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: Riley, Ella, Charlotte, Victoria, Emily, Aurora, and Elizabeth. As Riley put it, "Ella is a knight". Ella commented, "Emily is not a knight". As Charlotte put it, "Elizabeth is a knave and Ella is a knight". Victoria commented, "Emily is not a knave". "Elizabeth is a knight and Charlotte is a knave" - Emily. In a statement by Aurora: "If Victoria is a knight then Riley is a knight". "Victoria is a knave or Riley is a knave," Elizabeth declared. 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 Riley is a knight.  No contradiction is found in their claim that Ella is a knight.
 Assume Ella is a knight.  No contradiction is found in their claim that Emily is not a knight.
 Emily cannot be a knight, because this would contradict the claim of Ella that Emily is not a knight.
 Assume Emily is a knave.  No contradiction is found in their false claim that Elizabeth is a knight and Charlotte is a knave.
 Assume Elizabeth is a knight.  No contradiction is found in their claim that Victoria is a knave or Riley is a knave.
 Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.
 Assume Victoria is a knave.  No contradiction is found in their false claim that Emily is not a knave.
 Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.
 Charlotte cannot be a knave, because this would contradict the false claim of Emily that Elizabeth is a knight and Charlotte is a knave.
 We have exhausted all possibilities for Charlotte and Victoria, so let us go back and reconsider Elizabeth.
 Assume Elizabeth is a knave.  No contradiction is found in their false claim that Victoria is a knave or Riley is a knave.
 Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.
 Victoria cannot be a knave, because this would contradict the false claim of Elizabeth that Victoria is a knave or Riley is a knave.
 We have exhausted all possibilities for Victoria, Elizabeth, and Emily, so let us go back and reconsider Ella.
 Ella cannot be a knave, because this would contradict the claim of Riley that Ella is a knight.
 We have exhausted all possibilities for Ella, so let us go back and reconsider Riley.
 Assume Riley is a knave.  No contradiction is found in their false claim that Ella is a knight.
 Ella cannot be a knight, because this would contradict the false claim of Riley that Ella is a knight.
 Assume Ella is a knave.  No contradiction is found in their false claim that Emily is not a knight.
 Assume Emily is a knight.  No contradiction is found in their claim that Elizabeth is a knight and Charlotte is a knave.
 Assume Elizabeth is a knight.  No contradiction is found in their claim that Victoria is a knave or Riley is a knave.
 Assume Victoria is a knight.  No contradiction is found in their claim that Emily is not a knave.
 Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.
 Assume Charlotte is a knave.  No contradiction is found in their false claim that Elizabeth is a knave and Ella is a knight.
 Aurora cannot be a knight, because this would contradict the claim of their own that If Victoria is a knight then Riley is a knight.
 Assume Aurora is a knave.  No contradiction is found in their false claim that If Victoria is a knight then Riley is a knight.
 Therefore, (1) Riley is a knave
 (2) Ella is a knave
 (3) Charlotte is a knave
 (4) Victoria is a knight
 (5) Emily is a knight
 (6) Aurora is a knave
 (7) Elizabeth 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 7 inhabitants: Riley, Ella, Charlotte, Victoria, Emily, Aurora, and Elizabeth. As Riley put it, "Ella is a knight". Ella commented, "Emily is not a knight". As Charlotte put it, "Elizabeth is a knave and Ella is a knight". Victoria commented, "Emily is not a knave". "Elizabeth is a knight and Charlotte is a knave" - Emily. In a statement by Aurora: "If Victoria is a knight then Riley is a knight". "Victoria is a knave or Riley is a knave," Elizabeth declared. 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 Riley is a knight. No contradiction is found in their claim that Ella is a knight.
Assume Ella is a knight. No contradiction is found in their claim that Emily is not a knight.
Emily cannot be a knight, because this would contradict the claim of Ella that Emily is not a knight.
Assume Emily is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Charlotte is a knave.
Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave or Riley is a knave.
Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.
Assume Victoria is a knave. No contradiction is found in their false claim that Emily is not a knave.
Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.
Charlotte cannot be a knave, because this would contradict the false claim of Emily that Elizabeth is a knight and Charlotte is a knave.
We have exhausted all possibilities for Charlotte and Victoria, so let us go back and reconsider Elizabeth.
Assume Elizabeth is a knave. No contradiction is found in their false claim that Victoria is a knave or Riley is a knave.
Victoria cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.
Victoria cannot be a knave, because this would contradict the false claim of Elizabeth that Victoria is a knave or Riley is a knave.
We have exhausted all possibilities for Victoria, Elizabeth, and Emily, so let us go back and reconsider Ella.
Ella cannot be a knave, because this would contradict the claim of Riley that Ella is a knight.
We have exhausted all possibilities for Ella, so let us go back and reconsider Riley.
Assume Riley is a knave. No contradiction is found in their false claim that Ella is a knight.
Ella cannot be a knight, because this would contradict the false claim of Riley that Ella is a knight.
Assume Ella is a knave. No contradiction is found in their false claim that Emily is not a knight.
Assume Emily is a knight. No contradiction is found in their claim that Elizabeth is a knight and Charlotte is a knave.
Assume Elizabeth is a knight. No contradiction is found in their claim that Victoria is a knave or Riley is a knave.
Assume Victoria is a knight. No contradiction is found in their claim that Emily is not a knave.
Charlotte cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knave and Ella is a knight.
Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is a knave and Ella is a knight.
Aurora cannot be a knight, because this would contradict the claim of their own that If Victoria is a knight then Riley is a knight.
Assume Aurora is a knave. No contradiction is found in their false claim that If Victoria is a knight then Riley is a knight.
Therefore, (1) Riley is a knave
(2) Ella is a knave
(3) Charlotte is a knave
(4) Victoria is a knight
(5) Emily is a knight
(6) Aurora is a knave
(7) Elizabeth is a knight </think>
<answer> (1) Riley is a knave
(2) Ella is a knave
(3) Charlotte is a knave
(4) Victoria is a knight
(5) Emily is a knight
(6) Aurora is a knave
(7) Elizabeth is a knight </answer>
Riley Ella Charlotte Victoria Emily Aurora Elizabeth
(1) Riley is a knave
(2) Ella is a knave
(3) Charlotte is a knave
(4) Victoria is a knight
(5) Emily is a knight
(6) Aurora is a knave
(7) Elizabeth is a knight
(('telling-truth', 1), ('not', ('telling-truth', 4)), ('and', ('lying', 6), ('telling-truth', 1)), ('not', ('lying', 4)), ('and', ('telling-truth', 6), ('lying', 2)), ('->', ('telling-truth', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('lying', 0)))
rule