry's desk}\nFinal Answer: the pantry's desk","item":{"question":"Where does Rebecca believe the eyeglass cloth is?","story_components":"Agents: [Rebecca, Carol].\nObjects: [the eyeglass cloth, the hand warmer].\nRooms: [the gym, the pantry].\nContainers: [the gym's rack, the gym's desk, the pantry's rack, the pantry's desk]"}}
+{"instance_id":"tom_tracking_0.5k_151","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Debbie is in the lounge; Donald is in the closet; the rubber band is on the lounge's credenza; the coin is on the lounge's desk.\nStep 1: Debbie moves to the closet.\nStep 2: Donald moves to the lounge.\nStep 3: Donald moves to the closet, and moves the rubber band to the closet's desk.\nStep 4: Donald leaves the room he was in.\nStep 5: Debbie moves to the lounge.\nStep 6: Donald enters the closet.\nStep 7: Debbie moves the coin to the lounge's credenza.\nStep 8: Donald moves the rubber band to the closet's credenza.\nStep 9: Debbie moves to the closet.\nStep 10: Donald moves the rubber band to the closet's desk.\n\n[QUESTION]\nWhere does Debbie believe the rubber band is?\n\n[YOUR ANSWER]","reference_output":"Debbie's belief on the rubber band:\n- Step 0: (initial state) {Debbie location: lounge; rubber band location: lounge's credenza; Debbie sees rubber band: True; Debbie's belief on rubber band: lounge's credenza}\n- Step 1: (Debbie location changed; rubber band location unchanged) {Debbie location: closet; rubber band location: lounge's credenza; Debbie sees rubber band: False; Debbie's belief on rubber band: lounge's credenza}\n- Step 2: (Debbie location unchanged; rubber band location unchanged) {Debbie location: closet; rubber band location: lounge's credenza; Debbie sees rubber band: False; Debbie's belief on rubber band: lounge's credenza}\n- Step 3: (Debbie location unchanged; rubber band location changed) {Debbie location: closet; rubber band location: closet's desk; Debbie sees rubber band: True; Debbie's belief on rubber band: closet's desk}\n- Step 4: (Debbie location unchanged; rubber band location unchanged) {Debbie location: closet; rubber band location: closet's desk; Debbie sees rubber band: True; Debbie's belief on rubber band: closet's desk}\n- Step 5: (Debbie location changed; rubber band location unchanged) {Debbie location: lounge; rubber band location: closet's desk; Debbie sees rubber band: False; Debbie's belief on rubber band: closet's desk}\n- Step 6: (Debbie location unchanged; rubber band location unchanged) {Debbie location: lounge; rubber band location: closet's desk; Debbie sees rubber band: False; Debbie's belief on rubber band: closet's desk}\n- Step 7: (Debbie location unchanged; rubber band location unchanged) {Debbie location: lounge; rubber band location: closet's desk; Debbie sees rubber band: False; Debbie's belief on rubber band: closet's desk}\n- Step 8: (Debbie location unchanged; rubber band location changed) {Debbie location: lounge; rubber band location: closet's credenza; Debbie sees rubber band: False; Debbie's belief on rubber band: closet's desk}\n- Step 9: (Debbie location changed; rubber band location unchanged) {Debbie location: closet; rubber band location: closet's credenza; Debbie sees rubber band: True; Debbie's belief on rubber band: closet's credenza}\n- Step 10: (Debbie location unchanged; rubber band location changed) {Debbie location: closet; rubber band location: closet's desk; Debbie sees rubber band: True; Debbie's belief on rubber band: closet's desk}\nFinal Answer: the closet's desk","item":{"question":"Where does Debbie believe the rubber band is?","story_components":"Agents: [Debbie, Donald].\nObjects: [the rubber band, the coin].\nRooms: [the closet, the lounge].\nContainers: [the closet's desk, the closet's credenza, the lounge's desk, the lounge's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_152","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Lisa is in the guest room; Dylan is in the guest room; the hair tie is on the home theater's console table; the soap bar is on the home theater's console table.\nStep 1: Lisa moves to the home theater.\nStep 2: Dylan moves to the home theater.\nStep 3: Lisa moves the soap bar to the home theater's stand.\nStep 4: Dylan leaves the room he was in.\nStep 5: Lisa moves to the guest room.\nStep 6: Dylan enters the guest room.\nStep 7: Lisa moves to the home theater.\nStep 8: Lisa leaves the room he was in.\nStep 9: Lisa enters the guest room.\nStep 10: Dylan moves to the home theater.\n\n[QUESTION]\nWhere does Dylan believe the soap bar is?\n\n[YOUR ANSWER]","reference_output":"Dylan's belief on the soap bar:\n- Step 0: (initial state) {Dylan location: guest room; soap bar location: home theater's console table; Dylan sees soap bar: False; Dylan's belief on soap bar: None}\n- Step 1: (Dylan location unchanged; soap bar location unchanged) {Dylan location: guest room; soap bar location: home theater's console table; Dylan sees soap bar: False; Dylan's belief on soap bar: None}\n- Step 2: (Dylan location changed; soap bar location unchanged) {Dylan location: home theater; soap bar location: home theater's console table; Dylan sees soap bar: True; Dylan's belief on soap bar: home theater's console table}\n- Step 3: (Dylan location unchanged; soap bar location changed) {Dylan location: home theater; soap bar location: home theater's stand; Dylan sees soap bar: True; Dylan's belief on soap bar: home theater's stand}\n- Step 4: (Dylan location changed; soap bar location unchanged) {Dylan location: None; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 5: (Dylan location unchanged; soap bar location unchanged) {Dylan location: None; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 6: (Dylan location changed; soap bar location unchanged) {Dylan location: guest room; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 7: (Dylan location unchanged; soap bar location unchanged) {Dylan location: guest room; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 8: (Dylan location unchanged; soap bar location unchanged) {Dylan location: guest room; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 9: (Dylan location unchanged; soap bar location unchanged) {Dylan location: guest room; soap bar location: home theater's stand; Dylan sees soap bar: False; Dylan's belief on soap bar: home theater's stand}\n- Step 10: (Dylan location changed; soap bar location unchanged) {Dylan location: home theater; soap bar location: home theater's stand; Dylan sees soap bar: True; Dylan's belief on soap bar: home theater's stand}\nFinal Answer: the home theater's stand","item":{"question":"Where does Dylan believe the soap bar is?","story_components":"Agents: [Lisa, Dylan].\nObjects: [the hair tie, the soap bar].\nRooms: [the guest room, the home theater].\nContainers: [the guest room's stand, the guest room's console table, the home theater's stand, the home theater's console table]"}}
+{"instance_id":"tom_tracking_0.5k_153","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Benjamin is in the home theater; Stacey is in the home theater; the dice is on the craft room's desk; the playing marble is on the craft room's desk.\nStep 1: Benjamin moves to the craft room.\nStep 2: Stacey moves to the craft room.\nStep 3: Benjamin leaves the room he was in.\nStep 4: Stacey moves to the home theater.\nStep 5: Benjamin enters the craft room.\nStep 6: Stacey moves to the craft room.\nStep 7: Benjamin moves to the home theater, and moves the dice to the home theater's stool.\nStep 8: Stacey moves to the home theater, and moves the playing marble to the home theater's stool.\nStep 9: Benjamin moves the dice to the home theater's desk.\nStep 10: Stacey moves to the craft room.\n\n[QUESTION]\nWhere does Benjamin believe the playing marble is?\n\n[YOUR ANSWER]","reference_output":"Benjamin's belief on the playing marble:\n- Step 0: (initial state) {Benjamin location: home theater; playing marble location: craft room's desk; Benjamin sees playing marble: False; Benjamin's belief on playing marble: None}\n- Step 1: (Benjamin location changed; playing marble location unchanged) {Benjamin location: craft room; playing marble location: craft room's desk; Benjamin sees playing marble: True; Benjamin's belief on playing marble: craft room's desk}\n- Step 2: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: craft room; playing marble location: craft room's desk; Benjamin sees playing marble: True; Benjamin's belief on playing marble: craft room's desk}\n- Step 3: (Benjamin location changed; playing marble location unchanged) {Benjamin location: None; playing marble location: craft room's desk; Benjamin sees playing marble: False; Benjamin's belief on playing marble: craft room's desk}\n- Step 4: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: None; playing marble location: craft room's desk; Benjamin sees playing marble: False; Benjamin's belief on playing marble: craft room's desk}\n- Step 5: (Benjamin location changed; playing marble location unchanged) {Benjamin location: craft room; playing marble location: craft room's desk; Benjamin sees playing marble: True; Benjamin's belief on playing marble: craft room's desk}\n- Step 6: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: craft room; playing marble location: craft room's desk; Benjamin sees playing marble: True; Benjamin's belief on playing marble: craft room's desk}\n- Step 7: (Benjamin location changed; playing marble location unchanged) {Benjamin location: home theater; playing marble location: craft room's desk; Benjamin sees playing marble: False; Benjamin's belief on playing marble: craft room's desk}\n- Step 8: (Benjamin location unchanged; playing marble location changed) {Benjamin location: home theater; playing marble location: home theater's stool; Benjamin sees playing marble: True; Benjamin's belief on playing marble: home theater's stool}\n- Step 9: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: home theater; playing marble location: home theater's stool; Benjamin sees playing marble: True; Benjamin's belief on playing marble: home theater's stool}\n- Step 10: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: home theater; playing marble location: home theater's stool; Benjamin sees playing marble: True; Benjamin's belief on playing marble: home theater's stool}\nFinal Answer: the home theater's stool","item":{"question":"Where does Benjamin believe the playing marble is?","story_components":"Agents: [Benjamin, Stacey].\nObjects: [the dice, the playing marble].\nRooms: [the home theater, the craft room].\nContainers: [the home theater's desk, the home theater's stool, the craft room's desk, the craft room's stool]"}}
+{"instance_id":"tom_tracking_0.5k_154","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Crystal is in the gym; Erin is in the gym; the pencil is on the gym's bar; the headphones is on the bathroom's stand.\nStep 1: Crystal moves to the bathroom.\nStep 2: Erin moves the pencil to the gym's stand.\nStep 3: Crystal moves to the gym.\nStep 4: Erin moves the pencil to the gym's bar.\nStep 5: Crystal leaves the room he was in.\nStep 6: Erin moves to the bathroom.\nStep 7: Crystal enters the gym.\nStep 8: Erin moves to the gym, and moves the headphones to the gym's bar.\nStep 9: Crystal moves to the bathroom, and moves the headphones to the bathroom's stand.\nStep 10: Erin moves the pencil to the gym's stand.\n\n[QUESTION]\nWhere does Crystal believe the headphones is?\n\n[YOUR ANSWER]","reference_output":"Crystal's belief on the headphones:\n- Step 0: (initial state) {Crystal location: gym; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: None}\n- Step 1: (Crystal location changed; headphones location unchanged) {Crystal location: bathroom; headphones location: bathroom's stand; Crystal sees headphones: True; Crystal's belief on headphones: bathroom's stand}\n- Step 2: (Crystal location unchanged; headphones location unchanged) {Crystal location: bathroom; headphones location: bathroom's stand; Crystal sees headphones: True; Crystal's belief on headphones: bathroom's stand}\n- Step 3: (Crystal location changed; headphones location unchanged) {Crystal location: gym; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: bathroom's stand}\n- Step 4: (Crystal location unchanged; headphones location unchanged) {Crystal location: gym; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: bathroom's stand}\n- Step 5: (Crystal location changed; headphones location unchanged) {Crystal location: None; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: bathroom's stand}\n- Step 6: (Crystal location unchanged; headphones location unchanged) {Crystal location: None; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: bathroom's stand}\n- Step 7: (Crystal location changed; headphones location unchanged) {Crystal location: gym; headphones location: bathroom's stand; Crystal sees headphones: False; Crystal's belief on headphones: bathroom's stand}\n- Step 8: (Crystal location unchanged; headphones location changed) {Crystal location: gym; headphones location: gym's bar; Crystal sees headphones: True; Crystal's belief on headphones: gym's bar}\n- Step 9: (Crystal location changed; headphones location changed) {Crystal location: bathroom; headphones location: bathroom's stand; Crystal sees headphones: True; Crystal's belief on headphones: bathroom's stand}\n- Step 10: (Crystal location unchanged; headphones location unchanged) {Crystal location: bathroom; headphones location: bathroom's stand; Crystal sees headphones: True; Crystal's belief on headphones: bathroom's stand}\nFinal Answer: the bathroom's stand","item":{"question":"Where does Crystal believe the headphones is?","story_components":"Agents: [Crystal, Erin].\nObjects: [the pencil, the headphones].\nRooms: [the bathroom, the gym].\nContainers: [the bathroom's bar, the bathroom's stand, the gym's bar, the gym's stand]"}}
+{"instance_id":"tom_tracking_0.5k_155","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Margaret is in the game room; Jeremiah is in the game room; the key fob is on the library's table; the lip balm is on the game room's table.\nStep 1: Margaret leaves the room he was in.\nStep 2: Jeremiah moves the lip balm to the game room's tv stand.\nStep 3: Margaret enters the library.\nStep 4: Jeremiah moves to the library.\nStep 5: Margaret moves the key fob to the library's tv stand.\nStep 6: Jeremiah moves to the game room, and moves the key fob to the game room's table.\nStep 7: Jeremiah moves to the library, and moves the lip balm to the library's tv stand.\nStep 8: Jeremiah leaves the room he was in.\nStep 9: Margaret moves to the game room, and moves the lip balm to the game room's tv stand.\nStep 10: Jeremiah enters the library.\n\n[QUESTION]\nWhere does Margaret believe the key fob is?\n\n[YOUR ANSWER]","reference_output":"Margaret's belief on the key fob:\n- Step 0: (initial state) {Margaret location: game room; key fob location: library's table; Margaret sees key fob: False; Margaret's belief on key fob: None}\n- Step 1: (Margaret location changed; key fob location unchanged) {Margaret location: None; key fob location: library's table; Margaret sees key fob: False; Margaret's belief on key fob: None}\n- Step 2: (Margaret location unchanged; key fob location unchanged) {Margaret location: None; key fob location: library's table; Margaret sees key fob: False; Margaret's belief on key fob: None}\n- Step 3: (Margaret location changed; key fob location unchanged) {Margaret location: library; key fob location: library's table; Margaret sees key fob: True; Margaret's belief on key fob: library's table}\n- Step 4: (Margaret location unchanged; key fob location unchanged) {Margaret location: library; key fob location: library's table; Margaret sees key fob: True; Margaret's belief on key fob: library's table}\n- Step 5: (Margaret location unchanged; key fob location changed) {Margaret location: library; key fob location: library's tv stand; Margaret sees key fob: True; Margaret's belief on key fob: library's tv stand}\n- Step 6: (Margaret location unchanged; key fob location changed) {Margaret location: library; key fob location: game room's table; Margaret sees key fob: False; Margaret's belief on key fob: library's tv stand}\n- Step 7: (Margaret location unchanged; key fob location unchanged) {Margaret location: library; key fob location: game room's table; Margaret sees key fob: False; Margaret's belief on key fob: library's tv stand}\n- Step 8: (Margaret location unchanged; key fob location unchanged) {Margaret location: library; key fob location: game room's table; Margaret sees key fob: False; Margaret's belief on key fob: library's tv stand}\n- Step 9: (Margaret location changed; key fob location unchanged) {Margaret location: game room; key fob location: game room's table; Margaret sees key fob: True; Margaret's belief on key fob: game room's table}\n- Step 10: (Margaret location unchanged; key fob location unchanged) {Margaret location: game room; key fob location: game room's table; Margaret sees key fob: True; Margaret's belief on key fob: game room's table}\nFinal Answer: the game room's table","item":{"question":"Where does Margaret believe the key fob is?","story_components":"Agents: [Margaret, Jeremiah].\nObjects: [the key fob, the lip balm].\nRooms: [the game room, the library].\nContainers: [the game room's tv stand, the game room's table, the library's tv stand, the library's table]"}}
+{"instance_id":"tom_tracking_0.5k_156","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Breanna is in the study; Evan is in the study; the bookmark is on the dining room's tray; the eraser is on the dining room's tray.\nStep 1: Breanna moves to the dining room.\nStep 2: Breanna leaves the room he was in.\nStep 3: Breanna enters the study.\nStep 4: Evan moves to the dining room.\nStep 5: Breanna moves to the dining room.\nStep 6: Evan leaves the room he was in.\nStep 7: Breanna moves to the study.\nStep 8: Evan enters the study.\nStep 9: Breanna moves to the dining room.\nStep 10: Evan moves to the dining room.\n\n[QUESTION]\nWhere does Breanna believe the eraser is?\n\n[YOUR ANSWER]","reference_output":"Breanna's belief on the eraser:\n- Step 0: (initial state) {Breanna location: study; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: None}\n- Step 1: (Breanna location changed; eraser location unchanged) {Breanna location: dining room; eraser location: dining room's tray; Breanna sees eraser: True; Breanna's belief on eraser: dining room's tray}\n- Step 2: (Breanna location changed; eraser location unchanged) {Breanna location: None; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: dining room's tray}\n- Step 3: (Breanna location changed; eraser location unchanged) {Breanna location: study; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: dining room's tray}\n- Step 4: (Breanna location unchanged; eraser location unchanged) {Breanna location: study; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: dining room's tray}\n- Step 5: (Breanna location changed; eraser location unchanged) {Breanna location: dining room; eraser location: dining room's tray; Breanna sees eraser: True; Breanna's belief on eraser: dining room's tray}\n- Step 6: (Breanna location unchanged; eraser location unchanged) {Breanna location: dining room; eraser location: dining room's tray; Breanna sees eraser: True; Breanna's belief on eraser: dining room's tray}\n- Step 7: (Breanna location changed; eraser location unchanged) {Breanna location: study; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: dining room's tray}\n- Step 8: (Breanna location unchanged; eraser location unchanged) {Breanna location: study; eraser location: dining room's tray; Breanna sees eraser: False; Breanna's belief on eraser: dining room's tray}\n- Step 9: (Breanna location changed; eraser location unchanged) {Breanna location: dining room; eraser location: dining room's tray; Breanna sees eraser: True; Breanna's belief on eraser: dining room's tray}\n- Step 10: (Breanna location unchanged; eraser location unchanged) {Breanna location: dining room; eraser location: dining room's tray; Breanna sees eraser: True; Breanna's belief on eraser: dining room's tray}\nFinal Answer: the dining room's tray","item":{"question":"Where does Breanna believe the eraser is?","story_components":"Agents: [Breanna, Evan].\nObjects: [the bookmark, the eraser].\nRooms: [the study, the dining room].\nContainers: [the study's tv stand, the study's tray, the dining room's tv stand, the dining room's tray]"}}
