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 6 inhabitants: Sebastian, Oliver, Mia, Elizabeth, Emily, and Ava. Sebastian stated, "Emily is not a knave". Oliver stated, "Sebastian is a knight and Sebastian is a knave". Mia noted, "Emily is not a knave". Elizabeth said that If Ava is a knave then Oliver is a knave. In Emily's words: "Ava is not a knave". In a statement by Ava: "Sebastian is a knave or Emily 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 Emily is not a knave.
 Assume Emily is a knight.  No contradiction is found in their claim that Ava is not a knave.
 Assume Ava is a knight.  No contradiction is found in their claim that Sebastian is a knave or Emily is a knight.
 Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.
 Assume Oliver is a knave.  No contradiction is found in their false claim that Sebastian is a knight and Sebastian is a knave.
 Assume Mia is a knight.  No contradiction is found in their claim that Emily is not a knave.
 Assume Elizabeth is a knight.  No contradiction is found in their claim that If Ava is a knave then Oliver is a knave.
 Therefore, (1) Sebastian is a knight
 (2) Oliver is a knave
 (3) Mia is a knight
 (4) Elizabeth is a knight
 (5) Emily is a knight
 (6) Ava 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 6 inhabitants: Sebastian, Oliver, Mia, Elizabeth, Emily, and Ava. Sebastian stated, "Emily is not a knave". Oliver stated, "Sebastian is a knight and Sebastian is a knave". Mia noted, "Emily is not a knave". Elizabeth said that If Ava is a knave then Oliver is a knave. In Emily's words: "Ava is not a knave". In a statement by Ava: "Sebastian is a knave or Emily 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 Emily is not a knave.
Assume Emily is a knight. No contradiction is found in their claim that Ava is not a knave.
Assume Ava is a knight. No contradiction is found in their claim that Sebastian is a knave or Emily is a knight.
Oliver cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Sebastian is a knave.
Assume Oliver is a knave. No contradiction is found in their false claim that Sebastian is a knight and Sebastian is a knave.
Assume Mia is a knight. No contradiction is found in their claim that Emily is not a knave.
Assume Elizabeth is a knight. No contradiction is found in their claim that If Ava is a knave then Oliver is a knave.
Therefore, (1) Sebastian is a knight
(2) Oliver is a knave
(3) Mia is a knight
(4) Elizabeth is a knight
(5) Emily is a knight
(6) Ava is a knight </think>
<answer> (1) Sebastian is a knight
(2) Oliver is a knave
(3) Mia is a knight
(4) Elizabeth is a knight
(5) Emily is a knight
(6) Ava is a knight </answer>
Sebastian Oliver Mia Elizabeth Emily Ava
(1) Sebastian is a knight
(2) Oliver is a knave
(3) Mia is a knight
(4) Elizabeth is a knight
(5) Emily is a knight
(6) Ava is a knight
(('not', ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 4)), ('->', ('lying', 5), ('lying', 1)), ('not', ('lying', 5)), ('or', ('lying', 0), ('telling-truth', 4)))
rule