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: Evelyn, Elizabeth, Aria, Lucas, Jackson, and Sofia. Evelyn asserted: "Aria is not a knave". Elizabeth said that If Jackson is a knight then Jackson is a knave. Aria was heard saying, "Elizabeth is a knight or Lucas is a knight". Lucas expressed that Jackson is a knave if and only if Aria is a knight. Jackson commented, "Evelyn is not a knight". In Sofia's words: "Aria is not 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 Evelyn is a knight.  No contradiction is found in their claim that Aria is not a knave.
 Assume Aria is a knight.  No contradiction is found in their claim that Elizabeth is a knight or Lucas is a knight.
 Assume Elizabeth is a knight.  No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.
 Jackson cannot be a knight, because this would contradict the claim of Elizabeth that If Jackson is a knight then Jackson is a knave.
 Assume Jackson is a knave.  No contradiction is found in their false claim that Evelyn is not a knight.
 Assume Lucas is a knight.  No contradiction is found in their claim that Jackson is a knave if and only if Aria is a knight.
 Sofia cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.
 Assume Sofia is a knave.  No contradiction is found in their false claim that Aria is not a knight.
 Therefore, (1) Evelyn is a knight
 (2) Elizabeth is a knight
 (3) Aria is a knight
 (4) Lucas is a knight
 (5) Jackson is a knave
 (6) Sofia 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 6 inhabitants: Evelyn, Elizabeth, Aria, Lucas, Jackson, and Sofia. Evelyn asserted: "Aria is not a knave". Elizabeth said that If Jackson is a knight then Jackson is a knave. Aria was heard saying, "Elizabeth is a knight or Lucas is a knight". Lucas expressed that Jackson is a knave if and only if Aria is a knight. Jackson commented, "Evelyn is not a knight". In Sofia's words: "Aria is not 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 Evelyn is a knight. No contradiction is found in their claim that Aria is not a knave.
Assume Aria is a knight. No contradiction is found in their claim that Elizabeth is a knight or Lucas is a knight.
Assume Elizabeth is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.
Jackson cannot be a knight, because this would contradict the claim of Elizabeth that If Jackson is a knight then Jackson is a knave.
Assume Jackson is a knave. No contradiction is found in their false claim that Evelyn is not a knight.
Assume Lucas is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Aria is a knight.
Sofia cannot be a knight, because this would contradict the claim of their own that Aria is not a knight.
Assume Sofia is a knave. No contradiction is found in their false claim that Aria is not a knight.
Therefore, (1) Evelyn is a knight
(2) Elizabeth is a knight
(3) Aria is a knight
(4) Lucas is a knight
(5) Jackson is a knave
(6) Sofia is a knave </think>
<answer> (1) Evelyn is a knight
(2) Elizabeth is a knight
(3) Aria is a knight
(4) Lucas is a knight
(5) Jackson is a knave
(6) Sofia is a knave </answer>
Evelyn Elizabeth Aria Lucas Jackson Sofia
(1) Evelyn is a knight
(2) Elizabeth is a knight
(3) Aria is a knight
(4) Lucas is a knight
(5) Jackson is a knave
(6) Sofia is a knave
(('not', ('lying', 2)), ('->', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('<=>', ('lying', 4), ('telling-truth', 2)), ('not', ('telling-truth', 0)), ('not', ('telling-truth', 2)))
rule