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: Aria, Riley, Victoria, Ava, and Scarlett. "If Victoria is a knight then Scarlett is a knight," Aria mentioned. In Riley's words: "Aria is a knave". Victoria stated, "Ava is not a knight". "Aria is a knave or Riley is a knight," Ava declared. As Scarlett put it, "If Ava is a knight then Aria 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 Aria is a knight.  No contradiction is found in their claim that If Victoria is a knight then Scarlett is a knight.
 Assume Victoria is a knight.  No contradiction is found in their claim that Ava is not a knight.
 Ava cannot be a knight, because this would contradict the claim of Victoria that Ava is not a knight.
 Assume Ava is a knave.  No contradiction is found in their false claim that Aria is a knave or Riley is a knight.
 Riley cannot be a knight, because this would contradict the claim of their own that Aria is a knave.
 Assume Riley is a knave.  No contradiction is found in their false claim that Aria is a knave.
 Assume Scarlett is a knight.  No contradiction is found in their claim that If Ava is a knight then Aria is a knave.
 Therefore, (1) Aria is a knight
 (2) Riley is a knave
 (3) Victoria is a knight
 (4) Ava is a knave
 (5) Scarlett 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: Aria, Riley, Victoria, Ava, and Scarlett. "If Victoria is a knight then Scarlett is a knight," Aria mentioned. In Riley's words: "Aria is a knave". Victoria stated, "Ava is not a knight". "Aria is a knave or Riley is a knight," Ava declared. As Scarlett put it, "If Ava is a knight then Aria 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 Aria is a knight. No contradiction is found in their claim that If Victoria is a knight then Scarlett is a knight.
Assume Victoria is a knight. No contradiction is found in their claim that Ava is not a knight.
Ava cannot be a knight, because this would contradict the claim of Victoria that Ava is not a knight.
Assume Ava is a knave. No contradiction is found in their false claim that Aria is a knave or Riley is a knight.
Riley cannot be a knight, because this would contradict the claim of their own that Aria is a knave.
Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knave.
Assume Scarlett is a knight. No contradiction is found in their claim that If Ava is a knight then Aria is a knave.
Therefore, (1) Aria is a knight
(2) Riley is a knave
(3) Victoria is a knight
(4) Ava is a knave
(5) Scarlett is a knight </think>
<answer> (1) Aria is a knight
(2) Riley is a knave
(3) Victoria is a knight
(4) Ava is a knave
(5) Scarlett is a knight </answer>
Aria Riley Victoria Ava Scarlett
(1) Aria is a knight
(2) Riley is a knave
(3) Victoria is a knight
(4) Ava is a knave
(5) Scarlett is a knight
(('->', ('telling-truth', 2), ('telling-truth', 4)), ('lying', 0), ('not', ('telling-truth', 3)), ('or', ('lying', 0), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 0)))
rule