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 3 inhabitants: Riley, Owen, and Emily. Riley expressed that If Riley is a knight then Emily is a knight. Owen commented, "Emily is a knight". According to Emily, "Emily is a knight if and only if Riley 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 Riley is a knight.  No contradiction is found in their claim that If Riley is a knight then Emily is a knight.
 Assume Emily is a knight.  No contradiction is found in their claim that Emily is a knight if and only if Riley is a knight.
 Assume Owen is a knight.  No contradiction is found in their claim that Emily is a knight.
 Therefore, (1) Riley is a knight
 (2) Owen is a knight
 (3) Emily 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 3 inhabitants: Riley, Owen, and Emily. Riley expressed that If Riley is a knight then Emily is a knight. Owen commented, "Emily is a knight". According to Emily, "Emily is a knight if and only if Riley 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 Riley is a knight. No contradiction is found in their claim that If Riley is a knight then Emily is a knight.
Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight if and only if Riley is a knight.
Assume Owen is a knight. No contradiction is found in their claim that Emily is a knight.
Therefore, (1) Riley is a knight
(2) Owen is a knight
(3) Emily is a knight </think>
<answer> (1) Riley is a knight
(2) Owen is a knight
(3) Emily is a knight </answer>
Riley Owen Emily
(1) Riley is a knight
(2) Owen is a knight
(3) Emily is a knight
(('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 2), ('<=>', ('telling-truth', 2), ('telling-truth', 0)))
rule