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: Ella, Elizabeth, Emma, David, and Victoria. "Elizabeth is a knave if and only if Ella is a knight," Ella claimed. In a statement by Elizabeth: "Emma is a knave". In a statement by Emma: "Elizabeth is a knave and Ella is a knight". In David's words: "If Emma is a knight then Elizabeth is a knight". In a statement by Victoria: "Emma is not 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 Ella is a knight.  No contradiction is found in their claim that Elizabeth is a knave if and only if Ella is a knight.
 Elizabeth cannot be a knight, because this would contradict the claim of Ella that Elizabeth is a knave if and only if Ella is a knight.
 Assume Elizabeth is a knave.  No contradiction is found in their false claim that Emma is a knave.
 Assume Emma is a knight.  No contradiction is found in their claim that Elizabeth is a knave and Ella is a knight.
 David cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Elizabeth is a knight.
 Assume David is a knave.  No contradiction is found in their false claim that If Emma is a knight then Elizabeth is a knight.
 Victoria cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.
 Assume Victoria is a knave.  No contradiction is found in their false claim that Emma is not a knight.
 Therefore, (1) Ella is a knight
 (2) Elizabeth is a knave
 (3) Emma is a knight
 (4) David is a knave
 (5) Victoria 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 5 inhabitants: Ella, Elizabeth, Emma, David, and Victoria. "Elizabeth is a knave if and only if Ella is a knight," Ella claimed. In a statement by Elizabeth: "Emma is a knave". In a statement by Emma: "Elizabeth is a knave and Ella is a knight". In David's words: "If Emma is a knight then Elizabeth is a knight". In a statement by Victoria: "Emma is not 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 Ella is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Ella is a knight.
Elizabeth cannot be a knight, because this would contradict the claim of Ella that Elizabeth is a knave if and only if Ella is a knight.
Assume Elizabeth is a knave. No contradiction is found in their false claim that Emma is a knave.
Assume Emma is a knight. No contradiction is found in their claim that Elizabeth is a knave and Ella is a knight.
David cannot be a knight, because this would contradict the claim of their own that If Emma is a knight then Elizabeth is a knight.
Assume David is a knave. No contradiction is found in their false claim that If Emma is a knight then Elizabeth is a knight.
Victoria cannot be a knight, because this would contradict the claim of their own that Emma is not a knight.
Assume Victoria is a knave. No contradiction is found in their false claim that Emma is not a knight.
Therefore, (1) Ella is a knight
(2) Elizabeth is a knave
(3) Emma is a knight
(4) David is a knave
(5) Victoria is a knave </think>
<answer> (1) Ella is a knight
(2) Elizabeth is a knave
(3) Emma is a knight
(4) David is a knave
(5) Victoria is a knave </answer>
Ella Elizabeth Emma David Victoria
(1) Ella is a knight
(2) Elizabeth is a knave
(3) Emma is a knight
(4) David is a knave
(5) Victoria is a knave
(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 2), ('and', ('lying', 1), ('telling-truth', 0)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 2)))
rule