+{"instance_id":"tom_tracking_0.5k_157","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Tracy is in the dining room; Nancy is in the dining room; the cufflink is on the dining room's stand; the playing card is on the dining room's stand.\nStep 1: Tracy moves the cufflink to the dining room's cabinet top.\nStep 2: Nancy moves to the nursery, and moves the playing card to the nursery's cabinet top.\nStep 3: Tracy moves to the nursery, and moves the cufflink to the nursery's cabinet top.\nStep 4: Nancy moves the playing card to the nursery's stand.\nStep 5: Tracy leaves the room he was in.\nStep 6: Nancy moves to the dining room.\nStep 7: Tracy enters the nursery.\nStep 8: Nancy moves to the nursery.\nStep 9: Tracy moves to the dining room, and moves the cufflink to the dining room's stand.\nStep 10: Nancy moves to the dining room.\n\n[QUESTION]\nWhere does Tracy believe the cufflink is?\n\n[YOUR ANSWER]","reference_output":"Tracy's belief on the cufflink:\n- Step 0: (initial state) {Tracy location: dining room; cufflink location: dining room's stand; Tracy sees cufflink: True; Tracy's belief on cufflink: dining room's stand}\n- Step 1: (Tracy location unchanged; cufflink location changed) {Tracy location: dining room; cufflink location: dining room's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: dining room's cabinet top}\n- Step 2: (Tracy location unchanged; cufflink location unchanged) {Tracy location: dining room; cufflink location: dining room's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: dining room's cabinet top}\n- Step 3: (Tracy location changed; cufflink location changed) {Tracy location: nursery; cufflink location: nursery's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 4: (Tracy location unchanged; cufflink location unchanged) {Tracy location: nursery; cufflink location: nursery's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 5: (Tracy location changed; cufflink location unchanged) {Tracy location: None; cufflink location: nursery's cabinet top; Tracy sees cufflink: False; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 6: (Tracy location unchanged; cufflink location unchanged) {Tracy location: None; cufflink location: nursery's cabinet top; Tracy sees cufflink: False; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 7: (Tracy location changed; cufflink location unchanged) {Tracy location: nursery; cufflink location: nursery's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 8: (Tracy location unchanged; cufflink location unchanged) {Tracy location: nursery; cufflink location: nursery's cabinet top; Tracy sees cufflink: True; Tracy's belief on cufflink: nursery's cabinet top}\n- Step 9: (Tracy location changed; cufflink location changed) {Tracy location: dining room; cufflink location: dining room's stand; Tracy sees cufflink: True; Tracy's belief on cufflink: dining room's stand}\n- Step 10: (Tracy location unchanged; cufflink location unchanged) {Tracy location: dining room; cufflink location: dining room's stand; Tracy sees cufflink: True; Tracy's belief on cufflink: dining room's stand}\nFinal Answer: the dining room's stand","item":{"question":"Where does Tracy believe the cufflink is?","story_components":"Agents: [Tracy, Nancy].\nObjects: [the cufflink, the playing card].\nRooms: [the nursery, the dining room].\nContainers: [the nursery's cabinet top, the nursery's stand, the dining room's cabinet top, the dining room's stand]"}}
+{"instance_id":"tom_tracking_0.5k_158","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Dustin is in the guest room; Lisa is in the sunroom; the keychain is on the sunroom's workbench; the eraser is on the guest room's mantel.\nStep 1: Dustin moves the eraser to the guest room's workbench.\nStep 2: Lisa moves to the guest room.\nStep 3: Dustin moves to the sunroom.\nStep 4: Lisa moves to the sunroom.\nStep 5: Dustin moves to the guest room, and moves the keychain to the guest room's workbench.\nStep 6: Lisa moves to the guest room.\nStep 7: Dustin moves to the sunroom, and moves the eraser to the sunroom's workbench.\nStep 8: Lisa moves to the sunroom, and moves the keychain to the sunroom's mantel.\nStep 9: Dustin moves the keychain to the sunroom's workbench.\nStep 10: Lisa moves the eraser to the sunroom's mantel.\n\n[QUESTION]\nWhere does Lisa believe the keychain is?\n\n[YOUR ANSWER]","reference_output":"Lisa's belief on the keychain:\n- Step 0: (initial state) {Lisa location: sunroom; keychain location: sunroom's workbench; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's workbench}\n- Step 1: (Lisa location unchanged; keychain location unchanged) {Lisa location: sunroom; keychain location: sunroom's workbench; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's workbench}\n- Step 2: (Lisa location changed; keychain location unchanged) {Lisa location: guest room; keychain location: sunroom's workbench; Lisa sees keychain: False; Lisa's belief on keychain: sunroom's workbench}\n- Step 3: (Lisa location unchanged; keychain location unchanged) {Lisa location: guest room; keychain location: sunroom's workbench; Lisa sees keychain: False; Lisa's belief on keychain: sunroom's workbench}\n- Step 4: (Lisa location changed; keychain location unchanged) {Lisa location: sunroom; keychain location: sunroom's workbench; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's workbench}\n- Step 5: (Lisa location unchanged; keychain location changed) {Lisa location: sunroom; keychain location: guest room's workbench; Lisa sees keychain: False; Lisa's belief on keychain: sunroom's workbench}\n- Step 6: (Lisa location changed; keychain location unchanged) {Lisa location: guest room; keychain location: guest room's workbench; Lisa sees keychain: True; Lisa's belief on keychain: guest room's workbench}\n- Step 7: (Lisa location unchanged; keychain location unchanged) {Lisa location: guest room; keychain location: guest room's workbench; Lisa sees keychain: True; Lisa's belief on keychain: guest room's workbench}\n- Step 8: (Lisa location changed; keychain location changed) {Lisa location: sunroom; keychain location: sunroom's mantel; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's mantel}\n- Step 9: (Lisa location unchanged; keychain location changed) {Lisa location: sunroom; keychain location: sunroom's workbench; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's workbench}\n- Step 10: (Lisa location unchanged; keychain location unchanged) {Lisa location: sunroom; keychain location: sunroom's workbench; Lisa sees keychain: True; Lisa's belief on keychain: sunroom's workbench}\nFinal Answer: the sunroom's workbench","item":{"question":"Where does Lisa believe the keychain is?","story_components":"Agents: [Dustin, Lisa].\nObjects: [the keychain, the eraser].\nRooms: [the guest room, the sunroom].\nContainers: [the guest room's mantel, the guest room's workbench, the sunroom's mantel, the sunroom's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_159","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Bobby is in the patio; Gwendolyn is in the patio; the apple is on the mudroom's pallet; the matchbox is on the patio's pallet.\nStep 1: Bobby leaves the room he was in.\nStep 2: Gwendolyn moves to the mudroom.\nStep 3: Bobby enters the mudroom.\nStep 4: Gwendolyn moves the apple to the mudroom's tray.\nStep 5: Bobby moves to the patio, and moves the apple to the patio's tray.\nStep 6: Bobby moves the matchbox to the patio's tray.\nStep 7: Bobby moves to the mudroom, and moves the matchbox to the mudroom's pallet.\nStep 8: Gwendolyn moves to the patio, and moves the matchbox to the patio's pallet.\nStep 9: Gwendolyn leaves the room he was in.\nStep 10: Gwendolyn enters the patio.\n\n[QUESTION]\nWhere does Gwendolyn believe the apple is?\n\n[YOUR ANSWER]","reference_output":"Gwendolyn's belief on the apple:\n- Step 0: (initial state) {Gwendolyn location: patio; apple location: mudroom's pallet; Gwendolyn sees apple: False; Gwendolyn's belief on apple: None}\n- Step 1: (Gwendolyn location unchanged; apple location unchanged) {Gwendolyn location: patio; apple location: mudroom's pallet; Gwendolyn sees apple: False; Gwendolyn's belief on apple: None}\n- Step 2: (Gwendolyn location changed; apple location unchanged) {Gwendolyn location: mudroom; apple location: mudroom's pallet; Gwendolyn sees apple: True; Gwendolyn's belief on apple: mudroom's pallet}\n- Step 3: (Gwendolyn location unchanged; apple location unchanged) {Gwendolyn location: mudroom; apple location: mudroom's pallet; Gwendolyn sees apple: True; Gwendolyn's belief on apple: mudroom's pallet}\n- Step 4: (Gwendolyn location unchanged; apple location changed) {Gwendolyn location: mudroom; apple location: mudroom's tray; Gwendolyn sees apple: True; Gwendolyn's belief on apple: mudroom's tray}\n- Step 5: (Gwendolyn location unchanged; apple location changed) {Gwendolyn location: mudroom; apple location: patio's tray; Gwendolyn sees apple: False; Gwendolyn's belief on apple: mudroom's tray}\n- Step 6: (Gwendolyn location unchanged; apple location unchanged) {Gwendolyn location: mudroom; apple location: patio's tray; Gwendolyn sees apple: False; Gwendolyn's belief on apple: mudroom's tray}\n- Step 7: (Gwendolyn location unchanged; apple location unchanged) {Gwendolyn location: mudroom; apple location: patio's tray; Gwendolyn sees apple: False; Gwendolyn's belief on apple: mudroom's tray}\n- Step 8: (Gwendolyn location changed; apple location unchanged) {Gwendolyn location: patio; apple location: patio's tray; Gwendolyn sees apple: True; Gwendolyn's belief on apple: patio's tray}\n- Step 9: (Gwendolyn location changed; apple location unchanged) {Gwendolyn location: None; apple location: patio's tray; Gwendolyn sees apple: False; Gwendolyn's belief on apple: patio's tray}\n- Step 10: (Gwendolyn location changed; apple location unchanged) {Gwendolyn location: patio; apple location: patio's tray; Gwendolyn sees apple: True; Gwendolyn's belief on apple: patio's tray}\nFinal Answer: the patio's tray","item":{"question":"Where does Gwendolyn believe the apple is?","story_components":"Agents: [Bobby, Gwendolyn].\nObjects: [the apple, the matchbox].\nRooms: [the mudroom, the patio].\nContainers: [the mudroom's pallet, the mudroom's tray, the patio's pallet, the patio's tray]"}}
+{"instance_id":"tom_tracking_0.5k_160","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Wanda is in the home theater; Kayla is in the lounge; the paperclip is on the lounge's cabinet top; the battery is on the home theater's cabinet top.\nStep 1: Wanda moves the battery to the home theater's tv stand.\nStep 2: Kayla moves to the home theater, and moves the paperclip to the home theater's tv stand.\nStep 3: Wanda moves to the lounge, and moves the battery to the lounge's cabinet top.\nStep 4: Kayla moves the paperclip to the home theater's cabinet top.\nStep 5: Wanda leaves the room he was in.\nStep 6: Kayla moves the paperclip to the home theater's tv stand.\nStep 7: Wanda enters the lounge.\nStep 8: Kayla moves the paperclip to the home theater's cabinet top.\nStep 9: Wanda moves to the home theater, and moves the battery to the home theater's tv stand.\nStep 10: Kayla moves to the lounge.\n\n[QUESTION]\nWhere does Kayla believe the battery is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the battery:\n- Step 0: (initial state) {Kayla location: lounge; battery location: home theater's cabinet top; Kayla sees battery: False; Kayla's belief on battery: None}\n- Step 1: (Kayla location unchanged; battery location changed) {Kayla location: lounge; battery location: home theater's tv stand; Kayla sees battery: False; Kayla's belief on battery: None}\n- Step 2: (Kayla location changed; battery location unchanged) {Kayla location: home theater; battery location: home theater's tv stand; Kayla sees battery: True; Kayla's belief on battery: home theater's tv stand}\n- Step 3: (Kayla location unchanged; battery location changed) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 4: (Kayla location unchanged; battery location unchanged) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 5: (Kayla location unchanged; battery location unchanged) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 6: (Kayla location unchanged; battery location unchanged) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 7: (Kayla location unchanged; battery location unchanged) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 8: (Kayla location unchanged; battery location unchanged) {Kayla location: home theater; battery location: lounge's cabinet top; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\n- Step 9: (Kayla location unchanged; battery location changed) {Kayla location: home theater; battery location: home theater's tv stand; Kayla sees battery: True; Kayla's belief on battery: home theater's tv stand}\n- Step 10: (Kayla location changed; battery location unchanged) {Kayla location: lounge; battery location: home theater's tv stand; Kayla sees battery: False; Kayla's belief on battery: home theater's tv stand}\nFinal Answer: the home theater's tv stand","item":{"question":"Where does Kayla believe the battery is?","story_components":"Agents: [Wanda, Kayla].\nObjects: [the paperclip, the battery].\nRooms: [the lounge, the home theater].\nContainers: [the lounge's tv stand, the lounge's cabinet top, the home theater's tv stand, the home theater's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_161","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Molly is in the sunroom; Raymond is in the storage room; the pocket mirror is on the storage room's pedestal; the bookmark is on the storage room's tv stand.\nStep 1: Molly moves to the storage room.\nStep 2: Raymond moves to the sunroom.\nStep 3: Molly moves to the sunroom, and moves the bookmark to the sunroom's pedestal.\nStep 4: Raymond leaves the room he was in.\nStep 5: Molly moves the bookmark to the sunroom's tv stand.\nStep 6: Raymond enters the sunroom.\nStep 7: Molly moves to the storage room, and moves the bookmark to the storage room's pedestal.\nStep 8: Molly moves the pocket mirror to the storage room's tv stand.\nStep 9: Molly moves to the sunroom.\nStep 10: Raymond moves to the storage room.\n\n[QUESTION]\nWhere does Raymond believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Raymond's belief on the bookmark:\n- Step 0: (initial state) {Raymond location: storage room; bookmark location: storage room's tv stand; Raymond sees bookmark: True; Raymond's belief on bookmark: storage room's tv stand}\n- Step 1: (Raymond location unchanged; bookmark location unchanged) {Raymond location: storage room; bookmark location: storage room's tv stand; Raymond sees bookmark: True; Raymond's belief on bookmark: storage room's tv stand}\n- Step 2: (Raymond location changed; bookmark location unchanged) {Raymond location: sunroom; bookmark location: storage room's tv stand; Raymond sees bookmark: False; Raymond's belief on bookmark: storage room's tv stand}\n- Step 3: (Raymond location unchanged; bookmark location changed) {Raymond location: sunroom; bookmark location: sunroom's pedestal; Raymond sees bookmark: True; Raymond's belief on bookmark: sunroom's pedestal}\n- Step 4: (Raymond location changed; bookmark location unchanged) {Raymond location: None; bookmark location: sunroom's pedestal; Raymond sees bookmark: False; Raymond's belief on bookmark: sunroom's pedestal}\n- Step 5: (Raymond location unchanged; bookmark location changed) {Raymond location: None; bookmark location: sunroom's tv stand; Raymond sees bookmark: False; Raymond's belief on bookmark: sunroom's pedestal}\n- Step 6: (Raymond location changed; bookmark location unchanged) {Raymond location: sunroom; bookmark location: sunroom's tv stand; Raymond sees bookmark: True; Raymond's belief on bookmark: sunroom's tv stand}\n- Step 7: (Raymond location unchanged; bookmark location changed) {Raymond location: sunroom; bookmark location: storage room's pedestal; Raymond sees bookmark: False; Raymond's belief on bookmark: sunroom's tv stand}\n- Step 8: (Raymond location unchanged; bookmark location unchanged) {Raymond location: sunroom; bookmark location: storage room's pedestal; Raymond sees bookmark: False; Raymond's belief on bookmark: sunroom's tv stand}\n- Step 9: (Raymond location unchanged; bookmark location unchanged) {Raymond location: sunroom; bookmark location: storage room's pedestal; Raymond sees bookmark: False; Raymond's belief on bookmark: sunroom's tv stand}\n- Step 10: (Raymond location changed; bookmark location unchanged) {Raymond location: storage room; bookmark location: storage room's pedestal; Raymond sees bookmark: True; Raymond's belief on bookmark: storage room's pedestal}\nFinal Answer: the storage room's pedestal","item":{"question":"Where does Raymond believe the bookmark is?","story_components":"Agents: [Molly, Raymond].\nObjects: [the pocket mirror, the bookmark].\nRooms: [the storage room, the sunroom].\nContainers: [the storage room's pedestal, the storage room's tv stand, the sunroom's pedestal, the sunroom's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_162","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the sunroom; Richard is in the sunroom; the battery is on the study's windowsill; the keychain is on the study's windowsill.\nStep 1: Chris moves to the study.\nStep 2: Richard moves to the study.\nStep 3: Chris moves the battery to the study's bench.\nStep 4: Richard moves to the sunroom.\nStep 5: Chris leaves the room he was in.\nStep 6: Richard moves to the study.\nStep 7: Chris enters the sunroom.\nStep 8: Richard moves to the sunroom, and moves the keychain to the sunroom's bench.\nStep 9: Chris moves the keychain to the sunroom's windowsill.\nStep 10: Richard leaves the room he was in.\n\n[QUESTION]\nWhere does Chris believe the keychain is?\n\n[YOUR ANSWER]","reference_output":"Chris's belief on the keychain:\n- Step 0: (initial state) {Chris location: sunroom; keychain location: study's windowsill; Chris sees keychain: False; Chris's belief on keychain: None}\n- Step 1: (Chris location changed; keychain location unchanged) {Chris location: study; keychain location: study's windowsill; Chris sees keychain: True; Chris's belief on keychain: study's windowsill}\n- Step 2: (Chris location unchanged; keychain location unchanged) {Chris location: study; keychain location: study's windowsill; Chris sees keychain: True; Chris's belief on keychain: study's windowsill}\n- Step 3: (Chris location unchanged; keychain location unchanged) {Chris location: study; keychain location: study's windowsill; Chris sees keychain: True; Chris's belief on keychain: study's windowsill}\n- Step 4: (Chris location unchanged; keychain location unchanged) {Chris location: study; keychain location: study's windowsill; Chris sees keychain: True; Chris's belief on keychain: study's windowsill}\n- Step 5: (Chris location changed; keychain location unchanged) {Chris location: None; keychain location: study's windowsill; Chris sees keychain: False; Chris's belief on keychain: study's windowsill}\n- Step 6: (Chris location unchanged; keychain location unchanged) {Chris location: None; keychain location: study's windowsill; Chris sees keychain: False; Chris's belief on keychain: study's windowsill}\n- Step 7: (Chris location changed; keychain location unchanged) {Chris location: sunroom; keychain location: study's windowsill; Chris sees keychain: False; Chris's belief on keychain: study's windowsill}\n- Step 8: (Chris location unchanged; keychain location changed) {Chris location: sunroom; keychain location: sunroom's bench; Chris sees keychain: True; Chris's belief on keychain: sunroom's bench}\n- Step 9: (Chris location unchanged; keychain location changed) {Chris location: sunroom; keychain location: sunroom's windowsill; Chris sees keychain: True; Chris's belief on keychain: sunroom's windowsill}\n- Step 10: (Chris location unchanged; keychain location unchanged) {Chris location: sunroom; keychain location: sunroom's windowsill; Chris sees keychain: True; Chris's belief on keychain: sunroom's windowsill}\nFinal Answer: the sunroom's windowsill","item":{"question":"Where does Chris believe the keychain is?","story_components":"Agents: [Chris, Richard].\nObjects: [the battery, the keychain].\nRooms: [the study, the sunroom].\nContainers: [the study's bench, the study's windowsill, the sunroom's bench, the sunroom's windowsill]"}}
