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 5 inhabitants: Zoey, Lily, Aiden, Mason, and Jack. In Zoey's words: "Mason is a knave if and only if Mason is a knight". Lily noted, "Zoey is a knight if and only if Mason is a knave". Aiden expressed that If Mason is a knave then Zoey is a knight. Mason told you that Zoey is a knight and Jack is a knight. Jack said, "Zoey is not a knave." 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
Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.
 Assume Zoey is a knave.  No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight.
 Mason cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Jack is a knight.
 Assume Mason is a knave.  No contradiction is found in their false claim that Zoey is a knight and Jack is a knight.
 Jack cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.
 Assume Jack is a knave.  No contradiction is found in their false claim that Zoey is not a knave.
 Lily cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Mason is a knave.
 Assume Lily is a knave.  No contradiction is found in their false claim that Zoey is a knight if and only if Mason is a knave.
 Aiden cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Zoey is a knight.
 Assume Aiden is a knave.  No contradiction is found in their false claim that If Mason is a knave then Zoey is a knight.
 Therefore, (1) Zoey is a knave
 (2) Lily is a knave
 (3) Aiden is a knave
 (4) Mason is a knave
 (5) Jack 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 5 inhabitants: Zoey, Lily, Aiden, Mason, and Jack. In Zoey's words: "Mason is a knave if and only if Mason is a knight". Lily noted, "Zoey is a knight if and only if Mason is a knave". Aiden expressed that If Mason is a knave then Zoey is a knight. Mason told you that Zoey is a knight and Jack is a knight. Jack said, "Zoey is not a knave." 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> 
Zoey cannot be a knight, because this would contradict the claim of their own that Mason is a knave if and only if Mason is a knight.
Assume Zoey is a knave. No contradiction is found in their false claim that Mason is a knave if and only if Mason is a knight.
Mason cannot be a knight, because this would contradict the claim of their own that Zoey is a knight and Jack is a knight.
Assume Mason is a knave. No contradiction is found in their false claim that Zoey is a knight and Jack is a knight.
Jack cannot be a knight, because this would contradict the claim of their own that Zoey is not a knave.
Assume Jack is a knave. No contradiction is found in their false claim that Zoey is not a knave.
Lily cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Mason is a knave.
Assume Lily is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Mason is a knave.
Aiden cannot be a knight, because this would contradict the claim of their own that If Mason is a knave then Zoey is a knight.
Assume Aiden is a knave. No contradiction is found in their false claim that If Mason is a knave then Zoey is a knight.
Therefore, (1) Zoey is a knave
(2) Lily is a knave
(3) Aiden is a knave
(4) Mason is a knave
(5) Jack is a knave </think>
<answer> (1) Zoey is a knave
(2) Lily is a knave
(3) Aiden is a knave
(4) Mason is a knave
(5) Jack is a knave </answer>
Zoey Lily Aiden Mason Jack
(1) Zoey is a knave
(2) Lily is a knave
(3) Aiden is a knave
(4) Mason is a knave
(5) Jack is a knave
(('<=>', ('lying', 3), ('telling-truth', 3)), ('<=>', ('telling-truth', 0), ('lying', 3)), ('->', ('lying', 3), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('not', ('lying', 0)))
rule