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: Avery, Liam, Emma, Ella, Aria, and Owen. Avery said, "Liam is not a knave." In Liam's words: "Emma is a knight or Aria is a knave". According to Emma, "Avery is a knight". Ella commented, "Aria is a knave". Aria said that Ella is a knight and Ella is a knave. "Aria is not a knight," Owen declared. 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 Avery is a knight.  No contradiction is found in their claim that Liam is not a knave.
 Assume Liam is a knight.  No contradiction is found in their claim that Emma is a knight or Aria is a knave.
 Assume Emma is a knight.  No contradiction is found in their claim that Avery is a knight.
 Aria cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.
 Assume Aria is a knave.  No contradiction is found in their false claim that Ella is a knight and Ella is a knave.
 Assume Ella is a knight.  No contradiction is found in their claim that Aria is a knave.
 Assume Owen is a knight.  No contradiction is found in their claim that Aria is not a knight.
 Therefore, (1) Avery is a knight
 (2) Liam is a knight
 (3) Emma is a knight
 (4) Ella is a knight
 (5) Aria is a knave
 (6) Owen 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: Avery, Liam, Emma, Ella, Aria, and Owen. Avery said, "Liam is not a knave." In Liam's words: "Emma is a knight or Aria is a knave". According to Emma, "Avery is a knight". Ella commented, "Aria is a knave". Aria said that Ella is a knight and Ella is a knave. "Aria is not a knight," Owen declared. 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 Avery is a knight. No contradiction is found in their claim that Liam is not a knave.
Assume Liam is a knight. No contradiction is found in their claim that Emma is a knight or Aria is a knave.
Assume Emma is a knight. No contradiction is found in their claim that Avery is a knight.
Aria cannot be a knight, because this would contradict the claim of their own that Ella is a knight and Ella is a knave.
Assume Aria is a knave. No contradiction is found in their false claim that Ella is a knight and Ella is a knave.
Assume Ella is a knight. No contradiction is found in their claim that Aria is a knave.
Assume Owen is a knight. No contradiction is found in their claim that Aria is not a knight.
Therefore, (1) Avery is a knight
(2) Liam is a knight
(3) Emma is a knight
(4) Ella is a knight
(5) Aria is a knave
(6) Owen is a knight </think>
<answer> (1) Avery is a knight
(2) Liam is a knight
(3) Emma is a knight
(4) Ella is a knight
(5) Aria is a knave
(6) Owen is a knight </answer>
Avery Liam Emma Ella Aria Owen
(1) Avery is a knight
(2) Liam is a knight
(3) Emma is a knight
(4) Ella is a knight
(5) Aria is a knave
(6) Owen is a knight
(('not', ('lying', 1)), ('or', ('telling-truth', 2), ('lying', 4)), ('telling-truth', 0), ('lying', 4), ('and', ('telling-truth', 3), ('lying', 3)), ('not', ('telling-truth', 4)))
rule