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: Michael, Evelyn, Luke, Noah, and Isabella. Michael was heard saying, "Evelyn is a knave". Evelyn remarked, "Noah is a knight and Michael is a knight". In Luke's words: "Evelyn is a knight or Isabella is a knave". Noah said, "Isabella is a knight if and only if Luke is a knight." "If Michael is a knave then Michael is a knight," Isabella claimed. 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 Michael is a knight.  No contradiction is found in their claim that Evelyn is a knave.
 Evelyn cannot be a knight, because this would contradict the claim of Michael that Evelyn is a knave.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that Noah is a knight and Michael is a knight.
 Noah cannot be a knight, because this would contradict the false claim of Evelyn that Noah is a knight and Michael is a knight.
 Assume Noah is a knave.  No contradiction is found in their false claim that Isabella is a knight if and only if Luke is a knight.
 Assume Isabella is a knight.  No contradiction is found in their claim that If Michael is a knave then Michael is a knight.
 Luke cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or Isabella is a knave.
 Assume Luke is a knave.  No contradiction is found in their false claim that Evelyn is a knight or Isabella is a knave.
 Therefore, (1) Michael is a knight
 (2) Evelyn is a knave
 (3) Luke is a knave
 (4) Noah is a knave
 (5) Isabella is a knight
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: Michael, Evelyn, Luke, Noah, and Isabella. Michael was heard saying, "Evelyn is a knave". Evelyn remarked, "Noah is a knight and Michael is a knight". In Luke's words: "Evelyn is a knight or Isabella is a knave". Noah said, "Isabella is a knight if and only if Luke is a knight." "If Michael is a knave then Michael is a knight," Isabella claimed. 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 Michael is a knight. No contradiction is found in their claim that Evelyn is a knave.
Evelyn cannot be a knight, because this would contradict the claim of Michael that Evelyn is a knave.
Assume Evelyn is a knave. No contradiction is found in their false claim that Noah is a knight and Michael is a knight.
Noah cannot be a knight, because this would contradict the false claim of Evelyn that Noah is a knight and Michael is a knight.
Assume Noah is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Luke is a knight.
Assume Isabella is a knight. No contradiction is found in their claim that If Michael is a knave then Michael is a knight.
Luke cannot be a knight, because this would contradict the claim of their own that Evelyn is a knight or Isabella is a knave.
Assume Luke is a knave. No contradiction is found in their false claim that Evelyn is a knight or Isabella is a knave.
Therefore, (1) Michael is a knight
(2) Evelyn is a knave
(3) Luke is a knave
(4) Noah is a knave
(5) Isabella is a knight </think>
<answer> (1) Michael is a knight
(2) Evelyn is a knave
(3) Luke is a knave
(4) Noah is a knave
(5) Isabella is a knight </answer>
Michael Evelyn Luke Noah Isabella
(1) Michael is a knight
(2) Evelyn is a knave
(3) Luke is a knave
(4) Noah is a knave
(5) Isabella is a knight
(('lying', 1), ('and', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 4)), ('<=>', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('lying', 0), ('telling-truth', 0)))
rule