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: Sofia, Amelia, and Mason. Sofia commented, "If Sofia is a knight then Mason is a knave". Amelia noted, "Sofia is a knight if and only if Mason is a knave". Mason stated, "Mason is a knight and Sofia 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 Sofia is a knight.  No contradiction is found in their claim that If Sofia is a knight then Mason is a knave.
 Mason cannot be a knight, because this would contradict the claim of Sofia that If Sofia is a knight then Mason is a knave.
 Assume Mason is a knave.  No contradiction is found in their false claim that Mason is a knight and Sofia is a knight.
 Assume Amelia is a knight.  No contradiction is found in their claim that Sofia is a knight if and only if Mason is a knave.
 Therefore, (1) Sofia is a knight
 (2) Amelia is a knight
 (3) Mason 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 3 inhabitants: Sofia, Amelia, and Mason. Sofia commented, "If Sofia is a knight then Mason is a knave". Amelia noted, "Sofia is a knight if and only if Mason is a knave". Mason stated, "Mason is a knight and Sofia 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 Sofia is a knight. No contradiction is found in their claim that If Sofia is a knight then Mason is a knave.
Mason cannot be a knight, because this would contradict the claim of Sofia that If Sofia is a knight then Mason is a knave.
Assume Mason is a knave. No contradiction is found in their false claim that Mason is a knight and Sofia is a knight.
Assume Amelia is a knight. No contradiction is found in their claim that Sofia is a knight if and only if Mason is a knave.
Therefore, (1) Sofia is a knight
(2) Amelia is a knight
(3) Mason is a knave </think>
<answer> (1) Sofia is a knight
(2) Amelia is a knight
(3) Mason is a knave </answer>
Sofia Amelia Mason
(1) Sofia is a knight
(2) Amelia is a knight
(3) Mason is a knave
(('->', ('telling-truth', 0), ('lying', 2)), ('<=>', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 0)))
rule