Search is not available for this dataset
quiz
stringlengths
280
359
names
sequencelengths
2
2
knight_knave
dict
solution
sequencelengths
2
2
solution_text
stringlengths
37
47
solution_text_format
stringlengths
39
49
cot_head
stringclasses
1 value
cot_repeat_steps
sequencelengths
2
7
cot_foot
stringclasses
1 value
statements
stringlengths
58
105
index
int64
0
99
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Oliver. Zoey remarked, "Oliver is not a knight". Oliver stated, "Oliver is a knight if and only if Zoey is a knave". So who is a knight and who is a knave?
[ "Zoey", "Oliver" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Zoey is a knave, and Oliver is a knight.
(1) Zoey is a knave (2) Oliver is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that Oliver is not a knight.", "Oliver cannot be a knight, because this would contradict the claim of Zoey that Oliver is not a knight.", "Oliver cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight if and only if Zoey is a knave.", "We have exhausted all possibilities for Oliver, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that Oliver is not a knight.", "Assume Oliver is a knight. No contradiction is found in their claim that Oliver is a knight if and only if Zoey is a knave." ]
This leads to a feasible solution.
(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))
0
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Evelyn. William stated, "If Evelyn is a knight then Evelyn is a knave". Evelyn was heard saying, "William is a knight and Evelyn is a knight". So who is a knight and who is a knave?
[ "William", "Evelyn" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
William is a knight, and Evelyn is a knave.
(1) William is a knight (2) Evelyn is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume William is a knight. No contradiction is found in their claim that If Evelyn is a knight then Evelyn is a knave.", "Evelyn cannot be a knight, because this would contradict the claim of William that If Evelyn is a knight then Evelyn is a knave.", "Assume Evelyn is a knave. No contradiction is found in their false claim that William is a knight and Evelyn is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)))
1
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Grace. "Sebastian is a knight or Grace is a knight," Sebastian claimed. Grace asserted: "Sebastian is a knave". So who is a knight and who is a knave?
[ "Sebastian", "Grace" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Sebastian is a knight, and Grace is a knave.
(1) Sebastian is a knight (2) Grace is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Grace is a knight.", "Grace cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.", "Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave." ]
This leads to a feasible solution.
(('or', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0))
2
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Jacob. As Zoey put it, "If Jacob is a knight then Zoey is a knight". Jacob told you that Zoey is not a knave. So who is a knight and who is a knave?
[ "Zoey", "Jacob" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Zoey is a knight, and Jacob is a knight.
(1) Zoey is a knight (2) Jacob is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that If Jacob is a knight then Zoey is a knight.", "Assume Jacob is a knight. No contradiction is found in their claim that Zoey is not a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0)))
3
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Jackson. David said that If Jackson is a knight then Jackson is a knave. Jackson stated, "David is a knave or David is a knight". So who is a knight and who is a knave?
[ "David", "Jackson" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
David is a knave, and Jackson is a knight.
(1) David is a knave (2) Jackson is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume David is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of David that If Jackson is a knight then Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that David is a knave or David is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that If Jackson is a knight then Jackson is a knave.", "Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or David is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0)))
4
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Jackson. As Matthew put it, "Jackson is a knave and Jackson is a knight". "Matthew is not a knight," Jackson claimed. So who is a knight and who is a knave?
[ "Matthew", "Jackson" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Matthew is a knave, and Jackson is a knight.
(1) Matthew is a knave (2) Jackson is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Matthew cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.", "Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that Matthew is not a knight." ]
This leads to a feasible solution.
(('and', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0)))
5
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Amelia. "If Amelia is a knight then Olivia is a knight," Olivia claimed. Amelia said, "Amelia is a knight if and only if Olivia is a knave." So who is a knight and who is a knave?
[ "Olivia", "Amelia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Olivia is a knave, and Amelia is a knight.
(1) Olivia is a knave (2) Amelia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Olivia is a knight. No contradiction is found in their claim that If Amelia is a knight then Olivia is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Olivia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that If Amelia is a knight then Olivia is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Olivia is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))
6
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Penelope. Owen asserted: "Penelope is a knight if and only if Penelope is a knave". Penelope noted, "Owen is not a knave". So who is a knight and who is a knave?
[ "Owen", "Penelope" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Owen is a knave, and Penelope is a knave.
(1) Owen is a knave (2) Penelope is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Owen cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume Owen is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Owen is not a knave.", "Assume Penelope is a knave. No contradiction is found in their false claim that Owen is not a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))
7
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Mia. Daniel stated, "Mia is a knight if and only if Daniel is a knight". In Mia's words: "Mia is a knight if and only if Daniel is a knave". So who is a knight and who is a knave?
[ "Daniel", "Mia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Daniel is a knave, and Mia is a knight.
(1) Daniel is a knave (2) Mia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knight.", "Mia cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Daniel is a knave.", "Mia cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight if and only if Daniel is a knight.", "We have exhausted all possibilities for Mia, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Daniel is a knight.", "Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))
8
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Sophia. "Sophia is not a knave" - James. Sophia stated, "James is a knight if and only if James is a knave". So who is a knight and who is a knave?
[ "James", "Sophia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
James is a knave, and Sophia is a knave.
(1) James is a knave (2) Sophia is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume James is a knight. No contradiction is found in their claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.", "Sophia cannot be a knave, because this would contradict the claim of James that Sophia is not a knave.", "We have exhausted all possibilities for Sophia, so let us go back and reconsider James.", "Assume James is a knave. No contradiction is found in their false claim that Sophia is not a knave.", "Sophia cannot be a knight, because this would contradict the false claim of James that Sophia is not a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))
9
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Harper. Joseph was heard saying, "Joseph is a knight if and only if Harper is a knave". Harper stated, "If Joseph is a knight then Harper is a knight". So who is a knight and who is a knave?
[ "Joseph", "Harper" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Joseph is a knight, and Harper is a knave.