+{"instance_id":"tom_tracking_0.5k_163","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Amanda is in the living room; Tiffany is in the library; the flashlight is on the library's coffee table; the USB drive is on the living room's coffee table.\nStep 1: Amanda moves to the library, and moves the USB drive to the library's table.\nStep 2: Tiffany leaves the room he was in.\nStep 3: Amanda leaves the room he was in.\nStep 4: Tiffany enters the library.\nStep 5: Amanda enters the living room.\nStep 6: Tiffany leaves the room he was in.\nStep 7: Amanda moves to the library.\nStep 8: Tiffany enters the library.\nStep 9: Amanda moves to the living room, and moves the flashlight to the living room's coffee table.\nStep 10: Tiffany leaves the room he was in.\n\n[QUESTION]\nWhere does Tiffany believe the flashlight is?\n\n[YOUR ANSWER]","reference_output":"Tiffany's belief on the flashlight:\n- Step 0: (initial state) {Tiffany location: library; flashlight location: library's coffee table; Tiffany sees flashlight: True; Tiffany's belief on flashlight: library's coffee table}\n- Step 1: (Tiffany location unchanged; flashlight location unchanged) {Tiffany location: library; flashlight location: library's coffee table; Tiffany sees flashlight: True; Tiffany's belief on flashlight: library's coffee table}\n- Step 2: (Tiffany location changed; flashlight location unchanged) {Tiffany location: None; flashlight location: library's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\n- Step 3: (Tiffany location unchanged; flashlight location unchanged) {Tiffany location: None; flashlight location: library's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\n- Step 4: (Tiffany location changed; flashlight location unchanged) {Tiffany location: library; flashlight location: library's coffee table; Tiffany sees flashlight: True; Tiffany's belief on flashlight: library's coffee table}\n- Step 5: (Tiffany location unchanged; flashlight location unchanged) {Tiffany location: library; flashlight location: library's coffee table; Tiffany sees flashlight: True; Tiffany's belief on flashlight: library's coffee table}\n- Step 6: (Tiffany location changed; flashlight location unchanged) {Tiffany location: None; flashlight location: library's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\n- Step 7: (Tiffany location unchanged; flashlight location unchanged) {Tiffany location: None; flashlight location: library's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\n- Step 8: (Tiffany location changed; flashlight location unchanged) {Tiffany location: library; flashlight location: library's coffee table; Tiffany sees flashlight: True; Tiffany's belief on flashlight: library's coffee table}\n- Step 9: (Tiffany location unchanged; flashlight location changed) {Tiffany location: library; flashlight location: living room's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\n- Step 10: (Tiffany location changed; flashlight location unchanged) {Tiffany location: None; flashlight location: living room's coffee table; Tiffany sees flashlight: False; Tiffany's belief on flashlight: library's coffee table}\nFinal Answer: the library's coffee table","item":{"question":"Where does Tiffany believe the flashlight is?","story_components":"Agents: [Amanda, Tiffany].\nObjects: [the flashlight, the USB drive].\nRooms: [the living room, the library].\nContainers: [the living room's table, the living room's coffee table, the library's table, the library's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_164","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Tiffany is in the lounge; Lindsey is in the closet; the memory card is on the closet's display case; the key fob is on the closet's windowsill.\nStep 1: Tiffany moves to the closet.\nStep 2: Lindsey leaves the room he was in.\nStep 3: Tiffany leaves the room he was in.\nStep 4: Lindsey enters the closet.\nStep 5: Tiffany enters the closet.\nStep 6: Lindsey moves to the lounge, and moves the key fob to the lounge's windowsill.\nStep 7: Tiffany moves to the lounge.\nStep 8: Lindsey moves to the closet, and moves the key fob to the closet's display case.\nStep 9: Tiffany moves to the closet.\nStep 10: Lindsey moves to the lounge.\n\n[QUESTION]\nWhere does Lindsey believe the memory card is?\n\n[YOUR ANSWER]","reference_output":"Lindsey's belief on the memory card:\n- Step 0: (initial state) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 1: (Lindsey location unchanged; memory card location unchanged) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 2: (Lindsey location changed; memory card location unchanged) {Lindsey location: None; memory card location: closet's display case; Lindsey sees memory card: False; Lindsey's belief on memory card: closet's display case}\n- Step 3: (Lindsey location unchanged; memory card location unchanged) {Lindsey location: None; memory card location: closet's display case; Lindsey sees memory card: False; Lindsey's belief on memory card: closet's display case}\n- Step 4: (Lindsey location changed; memory card location unchanged) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 5: (Lindsey location unchanged; memory card location unchanged) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 6: (Lindsey location changed; memory card location unchanged) {Lindsey location: lounge; memory card location: closet's display case; Lindsey sees memory card: False; Lindsey's belief on memory card: closet's display case}\n- Step 7: (Lindsey location unchanged; memory card location unchanged) {Lindsey location: lounge; memory card location: closet's display case; Lindsey sees memory card: False; Lindsey's belief on memory card: closet's display case}\n- Step 8: (Lindsey location changed; memory card location unchanged) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 9: (Lindsey location unchanged; memory card location unchanged) {Lindsey location: closet; memory card location: closet's display case; Lindsey sees memory card: True; Lindsey's belief on memory card: closet's display case}\n- Step 10: (Lindsey location changed; memory card location unchanged) {Lindsey location: lounge; memory card location: closet's display case; Lindsey sees memory card: False; Lindsey's belief on memory card: closet's display case}\nFinal Answer: the closet's display case","item":{"question":"Where does Lindsey believe the memory card is?","story_components":"Agents: [Tiffany, Lindsey].\nObjects: [the memory card, the key fob].\nRooms: [the lounge, the closet].\nContainers: [the lounge's windowsill, the lounge's display case, the closet's windowsill, the closet's display case]"}}
+{"instance_id":"tom_tracking_0.5k_165","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jeremiah is in the gym; Nicole is in the basement; the fuse is on the gym's coffee table; the battery is on the gym's mantel.\nStep 1: Jeremiah leaves the room he was in.\nStep 2: Nicole moves to the gym.\nStep 3: Jeremiah enters the gym.\nStep 4: Nicole moves the battery to the gym's coffee table.\nStep 5: Jeremiah moves to the basement.\nStep 6: Nicole moves to the basement, and moves the fuse to the basement's mantel.\nStep 7: Jeremiah moves to the gym, and moves the fuse to the gym's coffee table.\nStep 8: Nicole moves to the gym.\nStep 9: Jeremiah moves the battery to the gym's mantel.\nStep 10: Nicole moves the battery to the gym's coffee table.\n\n[QUESTION]\nWhere does Nicole believe the fuse is?\n\n[YOUR ANSWER]","reference_output":"Nicole's belief on the fuse:\n- Step 0: (initial state) {Nicole location: basement; fuse location: gym's coffee table; Nicole sees fuse: False; Nicole's belief on fuse: None}\n- Step 1: (Nicole location unchanged; fuse location unchanged) {Nicole location: basement; fuse location: gym's coffee table; Nicole sees fuse: False; Nicole's belief on fuse: None}\n- Step 2: (Nicole location changed; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 3: (Nicole location unchanged; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 4: (Nicole location unchanged; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 5: (Nicole location unchanged; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 6: (Nicole location changed; fuse location changed) {Nicole location: basement; fuse location: basement's mantel; Nicole sees fuse: True; Nicole's belief on fuse: basement's mantel}\n- Step 7: (Nicole location unchanged; fuse location changed) {Nicole location: basement; fuse location: gym's coffee table; Nicole sees fuse: False; Nicole's belief on fuse: basement's mantel}\n- Step 8: (Nicole location changed; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 9: (Nicole location unchanged; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\n- Step 10: (Nicole location unchanged; fuse location unchanged) {Nicole location: gym; fuse location: gym's coffee table; Nicole sees fuse: True; Nicole's belief on fuse: gym's coffee table}\nFinal Answer: the gym's coffee table","item":{"question":"Where does Nicole believe the fuse is?","story_components":"Agents: [Jeremiah, Nicole].\nObjects: [the fuse, the battery].\nRooms: [the basement, the gym].\nContainers: [the basement's mantel, the basement's coffee table, the gym's mantel, the gym's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_166","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Selena is in the mudroom; Angela is in the hallway; the rubber band is on the hallway's cabinet top; the pen is on the hallway's cabinet top.\nStep 1: Angela moves to the mudroom, and moves the pen to the mudroom's stand.\nStep 2: Angela moves to the hallway.\nStep 3: Selena moves to the hallway.\nStep 4: Angela moves the rubber band to the hallway's stand.\nStep 5: Selena moves the rubber band to the hallway's cabinet top.\nStep 6: Angela moves the rubber band to the hallway's stand.\nStep 7: Selena moves to the mudroom.\nStep 8: Angela moves to the mudroom.\nStep 9: Selena leaves the room he was in.\nStep 10: Angela moves to the hallway, and moves the pen to the hallway's cabinet top.\n\n[QUESTION]\nWhere does Angela believe the rubber band is?\n\n[YOUR ANSWER]","reference_output":"Angela's belief on the rubber band:\n- Step 0: (initial state) {Angela location: hallway; rubber band location: hallway's cabinet top; Angela sees rubber band: True; Angela's belief on rubber band: hallway's cabinet top}\n- Step 1: (Angela location changed; rubber band location unchanged) {Angela location: mudroom; rubber band location: hallway's cabinet top; Angela sees rubber band: False; Angela's belief on rubber band: hallway's cabinet top}\n- Step 2: (Angela location changed; rubber band location unchanged) {Angela location: hallway; rubber band location: hallway's cabinet top; Angela sees rubber band: True; Angela's belief on rubber band: hallway's cabinet top}\n- Step 3: (Angela location unchanged; rubber band location unchanged) {Angela location: hallway; rubber band location: hallway's cabinet top; Angela sees rubber band: True; Angela's belief on rubber band: hallway's cabinet top}\n- Step 4: (Angela location unchanged; rubber band location changed) {Angela location: hallway; rubber band location: hallway's stand; Angela sees rubber band: True; Angela's belief on rubber band: hallway's stand}\n- Step 5: (Angela location unchanged; rubber band location changed) {Angela location: hallway; rubber band location: hallway's cabinet top; Angela sees rubber band: True; Angela's belief on rubber band: hallway's cabinet top}\n- Step 6: (Angela location unchanged; rubber band location changed) {Angela location: hallway; rubber band location: hallway's stand; Angela sees rubber band: True; Angela's belief on rubber band: hallway's stand}\n- Step 7: (Angela location unchanged; rubber band location unchanged) {Angela location: hallway; rubber band location: hallway's stand; Angela sees rubber band: True; Angela's belief on rubber band: hallway's stand}\n- Step 8: (Angela location changed; rubber band location unchanged) {Angela location: mudroom; rubber band location: hallway's stand; Angela sees rubber band: False; Angela's belief on rubber band: hallway's stand}\n- Step 9: (Angela location unchanged; rubber band location unchanged) {Angela location: mudroom; rubber band location: hallway's stand; Angela sees rubber band: False; Angela's belief on rubber band: hallway's stand}\n- Step 10: (Angela location changed; rubber band location unchanged) {Angela location: hallway; rubber band location: hallway's stand; Angela sees rubber band: True; Angela's belief on rubber band: hallway's stand}\nFinal Answer: the hallway's stand","item":{"question":"Where does Angela believe the rubber band is?","story_components":"Agents: [Selena, Angela].\nObjects: [the rubber band, the pen].\nRooms: [the hallway, the mudroom].\nContainers: [the hallway's stand, the hallway's cabinet top, the mudroom's stand, the mudroom's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_167","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Chris is in the craft room; Judy is in the nursery; the feather is on the nursery's bar; the sponge is on the nursery's stand.\nStep 1: Chris moves to the nursery.\nStep 2: Judy moves to the craft room.\nStep 3: Chris moves to the craft room, and moves the sponge to the craft room's bar.\nStep 4: Judy moves to the nursery, and moves the sponge to the nursery's bar.\nStep 5: Chris moves to the nursery.\nStep 6: Judy moves the feather to the nursery's stand.\nStep 7: Chris moves the feather to the nursery's bar.\nStep 8: Judy leaves the room he was in.\nStep 9: Chris leaves the room he was in.\nStep 10: Judy enters the craft room.\n\n[QUESTION]\nWhere does Judy believe the feather is?\n\n[YOUR ANSWER]","reference_output":"Judy's belief on the feather:\n- Step 0: (initial state) {Judy location: nursery; feather location: nursery's bar; Judy sees feather: True; Judy's belief on feather: nursery's bar}\n- Step 1: (Judy location unchanged; feather location unchanged) {Judy location: nursery; feather location: nursery's bar; Judy sees feather: True; Judy's belief on feather: nursery's bar}\n- Step 2: (Judy location changed; feather location unchanged) {Judy location: craft room; feather location: nursery's bar; Judy sees feather: False; Judy's belief on feather: nursery's bar}\n- Step 3: (Judy location unchanged; feather location unchanged) {Judy location: craft room; feather location: nursery's bar; Judy sees feather: False; Judy's belief on feather: nursery's bar}\n- Step 4: (Judy location changed; feather location unchanged) {Judy location: nursery; feather location: nursery's bar; Judy sees feather: True; Judy's belief on feather: nursery's bar}\n- Step 5: (Judy location unchanged; feather location unchanged) {Judy location: nursery; feather location: nursery's bar; Judy sees feather: True; Judy's belief on feather: nursery's bar}\n- Step 6: (Judy location unchanged; feather location changed) {Judy location: nursery; feather location: nursery's stand; Judy sees feather: True; Judy's belief on feather: nursery's stand}\n- Step 7: (Judy location unchanged; feather location changed) {Judy location: nursery; feather location: nursery's bar; Judy sees feather: True; Judy's belief on feather: nursery's bar}\n- Step 8: (Judy location changed; feather location unchanged) {Judy location: None; feather location: nursery's bar; Judy sees feather: False; Judy's belief on feather: nursery's bar}\n- Step 9: (Judy location unchanged; feather location unchanged) {Judy location: None; feather location: nursery's bar; Judy sees feather: False; Judy's belief on feather: nursery's bar}\n- Step 10: (Judy location changed; feather location unchanged) {Judy location: craft room; feather location: nursery's bar; Judy sees feather: False; Judy's belief on feather: nursery's bar}\nFinal Answer: the nursery's bar","item":{"question":"Where does Judy believe the feather is?","story_components":"Agents: [Chris, Judy].\nObjects: [the feather, the sponge].\nRooms: [the craft room, the nursery].\nContainers: [the craft room's stand, the craft room's bar, the nursery's stand, the nursery's bar]"}}
+{"instance_id":"tom_tracking_0.5k_168","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Bobby is in the bedroom; Caroline is in the study; the lip balm is on the study's sideboard; the nail clipper is on the bedroom's workbench.\nStep 1: Bobby leaves the room he was in.\nStep 2: Caroline leaves the room he was in.\nStep 3: Bobby enters the bedroom.\nStep 4: Caroline enters the bedroom.\nStep 5: Bobby moves to the study, and moves the nail clipper to the study's sideboard.\nStep 6: Caroline moves to the study.\nStep 7: Bobby moves to the bedroom, and moves the lip balm to the bedroom's sideboard.\nStep 8: Caroline leaves the room he was in.\nStep 9: Bobby moves to the study, and moves the lip balm to the study's workbench.\nStep 10: Caroline enters the study.\n\n[QUESTION]\nWhere does Bobby believe the nail clipper is?\n\n[YOUR ANSWER]","reference_output":"Bobby's belief on the nail clipper:\n- Step 0: (initial state) {Bobby location: bedroom; nail clipper location: bedroom's workbench; Bobby sees nail clipper: True; Bobby's belief on nail clipper: bedroom's workbench}\n- Step 1: (Bobby location changed; nail clipper location unchanged) {Bobby location: None; nail clipper location: bedroom's workbench; Bobby sees nail clipper: False; Bobby's belief on nail clipper: bedroom's workbench}\n- Step 2: (Bobby location unchanged; nail clipper location unchanged) {Bobby location: None; nail clipper location: bedroom's workbench; Bobby sees nail clipper: False; Bobby's belief on nail clipper: bedroom's workbench}\n- Step 3: (Bobby location changed; nail clipper location unchanged) {Bobby location: bedroom; nail clipper location: bedroom's workbench; Bobby sees nail clipper: True; Bobby's belief on nail clipper: bedroom's workbench}\n- Step 4: (Bobby location unchanged; nail clipper location unchanged) {Bobby location: bedroom; nail clipper location: bedroom's workbench; Bobby sees nail clipper: True; Bobby's belief on nail clipper: bedroom's workbench}\n- Step 5: (Bobby location changed; nail clipper location changed) {Bobby location: study; nail clipper location: study's sideboard; Bobby sees nail clipper: True; Bobby's belief on nail clipper: study's sideboard}\n- Step 6: (Bobby location unchanged; nail clipper location unchanged) {Bobby location: study; nail clipper location: study's sideboard; Bobby sees nail clipper: True; Bobby's belief on nail clipper: study's sideboard}\n- Step 7: (Bobby location changed; nail clipper location unchanged) {Bobby location: bedroom; nail clipper location: study's sideboard; Bobby sees nail clipper: False; Bobby's belief on nail clipper: study's sideboard}\n- Step 8: (Bobby location unchanged; nail clipper location unchanged) {Bobby location: bedroom; nail clipper location: study's sideboard; Bobby sees nail clipper: False; Bobby's belief on nail clipper: study's sideboard}\n- Step 9: (Bobby location changed; nail clipper location unchanged) {Bobby location: study; nail clipper location: study's sideboard; Bobby sees nail clipper: True; Bobby's belief on nail clipper: study's sideboard}\n- Step 10: (Bobby location unchanged; nail clipper location unchanged) {Bobby location: study; nail clipper location: study's sideboard; Bobby sees nail clipper: True; Bobby's belief on nail clipper: study's sideboard}\nFinal Answer: the study's sideboard","item":{"question":"Where does Bobby believe the nail clipper is?","story_components":"Agents: [Bobby, Caroline].\nObjects: [the lip balm, the nail clipper].\nRooms: [the study, the bedroom].\nContainers: [the study's sideboard, the study's workbench, the bedroom's sideboard, the bedroom's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_169","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the basement; Benjamin is in the bedroom; the playing marble is on the bedroom's credenza; the paper crane is on the bedroom's buffet.\nStep 1: Christine moves to the bedroom.\nStep 2: Benjamin moves the paper crane to the bedroom's credenza.\nStep 3: Christine leaves the room he was in.\nStep 4: Benjamin moves to the basement, and moves the playing marble to the basement's buffet.\nStep 5: Christine enters the basement.\nStep 6: Benjamin moves to the bedroom.\nStep 7: Christine moves to the bedroom.\nStep 8: Benjamin moves to the basement.\nStep 9: Christine leaves the room he was in.\nStep 10: Benjamin leaves the room he was in.\n\n[QUESTION]\nWhere does Benjamin believe the playing marble is?\n\n[YOUR ANSWER]","reference_output":"Benjamin's belief on the playing marble:\n- Step 0: (initial state) {Benjamin location: bedroom; playing marble location: bedroom's credenza; Benjamin sees playing marble: True; Benjamin's belief on playing marble: bedroom's credenza}\n- Step 1: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: bedroom; playing marble location: bedroom's credenza; Benjamin sees playing marble: True; Benjamin's belief on playing marble: bedroom's credenza}\n- Step 2: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: bedroom; playing marble location: bedroom's credenza; Benjamin sees playing marble: True; Benjamin's belief on playing marble: bedroom's credenza}\n- Step 3: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: bedroom; playing marble location: bedroom's credenza; Benjamin sees playing marble: True; Benjamin's belief on playing marble: bedroom's credenza}\n- Step 4: (Benjamin location changed; playing marble location changed) {Benjamin location: basement; playing marble location: basement's buffet; Benjamin sees playing marble: True; Benjamin's belief on playing marble: basement's buffet}\n- Step 5: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: basement; playing marble location: basement's buffet; Benjamin sees playing marble: True; Benjamin's belief on playing marble: basement's buffet}\n- Step 6: (Benjamin location changed; playing marble location unchanged) {Benjamin location: bedroom; playing marble location: basement's buffet; Benjamin sees playing marble: False; Benjamin's belief on playing marble: basement's buffet}\n- Step 7: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: bedroom; playing marble location: basement's buffet; Benjamin sees playing marble: False; Benjamin's belief on playing marble: basement's buffet}\n- Step 8: (Benjamin location changed; playing marble location unchanged) {Benjamin location: basement; playing marble location: basement's buffet; Benjamin sees playing marble: True; Benjamin's belief on playing marble: basement's buffet}\n- Step 9: (Benjamin location unchanged; playing marble location unchanged) {Benjamin location: basement; playing marble location: basement's buffet; Benjamin sees playing marble: True; Benjamin's belief on playing marble: basement's buffet}\n- Step 10: (Benjamin location changed; playing marble location unchanged) {Benjamin location: None; playing marble location: basement's buffet; Benjamin sees playing marble: False; Benjamin's belief on playing marble: basement's buffet}\nFinal Answer: the basement's buffet","item":{"question":"Where does Benjamin believe the playing marble is?","story_components":"Agents: [Christine, Benjamin].\nObjects: [the playing marble, the paper crane].\nRooms: [the basement, the bedroom].\nContainers: [the basement's credenza, the basement's buffet, the bedroom's credenza, the bedroom's buffet]"}}
