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: Emily, Ella, Scarlett, Luke, and Zoey. As Emily put it, "If Luke is a knave then Emily is a knight". "If Luke is a knight then Scarlett is a knight," Ella mentioned. Scarlett expressed that Emily is a knave. As Luke put it, "If Scarlett is a knight then Zoey is a knight". According to Zoey, "Luke is a knight if and only if Scarlett 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 Emily is a knight.  No contradiction is found in their claim that If Luke is a knave then Emily is a knight.
 Assume Luke is a knight.  No contradiction is found in their claim that If Scarlett is a knight then Zoey is a knight.
 Scarlett cannot be a knight, because this would contradict the claim of their own that Emily is a knave.
 Assume Scarlett is a knave.  No contradiction is found in their false claim that Emily is a knave.
 Assume Zoey is a knight.  No contradiction is found in their claim that Luke is a knight if and only if Scarlett is a knave.
 Ella cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Scarlett is a knight.
 Assume Ella is a knave.  No contradiction is found in their false claim that If Luke is a knight then Scarlett is a knight.
 Therefore, (1) Emily is a knight
 (2) Ella is a knave
 (3) Scarlett is a knave
 (4) Luke is a knight
 (5) Zoey 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: Emily, Ella, Scarlett, Luke, and Zoey. As Emily put it, "If Luke is a knave then Emily is a knight". "If Luke is a knight then Scarlett is a knight," Ella mentioned. Scarlett expressed that Emily is a knave. As Luke put it, "If Scarlett is a knight then Zoey is a knight". According to Zoey, "Luke is a knight if and only if Scarlett 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 Emily is a knight. No contradiction is found in their claim that If Luke is a knave then Emily is a knight.
Assume Luke is a knight. No contradiction is found in their claim that If Scarlett is a knight then Zoey is a knight.
Scarlett cannot be a knight, because this would contradict the claim of their own that Emily is a knave.
Assume Scarlett is a knave. No contradiction is found in their false claim that Emily is a knave.
Assume Zoey is a knight. No contradiction is found in their claim that Luke is a knight if and only if Scarlett is a knave.
Ella cannot be a knight, because this would contradict the claim of their own that If Luke is a knight then Scarlett is a knight.
Assume Ella is a knave. No contradiction is found in their false claim that If Luke is a knight then Scarlett is a knight.
Therefore, (1) Emily is a knight
(2) Ella is a knave
(3) Scarlett is a knave
(4) Luke is a knight
(5) Zoey is a knight </think>
<answer> (1) Emily is a knight
(2) Ella is a knave
(3) Scarlett is a knave
(4) Luke is a knight
(5) Zoey is a knight </answer>
Emily Ella Scarlett Luke Zoey
(1) Emily is a knight
(2) Ella is a knave
(3) Scarlett is a knave
(4) Luke is a knight
(5) Zoey is a knight
(('->', ('lying', 3), ('telling-truth', 0)), ('->', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 0), ('->', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 2)))
rule