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: Emma, Joseph, Ava, Alexander, Mia, and Victoria. "Alexander is not a knave" - Emma. In Joseph's words: "Emma is a knight". Ava noted, "Victoria is not a knave". As Alexander put it, "If Ava is a knave then Alexander is a knight". Mia noted, "If Ava is a knight then Alexander is a knave". "Ava is a knight or Ava is a knave" - Victoria. 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 Emma is a knight.  No contradiction is found in their claim that Alexander is not a knave.
 Assume Alexander is a knight.  No contradiction is found in their claim that If Ava is a knave then Alexander is a knight.
 Assume Ava is a knight.  No contradiction is found in their claim that Victoria is not a knave.
 Assume Victoria is a knight.  No contradiction is found in their claim that Ava is a knight or Ava is a knave.
 Assume Joseph is a knight.  No contradiction is found in their claim that Emma is a knight.
 Mia cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Alexander is a knave.
 Assume Mia is a knave.  No contradiction is found in their false claim that If Ava is a knight then Alexander is a knave.
 Therefore, (1) Emma is a knight
 (2) Joseph is a knight
 (3) Ava is a knight
 (4) Alexander is a knight
 (5) Mia is a knave
 (6) Victoria 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: Emma, Joseph, Ava, Alexander, Mia, and Victoria. "Alexander is not a knave" - Emma. In Joseph's words: "Emma is a knight". Ava noted, "Victoria is not a knave". As Alexander put it, "If Ava is a knave then Alexander is a knight". Mia noted, "If Ava is a knight then Alexander is a knave". "Ava is a knight or Ava is a knave" - Victoria. 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 Emma is a knight. No contradiction is found in their claim that Alexander is not a knave.
Assume Alexander is a knight. No contradiction is found in their claim that If Ava is a knave then Alexander is a knight.
Assume Ava is a knight. No contradiction is found in their claim that Victoria is not a knave.
Assume Victoria is a knight. No contradiction is found in their claim that Ava is a knight or Ava is a knave.
Assume Joseph is a knight. No contradiction is found in their claim that Emma is a knight.
Mia cannot be a knight, because this would contradict the claim of their own that If Ava is a knight then Alexander is a knave.
Assume Mia is a knave. No contradiction is found in their false claim that If Ava is a knight then Alexander is a knave.
Therefore, (1) Emma is a knight
(2) Joseph is a knight
(3) Ava is a knight
(4) Alexander is a knight
(5) Mia is a knave
(6) Victoria is a knight </think>
<answer> (1) Emma is a knight
(2) Joseph is a knight
(3) Ava is a knight
(4) Alexander is a knight
(5) Mia is a knave
(6) Victoria is a knight </answer>
Emma Joseph Ava Alexander Mia Victoria
(1) Emma is a knight
(2) Joseph is a knight
(3) Ava is a knight
(4) Alexander is a knight
(5) Mia is a knave
(6) Victoria is a knight
(('not', ('lying', 3)), ('telling-truth', 0), ('not', ('lying', 5)), ('->', ('lying', 2), ('telling-truth', 3)), ('->', ('telling-truth', 2), ('lying', 3)), ('or', ('telling-truth', 2), ('lying', 2)))
rule