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: Ella, Aria, Jackson, Jacob, Harper, Ava, and Mason. Ella told you that Harper is a knight. "Jacob is not a knight" - Aria. "Mason is a knight or Jacob is a knave," Jackson claimed. Jacob told you that Aria is a knave if and only if Ava is a knave. Harper commented, "Ella is a knave if and only if Jackson is a knave". "Ella is a knight," Ava declared. "Aria is a knave and Harper is a knight," Mason mentioned. 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 Ella is a knight.  No contradiction is found in their claim that Harper is a knight.
 Assume Harper is a knight.  No contradiction is found in their claim that Ella is a knave if and only if Jackson is a knave.
 Assume Jackson is a knight.  No contradiction is found in their claim that Mason is a knight or Jacob is a knave.
 Assume Mason is a knight.  No contradiction is found in their claim that Aria is a knave and Harper is a knight.
 Aria cannot be a knight, because this would contradict the claim of Mason that Aria is a knave and Harper is a knight.
 Assume Aria is a knave.  No contradiction is found in their false claim that Jacob is not a knight.
 Assume Jacob is a knight.  No contradiction is found in their claim that Aria is a knave if and only if Ava is a knave.
 Ava cannot be a knight, because this would contradict the claim of Jacob that Aria is a knave if and only if Ava is a knave.
 Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.
 We have exhausted all possibilities for Ava, so let us go back and reconsider Jacob.
 Jacob cannot be a knave, because this would contradict the false claim of Aria that Jacob is not a knight.
 We have exhausted all possibilities for Jacob and Aria, so let us go back and reconsider Mason.
 Assume Mason is a knave.  No contradiction is found in their false claim that Aria is a knave and Harper is a knight.
 Assume Aria is a knight.  No contradiction is found in their claim that Jacob is not a knight.
 Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.
 Assume Jacob is a knave.  No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.
 Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.
 Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.
 We have exhausted all possibilities for Ava and Jacob, so let us go back and reconsider Aria.
 Aria cannot be a knave, because this would contradict the false claim of Mason that Aria is a knave and Harper is a knight.
 We have exhausted all possibilities for Aria and Mason, so let us go back and reconsider Jackson.
 Jackson cannot be a knave, because this would contradict the claim of Harper that Ella is a knave if and only if Jackson is a knave.
 We have exhausted all possibilities for Jackson, so let us go back and reconsider Harper.
 Harper cannot be a knave, because this would contradict the claim of Ella that Harper is a knight.
 We have exhausted all possibilities for Harper, so let us go back and reconsider Ella.
 Assume Ella is a knave.  No contradiction is found in their false claim that Harper is a knight.
 Harper cannot be a knight, because this would contradict the false claim of Ella that Harper is a knight.
 Assume Harper is a knave.  No contradiction is found in their false claim that Ella is a knave if and only if Jackson is a knave.
 Assume Jackson is a knight.  No contradiction is found in their claim that Mason is a knight or Jacob is a knave.
 Mason cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Harper is a knight.
 Assume Mason is a knave.  No contradiction is found in their false claim that Aria is a knave and Harper is a knight.
 Assume Aria is a knight.  No contradiction is found in their claim that Jacob is not a knight.
 Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.
 Assume Jacob is a knave.  No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.
 Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.
 Assume Ava is a knave.  No contradiction is found in their false claim that Ella is a knight.
 Therefore, (1) Ella is a knave
 (2) Aria is a knight
 (3) Jackson is a knight
 (4) Jacob is a knave
 (5) Harper is a knave
 (6) Ava is a knave
 (7) Mason is a knave
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: Ella, Aria, Jackson, Jacob, Harper, Ava, and Mason. Ella told you that Harper is a knight. "Jacob is not a knight" - Aria. "Mason is a knight or Jacob is a knave," Jackson claimed. Jacob told you that Aria is a knave if and only if Ava is a knave. Harper commented, "Ella is a knave if and only if Jackson is a knave". "Ella is a knight," Ava declared. "Aria is a knave and Harper is a knight," Mason mentioned. 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 Ella is a knight. No contradiction is found in their claim that Harper is a knight.