+{"instance_id":"tom_tracking_0.5k_170","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Justin is in the bathroom; Corey is in the kitchen; the orange is on the kitchen's pedestal; the golf ball is on the kitchen's pedestal.\nStep 1: Justin moves to the kitchen.\nStep 2: Corey moves to the bathroom.\nStep 3: Justin moves to the bathroom, and moves the golf ball to the bathroom's pedestal.\nStep 4: Corey moves to the kitchen, and moves the golf ball to the kitchen's pedestal.\nStep 5: Corey moves to the bathroom, and moves the orange to the bathroom's shelf.\nStep 6: Corey moves the orange to the bathroom's pedestal.\nStep 7: Justin moves the orange to the bathroom's shelf.\nStep 8: Corey moves the orange to the bathroom's pedestal.\nStep 9: Justin moves to the kitchen.\nStep 10: Corey moves the orange to the bathroom's shelf.\n\n[QUESTION]\nWhere does Corey believe the golf ball is?\n\n[YOUR ANSWER]","reference_output":"Corey's belief on the golf ball:\n- Step 0: (initial state) {Corey location: kitchen; golf ball location: kitchen's pedestal; Corey sees golf ball: True; Corey's belief on golf ball: kitchen's pedestal}\n- Step 1: (Corey location unchanged; golf ball location unchanged) {Corey location: kitchen; golf ball location: kitchen's pedestal; Corey sees golf ball: True; Corey's belief on golf ball: kitchen's pedestal}\n- Step 2: (Corey location changed; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 3: (Corey location unchanged; golf ball location changed) {Corey location: bathroom; golf ball location: bathroom's pedestal; Corey sees golf ball: True; Corey's belief on golf ball: bathroom's pedestal}\n- Step 4: (Corey location changed; golf ball location changed) {Corey location: kitchen; golf ball location: kitchen's pedestal; Corey sees golf ball: True; Corey's belief on golf ball: kitchen's pedestal}\n- Step 5: (Corey location changed; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 6: (Corey location unchanged; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 7: (Corey location unchanged; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 8: (Corey location unchanged; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 9: (Corey location unchanged; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\n- Step 10: (Corey location unchanged; golf ball location unchanged) {Corey location: bathroom; golf ball location: kitchen's pedestal; Corey sees golf ball: False; Corey's belief on golf ball: kitchen's pedestal}\nFinal Answer: the kitchen's pedestal","item":{"question":"Where does Corey believe the golf ball is?","story_components":"Agents: [Justin, Corey].\nObjects: [the orange, the golf ball].\nRooms: [the bathroom, the kitchen].\nContainers: [the bathroom's pedestal, the bathroom's shelf, the kitchen's pedestal, the kitchen's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_171","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Donald is in the lounge; Savannah is in the kitchen; the lipstick is on the lounge's mantel; the notebook is on the lounge's workbench.\nStep 1: Donald leaves the room he was in.\nStep 2: Savannah moves to the lounge.\nStep 3: Donald enters the kitchen.\nStep 4: Savannah leaves the room he was in.\nStep 5: Donald moves to the lounge.\nStep 6: Savannah enters the lounge.\nStep 7: Donald moves to the kitchen.\nStep 8: Savannah moves the notebook to the lounge's mantel.\nStep 9: Donald moves to the lounge.\nStep 10: Savannah moves the lipstick to the lounge's workbench.\n\n[QUESTION]\nWhere does Savannah believe the notebook is?\n\n[YOUR ANSWER]","reference_output":"Savannah's belief on the notebook:\n- Step 0: (initial state) {Savannah location: kitchen; notebook location: lounge's workbench; Savannah sees notebook: False; Savannah's belief on notebook: None}\n- Step 1: (Savannah location unchanged; notebook location unchanged) {Savannah location: kitchen; notebook location: lounge's workbench; Savannah sees notebook: False; Savannah's belief on notebook: None}\n- Step 2: (Savannah location changed; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's workbench; Savannah sees notebook: True; Savannah's belief on notebook: lounge's workbench}\n- Step 3: (Savannah location unchanged; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's workbench; Savannah sees notebook: True; Savannah's belief on notebook: lounge's workbench}\n- Step 4: (Savannah location changed; notebook location unchanged) {Savannah location: None; notebook location: lounge's workbench; Savannah sees notebook: False; Savannah's belief on notebook: lounge's workbench}\n- Step 5: (Savannah location unchanged; notebook location unchanged) {Savannah location: None; notebook location: lounge's workbench; Savannah sees notebook: False; Savannah's belief on notebook: lounge's workbench}\n- Step 6: (Savannah location changed; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's workbench; Savannah sees notebook: True; Savannah's belief on notebook: lounge's workbench}\n- Step 7: (Savannah location unchanged; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's workbench; Savannah sees notebook: True; Savannah's belief on notebook: lounge's workbench}\n- Step 8: (Savannah location unchanged; notebook location changed) {Savannah location: lounge; notebook location: lounge's mantel; Savannah sees notebook: True; Savannah's belief on notebook: lounge's mantel}\n- Step 9: (Savannah location unchanged; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's mantel; Savannah sees notebook: True; Savannah's belief on notebook: lounge's mantel}\n- Step 10: (Savannah location unchanged; notebook location unchanged) {Savannah location: lounge; notebook location: lounge's mantel; Savannah sees notebook: True; Savannah's belief on notebook: lounge's mantel}\nFinal Answer: the lounge's mantel","item":{"question":"Where does Savannah believe the notebook is?","story_components":"Agents: [Donald, Savannah].\nObjects: [the lipstick, the notebook].\nRooms: [the lounge, the kitchen].\nContainers: [the lounge's workbench, the lounge's mantel, the kitchen's workbench, the kitchen's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_172","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Raymond is in the guest room; Tiffany is in the closet; the paperclip is on the guest room's bar; the battery is on the closet's counter.\nStep 1: Raymond moves to the closet.\nStep 2: Tiffany moves to the guest room, and moves the battery to the guest room's bar.\nStep 3: Raymond moves to the guest room.\nStep 4: Tiffany moves to the closet.\nStep 5: Raymond moves the paperclip to the guest room's counter.\nStep 6: Raymond moves to the closet.\nStep 7: Raymond moves to the guest room.\nStep 8: Tiffany moves to the guest room.\nStep 9: Raymond moves the battery to the guest room's counter.\nStep 10: Tiffany moves to the closet.\n\n[QUESTION]\nWhere does Raymond believe the paperclip is?\n\n[YOUR ANSWER]","reference_output":"Raymond's belief on the paperclip:\n- Step 0: (initial state) {Raymond location: guest room; paperclip location: guest room's bar; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's bar}\n- Step 1: (Raymond location changed; paperclip location unchanged) {Raymond location: closet; paperclip location: guest room's bar; Raymond sees paperclip: False; Raymond's belief on paperclip: guest room's bar}\n- Step 2: (Raymond location unchanged; paperclip location unchanged) {Raymond location: closet; paperclip location: guest room's bar; Raymond sees paperclip: False; Raymond's belief on paperclip: guest room's bar}\n- Step 3: (Raymond location changed; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's bar; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's bar}\n- Step 4: (Raymond location unchanged; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's bar; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's bar}\n- Step 5: (Raymond location unchanged; paperclip location changed) {Raymond location: guest room; paperclip location: guest room's counter; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's counter}\n- Step 6: (Raymond location changed; paperclip location unchanged) {Raymond location: closet; paperclip location: guest room's counter; Raymond sees paperclip: False; Raymond's belief on paperclip: guest room's counter}\n- Step 7: (Raymond location changed; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's counter; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's counter}\n- Step 8: (Raymond location unchanged; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's counter; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's counter}\n- Step 9: (Raymond location unchanged; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's counter; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's counter}\n- Step 10: (Raymond location unchanged; paperclip location unchanged) {Raymond location: guest room; paperclip location: guest room's counter; Raymond sees paperclip: True; Raymond's belief on paperclip: guest room's counter}\nFinal Answer: the guest room's counter","item":{"question":"Where does Raymond believe the paperclip is?","story_components":"Agents: [Raymond, Tiffany].\nObjects: [the paperclip, the battery].\nRooms: [the closet, the guest room].\nContainers: [the closet's bar, the closet's counter, the guest room's bar, the guest room's counter]"}}
+{"instance_id":"tom_tracking_0.5k_173","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jennifer is in the closet; William is in the closet; the notebook is on the laundry room's bistro table; the bobby pin is on the closet's bistro table.\nStep 1: Jennifer moves the bobby pin to the closet's mantel.\nStep 2: William moves the bobby pin to the closet's bistro table.\nStep 3: Jennifer moves to the laundry room.\nStep 4: William moves to the laundry room, and moves the bobby pin to the laundry room's mantel.\nStep 5: Jennifer moves to the closet, and moves the notebook to the closet's mantel.\nStep 6: William leaves the room he was in.\nStep 7: Jennifer moves to the laundry room.\nStep 8: William enters the laundry room.\nStep 9: Jennifer moves the bobby pin to the laundry room's bistro table.\nStep 10: William moves to the closet, and moves the bobby pin to the closet's mantel.\n\n[QUESTION]\nWhere does Jennifer believe the notebook is?\n\n[YOUR ANSWER]","reference_output":"Jennifer's belief on the notebook:\n- Step 0: (initial state) {Jennifer location: closet; notebook location: laundry room's bistro table; Jennifer sees notebook: False; Jennifer's belief on notebook: None}\n- Step 1: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: closet; notebook location: laundry room's bistro table; Jennifer sees notebook: False; Jennifer's belief on notebook: None}\n- Step 2: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: closet; notebook location: laundry room's bistro table; Jennifer sees notebook: False; Jennifer's belief on notebook: None}\n- Step 3: (Jennifer location changed; notebook location unchanged) {Jennifer location: laundry room; notebook location: laundry room's bistro table; Jennifer sees notebook: True; Jennifer's belief on notebook: laundry room's bistro table}\n- Step 4: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: laundry room; notebook location: laundry room's bistro table; Jennifer sees notebook: True; Jennifer's belief on notebook: laundry room's bistro table}\n- Step 5: (Jennifer location changed; notebook location changed) {Jennifer location: closet; notebook location: closet's mantel; Jennifer sees notebook: True; Jennifer's belief on notebook: closet's mantel}\n- Step 6: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: closet; notebook location: closet's mantel; Jennifer sees notebook: True; Jennifer's belief on notebook: closet's mantel}\n- Step 7: (Jennifer location changed; notebook location unchanged) {Jennifer location: laundry room; notebook location: closet's mantel; Jennifer sees notebook: False; Jennifer's belief on notebook: closet's mantel}\n- Step 8: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: laundry room; notebook location: closet's mantel; Jennifer sees notebook: False; Jennifer's belief on notebook: closet's mantel}\n- Step 9: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: laundry room; notebook location: closet's mantel; Jennifer sees notebook: False; Jennifer's belief on notebook: closet's mantel}\n- Step 10: (Jennifer location unchanged; notebook location unchanged) {Jennifer location: laundry room; notebook location: closet's mantel; Jennifer sees notebook: False; Jennifer's belief on notebook: closet's mantel}\nFinal Answer: the closet's mantel","item":{"question":"Where does Jennifer believe the notebook is?","story_components":"Agents: [Jennifer, William].\nObjects: [the notebook, the bobby pin].\nRooms: [the laundry room, the closet].\nContainers: [the laundry room's bistro table, the laundry room's mantel, the closet's bistro table, the closet's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_174","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Angela is in the living room; Crystal is in the living room; the playing card is on the bathroom's console table; the orange is on the living room's console table.\nStep 1: Angela moves to the bathroom.\nStep 2: Crystal moves to the bathroom, and moves the orange to the bathroom's shelf.\nStep 3: Angela leaves the room he was in.\nStep 4: Crystal moves to the living room, and moves the playing card to the living room's shelf.\nStep 5: Angela enters the living room.\nStep 6: Crystal leaves the room he was in.\nStep 7: Angela leaves the room he was in.\nStep 8: Crystal enters the living room.\nStep 9: Angela enters the bathroom.\nStep 10: Crystal moves to the bathroom.\n\n[QUESTION]\nWhere does Crystal believe the playing card is?\n\n[YOUR ANSWER]","reference_output":"Crystal's belief on the playing card:\n- Step 0: (initial state) {Crystal location: living room; playing card location: bathroom's console table; Crystal sees playing card: False; Crystal's belief on playing card: None}\n- Step 1: (Crystal location unchanged; playing card location unchanged) {Crystal location: living room; playing card location: bathroom's console table; Crystal sees playing card: False; Crystal's belief on playing card: None}\n- Step 2: (Crystal location changed; playing card location unchanged) {Crystal location: bathroom; playing card location: bathroom's console table; Crystal sees playing card: True; Crystal's belief on playing card: bathroom's console table}\n- Step 3: (Crystal location unchanged; playing card location unchanged) {Crystal location: bathroom; playing card location: bathroom's console table; Crystal sees playing card: True; Crystal's belief on playing card: bathroom's console table}\n- Step 4: (Crystal location changed; playing card location changed) {Crystal location: living room; playing card location: living room's shelf; Crystal sees playing card: True; Crystal's belief on playing card: living room's shelf}\n- Step 5: (Crystal location unchanged; playing card location unchanged) {Crystal location: living room; playing card location: living room's shelf; Crystal sees playing card: True; Crystal's belief on playing card: living room's shelf}\n- Step 6: (Crystal location changed; playing card location unchanged) {Crystal location: None; playing card location: living room's shelf; Crystal sees playing card: False; Crystal's belief on playing card: living room's shelf}\n- Step 7: (Crystal location unchanged; playing card location unchanged) {Crystal location: None; playing card location: living room's shelf; Crystal sees playing card: False; Crystal's belief on playing card: living room's shelf}\n- Step 8: (Crystal location changed; playing card location unchanged) {Crystal location: living room; playing card location: living room's shelf; Crystal sees playing card: True; Crystal's belief on playing card: living room's shelf}\n- Step 9: (Crystal location unchanged; playing card location unchanged) {Crystal location: living room; playing card location: living room's shelf; Crystal sees playing card: True; Crystal's belief on playing card: living room's shelf}\n- Step 10: (Crystal location changed; playing card location unchanged) {Crystal location: bathroom; playing card location: living room's shelf; Crystal sees playing card: False; Crystal's belief on playing card: living room's shelf}\nFinal Answer: the living room's shelf","item":{"question":"Where does Crystal believe the playing card is?","story_components":"Agents: [Angela, Crystal].\nObjects: [the playing card, the orange].\nRooms: [the bathroom, the living room].\nContainers: [the bathroom's console table, the bathroom's shelf, the living room's console table, the living room's shelf]"}}
+{"instance_id":"tom_tracking_0.5k_175","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Robert is in the sunroom; Caroline is in the garage; the golf ball is on the garage's bench; the shoe lace is on the garage's credenza.\nStep 1: Robert moves to the garage.\nStep 2: Caroline leaves the room he was in.\nStep 3: Robert moves to the sunroom, and moves the shoe lace to the sunroom's bench.\nStep 4: Caroline enters the sunroom.\nStep 5: Robert leaves the room he was in.\nStep 6: Caroline moves to the garage, and moves the shoe lace to the garage's bench.\nStep 7: Robert enters the sunroom.\nStep 8: Caroline moves the golf ball to the garage's credenza.\nStep 9: Robert moves to the garage.\nStep 10: Caroline moves to the sunroom, and moves the golf ball to the sunroom's credenza.\n\n[QUESTION]\nWhere does Robert believe the shoe lace is?\n\n[YOUR ANSWER]","reference_output":"Robert's belief on the shoe lace:\n- Step 0: (initial state) {Robert location: sunroom; shoe lace location: garage's credenza; Robert sees shoe lace: False; Robert's belief on shoe lace: None}\n- Step 1: (Robert location changed; shoe lace location unchanged) {Robert location: garage; shoe lace location: garage's credenza; Robert sees shoe lace: True; Robert's belief on shoe lace: garage's credenza}\n- Step 2: (Robert location unchanged; shoe lace location unchanged) {Robert location: garage; shoe lace location: garage's credenza; Robert sees shoe lace: True; Robert's belief on shoe lace: garage's credenza}\n- Step 3: (Robert location changed; shoe lace location changed) {Robert location: sunroom; shoe lace location: sunroom's bench; Robert sees shoe lace: True; Robert's belief on shoe lace: sunroom's bench}\n- Step 4: (Robert location unchanged; shoe lace location unchanged) {Robert location: sunroom; shoe lace location: sunroom's bench; Robert sees shoe lace: True; Robert's belief on shoe lace: sunroom's bench}\n- Step 5: (Robert location changed; shoe lace location unchanged) {Robert location: None; shoe lace location: sunroom's bench; Robert sees shoe lace: False; Robert's belief on shoe lace: sunroom's bench}\n- Step 6: (Robert location unchanged; shoe lace location changed) {Robert location: None; shoe lace location: garage's bench; Robert sees shoe lace: False; Robert's belief on shoe lace: sunroom's bench}\n- Step 7: (Robert location changed; shoe lace location unchanged) {Robert location: sunroom; shoe lace location: garage's bench; Robert sees shoe lace: False; Robert's belief on shoe lace: sunroom's bench}\n- Step 8: (Robert location unchanged; shoe lace location unchanged) {Robert location: sunroom; shoe lace location: garage's bench; Robert sees shoe lace: False; Robert's belief on shoe lace: sunroom's bench}\n- Step 9: (Robert location changed; shoe lace location unchanged) {Robert location: garage; shoe lace location: garage's bench; Robert sees shoe lace: True; Robert's belief on shoe lace: garage's bench}\n- Step 10: (Robert location unchanged; shoe lace location unchanged) {Robert location: garage; shoe lace location: garage's bench; Robert sees shoe lace: True; Robert's belief on shoe lace: garage's bench}\nFinal Answer: the garage's bench","item":{"question":"Where does Robert believe the shoe lace is?","story_components":"Agents: [Robert, Caroline].\nObjects: [the golf ball, the shoe lace].\nRooms: [the garage, the sunroom].\nContainers: [the garage's bench, the garage's credenza, the sunroom's bench, the sunroom's credenza]"}}