(1) Joseph is a knight (2) Harper is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Harper is a knave.", "Harper cannot be a knight, because this would contradict the claim of Joseph that Joseph is a knight if and only if Harper is a knave.", "Assume Harper is a knave. No contradiction is found in their false claim that If Joseph is a knight then Harper is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))
10
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Aurora. "Aurora is not a knave," Matthew claimed. Aurora noted, "Aurora is a knight if and only if Matthew is a knave". So who is a knight and who is a knave?
[ "Matthew", "Aurora" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Matthew is a knave, and Aurora is a knave.
(1) Matthew is a knave (2) Aurora is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Matthew is a knight. No contradiction is found in their claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the claim of their own that Aurora is a knight if and only if Matthew is a knave.", "Aurora cannot be a knave, because this would contradict the claim of Matthew that Aurora is not a knave.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Matthew.", "Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is not a knave.", "Aurora cannot be a knight, because this would contradict the false claim of Matthew that Aurora is not a knave.", "Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Matthew is a knave." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))
11
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Aria. "If Aria is a knight then Aria is a knave" - Sebastian. In Aria's words: "Aria is a knight if and only if Sebastian is a knight". So who is a knight and who is a knave?
[ "Sebastian", "Aria" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Sebastian is a knight, and Aria is a knave.
(1) Sebastian is a knight (2) Aria is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Sebastian is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knave.", "Aria cannot be a knight, because this would contradict the claim of Sebastian that If Aria is a knight then Aria is a knave.", "Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Sebastian is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))
12
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Benjamin. According to Aria, "Benjamin is a knight or Aria is a knight". Benjamin remarked, "Aria is a knave". So who is a knight and who is a knave?
[ "Aria", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Aria is a knight, and Benjamin is a knave.
(1) Aria is a knight (2) Benjamin is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight or Aria is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Aria is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Aria is a knave." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0))
13
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Mason. "Mason is a knave and Jack is a knight" - Jack. As Mason put it, "Jack is a knight". So who is a knight and who is a knave?
[ "Jack", "Mason" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Jack is a knave, and Mason is a knave.
(1) Jack is a knave (2) Mason is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Jack is a knight. No contradiction is found in their claim that Mason is a knave and Jack is a knight.", "Mason cannot be a knight, because this would contradict the claim of Jack that Mason is a knave and Jack is a knight.", "Mason cannot be a knave, because this would contradict the false claim of their own that Jack is a knight.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Jack.", "Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knave and Jack is a knight.", "Mason cannot be a knight, because this would contradict the claim of their own that Jack is a knight.", "Assume Mason is a knave. No contradiction is found in their false claim that Jack is a knight." ]
This leads to a feasible solution.
(('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0))
14
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Emma. In Harper's words: "Harper is a knight or Emma is a knave". "Harper is not a knave," Emma claimed. So who is a knight and who is a knave?
[ "Harper", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Harper is a knight, and Emma is a knight.
(1) Harper is a knight (2) Emma is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight or Emma is a knave.", "Assume Emma is a knight. No contradiction is found in their claim that Harper is not a knave." ]
This leads to a feasible solution.
(('or', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0)))
15
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Grace. "Grace is a knave if and only if Jackson is a knight," Jackson claimed. As Grace put it, "Jackson is not a knave". So who is a knight and who is a knave?
[ "Jackson", "Grace" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Jackson is a knave, and Grace is a knave.
(1) Jackson is a knave (2) Grace is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Jackson is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jackson is a knight.", "Grace cannot be a knight, because this would contradict the claim of Jackson that Grace is a knave if and only if Jackson is a knight.", "Grace cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knave.", "We have exhausted all possibilities for Grace, so let us go back and reconsider Jackson.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Jackson is a knight.", "Grace cannot be a knight, because this would contradict the false claim of Jackson that Grace is a knave if and only if Jackson is a knight.", "Assume Grace is a knave. No contradiction is found in their false claim that Jackson is not a knave." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0)))
16
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. As Aiden put it, "If Aiden is a knight then Lucas is a knight". According to Lucas, "Lucas is a knight and Aiden is a knight". So who is a knight and who is a knave?
[ "Aiden", "Lucas" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Aiden is a knight, and Lucas is a knight.
(1) Aiden is a knight (2) Lucas is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Lucas is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight and Aiden is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))
17
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Olivia. Jack remarked, "Olivia is a knight and Olivia is a knave". "Jack is a knave or Olivia is a knight," Olivia claimed. So who is a knight and who is a knave?
[ "Jack", "Olivia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Jack is a knave, and Olivia is a knight.
(1) Jack is a knave (2) Olivia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Jack cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Olivia is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.", "Assume Olivia is a knight. No contradiction is found in their claim that Jack is a knave or Olivia is a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)))
18
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Benjamin. In a statement by Chloe: "If Benjamin is a knight then Benjamin is a knave". Benjamin noted, "Chloe is a knave and Chloe is a knight". So who is a knight and who is a knave?
[ "Chloe", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Chloe is a knight, and Benjamin is a knave.
(1) Chloe is a knight (2) Benjamin is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Chloe is a knight. No contradiction is found in their claim that If Benjamin is a knight then Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of Chloe that If Benjamin is a knight then Benjamin is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Chloe is a knave and Chloe is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0)))
19
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Amelia. "Sofia is a knight and Amelia is a knave," Sofia declared. Amelia noted, "If Sofia is a knave then Sofia is a knight". So who is a knight and who is a knave?
[ "Sofia", "Amelia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Sofia is a knave, and Amelia is a knave.
(1) Sofia is a knave (2) Amelia is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight and Amelia is a knave.", "Amelia cannot be a knave, because this would contradict the false claim of their own that If Sofia is a knave then Sofia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Sofia.", "Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Amelia is a knave.", "Amelia cannot be a knight, because this would contradict the claim of their own that If Sofia is a knave then Sofia is a knight.", "Assume Amelia is a knave. No contradiction is found in their false claim that If Sofia is a knave then Sofia is a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0)))
20
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Olivia. Logan was heard saying, "Logan is a knight". "If Olivia is a knight then Logan is a knight" - Olivia. So who is a knight and who is a knave?
