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: Henry, Michael, Sofia, Mia, Evelyn, Ella, and Joseph. Henry said, "Michael is a knave or Mia is a knight." In Michael's words: "If Mia is a knave then Ella is a knave". In a statement by Sofia: "Henry is a knight if and only if Sofia is a knight". Mia noted, "Ella is a knight or Joseph is a knave". Evelyn said that Michael is a knight or Mia is a knight. "Sofia is a knight and Henry is a knight," Ella claimed. According to Joseph, "If Henry is a knave then 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 Henry is a knight.  No contradiction is found in their claim that Michael is a knave or Mia is a knight.
 Assume Michael is a knight.  No contradiction is found in their claim that If Mia is a knave then Ella is a knave.
 Assume Mia is a knight.  No contradiction is found in their claim that Ella is a knight or Joseph is a knave.
 Assume Ella is a knight.  No contradiction is found in their claim that Sofia is a knight and Henry is a knight.
 Assume Sofia is a knight.  No contradiction is found in their claim that Henry is a knight if and only if Sofia is a knight.
 Assume Joseph is a knight.  No contradiction is found in their claim that If Henry is a knave then Mia is a knight.
 Assume Evelyn is a knight.  No contradiction is found in their claim that Michael is a knight or Mia is a knight.
 Therefore, (1) Henry is a knight
 (2) Michael is a knight
 (3) Sofia is a knight
 (4) Mia is a knight
 (5) Evelyn is a knight
 (6) Ella is a knight
 (7) Joseph 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: Henry, Michael, Sofia, Mia, Evelyn, Ella, and Joseph. Henry said, "Michael is a knave or Mia is a knight." In Michael's words: "If Mia is a knave then Ella is a knave". In a statement by Sofia: "Henry is a knight if and only if Sofia is a knight". Mia noted, "Ella is a knight or Joseph is a knave". Evelyn said that Michael is a knight or Mia is a knight. "Sofia is a knight and Henry is a knight," Ella claimed. According to Joseph, "If Henry is a knave then 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 Henry is a knight. No contradiction is found in their claim that Michael is a knave or Mia is a knight.
Assume Michael is a knight. No contradiction is found in their claim that If Mia is a knave then Ella is a knave.
Assume Mia is a knight. No contradiction is found in their claim that Ella is a knight or Joseph is a knave.
Assume Ella is a knight. No contradiction is found in their claim that Sofia is a knight and Henry is a knight.
Assume Sofia is a knight. No contradiction is found in their claim that Henry is a knight if and only if Sofia is a knight.
Assume Joseph is a knight. No contradiction is found in their claim that If Henry is a knave then Mia is a knight.
Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or Mia is a knight.
Therefore, (1) Henry is a knight
(2) Michael is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Evelyn is a knight
(6) Ella is a knight
(7) Joseph is a knight </think>
<answer> (1) Henry is a knight
(2) Michael is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Evelyn is a knight
(6) Ella is a knight
(7) Joseph is a knight </answer>
Henry Michael Sofia Mia Evelyn Ella Joseph
(1) Henry is a knight
(2) Michael is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Evelyn is a knight
(6) Ella is a knight
(7) Joseph is a knight
(('or', ('lying', 1), ('telling-truth', 3)), ('->', ('lying', 3), ('lying', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('lying', 6)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('->', ('lying', 0), ('telling-truth', 3)))
rule