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: Sofia, Mason, Jacob, Jackson, David, Aiden, and Emma. "Mason is a knave," Sofia declared. Mason stated, "Jackson is a knave". "Emma is a knave if and only if David is a knave" - Jacob. Jackson told you that Aiden is not a knight. "Emma is a knave," David mentioned. Aiden told you that Emma is not a knave. "Mason is a knight or Jackson is a knight," Emma claimed. 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 Mason is a knave.
 Mason cannot be a knight, because this would contradict the claim of Sofia that Mason is a knave.
 Assume Mason is a knave.  No contradiction is found in their false claim that Jackson is a knave.
 Assume Jackson is a knight.  No contradiction is found in their claim that Aiden is not a knight.
 Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is not a knight.
 Assume Aiden is a knave.  No contradiction is found in their false claim that Emma is not a knave.
 Emma cannot be a knight, because this would contradict the false claim of Aiden that Emma is not a knave.
 Emma cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Jackson is a knight.
 We have exhausted all possibilities for Emma and Aiden, so let us go back and reconsider Jackson.
 Jackson cannot be a knave, because this would contradict the false claim of Mason that Jackson is a knave.
 We have exhausted all possibilities for Jackson and Mason, so let us go back and reconsider Sofia.
 Assume Sofia is a knave.  No contradiction is found in their false claim that Mason is a knave.
 Assume Mason is a knight.  No contradiction is found in their claim that Jackson is a knave.
 Jackson cannot be a knight, because this would contradict the claim of Mason that Jackson is a knave.
 Assume Jackson is a knave.  No contradiction is found in their false claim that Aiden is not a knight.
 Assume Aiden is a knight.  No contradiction is found in their claim that Emma is not a knave.
 Assume Emma is a knight.  No contradiction is found in their claim that Mason is a knight or Jackson is a knight.
 Assume Jacob is a knight.  No contradiction is found in their claim that Emma is a knave if and only if David is a knave.
 David cannot be a knight, because this would contradict the claim of their own that Emma is a knave.
 David cannot be a knave, because this would contradict the claim of Jacob that Emma is a knave if and only if David is a knave.
 We have exhausted all possibilities for David, so let us go back and reconsider Jacob.
 Assume Jacob is a knave.  No contradiction is found in their false claim that Emma is a knave if and only if David is a knave.
 David cannot be a knight, because this would contradict the false claim of Jacob that Emma is a knave if and only if David is a knave.
 Assume David is a knave.  No contradiction is found in their false claim that Emma is a knave.
 Therefore, (1) Sofia is a knave
 (2) Mason is a knight
 (3) Jacob is a knave
 (4) Jackson is a knave
 (5) David is a knave
 (6) Aiden is a knight
 (7) Emma 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: Sofia, Mason, Jacob, Jackson, David, Aiden, and Emma. "Mason is a knave," Sofia declared. Mason stated, "Jackson is a knave". "Emma is a knave if and only if David is a knave" - Jacob. Jackson told you that Aiden is not a knight. "Emma is a knave," David mentioned. Aiden told you that Emma is not a knave. "Mason is a knight or Jackson is a knight," Emma claimed. 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 Mason is a knave.
Mason cannot be a knight, because this would contradict the claim of Sofia that Mason is a knave.
Assume Mason is a knave. No contradiction is found in their false claim that Jackson is a knave.
Assume Jackson is a knight. No contradiction is found in their claim that Aiden is not a knight.
Aiden cannot be a knight, because this would contradict the claim of Jackson that Aiden is not a knight.
Assume Aiden is a knave. No contradiction is found in their false claim that Emma is not a knave.
Emma cannot be a knight, because this would contradict the false claim of Aiden that Emma is not a knave.
Emma cannot be a knave, because this would contradict the false claim of their own that Mason is a knight or Jackson is a knight.
We have exhausted all possibilities for Emma and Aiden, so let us go back and reconsider Jackson.
Jackson cannot be a knave, because this would contradict the false claim of Mason that Jackson is a knave.
We have exhausted all possibilities for Jackson and Mason, so let us go back and reconsider Sofia.
Assume Sofia is a knave. No contradiction is found in their false claim that Mason is a knave.
Assume Mason is a knight. No contradiction is found in their claim that Jackson is a knave.
Jackson cannot be a knight, because this would contradict the claim of Mason that Jackson is a knave.
Assume Jackson is a knave. No contradiction is found in their false claim that Aiden is not a knight.
Assume Aiden is a knight. No contradiction is found in their claim that Emma is not a knave.
Assume Emma is a knight. No contradiction is found in their claim that Mason is a knight or Jackson is a knight.
Assume Jacob is a knight. No contradiction is found in their claim that Emma is a knave if and only if David is a knave.
David cannot be a knight, because this would contradict the claim of their own that Emma is a knave.
David cannot be a knave, because this would contradict the claim of Jacob that Emma is a knave if and only if David is a knave.
We have exhausted all possibilities for David, so let us go back and reconsider Jacob.
Assume Jacob is a knave. No contradiction is found in their false claim that Emma is a knave if and only if David is a knave.
David cannot be a knight, because this would contradict the false claim of Jacob that Emma is a knave if and only if David is a knave.
Assume David is a knave. No contradiction is found in their false claim that Emma is a knave.
Therefore, (1) Sofia is a knave
(2) Mason is a knight
(3) Jacob is a knave
(4) Jackson is a knave
(5) David is a knave
(6) Aiden is a knight
(7) Emma is a knight </think>
<answer> (1) Sofia is a knave
(2) Mason is a knight
(3) Jacob is a knave
(4) Jackson is a knave
(5) David is a knave
(6) Aiden is a knight
(7) Emma is a knight </answer>
Sofia Mason Jacob Jackson David Aiden Emma
(1) Sofia is a knave
(2) Mason is a knight
(3) Jacob is a knave
(4) Jackson is a knave
(5) David is a knave
(6) Aiden is a knight
(7) Emma is a knight
(('lying', 1), ('lying', 3), ('<=>', ('lying', 6), ('lying', 4)), ('not', ('telling-truth', 5)), ('lying', 6), ('not', ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 3)))
rule