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 5 inhabitants: Alexander, Michael, Isabella, Riley, and Sebastian. As Alexander put it, "Sebastian is a knight and Isabella is a knight". According to Michael, "Sebastian is a knave or Riley is a knight". Isabella was heard saying, "Isabella is a knight and Michael is a knave". In Riley's words: "Sebastian is a knave or Alexander is a knight". In a statement by Sebastian: "Alexander is a knave". 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 Alexander is a knight.  No contradiction is found in their claim that Sebastian is a knight and Isabella is a knight.
 Sebastian cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.
 Sebastian cannot be a knave, because this would contradict the claim of Alexander that Sebastian is a knight and Isabella is a knight.
 We have exhausted all possibilities for Sebastian, so let us go back and reconsider Alexander.
 Assume Alexander is a knave.  No contradiction is found in their false claim that Sebastian is a knight and Isabella is a knight.
 Assume Sebastian is a knight.  No contradiction is found in their claim that Alexander is a knave.
 Isabella cannot be a knight, because this would contradict the false claim of Alexander that Sebastian is a knight and Isabella is a knight.
 Assume Isabella is a knave.  No contradiction is found in their false claim that Isabella is a knight and Michael is a knave.
 Assume Michael is a knight.  No contradiction is found in their claim that Sebastian is a knave or Riley is a knight.
 Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave or Alexander is a knight.
 Riley cannot be a knave, because this would contradict the claim of Michael that Sebastian is a knave or Riley is a knight.
 We have exhausted all possibilities for Riley, so let us go back and reconsider Michael.
 Assume Michael is a knave.  No contradiction is found in their false claim that Sebastian is a knave or Riley is a knight.
 Riley cannot be a knight, because this would contradict the false claim of Michael that Sebastian is a knave or Riley is a knight.
 Assume Riley is a knave.  No contradiction is found in their false claim that Sebastian is a knave or Alexander is a knight.
 Therefore, (1) Alexander is a knave
 (2) Michael is a knave
 (3) Isabella is a knave
 (4) Riley is a knave
 (5) Sebastian 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 5 inhabitants: Alexander, Michael, Isabella, Riley, and Sebastian. As Alexander put it, "Sebastian is a knight and Isabella is a knight". According to Michael, "Sebastian is a knave or Riley is a knight". Isabella was heard saying, "Isabella is a knight and Michael is a knave". In Riley's words: "Sebastian is a knave or Alexander is a knight". In a statement by Sebastian: "Alexander is a knave". 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 Alexander is a knight. No contradiction is found in their claim that Sebastian is a knight and Isabella is a knight.
Sebastian cannot be a knight, because this would contradict the claim of their own that Alexander is a knave.
Sebastian cannot be a knave, because this would contradict the claim of Alexander that Sebastian is a knight and Isabella is a knight.
We have exhausted all possibilities for Sebastian, so let us go back and reconsider Alexander.
Assume Alexander is a knave. No contradiction is found in their false claim that Sebastian is a knight and Isabella is a knight.
Assume Sebastian is a knight. No contradiction is found in their claim that Alexander is a knave.
Isabella cannot be a knight, because this would contradict the false claim of Alexander that Sebastian is a knight and Isabella is a knight.
Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Michael is a knave.
Assume Michael is a knight. No contradiction is found in their claim that Sebastian is a knave or Riley is a knight.
Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave or Alexander is a knight.
Riley cannot be a knave, because this would contradict the claim of Michael that Sebastian is a knave or Riley is a knight.
We have exhausted all possibilities for Riley, so let us go back and reconsider Michael.
Assume Michael is a knave. No contradiction is found in their false claim that Sebastian is a knave or Riley is a knight.
Riley cannot be a knight, because this would contradict the false claim of Michael that Sebastian is a knave or Riley is a knight.
Assume Riley is a knave. No contradiction is found in their false claim that Sebastian is a knave or Alexander is a knight.
Therefore, (1) Alexander is a knave
(2) Michael is a knave
(3) Isabella is a knave
(4) Riley is a knave
(5) Sebastian is a knight </think>
<answer> (1) Alexander is a knave
(2) Michael is a knave
(3) Isabella is a knave
(4) Riley is a knave
(5) Sebastian is a knight </answer>
Alexander Michael Isabella Riley Sebastian
(1) Alexander is a knave
(2) Michael is a knave
(3) Isabella is a knave
(4) Riley is a knave
(5) Sebastian is a knight
(('and', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('lying', 1)), ('or', ('lying', 4), ('telling-truth', 0)), ('lying', 0))
rule