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: Emily, Alexander, Sofia, Mia, Sebastian, and Henry. According to Emily, "Alexander is a knight or Mia is a knave". Alexander remarked, "Sofia is not a knave". Sofia said, "Emily is a knight if and only if Alexander is a knight." In Mia's words: "Sofia is a knave or Alexander is a knight". In a statement by Sebastian: "Sofia is a knight". Henry noted, "Alexander is a knight if and only if Mia 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 Emily is a knight.  No contradiction is found in their claim that Alexander is a knight or Mia is a knave.
 Assume Alexander is a knight.  No contradiction is found in their claim that Sofia is not a knave.
 Assume Sofia is a knight.  No contradiction is found in their claim that Emily is a knight if and only if Alexander is a knight.
 Assume Mia is a knight.  No contradiction is found in their claim that Sofia is a knave or Alexander is a knight.
 Assume Sebastian is a knight.  No contradiction is found in their claim that Sofia is a knight.
 Assume Henry is a knight.  No contradiction is found in their claim that Alexander is a knight if and only if Mia is a knight.
 Therefore, (1) Emily is a knight
 (2) Alexander is a knight
 (3) Sofia is a knight
 (4) Mia is a knight
 (5) Sebastian is a knight
 (6) Henry 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: Emily, Alexander, Sofia, Mia, Sebastian, and Henry. According to Emily, "Alexander is a knight or Mia is a knave". Alexander remarked, "Sofia is not a knave". Sofia said, "Emily is a knight if and only if Alexander is a knight." In Mia's words: "Sofia is a knave or Alexander is a knight". In a statement by Sebastian: "Sofia is a knight". Henry noted, "Alexander is a knight if and only if Mia 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 Emily is a knight. No contradiction is found in their claim that Alexander is a knight or Mia is a knave.
Assume Alexander is a knight. No contradiction is found in their claim that Sofia is not a knave.
Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight if and only if Alexander is a knight.
Assume Mia is a knight. No contradiction is found in their claim that Sofia is a knave or Alexander is a knight.
Assume Sebastian is a knight. No contradiction is found in their claim that Sofia is a knight.
Assume Henry is a knight. No contradiction is found in their claim that Alexander is a knight if and only if Mia is a knight.
Therefore, (1) Emily is a knight
(2) Alexander is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Sebastian is a knight
(6) Henry is a knight </think>
<answer> (1) Emily is a knight
(2) Alexander is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Sebastian is a knight
(6) Henry is a knight </answer>
Emily Alexander Sofia Mia Sebastian Henry
(1) Emily is a knight
(2) Alexander is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Sebastian is a knight
(6) Henry is a knight
(('or', ('telling-truth', 1), ('lying', 3)), ('not', ('lying', 2)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('or', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 2), ('<=>', ('telling-truth', 1), ('telling-truth', 3)))
rule