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 4 inhabitants: Ava, Daniel, Mia, and Jacob. Ava expressed that If Mia is a knight then Jacob is a knave. Daniel said that If Mia is a knave then Daniel is a knight. Mia remarked, "If Ava is a knave then Jacob is a knight". Jacob expressed that Daniel is a knave. 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 Ava is a knight.  No contradiction is found in their claim that If Mia is a knight then Jacob is a knave.
 Assume Mia is a knight.  No contradiction is found in their claim that If Ava is a knave then Jacob is a knight.
 Jacob cannot be a knight, because this would contradict the claim of Ava that If Mia is a knight then Jacob is a knave.
 Assume Jacob is a knave.  No contradiction is found in their false claim that Daniel is a knave.
 Assume Daniel is a knight.  No contradiction is found in their claim that If Mia is a knave then Daniel is a knight.
 Therefore, (1) Ava is a knight
 (2) Daniel is a knight
 (3) Mia is a knight
 (4) Jacob 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 4 inhabitants: Ava, Daniel, Mia, and Jacob. Ava expressed that If Mia is a knight then Jacob is a knave. Daniel said that If Mia is a knave then Daniel is a knight. Mia remarked, "If Ava is a knave then Jacob is a knight". Jacob expressed that Daniel is a knave. 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 Ava is a knight. No contradiction is found in their claim that If Mia is a knight then Jacob is a knave.
Assume Mia is a knight. No contradiction is found in their claim that If Ava is a knave then Jacob is a knight.
Jacob cannot be a knight, because this would contradict the claim of Ava that If Mia is a knight then Jacob is a knave.
Assume Jacob is a knave. No contradiction is found in their false claim that Daniel is a knave.
Assume Daniel is a knight. No contradiction is found in their claim that If Mia is a knave then Daniel is a knight.
Therefore, (1) Ava is a knight
(2) Daniel is a knight
(3) Mia is a knight
(4) Jacob is a knave </think>
<answer> (1) Ava is a knight
(2) Daniel is a knight
(3) Mia is a knight
(4) Jacob is a knave </answer>
Ava Daniel Mia Jacob
(1) Ava is a knight
(2) Daniel is a knight
(3) Mia is a knight
(4) Jacob is a knave
(('->', ('telling-truth', 2), ('lying', 3)), ('->', ('lying', 2), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)), ('lying', 1))
rule