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: Sebastian, Ava, and Amelia. "Amelia is a knave and Ava is a knave," Sebastian declared. "Sebastian is a knave," Ava declared. Amelia expressed that Sebastian is a knight if and only if Amelia 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 Amelia is a knave and Ava is a knave.
 Amelia cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.
 Assume Amelia is a knave.  No contradiction is found in their false claim that Sebastian is a knight if and only if Amelia is a knight.
 Ava cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.
 Assume Ava is a knave.  No contradiction is found in their false claim that Sebastian is a knave.
 Therefore, (1) Sebastian is a knight
 (2) Ava is a knave
 (3) Amelia 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: Sebastian, Ava, and Amelia. "Amelia is a knave and Ava is a knave," Sebastian declared. "Sebastian is a knave," Ava declared. Amelia expressed that Sebastian is a knight if and only if Amelia 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 Amelia is a knave and Ava is a knave.
Amelia cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.
Assume Amelia is a knave. No contradiction is found in their false claim that Sebastian is a knight if and only if Amelia is a knight.
Ava cannot be a knight, because this would contradict the claim of Sebastian that Amelia is a knave and Ava is a knave.
Assume Ava is a knave. No contradiction is found in their false claim that Sebastian is a knave.
Therefore, (1) Sebastian is a knight
(2) Ava is a knave
(3) Amelia is a knave </think>
<answer> (1) Sebastian is a knight
(2) Ava is a knave
(3) Amelia is a knave </answer>
Sebastian Ava Amelia
(1) Sebastian is a knight
(2) Ava is a knave
(3) Amelia is a knave
(('and', ('lying', 2), ('lying', 1)), ('lying', 0), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))
rule