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 3 inhabitants: Jackson, Sebastian, and Emma. As Jackson put it, "Sebastian is not a knight". Sebastian stated, "Emma is a knave". "Jackson is a knight and Sebastian 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 Jackson 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 Jackson that Sebastian is not a knight.
 Assume Sebastian is a knave.  No contradiction is found in their false claim that Emma is a knave.
 Emma cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Sebastian is a knight.
 Emma cannot be a knave, because this would contradict the false claim of Sebastian that Emma is a knave.
 We have exhausted all possibilities for Emma and Sebastian, so let us go back and reconsider Jackson.
 Assume Jackson 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 Emma is a knave.
 Emma cannot be a knight, because this would contradict the claim of Sebastian that Emma is a knave.
 Assume Emma is a knave.  No contradiction is found in their false claim that Jackson is a knight and Sebastian is a knight.
 Therefore, (1) Jackson is a knave
 (2) Sebastian is a knight
 (3) Emma 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 3 inhabitants: Jackson, Sebastian, and Emma. As Jackson put it, "Sebastian is not a knight". Sebastian stated, "Emma is a knave". "Jackson is a knight and Sebastian 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 Jackson 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 Jackson that Sebastian is not a knight.
Assume Sebastian is a knave. No contradiction is found in their false claim that Emma is a knave.
Emma cannot be a knight, because this would contradict the claim of their own that Jackson is a knight and Sebastian is a knight.
Emma cannot be a knave, because this would contradict the false claim of Sebastian that Emma is a knave.
We have exhausted all possibilities for Emma and Sebastian, so let us go back and reconsider Jackson.
Assume Jackson 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 Emma is a knave.
Emma cannot be a knight, because this would contradict the claim of Sebastian that Emma is a knave.
Assume Emma is a knave. No contradiction is found in their false claim that Jackson is a knight and Sebastian is a knight.
Therefore, (1) Jackson is a knave
(2) Sebastian is a knight
(3) Emma is a knave </think>
<answer> (1) Jackson is a knave
(2) Sebastian is a knight
(3) Emma is a knave </answer>
Jackson Sebastian Emma
(1) Jackson is a knave
(2) Sebastian is a knight
(3) Emma is a knave
(('not', ('telling-truth', 1)), ('lying', 2), ('and', ('telling-truth', 0), ('telling-truth', 1)))
rule