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: Michael, Liam, Victoria, Ella, Logan, Matthew, and Chloe. Michael stated, "Victoria is a knave and Ella is a knight". Liam expressed that Chloe is a knight if and only if Michael is a knight. As Victoria put it, "Chloe is a knight if and only if Liam is a knave". Ella stated, "Matthew is a knave if and only if Ella is a knight". "If Victoria is a knight then Logan is a knight," Logan mentioned. "If Victoria is a knave then Chloe is a knave," Matthew mentioned. Chloe stated, "Victoria is a knave or Chloe 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 Michael is a knight.  No contradiction is found in their claim that Victoria is a knave and Ella is a knight.
 Victoria cannot be a knight, because this would contradict the claim of Michael that Victoria is a knave and Ella is a knight.
 Assume Victoria is a knave.  No contradiction is found in their false claim that Chloe is a knight if and only if Liam is a knave.
 Assume Chloe is a knight.  No contradiction is found in their claim that Victoria is a knave or Chloe is a knight.
 Assume Liam is a knight.  No contradiction is found in their claim that Chloe is a knight if and only if Michael is a knight.
 Assume Ella is a knight.  No contradiction is found in their claim that Matthew is a knave if and only if Ella is a knight.
 Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is a knave if and only if Ella is a knight.
 Assume Matthew is a knave.  No contradiction is found in their false claim that If Victoria is a knave then Chloe is a knave.
 Assume Logan is a knight.  No contradiction is found in their claim that If Victoria is a knight then Logan is a knight.
 Therefore, (1) Michael is a knight
 (2) Liam is a knight
 (3) Victoria is a knave
 (4) Ella is a knight
 (5) Logan is a knight
 (6) Matthew is a knave
 (7) Chloe 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: Michael, Liam, Victoria, Ella, Logan, Matthew, and Chloe. Michael stated, "Victoria is a knave and Ella is a knight". Liam expressed that Chloe is a knight if and only if Michael is a knight. As Victoria put it, "Chloe is a knight if and only if Liam is a knave". Ella stated, "Matthew is a knave if and only if Ella is a knight". "If Victoria is a knight then Logan is a knight," Logan mentioned. "If Victoria is a knave then Chloe is a knave," Matthew mentioned. Chloe stated, "Victoria is a knave or Chloe 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 Michael is a knight. No contradiction is found in their claim that Victoria is a knave and Ella is a knight.
Victoria cannot be a knight, because this would contradict the claim of Michael that Victoria is a knave and Ella is a knight.
Assume Victoria is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Liam is a knave.
Assume Chloe is a knight. No contradiction is found in their claim that Victoria is a knave or Chloe is a knight.
Assume Liam is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Michael is a knight.
Assume Ella is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Ella is a knight.
Matthew cannot be a knight, because this would contradict the claim of Ella that Matthew is a knave if and only if Ella is a knight.
Assume Matthew is a knave. No contradiction is found in their false claim that If Victoria is a knave then Chloe is a knave.
Assume Logan is a knight. No contradiction is found in their claim that If Victoria is a knight then Logan is a knight.
Therefore, (1) Michael is a knight
(2) Liam is a knight
(3) Victoria is a knave
(4) Ella is a knight
(5) Logan is a knight
(6) Matthew is a knave
(7) Chloe is a knight </think>
<answer> (1) Michael is a knight
(2) Liam is a knight
(3) Victoria is a knave
(4) Ella is a knight
(5) Logan is a knight
(6) Matthew is a knave
(7) Chloe is a knight </answer>
Michael Liam Victoria Ella Logan Matthew Chloe
(1) Michael is a knight
(2) Liam is a knight
(3) Victoria is a knave
(4) Ella is a knight
(5) Logan is a knight
(6) Matthew is a knave
(7) Chloe is a knight
(('and', ('lying', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 6), ('telling-truth', 0)), ('<=>', ('telling-truth', 6), ('lying', 1)), ('<=>', ('lying', 5), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('->', ('lying', 2), ('lying', 6)), ('or', ('lying', 2), ('telling-truth', 6)))
rule