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: Sebastian, Liam, Grace, Daniel, Victoria, and Henry. Sebastian commented, "Henry is a knave and Victoria is a knight". In Liam's words: "Victoria is not a knight". Grace asserted: "Liam is a knave or Henry is a knight". Daniel expressed that Daniel is a knight or Liam is a knight. Victoria was heard saying, "Sebastian is a knave". "Grace is a knave or Daniel is a knight," Henry mentioned. 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 Sebastian is a knight.  No contradiction is found in their claim that Henry is a knave and Victoria is a knight.
 Henry cannot be a knight, because this would contradict the claim of Sebastian that Henry is a knave and Victoria is a knight.
 Assume Henry is a knave.  No contradiction is found in their false claim that Grace is a knave or Daniel is a knight.
 Assume Grace is a knight.  No contradiction is found in their claim that Liam is a knave or Henry is a knight.
 Liam cannot be a knight, because this would contradict the claim of Grace that Liam is a knave or Henry is a knight.
 Assume Liam is a knave.  No contradiction is found in their false claim that Victoria is not a knight.
 Victoria cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.
 Victoria cannot be a knave, because this would contradict the claim of Sebastian that Henry is a knave and Victoria is a knight.
 We have exhausted all possibilities for Victoria and Liam, so let us go back and reconsider Grace.
 Grace cannot be a knave, because this would contradict the false claim of Henry that Grace is a knave or Daniel is a knight.
 We have exhausted all possibilities for Grace and Henry, so let us go back and reconsider Sebastian.
 Assume Sebastian is a knave.  No contradiction is found in their false claim that Henry is a knave and Victoria is a knight.
 Assume Henry is a knight.  No contradiction is found in their claim that Grace is a knave or Daniel is a knight.
 Assume Grace is a knight.  No contradiction is found in their claim that Liam is a knave or Henry is a knight.
 Assume Liam is a knight.  No contradiction is found in their claim that Victoria is not a knight.
 Victoria cannot be a knight, because this would contradict the claim of Liam that Victoria is not a knight.
 Victoria cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave.
 We have exhausted all possibilities for Victoria, so let us go back and reconsider Liam.
 Assume Liam is a knave.  No contradiction is found in their false claim that Victoria is not a knight.
 Assume Victoria is a knight.  No contradiction is found in their claim that Sebastian is a knave.
 Assume Daniel is a knight.  No contradiction is found in their claim that Daniel is a knight or Liam is a knight.
 Therefore, (1) Sebastian is a knave
 (2) Liam is a knave
 (3) Grace is a knight
 (4) Daniel is a knight
 (5) Victoria is a knight
 (6) Henry 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 6 inhabitants: Sebastian, Liam, Grace, Daniel, Victoria, and Henry. Sebastian commented, "Henry is a knave and Victoria is a knight". In Liam's words: "Victoria is not a knight". Grace asserted: "Liam is a knave or Henry is a knight". Daniel expressed that Daniel is a knight or Liam is a knight. Victoria was heard saying, "Sebastian is a knave". "Grace is a knave or Daniel is a knight," Henry mentioned. 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 Sebastian is a knight. No contradiction is found in their claim that Henry is a knave and Victoria is a knight.
Henry cannot be a knight, because this would contradict the claim of Sebastian that Henry is a knave and Victoria is a knight.
Assume Henry is a knave. No contradiction is found in their false claim that Grace is a knave or Daniel is a knight.
Assume Grace is a knight. No contradiction is found in their claim that Liam is a knave or Henry is a knight.
Liam cannot be a knight, because this would contradict the claim of Grace that Liam is a knave or Henry is a knight.
Assume Liam is a knave. No contradiction is found in their false claim that Victoria is not a knight.
Victoria cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.
Victoria cannot be a knave, because this would contradict the claim of Sebastian that Henry is a knave and Victoria is a knight.
We have exhausted all possibilities for Victoria and Liam, so let us go back and reconsider Grace.
Grace cannot be a knave, because this would contradict the false claim of Henry that Grace is a knave or Daniel is a knight.
We have exhausted all possibilities for Grace and Henry, so let us go back and reconsider Sebastian.
Assume Sebastian is a knave. No contradiction is found in their false claim that Henry is a knave and Victoria is a knight.
Assume Henry is a knight. No contradiction is found in their claim that Grace is a knave or Daniel is a knight.
Assume Grace is a knight. No contradiction is found in their claim that Liam is a knave or Henry is a knight.
Assume Liam is a knight. No contradiction is found in their claim that Victoria is not a knight.
Victoria cannot be a knight, because this would contradict the claim of Liam that Victoria is not a knight.
Victoria cannot be a knave, because this would contradict the false claim of their own that Sebastian is a knave.
We have exhausted all possibilities for Victoria, so let us go back and reconsider Liam.
Assume Liam is a knave. No contradiction is found in their false claim that Victoria is not a knight.
Assume Victoria is a knight. No contradiction is found in their claim that Sebastian is a knave.
Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight or Liam is a knight.
Therefore, (1) Sebastian is a knave
(2) Liam is a knave
(3) Grace is a knight
(4) Daniel is a knight
(5) Victoria is a knight
(6) Henry is a knight </think>
<answer> (1) Sebastian is a knave
(2) Liam is a knave
(3) Grace is a knight
(4) Daniel is a knight
(5) Victoria is a knight
(6) Henry is a knight </answer>
Sebastian Liam Grace Daniel Victoria Henry
(1) Sebastian is a knave
(2) Liam is a knave
(3) Grace is a knight
(4) Daniel is a knight
(5) Victoria is a knight
(6) Henry is a knight
(('and', ('lying', 5), ('telling-truth', 4)), ('not', ('telling-truth', 4)), ('or', ('lying', 1), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('lying', 0), ('or', ('lying', 2), ('telling-truth', 3)))
rule