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: Chloe, Emily, Olivia, Isabella, Grace, and Charlotte. Chloe was heard saying, "If Chloe is a knight then Emily is a knight". Emily remarked, "Grace is a knight". Olivia told you that If Chloe is a knave then Emily is a knight. Isabella asserted: "Grace is not a knight". Grace asserted: "If Grace is a knight then Chloe is a knight". "If Charlotte is a knight then Chloe is a knight," Charlotte 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 Chloe is a knight.  No contradiction is found in their claim that If Chloe is a knight then Emily is a knight.
 Assume Emily is a knight.  No contradiction is found in their claim that Grace is a knight.
 Assume Grace is a knight.  No contradiction is found in their claim that If Grace is a knight then Chloe is a knight.
 Assume Olivia is a knight.  No contradiction is found in their claim that If Chloe is a knave then Emily is a knight.
 Isabella cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.
 Assume Isabella is a knave.  No contradiction is found in their false claim that Grace is not a knight.
 Assume Charlotte is a knight.  No contradiction is found in their claim that If Charlotte is a knight then Chloe is a knight.
 Therefore, (1) Chloe is a knight
 (2) Emily is a knight
 (3) Olivia is a knight
 (4) Isabella is a knave
 (5) Grace is a knight
 (6) Charlotte 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: Chloe, Emily, Olivia, Isabella, Grace, and Charlotte. Chloe was heard saying, "If Chloe is a knight then Emily is a knight". Emily remarked, "Grace is a knight". Olivia told you that If Chloe is a knave then Emily is a knight. Isabella asserted: "Grace is not a knight". Grace asserted: "If Grace is a knight then Chloe is a knight". "If Charlotte is a knight then Chloe is a knight," Charlotte 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 Chloe is a knight. No contradiction is found in their claim that If Chloe is a knight then Emily is a knight.
Assume Emily is a knight. No contradiction is found in their claim that Grace is a knight.
Assume Grace is a knight. No contradiction is found in their claim that If Grace is a knight then Chloe is a knight.
Assume Olivia is a knight. No contradiction is found in their claim that If Chloe is a knave then Emily is a knight.
Isabella cannot be a knight, because this would contradict the claim of their own that Grace is not a knight.
Assume Isabella is a knave. No contradiction is found in their false claim that Grace is not a knight.
Assume Charlotte is a knight. No contradiction is found in their claim that If Charlotte is a knight then Chloe is a knight.
Therefore, (1) Chloe is a knight
(2) Emily is a knight
(3) Olivia is a knight
(4) Isabella is a knave
(5) Grace is a knight
(6) Charlotte is a knight </think>
<answer> (1) Chloe is a knight
(2) Emily is a knight
(3) Olivia is a knight
(4) Isabella is a knave
(5) Grace is a knight
(6) Charlotte is a knight </answer>
Chloe Emily Olivia Isabella Grace Charlotte
(1) Chloe is a knight
(2) Emily is a knight
(3) Olivia is a knight
(4) Isabella is a knave
(5) Grace is a knight
(6) Charlotte is a knight
(('->', ('telling-truth', 0), ('telling-truth', 1)), ('telling-truth', 4), ('->', ('lying', 0), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 0)), ('->', ('telling-truth', 5), ('telling-truth', 0)))
rule