[ "Logan", "Olivia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Logan is a knight, and Olivia is a knight.
(1) Logan is a knight (2) Olivia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight.", "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Logan is a knight." ]
This leads to a feasible solution.
(('telling-truth', 0), ('->', ('telling-truth', 1), ('telling-truth', 0)))
21
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Daniel. Harper said, "Daniel is a knave or Daniel is a knight." "Harper is a knight," Daniel declared. So who is a knight and who is a knave?
[ "Harper", "Daniel" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Harper is a knight, and Daniel is a knight.
(1) Harper is a knight (2) Daniel is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Harper is a knight. No contradiction is found in their claim that Daniel is a knave or Daniel is a knight.", "Assume Daniel is a knight. No contradiction is found in their claim that Harper is a knight." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0))
22
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Ethan. Liam stated, "Ethan is a knave if and only if Ethan is a knight". "Ethan is a knight or Liam is a knave," Ethan claimed. So who is a knight and who is a knave?
[ "Liam", "Ethan" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Liam is a knave, and Ethan is a knight.
(1) Liam is a knave (2) Ethan is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Liam cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Ethan is a knight.", "Assume Liam is a knave. No contradiction is found in their false claim that Ethan is a knave if and only if Ethan is a knight.", "Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Liam is a knave." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0)))
23
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Emma. According to Chloe, "Chloe is a knight if and only if Emma is a knight". Emma told you that Chloe is a knave. So who is a knight and who is a knave?
[ "Chloe", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Chloe is a knave, and Emma is a knight.
(1) Chloe is a knave (2) Emma is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.", "Emma cannot be a knave, because this would contradict the claim of Chloe that Chloe is a knight if and only if Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Chloe.", "Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Emma is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0))
24
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Emma. Jack commented, "Emma is a knight if and only if Jack is a knight". "Jack is a knight," Emma declared. So who is a knight and who is a knave?
[ "Jack", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Jack is a knight, and Emma is a knight.
(1) Jack is a knight (2) Emma is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jack is a knight.", "Assume Emma is a knight. No contradiction is found in their claim that Jack is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 0))
25
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Ella. "Emily is a knight," Emily mentioned. Ella said that If Ella is a knight then Emily is a knave. So who is a knight and who is a knave?
[ "Emily", "Ella" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Emily is a knave, and Ella is a knight.
(1) Emily is a knave (2) Ella is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight.", "Ella cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Emily is a knave.", "Ella cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Emily is a knave.", "We have exhausted all possibilities for Ella, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight.", "Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knave." ]
This leads to a feasible solution.
(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 0)))
26
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Lucas. In Riley's words: "Lucas is a knave or Riley is a knight". In a statement by Lucas: "Riley is a knave if and only if Lucas is a knight". So who is a knight and who is a knave?
[ "Riley", "Lucas" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Riley is a knave, and Lucas is a knight.
(1) Riley is a knave (2) Lucas is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knave or Riley is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Lucas is a knight.", "Lucas cannot be a knave, because this would contradict the false claim of their own that Riley is a knave if and only if Lucas is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Riley.", "Assume Riley is a knave. No contradiction is found in their false claim that Lucas is a knave or Riley is a knight.", "Assume Lucas is a knight. No contradiction is found in their claim that Riley is a knave if and only if Lucas is a knight." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))
27
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Samuel. Zoey said, "Samuel is a knave or Samuel is a knight." In a statement by Samuel: "Zoey is a knave if and only if Zoey is a knight". So who is a knight and who is a knave?
[ "Zoey", "Samuel" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Zoey is a knight, and Samuel is a knave.
(1) Zoey is a knight (2) Samuel is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.", "Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Zoey is a knight.", "Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Zoey is a knight." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))
28
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Henry. Avery was heard saying, "Avery is a knight and Henry is a knave". Henry commented, "Avery is a knight". So who is a knight and who is a knave?
[ "Avery", "Henry" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Avery is a knave, and Henry is a knave.
(1) Avery is a knave (2) Henry is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight and Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of Avery that Avery is a knight and Henry is a knave.", "Henry cannot be a knave, because this would contradict the false claim of their own that Avery is a knight.", "We have exhausted all possibilities for Henry, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight and Henry is a knave.", "Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knight.", "Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0))
29
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and David. Zoey stated, "David is not a knave". David noted, "David is a knight and Zoey is a knave". So who is a knight and who is a knave?
[ "Zoey", "David" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Zoey is a knave, and David is a knave.
(1) Zoey is a knave (2) David is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that David is not a knave.", "David cannot be a knight, because this would contradict the claim of their own that David is a knight and Zoey is a knave.", "David cannot be a knave, because this would contradict the claim of Zoey that David is not a knave.", "We have exhausted all possibilities for David, so let us go back and reconsider Zoey.", "Assume Zoey is a knave. No contradiction is found in their false claim that David is not a knave.", "David cannot be a knight, because this would contradict the false claim of Zoey that David is not a knave.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Zoey is a knave." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 0)))
30
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Evelyn. "If Evelyn is a knave then Daniel is a knight," Daniel declared. Evelyn stated, "Daniel is a knave if and only if Evelyn is a knight". So who is a knight and who is a knave?
[ "Daniel", "Evelyn" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Daniel is a knave, and Evelyn is a knave.
(1) Daniel is a knave (2) Evelyn is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knave then Daniel is a knight.", "Evelyn cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Evelyn is a knight.", "Evelyn cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave if and only if Evelyn is a knight.", "We have exhausted all possibilities for Evelyn, so let us go back and reconsider Daniel.", "Assume Daniel is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Daniel is a knight.", "Evelyn cannot be a knight, because this would contradict the false claim of Daniel that If Evelyn is a knave then Daniel is a knight.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Evelyn is a knight." ]
This leads to a feasible solution.
(('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))
31
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Chloe. According to Owen, "Chloe is not a knave". Chloe commented, "Owen is a knight if and only if Chloe is a knight". So who is a knight and who is a knave?
