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: Ava, Mason, Scarlett, Aria, Mia, and Benjamin. According to Ava, "Aria is not a knave". Mason commented, "Ava is a knave and Ava is a knight". Scarlett said that Aria is a knight. "Benjamin is a knight," Aria declared. As Mia put it, "Aria is a knight if and only if Aria is a knave". In a statement by Benjamin: "Benjamin is a knight or Mia is a knave". 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 Ava is a knight.  No contradiction is found in their claim that Aria is not a knave.
 Assume Aria is a knight.  No contradiction is found in their claim that Benjamin is a knight.
 Assume Benjamin is a knight.  No contradiction is found in their claim that Benjamin is a knight or Mia is a knave.
 Mia cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.
 Assume Mia is a knave.  No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.
 Mason cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.
 Assume Mason is a knave.  No contradiction is found in their false claim that Ava is a knave and Ava is a knight.
 Assume Scarlett is a knight.  No contradiction is found in their claim that Aria is a knight.
 Therefore, (1) Ava is a knight
 (2) Mason is a knave
 (3) Scarlett is a knight
 (4) Aria is a knight
 (5) Mia is a knave
 (6) Benjamin 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: Ava, Mason, Scarlett, Aria, Mia, and Benjamin. According to Ava, "Aria is not a knave". Mason commented, "Ava is a knave and Ava is a knight". Scarlett said that Aria is a knight. "Benjamin is a knight," Aria declared. As Mia put it, "Aria is a knight if and only if Aria is a knave". In a statement by Benjamin: "Benjamin is a knight or Mia is a knave". 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 Ava is a knight. No contradiction is found in their claim that Aria is not a knave.
Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight.
Assume Benjamin is a knight. No contradiction is found in their claim that Benjamin is a knight or Mia is a knave.
Mia cannot be a knight, because this would contradict the claim of their own that Aria is a knight if and only if Aria is a knave.
Assume Mia is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Aria is a knave.
Mason cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Ava is a knight.
Assume Mason is a knave. No contradiction is found in their false claim that Ava is a knave and Ava is a knight.
Assume Scarlett is a knight. No contradiction is found in their claim that Aria is a knight.
Therefore, (1) Ava is a knight
(2) Mason is a knave
(3) Scarlett is a knight
(4) Aria is a knight
(5) Mia is a knave
(6) Benjamin is a knight </think>
<answer> (1) Ava is a knight
(2) Mason is a knave
(3) Scarlett is a knight
(4) Aria is a knight
(5) Mia is a knave
(6) Benjamin is a knight </answer>
Ava Mason Scarlett Aria Mia Benjamin
(1) Ava is a knight
(2) Mason is a knave
(3) Scarlett is a knight
(4) Aria is a knight
(5) Mia is a knave
(6) Benjamin is a knight
(('not', ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('telling-truth', 3), ('telling-truth', 5), ('<=>', ('telling-truth', 3), ('lying', 3)), ('or', ('telling-truth', 5), ('lying', 4)))
rule