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: Abigail, Evelyn, David, Ella, Sebastian, and Henry. According to Abigail, "Ella is a knave if and only if Henry is a knave". According to Evelyn, "If Abigail is a knave then Ella is a knave". David asserted: "If Ella is a knight then Evelyn is a knave". Ella said, "Henry is not a knight." Sebastian expressed that Ella is not a knight. As Henry put it, "Sebastian is a knight and Ella 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 Abigail is a knight.  No contradiction is found in their claim that Ella is a knave if and only if Henry is a knave.
 Assume Ella is a knight.  No contradiction is found in their claim that Henry is not a knight.
 Henry cannot be a knight, because this would contradict the claim of Ella that Henry is not a knight.
 Henry cannot be a knave, because this would contradict the claim of Abigail that Ella is a knave if and only if Henry is a knave.
 We have exhausted all possibilities for Henry, so let us go back and reconsider Ella.
 Assume Ella is a knave.  No contradiction is found in their false claim that Henry is not a knight.
 Henry cannot be a knight, because this would contradict the claim of Abigail that Ella is a knave if and only if Henry is a knave.
 Henry cannot be a knave, because this would contradict the false claim of Ella that Henry is not a knight.
 We have exhausted all possibilities for Henry and Ella, so let us go back and reconsider Abigail.
 Assume Abigail is a knave.  No contradiction is found in their false claim that Ella is a knave if and only if Henry is a knave.
 Assume Ella is a knight.  No contradiction is found in their claim that Henry is not a knight.
 Henry cannot be a knight, because this would contradict the false claim of Abigail that Ella is a knave if and only if Henry is a knave.
 Assume Henry is a knave.  No contradiction is found in their false claim that Sebastian is a knight and Ella is a knight.
 Sebastian cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.
 Assume Sebastian is a knave.  No contradiction is found in their false claim that Ella is not a knight.
 Evelyn cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Ella is a knave.
 Assume Evelyn is a knave.  No contradiction is found in their false claim that If Abigail is a knave then Ella is a knave.
 Assume David is a knight.  No contradiction is found in their claim that If Ella is a knight then Evelyn is a knave.
 Therefore, (1) Abigail is a knave
 (2) Evelyn is a knave
 (3) David is a knight
 (4) Ella is a knight
 (5) Sebastian is a knave
 (6) Henry 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 6 inhabitants: Abigail, Evelyn, David, Ella, Sebastian, and Henry. According to Abigail, "Ella is a knave if and only if Henry is a knave". According to Evelyn, "If Abigail is a knave then Ella is a knave". David asserted: "If Ella is a knight then Evelyn is a knave". Ella said, "Henry is not a knight." Sebastian expressed that Ella is not a knight. As Henry put it, "Sebastian is a knight and Ella 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 Abigail is a knight. No contradiction is found in their claim that Ella is a knave if and only if Henry is a knave.
Assume Ella is a knight. No contradiction is found in their claim that Henry is not a knight.
Henry cannot be a knight, because this would contradict the claim of Ella that Henry is not a knight.
Henry cannot be a knave, because this would contradict the claim of Abigail that Ella is a knave if and only if Henry is a knave.
We have exhausted all possibilities for Henry, so let us go back and reconsider Ella.
Assume Ella is a knave. No contradiction is found in their false claim that Henry is not a knight.
Henry cannot be a knight, because this would contradict the claim of Abigail that Ella is a knave if and only if Henry is a knave.
Henry cannot be a knave, because this would contradict the false claim of Ella that Henry is not a knight.
We have exhausted all possibilities for Henry and Ella, so let us go back and reconsider Abigail.
Assume Abigail is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Henry is a knave.
Assume Ella is a knight. No contradiction is found in their claim that Henry is not a knight.
Henry cannot be a knight, because this would contradict the false claim of Abigail that Ella is a knave if and only if Henry is a knave.
Assume Henry is a knave. No contradiction is found in their false claim that Sebastian is a knight and Ella is a knight.
Sebastian cannot be a knight, because this would contradict the claim of their own that Ella is not a knight.
Assume Sebastian is a knave. No contradiction is found in their false claim that Ella is not a knight.
Evelyn cannot be a knight, because this would contradict the claim of their own that If Abigail is a knave then Ella is a knave.
Assume Evelyn is a knave. No contradiction is found in their false claim that If Abigail is a knave then Ella is a knave.
Assume David is a knight. No contradiction is found in their claim that If Ella is a knight then Evelyn is a knave.
Therefore, (1) Abigail is a knave
(2) Evelyn is a knave
(3) David is a knight
(4) Ella is a knight
(5) Sebastian is a knave
(6) Henry is a knave </think>
<answer> (1) Abigail is a knave
(2) Evelyn is a knave
(3) David is a knight
(4) Ella is a knight
(5) Sebastian is a knave
(6) Henry is a knave </answer>
Abigail Evelyn David Ella Sebastian Henry
(1) Abigail is a knave
(2) Evelyn is a knave
(3) David is a knight
(4) Ella is a knight
(5) Sebastian is a knave
(6) Henry is a knave
(('<=>', ('lying', 3), ('lying', 5)), ('->', ('lying', 0), ('lying', 3)), ('->', ('telling-truth', 3), ('lying', 1)), ('not', ('telling-truth', 5)), ('not', ('telling-truth', 3)), ('and', ('telling-truth', 4), ('telling-truth', 3)))
rule