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, Samuel, and Liam. "Liam is not a knave," Riley mentioned. In a statement by Samuel: "Riley is not a knave". Liam stated, "Samuel 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 Liam is not a knave.
 Assume Liam is a knight.  No contradiction is found in their claim that Samuel is a knight if and only if Riley is a knight.
 Assume Samuel is a knight.  No contradiction is found in their claim that Riley is not a knave.
 Therefore, (1) Riley is a knight
 (2) Samuel is a knight
 (3) Liam 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, Samuel, and Liam. "Liam is not a knave," Riley mentioned. In a statement by Samuel: "Riley is not a knave". Liam stated, "Samuel 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 Liam is not a knave.
Assume Liam is a knight. No contradiction is found in their claim that Samuel is a knight if and only if Riley is a knight.
Assume Samuel is a knight. No contradiction is found in their claim that Riley is not a knave.
Therefore, (1) Riley is a knight
(2) Samuel is a knight
(3) Liam is a knight </think>
<answer> (1) Riley is a knight
(2) Samuel is a knight
(3) Liam is a knight </answer>
Riley Samuel Liam
(1) Riley is a knight
(2) Samuel is a knight
(3) Liam is a knight
(('not', ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))
rule