+{"instance_id":"tom_tracking_0.5k_176","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Michael is in the home theater; Rebecca is in the playroom; the knife is on the home theater's sideboard; the matchstick is on the playroom's side table.\nStep 1: Michael moves to the playroom, and moves the knife to the playroom's sideboard.\nStep 2: Rebecca moves the matchstick to the playroom's sideboard.\nStep 3: Michael moves to the home theater.\nStep 4: Rebecca moves the matchstick to the playroom's side table.\nStep 5: Rebecca moves the knife to the playroom's side table.\nStep 6: Rebecca moves the matchstick to the playroom's sideboard.\nStep 7: Michael moves to the playroom.\nStep 8: Rebecca leaves the room he was in.\nStep 9: Michael leaves the room he was in.\nStep 10: Rebecca enters the playroom.\n\n[QUESTION]\nWhere does Michael believe the matchstick is?\n\n[YOUR ANSWER]","reference_output":"Michael's belief on the matchstick:\n- Step 0: (initial state) {Michael location: home theater; matchstick location: playroom's side table; Michael sees matchstick: False; Michael's belief on matchstick: None}\n- Step 1: (Michael location changed; matchstick location unchanged) {Michael location: playroom; matchstick location: playroom's side table; Michael sees matchstick: True; Michael's belief on matchstick: playroom's side table}\n- Step 2: (Michael location unchanged; matchstick location changed) {Michael location: playroom; matchstick location: playroom's sideboard; Michael sees matchstick: True; Michael's belief on matchstick: playroom's sideboard}\n- Step 3: (Michael location changed; matchstick location unchanged) {Michael location: home theater; matchstick location: playroom's sideboard; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\n- Step 4: (Michael location unchanged; matchstick location changed) {Michael location: home theater; matchstick location: playroom's side table; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\n- Step 5: (Michael location unchanged; matchstick location unchanged) {Michael location: home theater; matchstick location: playroom's side table; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\n- Step 6: (Michael location unchanged; matchstick location changed) {Michael location: home theater; matchstick location: playroom's sideboard; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\n- Step 7: (Michael location changed; matchstick location unchanged) {Michael location: playroom; matchstick location: playroom's sideboard; Michael sees matchstick: True; Michael's belief on matchstick: playroom's sideboard}\n- Step 8: (Michael location unchanged; matchstick location unchanged) {Michael location: playroom; matchstick location: playroom's sideboard; Michael sees matchstick: True; Michael's belief on matchstick: playroom's sideboard}\n- Step 9: (Michael location changed; matchstick location unchanged) {Michael location: None; matchstick location: playroom's sideboard; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\n- Step 10: (Michael location unchanged; matchstick location unchanged) {Michael location: None; matchstick location: playroom's sideboard; Michael sees matchstick: False; Michael's belief on matchstick: playroom's sideboard}\nFinal Answer: the playroom's sideboard","item":{"question":"Where does Michael believe the matchstick is?","story_components":"Agents: [Michael, Rebecca].\nObjects: [the knife, the matchstick].\nRooms: [the home theater, the playroom].\nContainers: [the home theater's side table, the home theater's sideboard, the playroom's side table, the playroom's sideboard]"}}
+{"instance_id":"tom_tracking_0.5k_177","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Shelly is in the balcony; Patricia is in the hallway; the necklace is on the hallway's coffee table; the thread spool is on the hallway's stool.\nStep 1: Patricia moves to the balcony.\nStep 2: Patricia moves to the hallway.\nStep 3: Patricia moves the thread spool to the hallway's coffee table.\nStep 4: Patricia moves to the balcony.\nStep 5: Shelly moves to the hallway.\nStep 6: Shelly moves to the balcony, and moves the necklace to the balcony's stool.\nStep 7: Shelly leaves the room he was in.\nStep 8: Patricia moves to the hallway, and moves the necklace to the hallway's stool.\nStep 9: Shelly enters the balcony.\nStep 10: Patricia moves the thread spool to the hallway's stool.\n\n[QUESTION]\nWhere does Shelly believe the thread spool is?\n\n[YOUR ANSWER]","reference_output":"Shelly's belief on the thread spool:\n- Step 0: (initial state) {Shelly location: balcony; thread spool location: hallway's stool; Shelly sees thread spool: False; Shelly's belief on thread spool: None}\n- Step 1: (Shelly location unchanged; thread spool location unchanged) {Shelly location: balcony; thread spool location: hallway's stool; Shelly sees thread spool: False; Shelly's belief on thread spool: None}\n- Step 2: (Shelly location unchanged; thread spool location unchanged) {Shelly location: balcony; thread spool location: hallway's stool; Shelly sees thread spool: False; Shelly's belief on thread spool: None}\n- Step 3: (Shelly location unchanged; thread spool location changed) {Shelly location: balcony; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: None}\n- Step 4: (Shelly location unchanged; thread spool location unchanged) {Shelly location: balcony; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: None}\n- Step 5: (Shelly location changed; thread spool location unchanged) {Shelly location: hallway; thread spool location: hallway's coffee table; Shelly sees thread spool: True; Shelly's belief on thread spool: hallway's coffee table}\n- Step 6: (Shelly location changed; thread spool location unchanged) {Shelly location: balcony; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: hallway's coffee table}\n- Step 7: (Shelly location changed; thread spool location unchanged) {Shelly location: None; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: hallway's coffee table}\n- Step 8: (Shelly location unchanged; thread spool location unchanged) {Shelly location: None; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: hallway's coffee table}\n- Step 9: (Shelly location changed; thread spool location unchanged) {Shelly location: balcony; thread spool location: hallway's coffee table; Shelly sees thread spool: False; Shelly's belief on thread spool: hallway's coffee table}\n- Step 10: (Shelly location unchanged; thread spool location changed) {Shelly location: balcony; thread spool location: hallway's stool; Shelly sees thread spool: False; Shelly's belief on thread spool: hallway's coffee table}\nFinal Answer: the hallway's coffee table","item":{"question":"Where does Shelly believe the thread spool is?","story_components":"Agents: [Shelly, Patricia].\nObjects: [the necklace, the thread spool].\nRooms: [the balcony, the hallway].\nContainers: [the balcony's coffee table, the balcony's stool, the hallway's coffee table, the hallway's stool]"}}
+{"instance_id":"tom_tracking_0.5k_178","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Donald is in the sunroom; Scott is in the craft room; the coin purse is on the sunroom's mantel; the ticket is on the sunroom's mantel.\nStep 1: Donald moves to the craft room.\nStep 2: Scott moves to the sunroom.\nStep 3: Scott moves to the craft room.\nStep 4: Scott moves to the sunroom.\nStep 5: Donald moves to the sunroom.\nStep 6: Scott moves to the craft room, and moves the ticket to the craft room's mantel.\nStep 7: Donald moves the coin purse to the sunroom's coffee table.\nStep 8: Scott moves the ticket to the craft room's coffee table.\nStep 9: Donald moves the coin purse to the sunroom's mantel.\nStep 10: Scott moves the ticket to the craft room's mantel.\n\n[QUESTION]\nWhere does Scott believe the coin purse is?\n\n[YOUR ANSWER]","reference_output":"Scott's belief on the coin purse:\n- Step 0: (initial state) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: None}\n- Step 1: (Scott location unchanged; coin purse location unchanged) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: None}\n- Step 2: (Scott location changed; coin purse location unchanged) {Scott location: sunroom; coin purse location: sunroom's mantel; Scott sees coin purse: True; Scott's belief on coin purse: sunroom's mantel}\n- Step 3: (Scott location changed; coin purse location unchanged) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\n- Step 4: (Scott location changed; coin purse location unchanged) {Scott location: sunroom; coin purse location: sunroom's mantel; Scott sees coin purse: True; Scott's belief on coin purse: sunroom's mantel}\n- Step 5: (Scott location unchanged; coin purse location unchanged) {Scott location: sunroom; coin purse location: sunroom's mantel; Scott sees coin purse: True; Scott's belief on coin purse: sunroom's mantel}\n- Step 6: (Scott location changed; coin purse location unchanged) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\n- Step 7: (Scott location unchanged; coin purse location changed) {Scott location: craft room; coin purse location: sunroom's coffee table; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\n- Step 8: (Scott location unchanged; coin purse location unchanged) {Scott location: craft room; coin purse location: sunroom's coffee table; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\n- Step 9: (Scott location unchanged; coin purse location changed) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\n- Step 10: (Scott location unchanged; coin purse location unchanged) {Scott location: craft room; coin purse location: sunroom's mantel; Scott sees coin purse: False; Scott's belief on coin purse: sunroom's mantel}\nFinal Answer: the sunroom's mantel","item":{"question":"Where does Scott believe the coin purse is?","story_components":"Agents: [Donald, Scott].\nObjects: [the coin purse, the ticket].\nRooms: [the sunroom, the craft room].\nContainers: [the sunroom's mantel, the sunroom's coffee table, the craft room's mantel, the craft room's coffee table]"}}
+{"instance_id":"tom_tracking_0.5k_179","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Angela is in the pantry; Carol is in the game room; the matchbox is on the pantry's credenza; the pen is on the game room's credenza.\nStep 1: Angela leaves the room he was in.\nStep 2: Carol moves the pen to the game room's mantel.\nStep 3: Angela enters the pantry.\nStep 4: Carol leaves the room he was in.\nStep 5: Angela leaves the room he was in.\nStep 6: Carol enters the pantry.\nStep 7: Angela enters the pantry.\nStep 8: Carol moves to the game room.\nStep 9: Angela moves to the game room.\nStep 10: Carol moves to the pantry.\n\n[QUESTION]\nWhere does Angela believe the matchbox is?\n\n[YOUR ANSWER]","reference_output":"Angela's belief on the matchbox:\n- Step 0: (initial state) {Angela location: pantry; matchbox location: pantry's credenza; Angela sees matchbox: True; Angela's belief on matchbox: pantry's credenza}\n- Step 1: (Angela location changed; matchbox location unchanged) {Angela location: None; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\n- Step 2: (Angela location unchanged; matchbox location unchanged) {Angela location: None; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\n- Step 3: (Angela location changed; matchbox location unchanged) {Angela location: pantry; matchbox location: pantry's credenza; Angela sees matchbox: True; Angela's belief on matchbox: pantry's credenza}\n- Step 4: (Angela location unchanged; matchbox location unchanged) {Angela location: pantry; matchbox location: pantry's credenza; Angela sees matchbox: True; Angela's belief on matchbox: pantry's credenza}\n- Step 5: (Angela location changed; matchbox location unchanged) {Angela location: None; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\n- Step 6: (Angela location unchanged; matchbox location unchanged) {Angela location: None; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\n- Step 7: (Angela location changed; matchbox location unchanged) {Angela location: pantry; matchbox location: pantry's credenza; Angela sees matchbox: True; Angela's belief on matchbox: pantry's credenza}\n- Step 8: (Angela location unchanged; matchbox location unchanged) {Angela location: pantry; matchbox location: pantry's credenza; Angela sees matchbox: True; Angela's belief on matchbox: pantry's credenza}\n- Step 9: (Angela location changed; matchbox location unchanged) {Angela location: game room; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\n- Step 10: (Angela location unchanged; matchbox location unchanged) {Angela location: game room; matchbox location: pantry's credenza; Angela sees matchbox: False; Angela's belief on matchbox: pantry's credenza}\nFinal Answer: the pantry's credenza","item":{"question":"Where does Angela believe the matchbox is?","story_components":"Agents: [Angela, Carol].\nObjects: [the matchbox, the pen].\nRooms: [the pantry, the game room].\nContainers: [the pantry's credenza, the pantry's mantel, the game room's credenza, the game room's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_180","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stephanie is in the office; Dennis is in the bathroom; the matchbox is on the bathroom's table; the lipstick is on the office's table.\nStep 1: Stephanie leaves the room he was in.\nStep 2: Dennis moves to the office, and moves the matchbox to the office's table.\nStep 3: Stephanie enters the office.\nStep 4: Dennis moves to the bathroom, and moves the lipstick to the bathroom's table.\nStep 5: Stephanie moves to the bathroom.\nStep 6: Dennis leaves the room he was in.\nStep 7: Stephanie moves the lipstick to the bathroom's bench.\nStep 8: Dennis enters the bathroom.\nStep 9: Stephanie moves to the office.\nStep 10: Dennis leaves the room he was in.\n\n[QUESTION]\nWhere does Stephanie believe the lipstick is?\n\n[YOUR ANSWER]","reference_output":"Stephanie's belief on the lipstick:\n- Step 0: (initial state) {Stephanie location: office; lipstick location: office's table; Stephanie sees lipstick: True; Stephanie's belief on lipstick: office's table}\n- Step 1: (Stephanie location changed; lipstick location unchanged) {Stephanie location: None; lipstick location: office's table; Stephanie sees lipstick: False; Stephanie's belief on lipstick: office's table}\n- Step 2: (Stephanie location unchanged; lipstick location unchanged) {Stephanie location: None; lipstick location: office's table; Stephanie sees lipstick: False; Stephanie's belief on lipstick: office's table}\n- Step 3: (Stephanie location changed; lipstick location unchanged) {Stephanie location: office; lipstick location: office's table; Stephanie sees lipstick: True; Stephanie's belief on lipstick: office's table}\n- Step 4: (Stephanie location unchanged; lipstick location changed) {Stephanie location: office; lipstick location: bathroom's table; Stephanie sees lipstick: False; Stephanie's belief on lipstick: office's table}\n- Step 5: (Stephanie location changed; lipstick location unchanged) {Stephanie location: bathroom; lipstick location: bathroom's table; Stephanie sees lipstick: True; Stephanie's belief on lipstick: bathroom's table}\n- Step 6: (Stephanie location unchanged; lipstick location unchanged) {Stephanie location: bathroom; lipstick location: bathroom's table; Stephanie sees lipstick: True; Stephanie's belief on lipstick: bathroom's table}\n- Step 7: (Stephanie location unchanged; lipstick location changed) {Stephanie location: bathroom; lipstick location: bathroom's bench; Stephanie sees lipstick: True; Stephanie's belief on lipstick: bathroom's bench}\n- Step 8: (Stephanie location unchanged; lipstick location unchanged) {Stephanie location: bathroom; lipstick location: bathroom's bench; Stephanie sees lipstick: True; Stephanie's belief on lipstick: bathroom's bench}\n- Step 9: (Stephanie location changed; lipstick location unchanged) {Stephanie location: office; lipstick location: bathroom's bench; Stephanie sees lipstick: False; Stephanie's belief on lipstick: bathroom's bench}\n- Step 10: (Stephanie location unchanged; lipstick location unchanged) {Stephanie location: office; lipstick location: bathroom's bench; Stephanie sees lipstick: False; Stephanie's belief on lipstick: bathroom's bench}\nFinal Answer: the bathroom's bench","item":{"question":"Where does Stephanie believe the lipstick is?","story_components":"Agents: [Stephanie, Dennis].\nObjects: [the matchbox, the lipstick].\nRooms: [the bathroom, the office].\nContainers: [the bathroom's bench, the bathroom's table, the office's bench, the office's table]"}}
+{"instance_id":"tom_tracking_0.5k_181","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Dylan is in the gym; Michael is in the living room; the bookmark is on the gym's bistro table; the pencil sharpener is on the gym's credenza.\nStep 1: Dylan moves to the living room, and moves the bookmark to the living room's bistro table.\nStep 2: Michael moves the bookmark to the living room's credenza.\nStep 3: Dylan leaves the room he was in.\nStep 4: Michael moves the bookmark to the living room's bistro table.\nStep 5: Dylan enters the gym.\nStep 6: Michael leaves the room he was in.\nStep 7: Dylan moves to the living room, and moves the pencil sharpener to the living room's credenza.\nStep 8: Michael enters the gym.\nStep 9: Dylan moves to the gym, and moves the pencil sharpener to the gym's bistro table.\nStep 10: Michael moves to the living room, and moves the pencil sharpener to the living room's credenza.\n\n[QUESTION]\nWhere does Dylan believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Dylan's belief on the bookmark:\n- Step 0: (initial state) {Dylan location: gym; bookmark location: gym's bistro table; Dylan sees bookmark: True; Dylan's belief on bookmark: gym's bistro table}\n- Step 1: (Dylan location changed; bookmark location changed) {Dylan location: living room; bookmark location: living room's bistro table; Dylan sees bookmark: True; Dylan's belief on bookmark: living room's bistro table}\n- Step 2: (Dylan location unchanged; bookmark location changed) {Dylan location: living room; bookmark location: living room's credenza; Dylan sees bookmark: True; Dylan's belief on bookmark: living room's credenza}\n- Step 3: (Dylan location changed; bookmark location unchanged) {Dylan location: None; bookmark location: living room's credenza; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's credenza}\n- Step 4: (Dylan location unchanged; bookmark location changed) {Dylan location: None; bookmark location: living room's bistro table; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's credenza}\n- Step 5: (Dylan location changed; bookmark location unchanged) {Dylan location: gym; bookmark location: living room's bistro table; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's credenza}\n- Step 6: (Dylan location unchanged; bookmark location unchanged) {Dylan location: gym; bookmark location: living room's bistro table; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's credenza}\n- Step 7: (Dylan location changed; bookmark location unchanged) {Dylan location: living room; bookmark location: living room's bistro table; Dylan sees bookmark: True; Dylan's belief on bookmark: living room's bistro table}\n- Step 8: (Dylan location unchanged; bookmark location unchanged) {Dylan location: living room; bookmark location: living room's bistro table; Dylan sees bookmark: True; Dylan's belief on bookmark: living room's bistro table}\n- Step 9: (Dylan location changed; bookmark location unchanged) {Dylan location: gym; bookmark location: living room's bistro table; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's bistro table}\n- Step 10: (Dylan location unchanged; bookmark location unchanged) {Dylan location: gym; bookmark location: living room's bistro table; Dylan sees bookmark: False; Dylan's belief on bookmark: living room's bistro table}\nFinal Answer: the living room's bistro table","item":{"question":"Where does Dylan believe the bookmark is?","story_components":"Agents: [Dylan, Michael].\nObjects: [the bookmark, the pencil sharpener].\nRooms: [the living room, the gym].\nContainers: [the living room's credenza, the living room's bistro table, the gym's credenza, the gym's bistro table]"}}