[ "Owen", "Chloe" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Owen is a knight, and Chloe is a knight.
(1) Owen is a knight (2) Chloe is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Owen is a knight. No contradiction is found in their claim that Chloe is not a knave.", "Assume Chloe is a knight. No contradiction is found in their claim that Owen is a knight if and only if Chloe is a knight." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))
32
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Ella. "If Olivia is a knight then Ella is a knave," Olivia mentioned. Ella said that Ella is a knight or Olivia is a knave. So who is a knight and who is a knave?
[ "Olivia", "Ella" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Olivia is a knight, and Ella is a knave.
(1) Olivia is a knight (2) Ella is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Ella is a knave.", "Ella cannot be a knight, because this would contradict the claim of Olivia that If Olivia is a knight then Ella is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Ella is a knight or Olivia is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0)))
33
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Matthew. As David put it, "David is a knight and Matthew is a knight". Matthew said, "David is not a knight." So who is a knight and who is a knave?
[ "David", "Matthew" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
David is a knave, and Matthew is a knight.
(1) David is a knave (2) Matthew is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume David is a knight. No contradiction is found in their claim that David is a knight and Matthew is a knight.", "Matthew cannot be a knight, because this would contradict the claim of their own that David is not a knight.", "Matthew cannot be a knave, because this would contradict the claim of David that David is a knight and Matthew is a knight.", "We have exhausted all possibilities for Matthew, so let us go back and reconsider David.", "Assume David is a knave. No contradiction is found in their false claim that David is a knight and Matthew is a knight.", "Assume Matthew is a knight. No contradiction is found in their claim that David is not a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)))
34
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Benjamin. Abigail noted, "Benjamin is a knight or Benjamin is a knave". In a statement by Benjamin: "Abigail is a knave". So who is a knight and who is a knave?
[ "Abigail", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Abigail is a knight, and Benjamin is a knave.
(1) Abigail is a knight (2) Benjamin is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('lying', 1)), ('lying', 0))
35
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and William. Zoey commented, "William is not a knight". "William is a knight if and only if Zoey is a knight," William declared. So who is a knight and who is a knave?
[ "Zoey", "William" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Zoey is a knight, and William is a knave.
(1) Zoey is a knight (2) William is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that William is not a knight.", "William cannot be a knight, because this would contradict the claim of Zoey that William is not a knight.", "Assume William is a knave. No contradiction is found in their false claim that William is a knight if and only if Zoey is a knight." ]
This leads to a feasible solution.
(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))
36
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Aurora. "Aurora is a knight or Aurora is a knave" - Evelyn. "Evelyn is not a knave" - Aurora. So who is a knight and who is a knave?
[ "Evelyn", "Aurora" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Evelyn is a knight, and Aurora is a knight.
(1) Evelyn is a knight (2) Aurora is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Evelyn is a knight. No contradiction is found in their claim that Aurora is a knight or Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Evelyn is not a knave." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0)))
37
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jacob, and Victoria. "Victoria is a knave if and only if Jacob is a knight," Jacob claimed. Victoria was heard saying, "Victoria is a knight or Jacob is a knight". So who is a knight and who is a knave?
[ "Jacob", "Victoria" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Jacob is a knave, and Victoria is a knave.
(1) Jacob is a knave (2) Victoria is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Jacob is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Jacob is a knight.", "Victoria cannot be a knight, because this would contradict the claim of Jacob that Victoria is a knave if and only if Jacob is a knight.", "Victoria cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Jacob is a knight.", "We have exhausted all possibilities for Victoria, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Jacob is a knight.", "Victoria cannot be a knight, because this would contradict the false claim of Jacob that Victoria is a knave if and only if Jacob is a knight.", "Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Jacob is a knight." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0)))
38
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lily. Aiden asserted: "Lily is a knave". Lily stated, "Aiden is a knight and Aiden is a knave". So who is a knight and who is a knave?
[ "Aiden", "Lily" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Aiden is a knight, and Lily is a knave.
(1) Aiden is a knight (2) Lily is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Aiden is a knight. No contradiction is found in their claim that Lily is a knave.", "Lily cannot be a knight, because this would contradict the claim of Aiden that Lily is a knave.", "Assume Lily is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave." ]
This leads to a feasible solution.
(('lying', 1), ('and', ('telling-truth', 0), ('lying', 0)))
39
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and James. Emily was heard saying, "If Emily is a knight then James is a knight". James stated, "Emily is not a knave". So who is a knight and who is a knave?
[ "Emily", "James" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Emily is a knight, and James is a knight.
(1) Emily is a knight (2) James is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then James is a knight.", "Assume James is a knight. No contradiction is found in their claim that Emily is not a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0)))
40
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Ava. "Ava is not a knight" - Evelyn. Ava noted, "Evelyn is a knight or Ava is a knight". So who is a knight and who is a knave?
[ "Evelyn", "Ava" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Evelyn is a knave, and Ava is a knight.
(1) Evelyn is a knave (2) Ava is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Evelyn 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 Evelyn that Ava is not a knight.", "Ava cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Ava is a knight.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Evelyn.", "Assume Evelyn is a knave. No contradiction is found in their false claim that Ava is not a knight.", "Assume Ava is a knight. No contradiction is found in their claim that Evelyn is a knight or Ava is a knight." ]
This leads to a feasible solution.
(('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1)))
41
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Jacob. Ethan said, "Jacob is a knight if and only if Jacob is a knave." Jacob asserted: "Ethan is a knave". So who is a knight and who is a knave?
[ "Ethan", "Jacob" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Ethan is a knave, and Jacob is a knight.
(1) Ethan is a knave (2) Jacob is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Ethan cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.", "Assume Ethan is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave.", "Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('lying', 1)), ('lying', 0))
42
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Owen. "Owen is not a knave," Charlotte mentioned. According to Owen, "Charlotte is a knave or Owen is a knight". So who is a knight and who is a knave?
[ "Charlotte", "Owen" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Charlotte is a knight, and Owen is a knight.
