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: Sebastian, Amelia, Sofia, Jack, Daniel, Emma, and Evelyn. Sebastian told you that Daniel is a knight if and only if Jack is a knight. Amelia said, "Daniel is a knave." Sofia expressed that Emma is a knight or Emma is a knave. According to Jack, "Emma is a knight if and only if Sofia is a knave". "If Evelyn is a knight then Jack is a knave," Daniel mentioned. Emma remarked, "Amelia is a knave or Daniel is a knight". Evelyn asserted: "Jack is a knight and Emma 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 Sebastian is a knight.  No contradiction is found in their claim that Daniel is a knight if and only if Jack is a knight.
 Assume Daniel is a knight.  No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Jack is a knight and Emma is a knight.
 Jack cannot be a knight, because this would contradict the claim of Daniel that If Evelyn is a knight then Jack is a knave.
 Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
 We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that Jack is a knight and Emma is a knight.
 Assume Jack is a knight.  No contradiction is found in their claim that Emma is a knight if and only if Sofia is a knave.
 Emma cannot be a knight, because this would contradict the false claim of Evelyn that Jack is a knight and Emma is a knight.
 Emma cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Daniel is a knight.
 We have exhausted all possibilities for Emma, so let us go back and reconsider Jack.
 Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
 We have exhausted all possibilities for Jack and Evelyn, so let us go back and reconsider Daniel.
 Assume Daniel is a knave.  No contradiction is found in their false claim that If Evelyn is a knight then Jack is a knave.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Jack is a knight and Emma is a knight.
 Jack cannot be a knight, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
 Jack cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.
 We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
 Evelyn cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.
 We have exhausted all possibilities for Evelyn and Daniel, so let us go back and reconsider Sebastian.
 Assume Sebastian is a knave.  No contradiction is found in their false claim that Daniel is a knight if and only if Jack is a knight.
 Assume Daniel is a knight.  No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Jack is a knight and Emma is a knight.
 Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
 Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and Emma is a knight.
 We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that Jack is a knight and Emma is a knight.
 Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
 Assume Jack is a knave.  No contradiction is found in their false claim that Emma is a knight if and only if Sofia is a knave.
 Assume Emma is a knight.  No contradiction is found in their claim that Amelia is a knave or Daniel is a knight.
 Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.
 Assume Amelia is a knave.  No contradiction is found in their false claim that Daniel is a knave.
 Assume Sofia is a knight.  No contradiction is found in their claim that Emma is a knight or Emma is a knave.
 Therefore, (1) Sebastian is a knave
 (2) Amelia is a knave
 (3) Sofia is a knight
 (4) Jack is a knave
 (5) Daniel is a knight
 (6) Emma is a knight
 (7) Evelyn 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 7 inhabitants: Sebastian, Amelia, Sofia, Jack, Daniel, Emma, and Evelyn. Sebastian told you that Daniel is a knight if and only if Jack is a knight. Amelia said, "Daniel is a knave." Sofia expressed that Emma is a knight or Emma is a knave. According to Jack, "Emma is a knight if and only if Sofia is a knave". "If Evelyn is a knight then Jack is a knave," Daniel mentioned. Emma remarked, "Amelia is a knave or Daniel is a knight". Evelyn asserted: "Jack is a knight and Emma 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 Sebastian is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Jack is a knight.
Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.
Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.
Jack cannot be a knight, because this would contradict the claim of Daniel that If Evelyn is a knight then Jack is a knave.
Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight and Emma is a knight.
Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight if and only if Sofia is a knave.
Emma cannot be a knight, because this would contradict the false claim of Evelyn that Jack is a knight and Emma is a knight.
Emma cannot be a knave, because this would contradict the false claim of their own that Amelia is a knave or Daniel is a knight.
We have exhausted all possibilities for Emma, so let us go back and reconsider Jack.
Jack cannot be a knave, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
We have exhausted all possibilities for Jack and Evelyn, so let us go back and reconsider Daniel.
Assume Daniel is a knave. No contradiction is found in their false claim that If Evelyn is a knight then Jack is a knave.
Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.
Jack cannot be a knight, because this would contradict the claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
Jack cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.
We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
Evelyn cannot be a knave, because this would contradict the false claim of Daniel that If Evelyn is a knight then Jack is a knave.
We have exhausted all possibilities for Evelyn and Daniel, so let us go back and reconsider Sebastian.
Assume Sebastian is a knave. No contradiction is found in their false claim that Daniel is a knight if and only if Jack is a knight.
Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knight then Jack is a knave.
Assume Evelyn is a knight. No contradiction is found in their claim that Jack is a knight and Emma is a knight.
Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
Jack cannot be a knave, because this would contradict the claim of Evelyn that Jack is a knight and Emma is a knight.
We have exhausted all possibilities for Jack, so let us go back and reconsider Evelyn.
Assume Evelyn is a knave. No contradiction is found in their false claim that Jack is a knight and Emma is a knight.
Jack cannot be a knight, because this would contradict the false claim of Sebastian that Daniel is a knight if and only if Jack is a knight.
Assume Jack is a knave. No contradiction is found in their false claim that Emma is a knight if and only if Sofia is a knave.
Assume Emma is a knight. No contradiction is found in their claim that Amelia is a knave or Daniel is a knight.
Amelia cannot be a knight, because this would contradict the claim of their own that Daniel is a knave.
Assume Amelia is a knave. No contradiction is found in their false claim that Daniel is a knave.
Assume Sofia is a knight. No contradiction is found in their claim that Emma is a knight or Emma is a knave.
Therefore, (1) Sebastian is a knave
(2) Amelia is a knave
(3) Sofia is a knight
(4) Jack is a knave
(5) Daniel is a knight
(6) Emma is a knight
(7) Evelyn is a knave </think>
<answer> (1) Sebastian is a knave
(2) Amelia is a knave
(3) Sofia is a knight
(4) Jack is a knave
(5) Daniel is a knight
(6) Emma is a knight
(7) Evelyn is a knave </answer>
Sebastian Amelia Sofia Jack Daniel Emma Evelyn
(1) Sebastian is a knave
(2) Amelia is a knave
(3) Sofia is a knight
(4) Jack is a knave
(5) Daniel is a knight
(6) Emma is a knight
(7) Evelyn is a knave
(('<=>', ('telling-truth', 4), ('telling-truth', 3)), ('lying', 4), ('or', ('telling-truth', 5), ('lying', 5)), ('<=>', ('telling-truth', 5), ('lying', 2)), ('->', ('telling-truth', 6), ('lying', 3)), ('or', ('lying', 1), ('telling-truth', 4)), ('and', ('telling-truth', 3), ('telling-truth', 5)))
rule