+{"instance_id":"tom_tracking_0.5k_182","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Arthur is in the playroom; Dustin is in the bedroom; the key is on the playroom's display case; the rubber band is on the bedroom's display case.\nStep 1: Arthur moves to the bedroom, and moves the key to the bedroom's console table.\nStep 2: Dustin leaves the room he was in.\nStep 3: Arthur leaves the room he was in.\nStep 4: Dustin enters the bedroom.\nStep 5: Arthur enters the playroom.\nStep 6: Dustin leaves the room he was in.\nStep 7: Arthur moves to the bedroom.\nStep 8: Dustin enters the bedroom.\nStep 9: Arthur moves to the playroom, and moves the rubber band to the playroom's console table.\nStep 10: Dustin moves to the playroom.\n\n[QUESTION]\nWhere does Arthur believe the key is?\n\n[YOUR ANSWER]","reference_output":"Arthur's belief on the key:\n- Step 0: (initial state) {Arthur location: playroom; key location: playroom's display case; Arthur sees key: True; Arthur's belief on key: playroom's display case}\n- Step 1: (Arthur location changed; key location changed) {Arthur location: bedroom; key location: bedroom's console table; Arthur sees key: True; Arthur's belief on key: bedroom's console table}\n- Step 2: (Arthur location unchanged; key location unchanged) {Arthur location: bedroom; key location: bedroom's console table; Arthur sees key: True; Arthur's belief on key: bedroom's console table}\n- Step 3: (Arthur location changed; key location unchanged) {Arthur location: None; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\n- Step 4: (Arthur location unchanged; key location unchanged) {Arthur location: None; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\n- Step 5: (Arthur location changed; key location unchanged) {Arthur location: playroom; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\n- Step 6: (Arthur location unchanged; key location unchanged) {Arthur location: playroom; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\n- Step 7: (Arthur location changed; key location unchanged) {Arthur location: bedroom; key location: bedroom's console table; Arthur sees key: True; Arthur's belief on key: bedroom's console table}\n- Step 8: (Arthur location unchanged; key location unchanged) {Arthur location: bedroom; key location: bedroom's console table; Arthur sees key: True; Arthur's belief on key: bedroom's console table}\n- Step 9: (Arthur location changed; key location unchanged) {Arthur location: playroom; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\n- Step 10: (Arthur location unchanged; key location unchanged) {Arthur location: playroom; key location: bedroom's console table; Arthur sees key: False; Arthur's belief on key: bedroom's console table}\nFinal Answer: the bedroom's console table","item":{"question":"Where does Arthur believe the key is?","story_components":"Agents: [Arthur, Dustin].\nObjects: [the key, the rubber band].\nRooms: [the playroom, the bedroom].\nContainers: [the playroom's display case, the playroom's console table, the bedroom's display case, the bedroom's console table]"}}
+{"instance_id":"tom_tracking_0.5k_183","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stacey is in the office; Shelly is in the dining room; the feather is on the office's nightstand; the notebook is on the dining room's nightstand.\nStep 1: Stacey leaves the room he was in.\nStep 2: Shelly moves the notebook to the dining room's pallet.\nStep 3: Stacey enters the dining room.\nStep 4: Shelly moves the notebook to the dining room's nightstand.\nStep 5: Stacey moves the notebook to the dining room's pallet.\nStep 6: Shelly moves to the office.\nStep 7: Stacey moves the notebook to the dining room's nightstand.\nStep 8: Shelly moves to the dining room, and moves the feather to the dining room's nightstand.\nStep 9: Stacey moves to the office.\nStep 10: Shelly moves to the office.\n\n[QUESTION]\nWhere does Stacey believe the notebook is?\n\n[YOUR ANSWER]","reference_output":"Stacey's belief on the notebook:\n- Step 0: (initial state) {Stacey location: office; notebook location: dining room's nightstand; Stacey sees notebook: False; Stacey's belief on notebook: None}\n- Step 1: (Stacey location changed; notebook location unchanged) {Stacey location: None; notebook location: dining room's nightstand; Stacey sees notebook: False; Stacey's belief on notebook: None}\n- Step 2: (Stacey location unchanged; notebook location changed) {Stacey location: None; notebook location: dining room's pallet; Stacey sees notebook: False; Stacey's belief on notebook: None}\n- Step 3: (Stacey location changed; notebook location unchanged) {Stacey location: dining room; notebook location: dining room's pallet; Stacey sees notebook: True; Stacey's belief on notebook: dining room's pallet}\n- Step 4: (Stacey location unchanged; notebook location changed) {Stacey location: dining room; notebook location: dining room's nightstand; Stacey sees notebook: True; Stacey's belief on notebook: dining room's nightstand}\n- Step 5: (Stacey location unchanged; notebook location changed) {Stacey location: dining room; notebook location: dining room's pallet; Stacey sees notebook: True; Stacey's belief on notebook: dining room's pallet}\n- Step 6: (Stacey location unchanged; notebook location unchanged) {Stacey location: dining room; notebook location: dining room's pallet; Stacey sees notebook: True; Stacey's belief on notebook: dining room's pallet}\n- Step 7: (Stacey location unchanged; notebook location changed) {Stacey location: dining room; notebook location: dining room's nightstand; Stacey sees notebook: True; Stacey's belief on notebook: dining room's nightstand}\n- Step 8: (Stacey location unchanged; notebook location unchanged) {Stacey location: dining room; notebook location: dining room's nightstand; Stacey sees notebook: True; Stacey's belief on notebook: dining room's nightstand}\n- Step 9: (Stacey location changed; notebook location unchanged) {Stacey location: office; notebook location: dining room's nightstand; Stacey sees notebook: False; Stacey's belief on notebook: dining room's nightstand}\n- Step 10: (Stacey location unchanged; notebook location unchanged) {Stacey location: office; notebook location: dining room's nightstand; Stacey sees notebook: False; Stacey's belief on notebook: dining room's nightstand}\nFinal Answer: the dining room's nightstand","item":{"question":"Where does Stacey believe the notebook is?","story_components":"Agents: [Stacey, Shelly].\nObjects: [the feather, the notebook].\nRooms: [the office, the dining room].\nContainers: [the office's nightstand, the office's pallet, the dining room's nightstand, the dining room's pallet]"}}
+{"instance_id":"tom_tracking_0.5k_184","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christine is in the study; Savannah is in the study; the tweezers is on the study's counter; the eraser is on the study's tv stand.\nStep 1: Christine moves to the playroom, and moves the tweezers to the playroom's counter.\nStep 2: Savannah moves to the playroom, and moves the eraser to the playroom's tv stand.\nStep 3: Christine moves the tweezers to the playroom's tv stand.\nStep 4: Savannah moves to the study.\nStep 5: Christine moves to the study, and moves the eraser to the study's tv stand.\nStep 6: Savannah moves to the playroom.\nStep 7: Christine moves to the playroom.\nStep 8: Savannah leaves the room he was in.\nStep 9: Christine leaves the room he was in.\nStep 10: Savannah enters the study.\n\n[QUESTION]\nWhere does Christine believe the eraser is?\n\n[YOUR ANSWER]","reference_output":"Christine's belief on the eraser:\n- Step 0: (initial state) {Christine location: study; eraser location: study's tv stand; Christine sees eraser: True; Christine's belief on eraser: study's tv stand}\n- Step 1: (Christine location changed; eraser location unchanged) {Christine location: playroom; eraser location: study's tv stand; Christine sees eraser: False; Christine's belief on eraser: study's tv stand}\n- Step 2: (Christine location unchanged; eraser location changed) {Christine location: playroom; eraser location: playroom's tv stand; Christine sees eraser: True; Christine's belief on eraser: playroom's tv stand}\n- Step 3: (Christine location unchanged; eraser location unchanged) {Christine location: playroom; eraser location: playroom's tv stand; Christine sees eraser: True; Christine's belief on eraser: playroom's tv stand}\n- Step 4: (Christine location unchanged; eraser location unchanged) {Christine location: playroom; eraser location: playroom's tv stand; Christine sees eraser: True; Christine's belief on eraser: playroom's tv stand}\n- Step 5: (Christine location changed; eraser location changed) {Christine location: study; eraser location: study's tv stand; Christine sees eraser: True; Christine's belief on eraser: study's tv stand}\n- Step 6: (Christine location unchanged; eraser location unchanged) {Christine location: study; eraser location: study's tv stand; Christine sees eraser: True; Christine's belief on eraser: study's tv stand}\n- Step 7: (Christine location changed; eraser location unchanged) {Christine location: playroom; eraser location: study's tv stand; Christine sees eraser: False; Christine's belief on eraser: study's tv stand}\n- Step 8: (Christine location unchanged; eraser location unchanged) {Christine location: playroom; eraser location: study's tv stand; Christine sees eraser: False; Christine's belief on eraser: study's tv stand}\n- Step 9: (Christine location changed; eraser location unchanged) {Christine location: None; eraser location: study's tv stand; Christine sees eraser: False; Christine's belief on eraser: study's tv stand}\n- Step 10: (Christine location unchanged; eraser location unchanged) {Christine location: None; eraser location: study's tv stand; Christine sees eraser: False; Christine's belief on eraser: study's tv stand}\nFinal Answer: the study's tv stand","item":{"question":"Where does Christine believe the eraser is?","story_components":"Agents: [Christine, Savannah].\nObjects: [the tweezers, the eraser].\nRooms: [the study, the playroom].\nContainers: [the study's counter, the study's tv stand, the playroom's counter, the playroom's tv stand]"}}
+{"instance_id":"tom_tracking_0.5k_185","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kenneth is in the pantry; Austin is in the pantry; the medal is on the game room's console table; the necklace is on the game room's table.\nStep 1: Kenneth moves to the game room.\nStep 2: Austin moves to the game room.\nStep 3: Kenneth moves to the pantry, and moves the medal to the pantry's table.\nStep 4: Austin moves to the pantry, and moves the necklace to the pantry's table.\nStep 5: Kenneth leaves the room he was in.\nStep 6: Austin moves to the game room, and moves the necklace to the game room's table.\nStep 7: Kenneth enters the pantry.\nStep 8: Austin moves the necklace to the game room's console table.\nStep 9: Kenneth leaves the room he was in.\nStep 10: Austin leaves the room he was in.\n\n[QUESTION]\nWhere does Kenneth believe the medal is?\n\n[YOUR ANSWER]","reference_output":"Kenneth's belief on the medal:\n- Step 0: (initial state) {Kenneth location: pantry; medal location: game room's console table; Kenneth sees medal: False; Kenneth's belief on medal: None}\n- Step 1: (Kenneth location changed; medal location unchanged) {Kenneth location: game room; medal location: game room's console table; Kenneth sees medal: True; Kenneth's belief on medal: game room's console table}\n- Step 2: (Kenneth location unchanged; medal location unchanged) {Kenneth location: game room; medal location: game room's console table; Kenneth sees medal: True; Kenneth's belief on medal: game room's console table}\n- Step 3: (Kenneth location changed; medal location changed) {Kenneth location: pantry; medal location: pantry's table; Kenneth sees medal: True; Kenneth's belief on medal: pantry's table}\n- Step 4: (Kenneth location unchanged; medal location unchanged) {Kenneth location: pantry; medal location: pantry's table; Kenneth sees medal: True; Kenneth's belief on medal: pantry's table}\n- Step 5: (Kenneth location changed; medal location unchanged) {Kenneth location: None; medal location: pantry's table; Kenneth sees medal: False; Kenneth's belief on medal: pantry's table}\n- Step 6: (Kenneth location unchanged; medal location unchanged) {Kenneth location: None; medal location: pantry's table; Kenneth sees medal: False; Kenneth's belief on medal: pantry's table}\n- Step 7: (Kenneth location changed; medal location unchanged) {Kenneth location: pantry; medal location: pantry's table; Kenneth sees medal: True; Kenneth's belief on medal: pantry's table}\n- Step 8: (Kenneth location unchanged; medal location unchanged) {Kenneth location: pantry; medal location: pantry's table; Kenneth sees medal: True; Kenneth's belief on medal: pantry's table}\n- Step 9: (Kenneth location changed; medal location unchanged) {Kenneth location: None; medal location: pantry's table; Kenneth sees medal: False; Kenneth's belief on medal: pantry's table}\n- Step 10: (Kenneth location unchanged; medal location unchanged) {Kenneth location: None; medal location: pantry's table; Kenneth sees medal: False; Kenneth's belief on medal: pantry's table}\nFinal Answer: the pantry's table","item":{"question":"Where does Kenneth believe the medal is?","story_components":"Agents: [Kenneth, Austin].\nObjects: [the medal, the necklace].\nRooms: [the pantry, the game room].\nContainers: [the pantry's console table, the pantry's table, the game room's console table, the game room's table]"}}
+{"instance_id":"tom_tracking_0.5k_186","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Bobby is in the balcony; Reginald is in the lounge; the cufflink is on the balcony's nightstand; the button is on the lounge's ledge.\nStep 1: Bobby moves the cufflink to the balcony's ledge.\nStep 2: Reginald moves to the balcony.\nStep 3: Bobby leaves the room he was in.\nStep 4: Reginald moves to the lounge, and moves the cufflink to the lounge's nightstand.\nStep 5: Bobby enters the balcony.\nStep 6: Reginald moves the button to the lounge's nightstand.\nStep 7: Bobby moves to the lounge.\nStep 8: Reginald moves to the balcony, and moves the button to the balcony's nightstand.\nStep 9: Bobby leaves the room he was in.\nStep 10: Reginald moves to the lounge.\n\n[QUESTION]\nWhere does Reginald believe the cufflink is?\n\n[YOUR ANSWER]","reference_output":"Reginald's belief on the cufflink:\n- Step 0: (initial state) {Reginald location: lounge; cufflink location: balcony's nightstand; Reginald sees cufflink: False; Reginald's belief on cufflink: None}\n- Step 1: (Reginald location unchanged; cufflink location changed) {Reginald location: lounge; cufflink location: balcony's ledge; Reginald sees cufflink: False; Reginald's belief on cufflink: None}\n- Step 2: (Reginald location changed; cufflink location unchanged) {Reginald location: balcony; cufflink location: balcony's ledge; Reginald sees cufflink: True; Reginald's belief on cufflink: balcony's ledge}\n- Step 3: (Reginald location unchanged; cufflink location unchanged) {Reginald location: balcony; cufflink location: balcony's ledge; Reginald sees cufflink: True; Reginald's belief on cufflink: balcony's ledge}\n- Step 4: (Reginald location changed; cufflink location changed) {Reginald location: lounge; cufflink location: lounge's nightstand; Reginald sees cufflink: True; Reginald's belief on cufflink: lounge's nightstand}\n- Step 5: (Reginald location unchanged; cufflink location unchanged) {Reginald location: lounge; cufflink location: lounge's nightstand; Reginald sees cufflink: True; Reginald's belief on cufflink: lounge's nightstand}\n- Step 6: (Reginald location unchanged; cufflink location unchanged) {Reginald location: lounge; cufflink location: lounge's nightstand; Reginald sees cufflink: True; Reginald's belief on cufflink: lounge's nightstand}\n- Step 7: (Reginald location unchanged; cufflink location unchanged) {Reginald location: lounge; cufflink location: lounge's nightstand; Reginald sees cufflink: True; Reginald's belief on cufflink: lounge's nightstand}\n- Step 8: (Reginald location changed; cufflink location unchanged) {Reginald location: balcony; cufflink location: lounge's nightstand; Reginald sees cufflink: False; Reginald's belief on cufflink: lounge's nightstand}\n- Step 9: (Reginald location unchanged; cufflink location unchanged) {Reginald location: balcony; cufflink location: lounge's nightstand; Reginald sees cufflink: False; Reginald's belief on cufflink: lounge's nightstand}\n- Step 10: (Reginald location changed; cufflink location unchanged) {Reginald location: lounge; cufflink location: lounge's nightstand; Reginald sees cufflink: True; Reginald's belief on cufflink: lounge's nightstand}\nFinal Answer: the lounge's nightstand","item":{"question":"Where does Reginald believe the cufflink is?","story_components":"Agents: [Bobby, Reginald].\nObjects: [the cufflink, the button].\nRooms: [the lounge, the balcony].\nContainers: [the lounge's ledge, the lounge's nightstand, the balcony's ledge, the balcony's nightstand]"}}
+{"instance_id":"tom_tracking_0.5k_187","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Stacey is in the library; Robert is in the library; the medal is on the closet's workbench; the pencil case is on the library's workbench.\nStep 1: Stacey moves the pencil case to the library's cabinet top.\nStep 2: Robert moves to the closet, and moves the pencil case to the closet's cabinet top.\nStep 3: Robert moves to the library, and moves the medal to the library's workbench.\nStep 4: Robert moves to the closet, and moves the medal to the closet's workbench.\nStep 5: Robert moves to the library, and moves the pencil case to the library's workbench.\nStep 6: Robert moves to the closet.\nStep 7: Stacey moves the pencil case to the library's cabinet top.\nStep 8: Robert moves to the library.\nStep 9: Stacey leaves the room he was in.\nStep 10: Robert moves the pencil case to the library's workbench.\n\n[QUESTION]\nWhere does Robert believe the pencil case is?\n\n[YOUR ANSWER]","reference_output":"Robert's belief on the pencil case:\n- Step 0: (initial state) {Robert location: library; pencil case location: library's workbench; Robert sees pencil case: True; Robert's belief on pencil case: library's workbench}\n- Step 1: (Robert location unchanged; pencil case location changed) {Robert location: library; pencil case location: library's cabinet top; Robert sees pencil case: True; Robert's belief on pencil case: library's cabinet top}\n- Step 2: (Robert location changed; pencil case location changed) {Robert location: closet; pencil case location: closet's cabinet top; Robert sees pencil case: True; Robert's belief on pencil case: closet's cabinet top}\n- Step 3: (Robert location changed; pencil case location unchanged) {Robert location: library; pencil case location: closet's cabinet top; Robert sees pencil case: False; Robert's belief on pencil case: closet's cabinet top}\n- Step 4: (Robert location changed; pencil case location unchanged) {Robert location: closet; pencil case location: closet's cabinet top; Robert sees pencil case: True; Robert's belief on pencil case: closet's cabinet top}\n- Step 5: (Robert location changed; pencil case location changed) {Robert location: library; pencil case location: library's workbench; Robert sees pencil case: True; Robert's belief on pencil case: library's workbench}\n- Step 6: (Robert location changed; pencil case location unchanged) {Robert location: closet; pencil case location: library's workbench; Robert sees pencil case: False; Robert's belief on pencil case: library's workbench}\n- Step 7: (Robert location unchanged; pencil case location changed) {Robert location: closet; pencil case location: library's cabinet top; Robert sees pencil case: False; Robert's belief on pencil case: library's workbench}\n- Step 8: (Robert location changed; pencil case location unchanged) {Robert location: library; pencil case location: library's cabinet top; Robert sees pencil case: True; Robert's belief on pencil case: library's cabinet top}\n- Step 9: (Robert location unchanged; pencil case location unchanged) {Robert location: library; pencil case location: library's cabinet top; Robert sees pencil case: True; Robert's belief on pencil case: library's cabinet top}\n- Step 10: (Robert location unchanged; pencil case location changed) {Robert location: library; pencil case location: library's workbench; Robert sees pencil case: True; Robert's belief on pencil case: library's workbench}\nFinal Answer: the library's workbench","item":{"question":"Where does Robert believe the pencil case is?","story_components":"Agents: [Stacey, Robert].\nObjects: [the medal, the pencil case].\nRooms: [the library, the closet].\nContainers: [the library's cabinet top, the library's workbench, the closet's cabinet top, the closet's workbench]"}}