(1) Charlotte is a knight (2) Owen is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Charlotte is a knight. No contradiction is found in their claim that Owen is not a knave.", "Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave or Owen is a knight." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1)))
43
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Jackson. Grace said that Grace is a knight if and only if Jackson is a knave. Jackson noted, "Grace is a knave if and only if Jackson is a knight". So who is a knight and who is a knave?
[ "Grace", "Jackson" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Grace is a knave, and Jackson is a knave.
(1) Grace is a knave (2) Jackson is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the claim of Grace that Grace is a knight if and only if Jackson is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that Grace is a knave if and only if Jackson is a knight.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Grace.", "Assume Grace is a knave. No contradiction is found in their false claim that Grace is a knight if and only if Jackson is a knave.", "Jackson cannot be a knight, because this would contradict the false claim of Grace that Grace is a knight if and only if Jackson is a knave.", "Assume Jackson is a knave. No contradiction is found in their false claim that Grace is a knave if and only if Jackson is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))
44
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Chloe. In a statement by Ethan: "Chloe is a knave or Ethan is a knight". In a statement by Chloe: "Ethan is a knave and Ethan is a knight". So who is a knight and who is a knave?
[ "Ethan", "Chloe" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Ethan is a knight, and Chloe is a knave.
(1) Ethan is a knight (2) Chloe is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knave or Ethan is a knight.", "Chloe cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))
45
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Zoey. "Zoey is a knave or Zoey is a knight," Grace mentioned. "Grace is a knave," Zoey claimed. So who is a knight and who is a knave?
[ "Grace", "Zoey" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Grace is a knight, and Zoey is a knave.
(1) Grace is a knight (2) Zoey is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Grace is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight.", "Zoey cannot be a knight, because this would contradict the claim of their own that Grace is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Grace is a knave." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 1)), ('lying', 0))
46
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Aria. Noah noted, "Aria is a knight and Noah is a knight". According to Aria, "Noah is a knave and Noah is a knight". So who is a knight and who is a knave?
[ "Noah", "Aria" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Noah is a knave, and Aria is a knave.
(1) Noah is a knave (2) Aria is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Noah is a knight. No contradiction is found in their claim that Aria is a knight and Noah is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knight.", "Aria cannot be a knave, because this would contradict the claim of Noah that Aria is a knight and Noah is a knight.", "We have exhausted all possibilities for Aria, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Aria is a knight and Noah is a knight.", "Aria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knight.", "Assume Aria is a knave. No contradiction is found in their false claim that Noah is a knave and Noah is a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))
47
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Alexander. "If Alexander is a knight then Alexander is a knave," Owen claimed. Alexander remarked, "Owen is a knight if and only if Alexander is a knight". So who is a knight and who is a knave?
[ "Owen", "Alexander" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Owen is a knight, and Alexander is a knave.
(1) Owen is a knight (2) Alexander is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Owen is a knight. No contradiction is found in their claim that If Alexander is a knight then Alexander is a knave.", "Alexander cannot be a knight, because this would contradict the claim of Owen that If Alexander is a knight then Alexander is a knave.", "Assume Alexander is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Alexander is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))
48
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Joseph. "If Joseph is a knight then Joseph is a knave," Avery mentioned. Joseph stated, "Avery is a knave if and only if Avery is a knight". So who is a knight and who is a knave?
[ "Avery", "Joseph" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Avery is a knight, and Joseph is a knave.
(1) Avery is a knight (2) Joseph is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Avery is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.", "Joseph cannot be a knight, because this would contradict the claim of Avery that If Joseph is a knight then Joseph is a knave.", "Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Avery is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))
49
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Sophia. According to James, "Sophia is a knight and Sophia is a knave". Sophia said, "If James is a knight then James is a knave." So who is a knight and who is a knave?
[ "James", "Sophia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
James is a knave, and Sophia is a knight.
(1) James is a knave (2) Sophia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "James cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.", "Assume James is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.", "Assume Sophia is a knight. No contradiction is found in their claim that If James is a knight then James is a knave." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)))
50
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Benjamin. Noah expressed that Benjamin is not a knave. Benjamin said that Noah is a knave if and only if Noah is a knight. So who is a knight and who is a knave?
[ "Noah", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Noah is a knave, and Benjamin is a knave.
(1) Noah is a knave (2) Benjamin is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Noah is a knight. No contradiction is found in their claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Noah is a knave if and only if Noah is a knight.", "Benjamin cannot be a knave, because this would contradict the claim of Noah that Benjamin is not a knave.", "We have exhausted all possibilities for Benjamin, so let us go back and reconsider Noah.", "Assume Noah is a knave. No contradiction is found in their false claim that Benjamin is not a knave.", "Benjamin cannot be a knight, because this would contradict the false claim of Noah that Benjamin is not a knave.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Noah is a knight." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))
51
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Sophia. Elizabeth told you that Sophia is a knave or Elizabeth is a knight. "Elizabeth is a knight if and only if Elizabeth is a knave" - Sophia. So who is a knight and who is a knave?
[ "Elizabeth", "Sophia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Elizabeth is a knight, and Sophia is a knave.
(1) Elizabeth is a knight (2) Sophia is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knave or Elizabeth is a knight.", "Sophia cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight if and only if Elizabeth is a knave.", "Assume Sophia is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))
52
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Sebastian. William said that Sebastian is a knight. Sebastian was heard saying, "William is a knight or William is a knave". So who is a knight and who is a knave?
[ "William", "Sebastian" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
William is a knight, and Sebastian is a knight.
(1) William is a knight (2) Sebastian is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume William is a knight. No contradiction is found in their claim that Sebastian is a knight.", "Assume Sebastian is a knight. No contradiction is found in their claim that William is a knight or William is a knave." ]
This leads to a feasible solution.
(('telling-truth', 1), ('or', ('telling-truth', 0), ('lying', 0)))
53
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Evelyn. Liam said, "Evelyn is a knight." "Evelyn is a knight if and only if Liam is a knight," Evelyn claimed. So who is a knight and who is a knave?
