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: Emma, Sebastian, Logan, and Avery. Emma stated, "If Sebastian is a knave then Logan is a knight". "Emma is a knight or Sebastian is a knight," Sebastian mentioned. Logan noted, "Emma is a knave or Sebastian is a knight". Avery said that Logan is a knight if and only if Emma 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 Emma is a knight.  No contradiction is found in their claim that If Sebastian is a knave then Logan is a knight.
 Assume Sebastian is a knight.  No contradiction is found in their claim that Emma is a knight or Sebastian is a knight.
 Assume Logan is a knight.  No contradiction is found in their claim that Emma is a knave or Sebastian is a knight.
 Assume Avery is a knight.  No contradiction is found in their claim that Logan is a knight if and only if Emma is a knight.
 Therefore, (1) Emma is a knight
 (2) Sebastian is a knight
 (3) Logan is a knight
 (4) Avery 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 4 inhabitants: Emma, Sebastian, Logan, and Avery. Emma stated, "If Sebastian is a knave then Logan is a knight". "Emma is a knight or Sebastian is a knight," Sebastian mentioned. Logan noted, "Emma is a knave or Sebastian is a knight". Avery said that Logan is a knight if and only if Emma 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 Emma is a knight. No contradiction is found in their claim that If Sebastian is a knave then Logan is a knight.
Assume Sebastian is a knight. No contradiction is found in their claim that Emma is a knight or Sebastian is a knight.
Assume Logan is a knight. No contradiction is found in their claim that Emma is a knave or Sebastian is a knight.
Assume Avery is a knight. No contradiction is found in their claim that Logan is a knight if and only if Emma is a knight.
Therefore, (1) Emma is a knight
(2) Sebastian is a knight
(3) Logan is a knight
(4) Avery is a knight </think>
<answer> (1) Emma is a knight
(2) Sebastian is a knight
(3) Logan is a knight
(4) Avery is a knight </answer>
Emma Sebastian Logan Avery
(1) Emma is a knight
(2) Sebastian is a knight
(3) Logan is a knight
(4) Avery is a knight
(('->', ('lying', 1), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))
rule