+{"instance_id":"tom_tracking_0.5k_188","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Jonathan is in the mudroom; Ebony is in the mudroom; the bobby pin is on the lounge's console table; the sticky tape is on the mudroom's console table.\nStep 1: Jonathan moves the sticky tape to the mudroom's ledge.\nStep 2: Ebony moves to the lounge.\nStep 3: Jonathan moves the sticky tape to the mudroom's console table.\nStep 4: Ebony moves the bobby pin to the lounge's ledge.\nStep 5: Jonathan moves the sticky tape to the mudroom's ledge.\nStep 6: Ebony moves the bobby pin to the lounge's console table.\nStep 7: Jonathan leaves the room he was in.\nStep 8: Ebony moves to the mudroom, and moves the bobby pin to the mudroom's ledge.\nStep 9: Jonathan enters the lounge.\nStep 10: Ebony moves to the lounge.\n\n[QUESTION]\nWhere does Ebony believe the sticky tape is?\n\n[YOUR ANSWER]","reference_output":"Ebony's belief on the sticky tape:\n- Step 0: (initial state) {Ebony location: mudroom; sticky tape location: mudroom's console table; Ebony sees sticky tape: True; Ebony's belief on sticky tape: mudroom's console table}\n- Step 1: (Ebony location unchanged; sticky tape location changed) {Ebony location: mudroom; sticky tape location: mudroom's ledge; Ebony sees sticky tape: True; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 2: (Ebony location changed; sticky tape location unchanged) {Ebony location: lounge; sticky tape location: mudroom's ledge; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 3: (Ebony location unchanged; sticky tape location changed) {Ebony location: lounge; sticky tape location: mudroom's console table; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 4: (Ebony location unchanged; sticky tape location unchanged) {Ebony location: lounge; sticky tape location: mudroom's console table; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 5: (Ebony location unchanged; sticky tape location changed) {Ebony location: lounge; sticky tape location: mudroom's ledge; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 6: (Ebony location unchanged; sticky tape location unchanged) {Ebony location: lounge; sticky tape location: mudroom's ledge; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 7: (Ebony location unchanged; sticky tape location unchanged) {Ebony location: lounge; sticky tape location: mudroom's ledge; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 8: (Ebony location changed; sticky tape location unchanged) {Ebony location: mudroom; sticky tape location: mudroom's ledge; Ebony sees sticky tape: True; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 9: (Ebony location unchanged; sticky tape location unchanged) {Ebony location: mudroom; sticky tape location: mudroom's ledge; Ebony sees sticky tape: True; Ebony's belief on sticky tape: mudroom's ledge}\n- Step 10: (Ebony location changed; sticky tape location unchanged) {Ebony location: lounge; sticky tape location: mudroom's ledge; Ebony sees sticky tape: False; Ebony's belief on sticky tape: mudroom's ledge}\nFinal Answer: the mudroom's ledge","item":{"question":"Where does Ebony believe the sticky tape is?","story_components":"Agents: [Jonathan, Ebony].\nObjects: [the bobby pin, the sticky tape].\nRooms: [the lounge, the mudroom].\nContainers: [the lounge's console table, the lounge's ledge, the mudroom's console table, the mudroom's ledge]"}}
+{"instance_id":"tom_tracking_0.5k_189","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Wanda is in the bathroom; Erin is in the bathroom; the nail clipper is on the library's bar; the matchbox is on the library's tray.\nStep 1: Wanda moves to the library.\nStep 2: Erin moves to the library.\nStep 3: Wanda leaves the room he was in.\nStep 4: Erin leaves the room he was in.\nStep 5: Wanda enters the bathroom.\nStep 6: Erin enters the library.\nStep 7: Erin moves to the bathroom.\nStep 8: Erin moves to the library.\nStep 9: Erin moves the matchbox to the library's bar.\nStep 10: Erin moves to the bathroom.\n\n[QUESTION]\nWhere does Wanda believe the nail clipper is?\n\n[YOUR ANSWER]","reference_output":"Wanda's belief on the nail clipper:\n- Step 0: (initial state) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: None}\n- Step 1: (Wanda location changed; nail clipper location unchanged) {Wanda location: library; nail clipper location: library's bar; Wanda sees nail clipper: True; Wanda's belief on nail clipper: library's bar}\n- Step 2: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: library; nail clipper location: library's bar; Wanda sees nail clipper: True; Wanda's belief on nail clipper: library's bar}\n- Step 3: (Wanda location changed; nail clipper location unchanged) {Wanda location: None; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 4: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: None; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 5: (Wanda location changed; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 6: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 7: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 8: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 9: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\n- Step 10: (Wanda location unchanged; nail clipper location unchanged) {Wanda location: bathroom; nail clipper location: library's bar; Wanda sees nail clipper: False; Wanda's belief on nail clipper: library's bar}\nFinal Answer: the library's bar","item":{"question":"Where does Wanda believe the nail clipper is?","story_components":"Agents: [Wanda, Erin].\nObjects: [the nail clipper, the matchbox].\nRooms: [the bathroom, the library].\nContainers: [the bathroom's tray, the bathroom's bar, the library's tray, the library's bar]"}}
+{"instance_id":"tom_tracking_0.5k_190","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Eric is in the pantry; Leon is in the living room; the USB cable is on the living room's mantel; the key is on the living room's mantel.\nStep 1: Leon moves to the pantry, and moves the key to the pantry's side table.\nStep 2: Leon moves the key to the pantry's mantel.\nStep 3: Eric moves the key to the pantry's side table.\nStep 4: Leon moves the key to the pantry's mantel.\nStep 5: Eric moves to the living room, and moves the key to the living room's side table.\nStep 6: Leon moves to the living room.\nStep 7: Eric moves to the pantry.\nStep 8: Leon leaves the room he was in.\nStep 9: Eric moves to the living room.\nStep 10: Leon enters the living room.\n\n[QUESTION]\nWhere does Leon believe the USB cable is?\n\n[YOUR ANSWER]","reference_output":"Leon's belief on the USB cable:\n- Step 0: (initial state) {Leon location: living room; USB cable location: living room's mantel; Leon sees USB cable: True; Leon's belief on USB cable: living room's mantel}\n- Step 1: (Leon location changed; USB cable location unchanged) {Leon location: pantry; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 2: (Leon location unchanged; USB cable location unchanged) {Leon location: pantry; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 3: (Leon location unchanged; USB cable location unchanged) {Leon location: pantry; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 4: (Leon location unchanged; USB cable location unchanged) {Leon location: pantry; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 5: (Leon location unchanged; USB cable location unchanged) {Leon location: pantry; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 6: (Leon location changed; USB cable location unchanged) {Leon location: living room; USB cable location: living room's mantel; Leon sees USB cable: True; Leon's belief on USB cable: living room's mantel}\n- Step 7: (Leon location unchanged; USB cable location unchanged) {Leon location: living room; USB cable location: living room's mantel; Leon sees USB cable: True; Leon's belief on USB cable: living room's mantel}\n- Step 8: (Leon location changed; USB cable location unchanged) {Leon location: None; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 9: (Leon location unchanged; USB cable location unchanged) {Leon location: None; USB cable location: living room's mantel; Leon sees USB cable: False; Leon's belief on USB cable: living room's mantel}\n- Step 10: (Leon location changed; USB cable location unchanged) {Leon location: living room; USB cable location: living room's mantel; Leon sees USB cable: True; Leon's belief on USB cable: living room's mantel}\nFinal Answer: the living room's mantel","item":{"question":"Where does Leon believe the USB cable is?","story_components":"Agents: [Eric, Leon].\nObjects: [the USB cable, the key].\nRooms: [the pantry, the living room].\nContainers: [the pantry's side table, the pantry's mantel, the living room's side table, the living room's mantel]"}}
+{"instance_id":"tom_tracking_0.5k_191","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: April is in the nursery; Stephanie is in the craft room; the medal is on the craft room's table; the spoon is on the craft room's table.\nStep 1: Stephanie moves to the nursery, and moves the spoon to the nursery's tray.\nStep 2: Stephanie moves to the craft room, and moves the spoon to the craft room's tray.\nStep 3: Stephanie moves to the nursery, and moves the medal to the nursery's tray.\nStep 4: Stephanie moves the medal to the nursery's table.\nStep 5: April moves to the craft room.\nStep 6: Stephanie moves to the craft room, and moves the medal to the craft room's tray.\nStep 7: April moves to the nursery, and moves the spoon to the nursery's table.\nStep 8: Stephanie moves to the nursery, and moves the medal to the nursery's tray.\nStep 9: April moves the spoon to the nursery's tray.\nStep 10: Stephanie moves to the craft room.\n\n[QUESTION]\nWhere does April believe the medal is?\n\n[YOUR ANSWER]","reference_output":"April's belief on the medal:\n- Step 0: (initial state) {April location: nursery; medal location: craft room's table; April sees medal: False; April's belief on medal: None}\n- Step 1: (April location unchanged; medal location unchanged) {April location: nursery; medal location: craft room's table; April sees medal: False; April's belief on medal: None}\n- Step 2: (April location unchanged; medal location unchanged) {April location: nursery; medal location: craft room's table; April sees medal: False; April's belief on medal: None}\n- Step 3: (April location unchanged; medal location changed) {April location: nursery; medal location: nursery's tray; April sees medal: True; April's belief on medal: nursery's tray}\n- Step 4: (April location unchanged; medal location changed) {April location: nursery; medal location: nursery's table; April sees medal: True; April's belief on medal: nursery's table}\n- Step 5: (April location changed; medal location unchanged) {April location: craft room; medal location: nursery's table; April sees medal: False; April's belief on medal: nursery's table}\n- Step 6: (April location unchanged; medal location changed) {April location: craft room; medal location: craft room's tray; April sees medal: True; April's belief on medal: craft room's tray}\n- Step 7: (April location changed; medal location unchanged) {April location: nursery; medal location: craft room's tray; April sees medal: False; April's belief on medal: craft room's tray}\n- Step 8: (April location unchanged; medal location changed) {April location: nursery; medal location: nursery's tray; April sees medal: True; April's belief on medal: nursery's tray}\n- Step 9: (April location unchanged; medal location unchanged) {April location: nursery; medal location: nursery's tray; April sees medal: True; April's belief on medal: nursery's tray}\n- Step 10: (April location unchanged; medal location unchanged) {April location: nursery; medal location: nursery's tray; April sees medal: True; April's belief on medal: nursery's tray}\nFinal Answer: the nursery's tray","item":{"question":"Where does April believe the medal is?","story_components":"Agents: [April, Stephanie].\nObjects: [the medal, the spoon].\nRooms: [the craft room, the nursery].\nContainers: [the craft room's table, the craft room's tray, the nursery's table, the nursery's tray]"}}
+{"instance_id":"tom_tracking_0.5k_192","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Paul is in the foyer; Danny is in the foyer; the tweezers is on the lounge's mantel; the key fob is on the foyer's bistro table.\nStep 1: Paul moves the key fob to the foyer's mantel.\nStep 2: Danny moves the key fob to the foyer's bistro table.\nStep 3: Paul moves the key fob to the foyer's mantel.\nStep 4: Danny moves to the lounge, and moves the key fob to the lounge's mantel.\nStep 5: Paul moves to the lounge.\nStep 6: Danny moves the tweezers to the lounge's bistro table.\nStep 7: Paul moves the tweezers to the lounge's mantel.\nStep 8: Danny moves to the foyer.\nStep 9: Paul leaves the room he was in.\nStep 10: Danny moves to the lounge.\n\n[QUESTION]\nWhere does Danny believe the key fob is?\n\n[YOUR ANSWER]","reference_output":"Danny's belief on the key fob:\n- Step 0: (initial state) {Danny location: foyer; key fob location: foyer's bistro table; Danny sees key fob: True; Danny's belief on key fob: foyer's bistro table}\n- Step 1: (Danny location unchanged; key fob location changed) {Danny location: foyer; key fob location: foyer's mantel; Danny sees key fob: True; Danny's belief on key fob: foyer's mantel}\n- Step 2: (Danny location unchanged; key fob location changed) {Danny location: foyer; key fob location: foyer's bistro table; Danny sees key fob: True; Danny's belief on key fob: foyer's bistro table}\n- Step 3: (Danny location unchanged; key fob location changed) {Danny location: foyer; key fob location: foyer's mantel; Danny sees key fob: True; Danny's belief on key fob: foyer's mantel}\n- Step 4: (Danny location changed; key fob location changed) {Danny location: lounge; key fob location: lounge's mantel; Danny sees key fob: True; Danny's belief on key fob: lounge's mantel}\n- Step 5: (Danny location unchanged; key fob location unchanged) {Danny location: lounge; key fob location: lounge's mantel; Danny sees key fob: True; Danny's belief on key fob: lounge's mantel}\n- Step 6: (Danny location unchanged; key fob location unchanged) {Danny location: lounge; key fob location: lounge's mantel; Danny sees key fob: True; Danny's belief on key fob: lounge's mantel}\n- Step 7: (Danny location unchanged; key fob location unchanged) {Danny location: lounge; key fob location: lounge's mantel; Danny sees key fob: True; Danny's belief on key fob: lounge's mantel}\n- Step 8: (Danny location changed; key fob location unchanged) {Danny location: foyer; key fob location: lounge's mantel; Danny sees key fob: False; Danny's belief on key fob: lounge's mantel}\n- Step 9: (Danny location unchanged; key fob location unchanged) {Danny location: foyer; key fob location: lounge's mantel; Danny sees key fob: False; Danny's belief on key fob: lounge's mantel}\n- Step 10: (Danny location changed; key fob location unchanged) {Danny location: lounge; key fob location: lounge's mantel; Danny sees key fob: True; Danny's belief on key fob: lounge's mantel}\nFinal Answer: the lounge's mantel","item":{"question":"Where does Danny believe the key fob is?","story_components":"Agents: [Paul, Danny].\nObjects: [the tweezers, the key fob].\nRooms: [the lounge, the foyer].\nContainers: [the lounge's mantel, the lounge's bistro table, the foyer's mantel, the foyer's bistro table]"}}
+{"instance_id":"tom_tracking_0.5k_193","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Ryan is in the home theater; Stephanie is in the closet; the lighter is on the home theater's bistro table; the lip balm is on the home theater's display case.\nStep 1: Ryan moves to the closet.\nStep 2: Stephanie moves to the home theater.\nStep 3: Ryan moves to the home theater.\nStep 4: Stephanie moves to the closet, and moves the lighter to the closet's display case.\nStep 5: Ryan moves to the closet.\nStep 6: Stephanie leaves the room he was in.\nStep 7: Ryan leaves the room he was in.\nStep 8: Stephanie enters the home theater.\nStep 9: Ryan enters the home theater.\nStep 10: Stephanie leaves the room he was in.\n\n[QUESTION]\nWhere does Ryan believe the lighter is?\n\n[YOUR ANSWER]","reference_output":"Ryan's belief on the lighter:\n- Step 0: (initial state) {Ryan location: home theater; lighter location: home theater's bistro table; Ryan sees lighter: True; Ryan's belief on lighter: home theater's bistro table}\n- Step 1: (Ryan location changed; lighter location unchanged) {Ryan location: closet; lighter location: home theater's bistro table; Ryan sees lighter: False; Ryan's belief on lighter: home theater's bistro table}\n- Step 2: (Ryan location unchanged; lighter location unchanged) {Ryan location: closet; lighter location: home theater's bistro table; Ryan sees lighter: False; Ryan's belief on lighter: home theater's bistro table}\n- Step 3: (Ryan location changed; lighter location unchanged) {Ryan location: home theater; lighter location: home theater's bistro table; Ryan sees lighter: True; Ryan's belief on lighter: home theater's bistro table}\n- Step 4: (Ryan location unchanged; lighter location changed) {Ryan location: home theater; lighter location: closet's display case; Ryan sees lighter: False; Ryan's belief on lighter: home theater's bistro table}\n- Step 5: (Ryan location changed; lighter location unchanged) {Ryan location: closet; lighter location: closet's display case; Ryan sees lighter: True; Ryan's belief on lighter: closet's display case}\n- Step 6: (Ryan location unchanged; lighter location unchanged) {Ryan location: closet; lighter location: closet's display case; Ryan sees lighter: True; Ryan's belief on lighter: closet's display case}\n- Step 7: (Ryan location changed; lighter location unchanged) {Ryan location: None; lighter location: closet's display case; Ryan sees lighter: False; Ryan's belief on lighter: closet's display case}\n- Step 8: (Ryan location unchanged; lighter location unchanged) {Ryan location: None; lighter location: closet's display case; Ryan sees lighter: False; Ryan's belief on lighter: closet's display case}\n- Step 9: (Ryan location changed; lighter location unchanged) {Ryan location: home theater; lighter location: closet's display case; Ryan sees lighter: False; Ryan's belief on lighter: closet's display case}\n- Step 10: (Ryan location unchanged; lighter location unchanged) {Ryan location: home theater; lighter location: closet's display case; Ryan sees lighter: False; Ryan's belief on lighter: closet's display case}\nFinal Answer: the closet's display case","item":{"question":"Where does Ryan believe the lighter is?","story_components":"Agents: [Ryan, Stephanie].\nObjects: [the lighter, the lip balm].\nRooms: [the closet, the home theater].\nContainers: [the closet's bistro table, the closet's display case, the home theater's bistro table, the home theater's display case]"}}