[ "Liam", "Evelyn" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Liam is a knight, and Evelyn is a knight.
(1) Liam is a knight (2) Evelyn is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Liam is a knight. No contradiction is found in their claim that Evelyn is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Liam is a knight." ]
This leads to a feasible solution.
(('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))
54
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Michael. In a statement by Mason: "Michael is a knight or Michael is a knave". "If Michael is a knight then Mason is a knight," Michael mentioned. So who is a knight and who is a knave?
[ "Mason", "Michael" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Mason is a knight, and Michael is a knight.
(1) Mason is a knight (2) Michael is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave.", "Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Mason is a knight." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0)))
55
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Jackson. Scarlett was heard saying, "If Jackson is a knight then Scarlett is a knight". "If Jackson is a knight then Scarlett is a knave," Jackson claimed. So who is a knight and who is a knave?
[ "Scarlett", "Jackson" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Scarlett is a knave, and Jackson is a knight.
(1) Scarlett is a knave (2) Jackson is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Scarlett is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knight.", "Jackson cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Scarlett is a knave.", "Jackson cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Scarlett is a knave.", "We have exhausted all possibilities for Jackson, so let us go back and reconsider Scarlett.", "Assume Scarlett is a knave. No contradiction is found in their false claim that If Jackson is a knight then Scarlett is a knight.", "Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0)))
56
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Amelia. "If Amelia is a knight then Penelope is a knight" - Penelope. "Penelope is a knave if and only if Amelia is a knight" - Amelia. So who is a knight and who is a knave?
[ "Penelope", "Amelia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Penelope is a knave, and Amelia is a knight.
(1) Penelope is a knave (2) Amelia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Penelope is a knight. No contradiction is found in their claim that If Amelia is a knight then Penelope is a knight.", "Amelia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Amelia is a knight.", "Amelia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave if and only if Amelia is a knight.", "We have exhausted all possibilities for Amelia, so let us go back and reconsider Penelope.", "Assume Penelope is a knave. No contradiction is found in their false claim that If Amelia is a knight then Penelope is a knight.", "Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Amelia is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1)))
57
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Sebastian. Chloe stated, "Sebastian is not a knave". "If Chloe is a knight then Sebastian is a knight," Sebastian mentioned. So who is a knight and who is a knave?
[ "Chloe", "Sebastian" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Chloe is a knight, and Sebastian is a knight.
(1) Chloe is a knight (2) Sebastian is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Chloe is a knight. No contradiction is found in their claim that Sebastian is not a knave.", "Assume Sebastian is a knight. No contradiction is found in their claim that If Chloe is a knight then Sebastian is a knight." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))
58
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Alexander. According to Penelope, "Alexander is a knave if and only if Penelope is a knight". Alexander noted, "Penelope is a knave". So who is a knight and who is a knave?
[ "Penelope", "Alexander" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Penelope is a knight, and Alexander is a knave.
(1) Penelope is a knight (2) Alexander is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Penelope is a knight.", "Alexander cannot be a knight, because this would contradict the claim of Penelope that Alexander is a knave if and only if Penelope is a knight.", "Assume Alexander is a knave. No contradiction is found in their false claim that Penelope is a knave." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 0))
59
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Emma. "Isabella is a knight and Emma is a knight" - Isabella. In Emma's words: "Isabella is a knight if and only if Isabella is a knave". So who is a knight and who is a knave?
[ "Isabella", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Isabella is a knave, and Emma is a knave.
(1) Isabella is a knave (2) Emma is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Emma cannot be a knave, because this would contradict the claim of Isabella that Isabella is a knight and Emma is a knight.", "We have exhausted all possibilities for Emma, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave." ]
This leads to a feasible solution.
(('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))
60
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Benjamin. Ethan was heard saying, "If Benjamin is a knight then Ethan is a knight". Benjamin expressed that Ethan is a knave and Ethan is a knight. So who is a knight and who is a knave?
[ "Ethan", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Ethan is a knight, and Benjamin is a knave.
(1) Ethan is a knight (2) Benjamin is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Ethan is a knight. No contradiction is found in their claim that If Benjamin is a knight then Ethan is a knight.", "Benjamin cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)))
61
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Charlotte. Scarlett expressed that Scarlett is a knight if and only if Charlotte is a knave. "Scarlett is a knight if and only if Charlotte is a knight" - Charlotte. So who is a knight and who is a knave?
[ "Scarlett", "Charlotte" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Scarlett is a knight, and Charlotte is a knave.
(1) Scarlett is a knight (2) Charlotte is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Charlotte is a knave.", "Charlotte cannot be a knight, because this would contradict the claim of Scarlett that Scarlett is a knight if and only if Charlotte is a knave.", "Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Charlotte is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))
62
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Harper. As Elizabeth put it, "Harper is a knight and Elizabeth is a knight". "Elizabeth is not a knight," Harper mentioned. So who is a knight and who is a knave?
[ "Elizabeth", "Harper" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Elizabeth is a knave, and Harper is a knight.
(1) Elizabeth is a knave (2) Harper is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is a knight and Elizabeth is a knight.", "Harper cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.", "Harper cannot be a knave, because this would contradict the claim of Elizabeth that Harper is a knight and Elizabeth is a knight.", "We have exhausted all possibilities for Harper, so let us go back and reconsider Elizabeth.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knight and Elizabeth is a knight.", "Assume Harper is a knight. No contradiction is found in their claim that Elizabeth is not a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)))
63
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Aiden. According to Evelyn, "Aiden is a knight". Aiden expressed that Aiden is a knight or Evelyn is a knave. So who is a knight and who is a knave?
[ "Evelyn", "Aiden" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Evelyn is a knight, and Aiden is a knight.
(1) Evelyn is a knight (2) Aiden is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Evelyn is a knight. No contradiction is found in their claim that Aiden is a knight.", "Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight or Evelyn is a knave." ]
This leads to a feasible solution.
