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 5 inhabitants: Aiden, William, Evelyn, Jackson, and Ava. "If William is a knave then Evelyn is a knight" - Aiden. William remarked, "Aiden is a knight and Ava is a knight". As Evelyn put it, "Ava is a knave and Aiden is a knave". Jackson commented, "Evelyn is not a knight". According to Ava, "William 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 Aiden is a knight.  No contradiction is found in their claim that If William is a knave then Evelyn is a knight.
 Assume William is a knight.  No contradiction is found in their claim that Aiden is a knight and Ava is a knight.
 Ava cannot be a knight, because this would contradict the claim of their own that William is a knave.
 Ava cannot be a knave, because this would contradict the claim of William that Aiden is a knight and Ava is a knight.
 We have exhausted all possibilities for Ava, so let us go back and reconsider William.
 Assume William is a knave.  No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.
 Ava cannot be a knight, because this would contradict the false claim of William that Aiden is a knight and Ava is a knight.
 Ava cannot be a knave, because this would contradict the false claim of their own that William is a knave.
 We have exhausted all possibilities for Ava and William, so let us go back and reconsider Aiden.
 Assume Aiden is a knave.  No contradiction is found in their false claim that If William is a knave then Evelyn is a knight.
 William cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.
 Assume William is a knave.  No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.
 Assume Ava is a knight.  No contradiction is found in their claim that William is a knave.
 Evelyn cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that Ava is a knave and Aiden is a knave.
 Assume Jackson is a knight.  No contradiction is found in their claim that Evelyn is not a knight.
 Therefore, (1) Aiden is a knave
 (2) William is a knave
 (3) Evelyn is a knave
 (4) Jackson is a knight
 (5) Ava 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 5 inhabitants: Aiden, William, Evelyn, Jackson, and Ava. "If William is a knave then Evelyn is a knight" - Aiden. William remarked, "Aiden is a knight and Ava is a knight". As Evelyn put it, "Ava is a knave and Aiden is a knave". Jackson commented, "Evelyn is not a knight". According to Ava, "William 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 Aiden is a knight. No contradiction is found in their claim that If William is a knave then Evelyn is a knight.
Assume William is a knight. No contradiction is found in their claim that Aiden is a knight and Ava is a knight.
Ava cannot be a knight, because this would contradict the claim of their own that William is a knave.
Ava cannot be a knave, because this would contradict the claim of William that Aiden is a knight and Ava is a knight.
We have exhausted all possibilities for Ava, so let us go back and reconsider William.
Assume William is a knave. No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.
Ava cannot be a knight, because this would contradict the false claim of William that Aiden is a knight and Ava is a knight.
Ava cannot be a knave, because this would contradict the false claim of their own that William is a knave.
We have exhausted all possibilities for Ava and William, so let us go back and reconsider Aiden.
Assume Aiden is a knave. No contradiction is found in their false claim that If William is a knave then Evelyn is a knight.
William cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.
Assume William is a knave. No contradiction is found in their false claim that Aiden is a knight and Ava is a knight.
Assume Ava is a knight. No contradiction is found in their claim that William is a knave.
Evelyn cannot be a knight, because this would contradict the false claim of Aiden that If William is a knave then Evelyn is a knight.
Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is a knave and Aiden is a knave.
Assume Jackson is a knight. No contradiction is found in their claim that Evelyn is not a knight.
Therefore, (1) Aiden is a knave
(2) William is a knave
(3) Evelyn is a knave
(4) Jackson is a knight
(5) Ava is a knight </think>
<answer> (1) Aiden is a knave
(2) William is a knave
(3) Evelyn is a knave
(4) Jackson is a knight
(5) Ava is a knight </answer>
Aiden William Evelyn Jackson Ava
(1) Aiden is a knave
(2) William is a knave
(3) Evelyn is a knave
(4) Jackson is a knight
(5) Ava is a knight
(('->', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('lying', 4), ('lying', 0)), ('not', ('telling-truth', 2)), ('lying', 1))
rule