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: Alexander, Luke, Henry, Chloe, Daniel, Riley, and Mia. "Mia is a knave and Mia is a knight," Alexander mentioned. Luke said that Chloe is a knave if and only if Riley is a knave. In a statement by Henry: "If Chloe is a knight then Mia is a knight". Chloe stated, "Riley is a knight and Henry is a knight". Daniel said that If Luke is a knave then Daniel is a knight. Riley expressed that Mia is not a knave. Mia noted, "Alexander is a knave or Alexander 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
Alexander cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.
 Assume Alexander is a knave.  No contradiction is found in their false claim that Mia is a knave and Mia is a knight.
 Assume Mia is a knight.  No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.
 Assume Luke is a knight.  No contradiction is found in their claim that Chloe is a knave if and only if Riley is a knave.
 Assume Chloe is a knight.  No contradiction is found in their claim that Riley is a knight and Henry is a knight.
 Assume Riley is a knight.  No contradiction is found in their claim that Mia is not a knave.
 Assume Henry is a knight.  No contradiction is found in their claim that If Chloe is a knight then Mia is a knight.
 Assume Daniel is a knight.  No contradiction is found in their claim that If Luke is a knave then Daniel is a knight.
 Therefore, (1) Alexander is a knave
 (2) Luke is a knight
 (3) Henry is a knight
 (4) Chloe is a knight
 (5) Daniel is a knight
 (6) Riley is a knight
 (7) Mia 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 7 inhabitants: Alexander, Luke, Henry, Chloe, Daniel, Riley, and Mia. "Mia is a knave and Mia is a knight," Alexander mentioned. Luke said that Chloe is a knave if and only if Riley is a knave. In a statement by Henry: "If Chloe is a knight then Mia is a knight". Chloe stated, "Riley is a knight and Henry is a knight". Daniel said that If Luke is a knave then Daniel is a knight. Riley expressed that Mia is not a knave. Mia noted, "Alexander is a knave or Alexander 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> 
Alexander cannot be a knight, because this would contradict the claim of their own that Mia is a knave and Mia is a knight.
Assume Alexander is a knave. No contradiction is found in their false claim that Mia is a knave and Mia is a knight.
Assume Mia is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.
Assume Luke is a knight. No contradiction is found in their claim that Chloe is a knave if and only if Riley is a knave.
Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knight and Henry is a knight.
Assume Riley is a knight. No contradiction is found in their claim that Mia is not a knave.
Assume Henry is a knight. No contradiction is found in their claim that If Chloe is a knight then Mia is a knight.
Assume Daniel is a knight. No contradiction is found in their claim that If Luke is a knave then Daniel is a knight.
Therefore, (1) Alexander is a knave
(2) Luke is a knight
(3) Henry is a knight
(4) Chloe is a knight
(5) Daniel is a knight
(6) Riley is a knight
(7) Mia is a knight </think>
<answer> (1) Alexander is a knave
(2) Luke is a knight
(3) Henry is a knight
(4) Chloe is a knight
(5) Daniel is a knight
(6) Riley is a knight
(7) Mia is a knight </answer>
Alexander Luke Henry Chloe Daniel Riley Mia
(1) Alexander is a knave
(2) Luke is a knight
(3) Henry is a knight
(4) Chloe is a knight
(5) Daniel is a knight
(6) Riley is a knight
(7) Mia is a knight
(('and', ('lying', 6), ('telling-truth', 6)), ('<=>', ('lying', 3), ('lying', 5)), ('->', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 5), ('telling-truth', 2)), ('->', ('lying', 1), ('telling-truth', 4)), ('not', ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 0)))
rule