(('telling-truth', 1), ('or', ('telling-truth', 1), ('lying', 0)))
64
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Noah. "Noah is a knave and Henry is a knight," Henry claimed. As Noah put it, "Henry is a knave or Henry is a knight". So who is a knight and who is a knave?
[ "Henry", "Noah" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Henry is a knave, and Noah is a knight.
(1) Henry is a knave (2) Noah is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Henry is a knight. No contradiction is found in their claim that Noah is a knave and Henry is a knight.", "Noah cannot be a knight, because this would contradict the claim of Henry that Noah is a knave and Henry is a knight.", "Noah cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Henry is a knight.", "We have exhausted all possibilities for Noah, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave and Henry is a knight.", "Assume Noah is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight." ]
This leads to a feasible solution.
(('and', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)))
65
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jacob, and Aurora. Jacob told you that Aurora is a knave. Aurora was heard saying, "Aurora is a knight or Jacob is a knight". So who is a knight and who is a knave?
[ "Jacob", "Aurora" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Jacob is a knave, and Aurora is a knight.
(1) Jacob is a knave (2) Aurora is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Jacob is a knight. No contradiction is found in their claim that Aurora is a knave.", "Aurora cannot be a knight, because this would contradict the claim of Jacob that Aurora is a knave.", "Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Jacob is a knight.", "We have exhausted all possibilities for Aurora, so let us go back and reconsider Jacob.", "Assume Jacob is a knave. No contradiction is found in their false claim that Aurora is a knave.", "Assume Aurora is a knight. No contradiction is found in their claim that Aurora is a knight or Jacob is a knight." ]
This leads to a feasible solution.
(('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 0)))
66
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Ava. In a statement by Liam: "If Ava is a knight then Ava is a knave". "If Ava is a knight then Liam is a knave" - Ava. So who is a knight and who is a knave?
[ "Liam", "Ava" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Liam is a knave, and Ava is a knight.
(1) Liam is a knave (2) Ava is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Liam is a knight. No contradiction is found in their claim that If Ava is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Liam that If Ava is a knight then Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Liam is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.", "Assume Liam is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Liam is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0)))
67
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Jacob. Elizabeth asserted: "Jacob is a knave". Jacob told you that Jacob is a knight if and only if Elizabeth is a knight. So who is a knight and who is a knave?
[ "Elizabeth", "Jacob" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Elizabeth is a knight, and Jacob is a knave.
(1) Elizabeth is a knight (2) Jacob is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knave.", "Jacob cannot be a knight, because this would contradict the claim of Elizabeth that Jacob is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Elizabeth is a knight." ]
This leads to a feasible solution.
(('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0)))
68
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Jack. Avery said, "Avery is a knight if and only if Jack is a knight." As Jack put it, "If Avery is a knave then Avery is a knight". So who is a knight and who is a knave?
[ "Avery", "Jack" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Avery is a knight, and Jack is a knight.
(1) Avery is a knight (2) Jack is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight if and only if Jack is a knight.", "Assume Jack is a knight. No contradiction is found in their claim that If Avery is a knave then Avery is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0)))
69
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and James. Zoey noted, "James is not a knight". James was heard saying, "Zoey is a knight and Zoey is a knave". So who is a knight and who is a knave?
[ "Zoey", "James" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Zoey is a knight, and James is a knave.
(1) Zoey is a knight (2) James is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Zoey is a knight. No contradiction is found in their claim that James is not a knight.", "James cannot be a knight, because this would contradict the claim of Zoey that James is not a knight.", "Assume James is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave." ]
This leads to a feasible solution.
(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0)))
70
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Penelope. In a statement by Ella: "Penelope is a knight if and only if Penelope is a knave". According to Penelope, "If Ella is a knight then Ella is a knave". So who is a knight and who is a knave?
[ "Ella", "Penelope" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Ella is a knave, and Penelope is a knight.
(1) Ella is a knave (2) Penelope is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Ella cannot be a knight, because this would contradict the claim of their own that Penelope is a knight if and only if Penelope is a knave.", "Assume Ella is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.", "Assume Penelope is a knight. No contradiction is found in their claim that If Ella is a knight then Ella is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0)))
71
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Ava. According to Oliver, "If Oliver is a knight then Ava is a knave". Ava commented, "Oliver is a knave if and only if Oliver is a knight". So who is a knight and who is a knave?
[ "Oliver", "Ava" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Oliver is a knight, and Ava is a knave.
(1) Oliver is a knight (2) Ava is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Oliver that If Oliver is a knight then Ava is a knave.", "Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0)))
72
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Owen. Isabella asserted: "Owen is a knight if and only if Isabella is a knight". "Isabella is a knave and Owen is a knight," Owen claimed. So who is a knight and who is a knave?
[ "Isabella", "Owen" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Isabella is a knave, and Owen is a knight.
(1) Isabella is a knave (2) Owen is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Isabella is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knight.", "Owen cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Owen is a knight.", "Owen cannot be a knave, because this would contradict the claim of Isabella that Owen is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Owen, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Isabella is a knight.", "Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knave and Owen is a knight." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 1)))
73
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Lily. Ella said that Lily is not a knight. In a statement by Lily: "Ella is a knave and Ella is a knight". So who is a knight and who is a knave?
[ "Ella", "Lily" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Ella is a knight, and Lily is a knave.
(1) Ella is a knight (2) Lily is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Ella is a knight. No contradiction is found in their claim that Lily is not a knight.", "Lily cannot be a knight, because this would contradict the claim of Ella that Lily is not a knight.", "Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight." ]
This leads to a feasible solution.
(('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0)))
74
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Jack. In a statement by Mason: "If Mason is a knight then Jack is a knave". According to Jack, "Mason is a knight if and only if Mason is a knave". So who is a knight and who is a knave?
[ "Mason", "Jack" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Mason is a knight, and Jack is a knave.
