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 7 inhabitants: Noah, Evelyn, Joseph, Ava, Scarlett, Sofia, and Mia. Noah remarked, "Mia is a knight or Joseph is a knave". Evelyn stated, "Mia is a knight if and only if Joseph is a knave". Joseph said, "Sofia is a knave if and only if Noah is a knight." Ava stated, "Evelyn is a knight". Scarlett said, "Ava is a knave or Sofia is a knave." "Noah is a knight or Joseph is a knave," Sofia declared. "Sofia is a knight" - Mia. 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 Noah is a knight.  No contradiction is found in their claim that Mia is a knight or Joseph is a knave.
 Assume Mia is a knight.  No contradiction is found in their claim that Sofia is a knight.
 Assume Sofia is a knight.  No contradiction is found in their claim that Noah is a knight or Joseph is a knave.
 Joseph cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Noah is a knight.
 Assume Joseph is a knave.  No contradiction is found in their false claim that Sofia is a knave if and only if Noah is a knight.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Mia is a knight if and only if Joseph is a knave.
 Assume Ava is a knight.  No contradiction is found in their claim that Evelyn is a knight.
 Scarlett cannot be a knight, because this would contradict the claim of their own that Ava is a knave or Sofia is a knave.
 Assume Scarlett is a knave.  No contradiction is found in their false claim that Ava is a knave or Sofia is a knave.
 Therefore, (1) Noah is a knight
 (2) Evelyn is a knight
 (3) Joseph is a knave
 (4) Ava is a knight
 (5) Scarlett is a knave
 (6) Sofia is a knight
 (7) Mia 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 7 inhabitants: Noah, Evelyn, Joseph, Ava, Scarlett, Sofia, and Mia. Noah remarked, "Mia is a knight or Joseph is a knave". Evelyn stated, "Mia is a knight if and only if Joseph is a knave". Joseph said, "Sofia is a knave if and only if Noah is a knight." Ava stated, "Evelyn is a knight". Scarlett said, "Ava is a knave or Sofia is a knave." "Noah is a knight or Joseph is a knave," Sofia declared. "Sofia is a knight" - Mia. 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 Noah is a knight. No contradiction is found in their claim that Mia is a knight or Joseph is a knave.
Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knight.
Assume Sofia is a knight. No contradiction is found in their claim that Noah is a knight or Joseph is a knave.
Joseph cannot be a knight, because this would contradict the claim of their own that Sofia is a knave if and only if Noah is a knight.
Assume Joseph is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Noah is a knight.
Assume Evelyn is a knight. No contradiction is found in their claim that Mia is a knight if and only if Joseph is a knave.
Assume Ava is a knight. No contradiction is found in their claim that Evelyn is a knight.
Scarlett cannot be a knight, because this would contradict the claim of their own that Ava is a knave or Sofia is a knave.
Assume Scarlett is a knave. No contradiction is found in their false claim that Ava is a knave or Sofia is a knave.
Therefore, (1) Noah is a knight
(2) Evelyn is a knight
(3) Joseph is a knave
(4) Ava is a knight
(5) Scarlett is a knave
(6) Sofia is a knight
(7) Mia is a knight </think>
<answer> (1) Noah is a knight
(2) Evelyn is a knight
(3) Joseph is a knave
(4) Ava is a knight
(5) Scarlett is a knave
(6) Sofia is a knight
(7) Mia is a knight </answer>
Noah Evelyn Joseph Ava Scarlett Sofia Mia
(1) Noah is a knight
(2) Evelyn is a knight
(3) Joseph is a knave
(4) Ava is a knight
(5) Scarlett is a knave
(6) Sofia is a knight
(7) Mia is a knight
(('or', ('telling-truth', 6), ('lying', 2)), ('<=>', ('telling-truth', 6), ('lying', 2)), ('<=>', ('lying', 5), ('telling-truth', 0)), ('telling-truth', 1), ('or', ('lying', 3), ('lying', 5)), ('or', ('telling-truth', 0), ('lying', 2)), ('telling-truth', 5))
rule