Assume Harper is a knight. No contradiction is found in their claim that Ella is a knave if and only if Jackson is a knave.
Assume Jackson is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave.
Assume Mason is a knight. No contradiction is found in their claim that Aria is a knave and Harper is a knight.
Aria cannot be a knight, because this would contradict the claim of Mason that Aria is a knave and Harper is a knight.
Assume Aria is a knave. No contradiction is found in their false claim that Jacob is not a knight.
Assume Jacob is a knight. No contradiction is found in their claim that Aria is a knave if and only if Ava is a knave.
Ava cannot be a knight, because this would contradict the claim of Jacob that Aria is a knave if and only if Ava is a knave.
Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.
We have exhausted all possibilities for Ava, so let us go back and reconsider Jacob.
Jacob cannot be a knave, because this would contradict the false claim of Aria that Jacob is not a knight.
We have exhausted all possibilities for Jacob and Aria, so let us go back and reconsider Mason.
Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knave and Harper is a knight.
Assume Aria is a knight. No contradiction is found in their claim that Jacob is not a knight.
Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.
Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.
Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.
Ava cannot be a knave, because this would contradict the false claim of their own that Ella is a knight.
We have exhausted all possibilities for Ava and Jacob, so let us go back and reconsider Aria.
Aria cannot be a knave, because this would contradict the false claim of Mason that Aria is a knave and Harper is a knight.
We have exhausted all possibilities for Aria and Mason, so let us go back and reconsider Jackson.
Jackson cannot be a knave, because this would contradict the claim of Harper that Ella is a knave if and only if Jackson is a knave.
We have exhausted all possibilities for Jackson, so let us go back and reconsider Harper.
Harper cannot be a knave, because this would contradict the claim of Ella that Harper is a knight.
We have exhausted all possibilities for Harper, so let us go back and reconsider Ella.
Assume Ella is a knave. No contradiction is found in their false claim that Harper is a knight.
Harper cannot be a knight, because this would contradict the false claim of Ella that Harper is a knight.
Assume Harper is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Jackson is a knave.
Assume Jackson is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave.
Mason cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Harper is a knight.
Assume Mason is a knave. No contradiction is found in their false claim that Aria is a knave and Harper is a knight.
Assume Aria is a knight. No contradiction is found in their claim that Jacob is not a knight.
Jacob cannot be a knight, because this would contradict the claim of Aria that Jacob is not a knight.
Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave if and only if Ava is a knave.
Ava cannot be a knight, because this would contradict the false claim of Jacob that Aria is a knave if and only if Ava is a knave.
Assume Ava is a knave. No contradiction is found in their false claim that Ella is a knight.
Therefore, (1) Ella is a knave
(2) Aria is a knight
(3) Jackson is a knight
(4) Jacob is a knave
(5) Harper is a knave
(6) Ava is a knave
(7) Mason is a knave </think>
<answer> (1) Ella is a knave
(2) Aria is a knight
(3) Jackson is a knight
(4) Jacob is a knave
(5) Harper is a knave
(6) Ava is a knave
(7) Mason is a knave </answer>
Ella Aria Jackson Jacob Harper Ava Mason
(1) Ella is a knave
(2) Aria is a knight
(3) Jackson is a knight
(4) Jacob is a knave
(5) Harper is a knave
(6) Ava is a knave
(7) Mason is a knave
(('telling-truth', 4), ('not', ('telling-truth', 3)), ('or', ('telling-truth', 6), ('lying', 3)), ('<=>', ('lying', 1), ('lying', 5)), ('<=>', ('lying', 0), ('lying', 2)), ('telling-truth', 0), ('and', ('lying', 1), ('telling-truth', 4)))
rule