+{"instance_id":"tom_tracking_0.5k_194","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Breanna is in the laundry room; Ebony is in the hallway; the fuse is on the laundry room's sideboard; the apple is on the laundry room's sideboard.\nStep 1: Breanna moves to the hallway.\nStep 2: Ebony moves to the laundry room.\nStep 3: Breanna moves to the laundry room.\nStep 4: Ebony moves the apple to the laundry room's pedestal.\nStep 5: Breanna moves to the hallway.\nStep 6: Ebony moves to the hallway, and moves the fuse to the hallway's sideboard.\nStep 7: Breanna moves the fuse to the hallway's pedestal.\nStep 8: Ebony moves the fuse to the hallway's sideboard.\nStep 9: Breanna leaves the room he was in.\nStep 10: Ebony moves to the laundry room, and moves the fuse to the laundry room's sideboard.\n\n[QUESTION]\nWhere does Breanna believe the apple is?\n\n[YOUR ANSWER]","reference_output":"Breanna's belief on the apple:\n- Step 0: (initial state) {Breanna location: laundry room; apple location: laundry room's sideboard; Breanna sees apple: True; Breanna's belief on apple: laundry room's sideboard}\n- Step 1: (Breanna location changed; apple location unchanged) {Breanna location: hallway; apple location: laundry room's sideboard; Breanna sees apple: False; Breanna's belief on apple: laundry room's sideboard}\n- Step 2: (Breanna location unchanged; apple location unchanged) {Breanna location: hallway; apple location: laundry room's sideboard; Breanna sees apple: False; Breanna's belief on apple: laundry room's sideboard}\n- Step 3: (Breanna location changed; apple location unchanged) {Breanna location: laundry room; apple location: laundry room's sideboard; Breanna sees apple: True; Breanna's belief on apple: laundry room's sideboard}\n- Step 4: (Breanna location unchanged; apple location changed) {Breanna location: laundry room; apple location: laundry room's pedestal; Breanna sees apple: True; Breanna's belief on apple: laundry room's pedestal}\n- Step 5: (Breanna location changed; apple location unchanged) {Breanna location: hallway; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\n- Step 6: (Breanna location unchanged; apple location unchanged) {Breanna location: hallway; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\n- Step 7: (Breanna location unchanged; apple location unchanged) {Breanna location: hallway; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\n- Step 8: (Breanna location unchanged; apple location unchanged) {Breanna location: hallway; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\n- Step 9: (Breanna location changed; apple location unchanged) {Breanna location: None; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\n- Step 10: (Breanna location unchanged; apple location unchanged) {Breanna location: None; apple location: laundry room's pedestal; Breanna sees apple: False; Breanna's belief on apple: laundry room's pedestal}\nFinal Answer: the laundry room's pedestal","item":{"question":"Where does Breanna believe the apple is?","story_components":"Agents: [Breanna, Ebony].\nObjects: [the fuse, the apple].\nRooms: [the hallway, the laundry room].\nContainers: [the hallway's sideboard, the hallway's pedestal, the laundry room's sideboard, the laundry room's pedestal]"}}
+{"instance_id":"tom_tracking_0.5k_195","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Christopher is in the balcony; Jennifer is in the balcony; the marble is on the library's buffet; the pencil case is on the balcony's stand.\nStep 1: Christopher leaves the room he was in.\nStep 2: Jennifer moves to the library, and moves the pencil case to the library's buffet.\nStep 3: Christopher enters the balcony.\nStep 4: Jennifer moves the marble to the library's stand.\nStep 5: Christopher moves to the library.\nStep 6: Jennifer leaves the room he was in.\nStep 7: Christopher moves to the balcony.\nStep 8: Jennifer enters the balcony.\nStep 9: Christopher moves to the library.\nStep 10: Jennifer moves to the library.\n\n[QUESTION]\nWhere does Christopher believe the marble is?\n\n[YOUR ANSWER]","reference_output":"Christopher's belief on the marble:\n- Step 0: (initial state) {Christopher location: balcony; marble location: library's buffet; Christopher sees marble: False; Christopher's belief on marble: None}\n- Step 1: (Christopher location changed; marble location unchanged) {Christopher location: None; marble location: library's buffet; Christopher sees marble: False; Christopher's belief on marble: None}\n- Step 2: (Christopher location unchanged; marble location unchanged) {Christopher location: None; marble location: library's buffet; Christopher sees marble: False; Christopher's belief on marble: None}\n- Step 3: (Christopher location changed; marble location unchanged) {Christopher location: balcony; marble location: library's buffet; Christopher sees marble: False; Christopher's belief on marble: None}\n- Step 4: (Christopher location unchanged; marble location changed) {Christopher location: balcony; marble location: library's stand; Christopher sees marble: False; Christopher's belief on marble: None}\n- Step 5: (Christopher location changed; marble location unchanged) {Christopher location: library; marble location: library's stand; Christopher sees marble: True; Christopher's belief on marble: library's stand}\n- Step 6: (Christopher location unchanged; marble location unchanged) {Christopher location: library; marble location: library's stand; Christopher sees marble: True; Christopher's belief on marble: library's stand}\n- Step 7: (Christopher location changed; marble location unchanged) {Christopher location: balcony; marble location: library's stand; Christopher sees marble: False; Christopher's belief on marble: library's stand}\n- Step 8: (Christopher location unchanged; marble location unchanged) {Christopher location: balcony; marble location: library's stand; Christopher sees marble: False; Christopher's belief on marble: library's stand}\n- Step 9: (Christopher location changed; marble location unchanged) {Christopher location: library; marble location: library's stand; Christopher sees marble: True; Christopher's belief on marble: library's stand}\n- Step 10: (Christopher location unchanged; marble location unchanged) {Christopher location: library; marble location: library's stand; Christopher sees marble: True; Christopher's belief on marble: library's stand}\nFinal Answer: the library's stand","item":{"question":"Where does Christopher believe the marble is?","story_components":"Agents: [Christopher, Jennifer].\nObjects: [the marble, the pencil case].\nRooms: [the library, the balcony].\nContainers: [the library's stand, the library's buffet, the balcony's stand, the balcony's buffet]"}}
+{"instance_id":"tom_tracking_0.5k_196","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Abigail is in the basement; Ashlee is in the laundry room; the pill bottle is on the laundry room's bench; the bookmark is on the basement's bench.\nStep 1: Abigail leaves the room he was in.\nStep 2: Ashlee moves the pill bottle to the laundry room's cabinet top.\nStep 3: Abigail enters the basement.\nStep 4: Ashlee moves the pill bottle to the laundry room's bench.\nStep 5: Abigail moves to the laundry room.\nStep 6: Ashlee leaves the room he was in.\nStep 7: Abigail moves to the basement.\nStep 8: Ashlee enters the basement.\nStep 9: Abigail leaves the room he was in.\nStep 10: Ashlee moves to the laundry room, and moves the bookmark to the laundry room's bench.\n\n[QUESTION]\nWhere does Abigail believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Abigail's belief on the bookmark:\n- Step 0: (initial state) {Abigail location: basement; bookmark location: basement's bench; Abigail sees bookmark: True; Abigail's belief on bookmark: basement's bench}\n- Step 1: (Abigail location changed; bookmark location unchanged) {Abigail location: None; bookmark location: basement's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\n- Step 2: (Abigail location unchanged; bookmark location unchanged) {Abigail location: None; bookmark location: basement's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\n- Step 3: (Abigail location changed; bookmark location unchanged) {Abigail location: basement; bookmark location: basement's bench; Abigail sees bookmark: True; Abigail's belief on bookmark: basement's bench}\n- Step 4: (Abigail location unchanged; bookmark location unchanged) {Abigail location: basement; bookmark location: basement's bench; Abigail sees bookmark: True; Abigail's belief on bookmark: basement's bench}\n- Step 5: (Abigail location changed; bookmark location unchanged) {Abigail location: laundry room; bookmark location: basement's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\n- Step 6: (Abigail location unchanged; bookmark location unchanged) {Abigail location: laundry room; bookmark location: basement's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\n- Step 7: (Abigail location changed; bookmark location unchanged) {Abigail location: basement; bookmark location: basement's bench; Abigail sees bookmark: True; Abigail's belief on bookmark: basement's bench}\n- Step 8: (Abigail location unchanged; bookmark location unchanged) {Abigail location: basement; bookmark location: basement's bench; Abigail sees bookmark: True; Abigail's belief on bookmark: basement's bench}\n- Step 9: (Abigail location changed; bookmark location unchanged) {Abigail location: None; bookmark location: basement's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\n- Step 10: (Abigail location unchanged; bookmark location changed) {Abigail location: None; bookmark location: laundry room's bench; Abigail sees bookmark: False; Abigail's belief on bookmark: basement's bench}\nFinal Answer: the basement's bench","item":{"question":"Where does Abigail believe the bookmark is?","story_components":"Agents: [Abigail, Ashlee].\nObjects: [the pill bottle, the bookmark].\nRooms: [the laundry room, the basement].\nContainers: [the laundry room's bench, the laundry room's cabinet top, the basement's bench, the basement's cabinet top]"}}
+{"instance_id":"tom_tracking_0.5k_197","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Kayla is in the bedroom; Kenneth is in the bedroom; the chewing gum is on the patio's ledge; the memory card is on the patio's ledge.\nStep 1: Kayla moves to the patio.\nStep 2: Kenneth moves to the patio.\nStep 3: Kayla leaves the room he was in.\nStep 4: Kenneth leaves the room he was in.\nStep 5: Kayla enters the bedroom.\nStep 6: Kenneth enters the patio.\nStep 7: Kenneth moves to the bedroom.\nStep 8: Kenneth moves to the patio.\nStep 9: Kayla moves to the patio.\nStep 10: Kenneth moves to the bedroom.\n\n[QUESTION]\nWhere does Kayla believe the memory card is?\n\n[YOUR ANSWER]","reference_output":"Kayla's belief on the memory card:\n- Step 0: (initial state) {Kayla location: bedroom; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: None}\n- Step 1: (Kayla location changed; memory card location unchanged) {Kayla location: patio; memory card location: patio's ledge; Kayla sees memory card: True; Kayla's belief on memory card: patio's ledge}\n- Step 2: (Kayla location unchanged; memory card location unchanged) {Kayla location: patio; memory card location: patio's ledge; Kayla sees memory card: True; Kayla's belief on memory card: patio's ledge}\n- Step 3: (Kayla location changed; memory card location unchanged) {Kayla location: None; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 4: (Kayla location unchanged; memory card location unchanged) {Kayla location: None; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 5: (Kayla location changed; memory card location unchanged) {Kayla location: bedroom; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 6: (Kayla location unchanged; memory card location unchanged) {Kayla location: bedroom; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 7: (Kayla location unchanged; memory card location unchanged) {Kayla location: bedroom; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 8: (Kayla location unchanged; memory card location unchanged) {Kayla location: bedroom; memory card location: patio's ledge; Kayla sees memory card: False; Kayla's belief on memory card: patio's ledge}\n- Step 9: (Kayla location changed; memory card location unchanged) {Kayla location: patio; memory card location: patio's ledge; Kayla sees memory card: True; Kayla's belief on memory card: patio's ledge}\n- Step 10: (Kayla location unchanged; memory card location unchanged) {Kayla location: patio; memory card location: patio's ledge; Kayla sees memory card: True; Kayla's belief on memory card: patio's ledge}\nFinal Answer: the patio's ledge","item":{"question":"Where does Kayla believe the memory card is?","story_components":"Agents: [Kayla, Kenneth].\nObjects: [the chewing gum, the memory card].\nRooms: [the bedroom, the patio].\nContainers: [the bedroom's ledge, the bedroom's buffet, the patio's ledge, the patio's buffet]"}}
+{"instance_id":"tom_tracking_0.5k_198","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Aaron is in the storage room; Mitchell is in the storage room; the magnet is on the storage room's pallet; the feather is on the home theater's pallet.\nStep 1: Aaron moves the magnet to the storage room's stand.\nStep 2: Mitchell leaves the room he was in.\nStep 3: Aaron moves the magnet to the storage room's pallet.\nStep 4: Mitchell enters the home theater.\nStep 5: Aaron moves the magnet to the storage room's stand.\nStep 6: Mitchell leaves the room he was in.\nStep 7: Aaron moves to the home theater.\nStep 8: Mitchell enters the storage room.\nStep 9: Aaron leaves the room he was in.\nStep 10: Mitchell moves to the home theater.\n\n[QUESTION]\nWhere does Mitchell believe the feather is?\n\n[YOUR ANSWER]","reference_output":"Mitchell's belief on the feather:\n- Step 0: (initial state) {Mitchell location: storage room; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: None}\n- Step 1: (Mitchell location unchanged; feather location unchanged) {Mitchell location: storage room; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: None}\n- Step 2: (Mitchell location changed; feather location unchanged) {Mitchell location: None; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: None}\n- Step 3: (Mitchell location unchanged; feather location unchanged) {Mitchell location: None; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: None}\n- Step 4: (Mitchell location changed; feather location unchanged) {Mitchell location: home theater; feather location: home theater's pallet; Mitchell sees feather: True; Mitchell's belief on feather: home theater's pallet}\n- Step 5: (Mitchell location unchanged; feather location unchanged) {Mitchell location: home theater; feather location: home theater's pallet; Mitchell sees feather: True; Mitchell's belief on feather: home theater's pallet}\n- Step 6: (Mitchell location changed; feather location unchanged) {Mitchell location: None; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: home theater's pallet}\n- Step 7: (Mitchell location unchanged; feather location unchanged) {Mitchell location: None; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: home theater's pallet}\n- Step 8: (Mitchell location changed; feather location unchanged) {Mitchell location: storage room; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: home theater's pallet}\n- Step 9: (Mitchell location unchanged; feather location unchanged) {Mitchell location: storage room; feather location: home theater's pallet; Mitchell sees feather: False; Mitchell's belief on feather: home theater's pallet}\n- Step 10: (Mitchell location changed; feather location unchanged) {Mitchell location: home theater; feather location: home theater's pallet; Mitchell sees feather: True; Mitchell's belief on feather: home theater's pallet}\nFinal Answer: the home theater's pallet","item":{"question":"Where does Mitchell believe the feather is?","story_components":"Agents: [Aaron, Mitchell].\nObjects: [the magnet, the feather].\nRooms: [the storage room, the home theater].\nContainers: [the storage room's pallet, the storage room's stand, the home theater's pallet, the home theater's stand]"}}
+{"instance_id":"tom_tracking_0.5k_199","input_prompt":"[TASK]\nYou'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.\n\n[APPROACH]\nYou will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.\n1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.\n2. Then, track step-by-step:\n* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.\n* If a step involves the object of interest moving, you should update the object's location.\n* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.\n3. Format your output exactly as shown in example answers below.\n\n[EXAMPLE STORY1]\nStep 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.\nStep 1: Catherine moves to the sauna.\nStep 2: Catherine moves to the patio.\nStep 3: Catherine moves to the sauna.\nStep 4: Catherine moves the pencil sharpener to the sauna's nightstand.\nStep 5: Catherine moves to the patio.\nStep 6: Kristin moves to the sauna.\nStep 7: Catherine moves to the sauna.\nStep 8: Kristin leaves the room he was in.\nStep 9: Catherine moves the thread spool to the sauna's nightstand.\nStep 10: Kristin enters the patio.\n\n[EXAMPLE QUESTION1]\nWhere does Catherine believe the thread spool is?\n\n[EXAMPLE ANSWER1]\nCatherine's belief on the thread spool:\n- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}\n- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}\n- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}\n- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\n- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}\nFinal Answer: the sauna's nightstand\n\n\n[EXAMPLE STORY2]\nStep 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.\nStep 1: Kathryn moves to the patio.\nStep 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.\nStep 3: Kathryn moves the fuse to the storage room's coffee table.\nStep 4: Mitchell leaves the room he was in.\nStep 5: Kathryn moves the fuse to the storage room's ledge.\nStep 6: Mitchell enters the storage room.\nStep 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.\nStep 8: Kathryn moves the rubber band to the patio's ledge.\nStep 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.\nStep 10: Mitchell moves the rubber band to the storage room's coffee table.\n\n[EXAMPLE QUESTION2]\nWhere does Kathryn believe the fuse is?\n\n[EXAMPLE ANSWER2]\nKathryn's belief on the fuse:\n- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}\n- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}\n- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}\n- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}\n- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}\n- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\n- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}\nFinal Answer: the patio's ledge\n\n[PROBLEM]\nRead the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.\n\n[STORY]\nStep 0: Aaron is in the attic; Austin is in the attic; the bookmark is on the laundry room's tray; the knife is on the attic's rack.\nStep 1: Aaron leaves the room he was in.\nStep 2: Austin moves to the laundry room, and moves the knife to the laundry room's tray.\nStep 3: Aaron enters the laundry room.\nStep 4: Austin leaves the room he was in.\nStep 5: Aaron leaves the room he was in.\nStep 6: Austin enters the attic.\nStep 7: Aaron enters the attic.\nStep 8: Austin moves to the laundry room.\nStep 9: Austin leaves the room he was in.\nStep 10: Austin enters the laundry room.\n\n[QUESTION]\nWhere does Austin believe the bookmark is?\n\n[YOUR ANSWER]","reference_output":"Austin's belief on the bookmark:\n- Step 0: (initial state) {Austin location: attic; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: None}\n- Step 1: (Austin location unchanged; bookmark location unchanged) {Austin location: attic; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: None}\n- Step 2: (Austin location changed; bookmark location unchanged) {Austin location: laundry room; bookmark location: laundry room's tray; Austin sees bookmark: True; Austin's belief on bookmark: laundry room's tray}\n- Step 3: (Austin location unchanged; bookmark location unchanged) {Austin location: laundry room; bookmark location: laundry room's tray; Austin sees bookmark: True; Austin's belief on bookmark: laundry room's tray}\n- Step 4: (Austin location changed; bookmark location unchanged) {Austin location: None; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: laundry room's tray}\n- Step 5: (Austin location unchanged; bookmark location unchanged) {Austin location: None; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: laundry room's tray}\n- Step 6: (Austin location changed; bookmark location unchanged) {Austin location: attic; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: laundry room's tray}\n- Step 7: (Austin location unchanged; bookmark location unchanged) {Austin location: attic; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: laundry room's tray}\n- Step 8: (Austin location changed; bookmark location unchanged) {Austin location: laundry room; bookmark location: laundry room's tray; Austin sees bookmark: True; Austin's belief on bookmark: laundry room's tray}\n- Step 9: (Austin location changed; bookmark location unchanged) {Austin location: None; bookmark location: laundry room's tray; Austin sees bookmark: False; Austin's belief on bookmark: laundry room's tray}\n- Step 10: (Austin location changed; bookmark location unchanged) {Austin location: laundry room; bookmark location: laundry room's tray; Austin sees bookmark: True; Austin's belief on bookmark: laundry room's tray}\nFinal Answer: the laundry room's tray","item":{"question":"Where does Austin believe the bookmark is?","story_components":"Agents: [Aaron, Austin].\nObjects: [the bookmark, the knife].\nRooms: [the attic, the laundry room].\nContainers: [the attic's tray, the attic's rack, the laundry room's tray, the laundry room's rack]"}}