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 3 inhabitants: Emily, Lily, and Mason. Emily said that Mason is a knight. "If Emily is a knight then Lily is a knight," Lily mentioned. "Lily is a knight or Emily is a knave," Mason 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 Emily is a knight.  No contradiction is found in their claim that Mason is a knight.
 Assume Mason is a knight.  No contradiction is found in their claim that Lily is a knight or Emily is a knave.
 Assume Lily is a knight.  No contradiction is found in their claim that If Emily is a knight then Lily is a knight.
 Therefore, (1) Emily is a knight
 (2) Lily is a knight
 (3) Mason 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 3 inhabitants: Emily, Lily, and Mason. Emily said that Mason is a knight. "If Emily is a knight then Lily is a knight," Lily mentioned. "Lily is a knight or Emily is a knave," Mason 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 Emily is a knight. No contradiction is found in their claim that Mason is a knight.
Assume Mason is a knight. No contradiction is found in their claim that Lily is a knight or Emily is a knave.
Assume Lily is a knight. No contradiction is found in their claim that If Emily is a knight then Lily is a knight.
Therefore, (1) Emily is a knight
(2) Lily is a knight
(3) Mason is a knight </think>
<answer> (1) Emily is a knight
(2) Lily is a knight
(3) Mason is a knight </answer>
Emily Lily Mason
(1) Emily is a knight
(2) Lily is a knight
(3) Mason is a knight
(('telling-truth', 2), ('->', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))
rule