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: Grace, Evelyn, Sebastian, James, Oliver, and Sophia. Grace said, "Sebastian is not a knight." Evelyn remarked, "Oliver is not a knight". Sebastian expressed that Evelyn is not a knight. James stated, "Sophia is a knave if and only if Sophia is a knight". Oliver stated, "James is a knave or Sebastian is a knave". "James is a knave if and only if Sebastian is a knight," Sophia declared. 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 Grace is a knight.  No contradiction is found in their claim that Sebastian is not a knight.
 Sebastian cannot be a knight, because this would contradict the claim of Grace that Sebastian is not a knight.
 Assume Sebastian is a knave.  No contradiction is found in their false claim that Evelyn is not a knight.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Oliver is not a knight.
 Oliver cannot be a knight, because this would contradict the claim of Evelyn that Oliver is not a knight.
 Oliver cannot be a knave, because this would contradict the false claim of their own that James is a knave or Sebastian is a knave.
 We have exhausted all possibilities for Oliver, so let us go back and reconsider Evelyn.
 Evelyn cannot be a knave, because this would contradict the false claim of Sebastian that Evelyn is not a knight.
 We have exhausted all possibilities for Evelyn and Sebastian, so let us go back and reconsider Grace.
 Assume Grace is a knave.  No contradiction is found in their false claim that Sebastian is not a knight.
 Assume Sebastian is a knight.  No contradiction is found in their claim that Evelyn is not a knight.
 Evelyn cannot be a knight, because this would contradict the claim of Sebastian that Evelyn is not a knight.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that Oliver is not a knight.
 Assume Oliver is a knight.  No contradiction is found in their claim that James is a knave or Sebastian is a knave.
 James cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Sophia is a knight.
 Assume James is a knave.  No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight.
 Assume Sophia is a knight.  No contradiction is found in their claim that James is a knave if and only if Sebastian is a knight.
 Therefore, (1) Grace is a knave
 (2) Evelyn is a knave
 (3) Sebastian is a knight
 (4) James is a knave
 (5) Oliver is a knight
 (6) Sophia 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: Grace, Evelyn, Sebastian, James, Oliver, and Sophia. Grace said, "Sebastian is not a knight." Evelyn remarked, "Oliver is not a knight". Sebastian expressed that Evelyn is not a knight. James stated, "Sophia is a knave if and only if Sophia is a knight". Oliver stated, "James is a knave or Sebastian is a knave". "James is a knave if and only if Sebastian is a knight," Sophia declared. 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 Grace is a knight. No contradiction is found in their claim that Sebastian is not a knight.
Sebastian cannot be a knight, because this would contradict the claim of Grace that Sebastian is not a knight.
Assume Sebastian is a knave. No contradiction is found in their false claim that Evelyn is not a knight.
Assume Evelyn is a knight. No contradiction is found in their claim that Oliver is not a knight.
Oliver cannot be a knight, because this would contradict the claim of Evelyn that Oliver is not a knight.
Oliver cannot be a knave, because this would contradict the false claim of their own that James is a knave or Sebastian is a knave.
We have exhausted all possibilities for Oliver, so let us go back and reconsider Evelyn.
Evelyn cannot be a knave, because this would contradict the false claim of Sebastian that Evelyn is not a knight.
We have exhausted all possibilities for Evelyn and Sebastian, so let us go back and reconsider Grace.
Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is not a knight.
Assume Sebastian is a knight. No contradiction is found in their claim that Evelyn is not a knight.
Evelyn cannot be a knight, because this would contradict the claim of Sebastian that Evelyn is not a knight.
Assume Evelyn is a knave. No contradiction is found in their false claim that Oliver is not a knight.
Assume Oliver is a knight. No contradiction is found in their claim that James is a knave or Sebastian is a knave.
James cannot be a knight, because this would contradict the claim of their own that Sophia is a knave if and only if Sophia is a knight.
Assume James is a knave. No contradiction is found in their false claim that Sophia is a knave if and only if Sophia is a knight.
Assume Sophia is a knight. No contradiction is found in their claim that James is a knave if and only if Sebastian is a knight.
Therefore, (1) Grace is a knave
(2) Evelyn is a knave
(3) Sebastian is a knight
(4) James is a knave
(5) Oliver is a knight
(6) Sophia is a knight </think>
<answer> (1) Grace is a knave
(2) Evelyn is a knave
(3) Sebastian is a knight
(4) James is a knave
(5) Oliver is a knight
(6) Sophia is a knight </answer>
Grace Evelyn Sebastian James Oliver Sophia
(1) Grace is a knave
(2) Evelyn is a knave
(3) Sebastian is a knight
(4) James is a knave
(5) Oliver is a knight
(6) Sophia is a knight
(('not', ('telling-truth', 2)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 1)), ('<=>', ('lying', 5), ('telling-truth', 5)), ('or', ('lying', 3), ('lying', 2)), ('<=>', ('lying', 3), ('telling-truth', 2)))
rule