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 4 inhabitants: Owen, Aiden, Henry, and Michael. Owen said that Aiden is not a knave. In a statement by Aiden: "If Owen is a knight then Michael is a knight". "Owen is a knight," Henry mentioned. Michael commented, "Michael 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 Owen is a knight.  No contradiction is found in their claim that Aiden is not a knave.
 Assume Aiden is a knight.  No contradiction is found in their claim that If Owen is a knight then Michael is a knight.
 Assume Michael is a knight.  No contradiction is found in their claim that Michael is a knight.
 Assume Henry is a knight.  No contradiction is found in their claim that Owen is a knight.
 Therefore, (1) Owen is a knight
 (2) Aiden is a knight
 (3) Henry is a knight
 (4) Michael 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 4 inhabitants: Owen, Aiden, Henry, and Michael. Owen said that Aiden is not a knave. In a statement by Aiden: "If Owen is a knight then Michael is a knight". "Owen is a knight," Henry mentioned. Michael commented, "Michael 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 Owen is a knight. No contradiction is found in their claim that Aiden is not a knave.
Assume Aiden is a knight. No contradiction is found in their claim that If Owen is a knight then Michael is a knight.
Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight.
Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight.
Therefore, (1) Owen is a knight
(2) Aiden is a knight
(3) Henry is a knight
(4) Michael is a knight </think>
<answer> (1) Owen is a knight
(2) Aiden is a knight
(3) Henry is a knight
(4) Michael is a knight </answer>
Owen Aiden Henry Michael
(1) Owen is a knight
(2) Aiden is a knight
(3) Henry is a knight
(4) Michael is a knight
(('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 0), ('telling-truth', 3))
rule