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 7 inhabitants: Sofia, Matthew, Zoey, Ava, Riley, Joseph, and Chloe. Sofia remarked, "Joseph is not a knight". "Joseph is not a knave," Matthew declared. "If Joseph is a knight then Matthew is a knave," Zoey mentioned. Ava was heard saying, "If Joseph is a knight then Joseph is a knave". Riley told you that If Sofia is a knight then Joseph is a knave. According to Joseph, "Chloe is a knave if and only if Riley is a knave". Chloe said that Joseph is a knave if and only if Joseph 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 Sofia is a knight.  No contradiction is found in their claim that Joseph is not a knight.
 Joseph cannot be a knight, because this would contradict the claim of Sofia that Joseph is not a knight.
 Assume Joseph is a knave.  No contradiction is found in their false claim that Chloe is a knave if and only if Riley is a knave.
 Chloe cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Joseph is a knight.
 Assume Chloe is a knave.  No contradiction is found in their false claim that Joseph is a knave if and only if Joseph is a knight.
 Assume Riley is a knight.  No contradiction is found in their claim that If Sofia is a knight then Joseph is a knave.
 Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.
 Assume Matthew is a knave.  No contradiction is found in their false claim that Joseph is not a knave.
 Assume Zoey is a knight.  No contradiction is found in their claim that If Joseph is a knight then Matthew is a knave.
 Assume Ava is a knight.  No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.
 Therefore, (1) Sofia is a knight
 (2) Matthew is a knave
 (3) Zoey is a knight
 (4) Ava is a knight
 (5) Riley is a knight
 (6) Joseph is a knave
 (7) Chloe 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 7 inhabitants: Sofia, Matthew, Zoey, Ava, Riley, Joseph, and Chloe. Sofia remarked, "Joseph is not a knight". "Joseph is not a knave," Matthew declared. "If Joseph is a knight then Matthew is a knave," Zoey mentioned. Ava was heard saying, "If Joseph is a knight then Joseph is a knave". Riley told you that If Sofia is a knight then Joseph is a knave. According to Joseph, "Chloe is a knave if and only if Riley is a knave". Chloe said that Joseph is a knave if and only if Joseph 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 Sofia is a knight. No contradiction is found in their claim that Joseph is not a knight.
Joseph cannot be a knight, because this would contradict the claim of Sofia that Joseph is not a knight.
Assume Joseph is a knave. No contradiction is found in their false claim that Chloe is a knave if and only if Riley is a knave.
Chloe cannot be a knight, because this would contradict the claim of their own that Joseph is a knave if and only if Joseph is a knight.
Assume Chloe is a knave. No contradiction is found in their false claim that Joseph is a knave if and only if Joseph is a knight.
Assume Riley is a knight. No contradiction is found in their claim that If Sofia is a knight then Joseph is a knave.
Matthew cannot be a knight, because this would contradict the claim of their own that Joseph is not a knave.
Assume Matthew is a knave. No contradiction is found in their false claim that Joseph is not a knave.
Assume Zoey is a knight. No contradiction is found in their claim that If Joseph is a knight then Matthew is a knave.
Assume Ava is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.
Therefore, (1) Sofia is a knight
(2) Matthew is a knave
(3) Zoey is a knight
(4) Ava is a knight
(5) Riley is a knight
(6) Joseph is a knave
(7) Chloe is a knave </think>
<answer> (1) Sofia is a knight
(2) Matthew is a knave
(3) Zoey is a knight
(4) Ava is a knight
(5) Riley is a knight
(6) Joseph is a knave
(7) Chloe is a knave </answer>
Sofia Matthew Zoey Ava Riley Joseph Chloe
(1) Sofia is a knight
(2) Matthew is a knave
(3) Zoey is a knight
(4) Ava is a knight
(5) Riley is a knight
(6) Joseph is a knave
(7) Chloe is a knave
(('not', ('telling-truth', 5)), ('not', ('lying', 5)), ('->', ('telling-truth', 5), ('lying', 1)), ('->', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 0), ('lying', 5)), ('<=>', ('lying', 6), ('lying', 4)), ('<=>', ('lying', 5), ('telling-truth', 5)))
rule