A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Aurora, Mia, Owen, Aiden, and Victoria. "If Owen is a knave then Aurora is a knave," Scarlett mentioned. Aurora said that Victoria is a knight and Victoria is a knave. Mia commented, "Victoria is a knight". In Owen's words: "Mia is a knave". Aiden stated, "Mia is a knave if and only if Aiden is a knight". Victoria said, "If Aiden is a knave then Aiden is a knight." So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
user
Assume Scarlett is a knight.  No contradiction is found in their claim that If Owen is a knave then Aurora is a knave.
 Assume Owen is a knight.  No contradiction is found in their claim that Mia is a knave.
 Mia cannot be a knight, because this would contradict the claim of Owen that Mia is a knave.
 Assume Mia is a knave.  No contradiction is found in their false claim that Victoria is a knight.
 Victoria cannot be a knight, because this would contradict the false claim of Mia that Victoria is a knight.
 Assume Victoria is a knave.  No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.
 Aiden cannot be a knight, because this would contradict the false claim of Victoria that If Aiden is a knave then Aiden is a knight.
 Assume Aiden is a knave.  No contradiction is found in their false claim that Mia is a knave if and only if Aiden is a knight.
 Aurora cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.
 Assume Aurora is a knave.  No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.
 Therefore, (1) Scarlett is a knight
 (2) Aurora is a knave
 (3) Mia is a knave
 (4) Owen is a knight
 (5) Aiden is a knave
 (6) Victoria is a knave
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Aurora, Mia, Owen, Aiden, and Victoria. "If Owen is a knave then Aurora is a knave," Scarlett mentioned. Aurora said that Victoria is a knight and Victoria is a knave. Mia commented, "Victoria is a knight". In Owen's words: "Mia is a knave". Aiden stated, "Mia is a knave if and only if Aiden is a knight". Victoria said, "If Aiden is a knave then Aiden is a knight." So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
Assume Scarlett is a knight. No contradiction is found in their claim that If Owen is a knave then Aurora is a knave.
Assume Owen is a knight. No contradiction is found in their claim that Mia is a knave.
Mia cannot be a knight, because this would contradict the claim of Owen that Mia is a knave.
Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knight.
Victoria cannot be a knight, because this would contradict the false claim of Mia that Victoria is a knight.
Assume Victoria is a knave. No contradiction is found in their false claim that If Aiden is a knave then Aiden is a knight.
Aiden cannot be a knight, because this would contradict the false claim of Victoria that If Aiden is a knave then Aiden is a knight.
Assume Aiden is a knave. No contradiction is found in their false claim that Mia is a knave if and only if Aiden is a knight.
Aurora cannot be a knight, because this would contradict the claim of their own that Victoria is a knight and Victoria is a knave.
Assume Aurora is a knave. No contradiction is found in their false claim that Victoria is a knight and Victoria is a knave.
Therefore, (1) Scarlett is a knight
(2) Aurora is a knave
(3) Mia is a knave
(4) Owen is a knight
(5) Aiden is a knave
(6) Victoria is a knave </think>
<answer> (1) Scarlett is a knight
(2) Aurora is a knave
(3) Mia is a knave
(4) Owen is a knight
(5) Aiden is a knave
(6) Victoria is a knave </answer>
Scarlett Aurora Mia Owen Aiden Victoria
(1) Scarlett is a knight
(2) Aurora is a knave
(3) Mia is a knave
(4) Owen is a knight
(5) Aiden is a knave
(6) Victoria is a knave
(('->', ('lying', 3), ('lying', 1)), ('and', ('telling-truth', 5), ('lying', 5)), ('telling-truth', 5), ('lying', 2), ('<=>', ('lying', 2), ('telling-truth', 4)), ('->', ('lying', 4), ('telling-truth', 4)))
rule