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 6 inhabitants: Ella, Joseph, Ava, Mason, Sofia, and Aurora. In Ella's words: "Mason is a knight if and only if Sofia is a knave". "Mason is not a knave," Joseph declared. Ava told you that Joseph is a knight and Sofia is a knight. "Aurora is not a knave" - Mason. "Ella is a knave and Aurora is a knave," Sofia claimed. Aurora told you that If Aurora is a knight then Ella 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 Ella is a knight.  No contradiction is found in their claim that Mason is a knight if and only if Sofia is a knave.
 Assume Mason is a knight.  No contradiction is found in their claim that Aurora is not a knave.
 Assume Aurora is a knight.  No contradiction is found in their claim that If Aurora is a knight then Ella is a knight.
 Sofia cannot be a knight, because this would contradict the claim of Ella that Mason is a knight if and only if Sofia is a knave.
 Assume Sofia is a knave.  No contradiction is found in their false claim that Ella is a knave and Aurora is a knave.
 Assume Joseph is a knight.  No contradiction is found in their claim that Mason is not a knave.
 Ava cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Sofia is a knight.
 Assume Ava is a knave.  No contradiction is found in their false claim that Joseph is a knight and Sofia is a knight.
 Therefore, (1) Ella is a knight
 (2) Joseph is a knight
 (3) Ava is a knave
 (4) Mason is a knight
 (5) Sofia is a knave
 (6) Aurora 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 6 inhabitants: Ella, Joseph, Ava, Mason, Sofia, and Aurora. In Ella's words: "Mason is a knight if and only if Sofia is a knave". "Mason is not a knave," Joseph declared. Ava told you that Joseph is a knight and Sofia is a knight. "Aurora is not a knave" - Mason. "Ella is a knave and Aurora is a knave," Sofia claimed. Aurora told you that If Aurora is a knight then Ella 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 Ella is a knight. No contradiction is found in their claim that Mason is a knight if and only if Sofia is a knave.
Assume Mason is a knight. No contradiction is found in their claim that Aurora is not a knave.
Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Ella is a knight.
Sofia cannot be a knight, because this would contradict the claim of Ella that Mason is a knight if and only if Sofia is a knave.
Assume Sofia is a knave. No contradiction is found in their false claim that Ella is a knave and Aurora is a knave.
Assume Joseph is a knight. No contradiction is found in their claim that Mason is not a knave.
Ava cannot be a knight, because this would contradict the claim of their own that Joseph is a knight and Sofia is a knight.
Assume Ava is a knave. No contradiction is found in their false claim that Joseph is a knight and Sofia is a knight.
Therefore, (1) Ella is a knight
(2) Joseph is a knight
(3) Ava is a knave
(4) Mason is a knight
(5) Sofia is a knave
(6) Aurora is a knight </think>
<answer> (1) Ella is a knight
(2) Joseph is a knight
(3) Ava is a knave
(4) Mason is a knight
(5) Sofia is a knave
(6) Aurora is a knight </answer>
Ella Joseph Ava Mason Sofia Aurora
(1) Ella is a knight
(2) Joseph is a knight
(3) Ava is a knave
(4) Mason is a knight
(5) Sofia is a knave
(6) Aurora is a knight
(('<=>', ('telling-truth', 3), ('lying', 4)), ('not', ('lying', 3)), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('not', ('lying', 5)), ('and', ('lying', 0), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 0)))
rule