(1) Mason is a knight (2) Jack is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Jack is a knave.", "Jack cannot be a knight, because this would contradict the claim of Mason that If Mason is a knight then Jack is a knave.", "Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Mason is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))
75
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Elizabeth. Isabella commented, "Elizabeth is a knight if and only if Isabella is a knight". Elizabeth remarked, "Isabella is a knave". So who is a knight and who is a knave?
[ "Isabella", "Elizabeth" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Isabella is a knave, and Elizabeth is a knight.
(1) Isabella is a knave (2) Elizabeth is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Isabella is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Isabella is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.", "Elizabeth cannot be a knave, because this would contradict the claim of Isabella that Elizabeth is a knight if and only if Isabella is a knight.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Isabella.", "Assume Isabella is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Isabella is a knight.", "Assume Elizabeth is a knight. No contradiction is found in their claim that Isabella is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0))
76
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Oliver. "Oliver is a knight or Oliver is a knave" - Chloe. Oliver said that Chloe is a knight. So who is a knight and who is a knave?
[ "Chloe", "Oliver" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Chloe is a knight, and Oliver is a knight.
(1) Chloe is a knight (2) Oliver is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Chloe is a knight. No contradiction is found in their claim that Oliver is a knight or Oliver is a knave.", "Assume Oliver is a knight. No contradiction is found in their claim that Chloe is a knight." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 0))
77
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Liam. William said that Liam is a knave. Liam commented, "William is a knave and William is a knight". So who is a knight and who is a knave?
[ "William", "Liam" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
William is a knight, and Liam is a knave.
(1) William is a knight (2) Liam is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume William is a knight. No contradiction is found in their claim that Liam is a knave.", "Liam cannot be a knight, because this would contradict the claim of William that Liam is a knave.", "Assume Liam is a knave. No contradiction is found in their false claim that William is a knave and William is a knight." ]
This leads to a feasible solution.
(('lying', 1), ('and', ('lying', 0), ('telling-truth', 0)))
78
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Jack. Henry said that Jack is a knave or Henry is a knight. Jack noted, "Henry is a knave if and only if Henry is a knight". So who is a knight and who is a knave?
[ "Henry", "Jack" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Henry is a knight, and Jack is a knave.
(1) Henry is a knight (2) Jack is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Henry is a knight. No contradiction is found in their claim that Jack is a knave or Henry is a knight.", "Jack cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Henry is a knight.", "Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Henry is a knight." ]
This leads to a feasible solution.
(('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 0)))
79
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Olivia. In a statement by Benjamin: "Olivia is a knight". In a statement by Olivia: "Benjamin is a knight and Benjamin is a knave". So who is a knight and who is a knave?
[ "Benjamin", "Olivia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Benjamin is a knave, and Olivia is a knave.
(1) Benjamin is a knave (2) Olivia is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.", "Olivia cannot be a knave, because this would contradict the claim of Benjamin that Olivia is a knight.", "We have exhausted all possibilities for Olivia, so let us go back and reconsider Benjamin.", "Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knight.", "Olivia cannot be a knight, because this would contradict the false claim of Benjamin that Olivia is a knight.", "Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave." ]
This leads to a feasible solution.
(('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0)))
80
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Evelyn. As Victoria put it, "Evelyn is a knight if and only if Victoria is a knight". Evelyn commented, "Victoria is not a knave". So who is a knight and who is a knave?
[ "Victoria", "Evelyn" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Victoria is a knight, and Evelyn is a knight.
(1) Victoria is a knight (2) Evelyn is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Victoria is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Victoria is a knight.", "Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is not a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0)))
81
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Sofia. As Samuel put it, "If Samuel is a knight then Sofia is a knight". Sofia remarked, "If Samuel is a knight then Sofia is a knight". So who is a knight and who is a knave?
[ "Samuel", "Sofia" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Samuel is a knight, and Sofia is a knight.
(1) Samuel is a knight (2) Sofia is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knight.", "Assume Sofia is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1)))
82
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Logan. Avery told you that If Logan is a knight then Logan is a knave. As Logan put it, "Avery is a knight if and only if Avery is a knave". So who is a knight and who is a knave?
[ "Avery", "Logan" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Avery is a knight, and Logan is a knave.
(1) Avery is a knight (2) Logan is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Avery is a knight. No contradiction is found in their claim that If Logan is a knight then Logan is a knave.", "Logan cannot be a knight, because this would contradict the claim of Avery that If Logan is a knight then Logan is a knave.", "Assume Logan is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))
83
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and William. David was heard saying, "William is not a knave". William expressed that David is a knight or David is a knave. So who is a knight and who is a knave?
[ "David", "William" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
David is a knight, and William is a knight.
(1) David is a knight (2) William is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume David is a knight. No contradiction is found in their claim that William is not a knave.", "Assume William is a knight. No contradiction is found in their claim that David is a knight or David is a knave." ]
This leads to a feasible solution.
(('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))
84
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Emily. As Ethan put it, "Emily is a knave and Emily is a knight". Emily commented, "If Emily is a knight then Ethan is a knave". So who is a knight and who is a knave?
[ "Ethan", "Emily" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Ethan is a knave, and Emily is a knight.
(1) Ethan is a knave (2) Emily is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Ethan cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.", "Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.", "Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Ethan is a knave." ]
This leads to a feasible solution.
(('and', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0)))
85
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Michael, and Benjamin. As Michael put it, "Benjamin is a knight and Michael is a knight". According to Benjamin, "If Benjamin is a knight then Michael is a knight". So who is a knight and who is a knave?
[ "Michael", "Benjamin" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, true ]
Michael is a knight, and Benjamin is a knight.
(1) Michael is a knight (2) Benjamin is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight and Michael is a knight.", "Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Michael is a knight." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0)))
86
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Luke. "If Luke is a knave then Luke is a knight," Emily claimed. Luke was heard saying, "Luke is a knight if and only if Emily is a knave". So who is a knight and who is a knave?
[ "Emily", "Luke" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Emily is a knave, and Luke is a knave.
(1) Emily is a knave (2) Luke is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Emily is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Emily is a knave.", "Luke cannot be a knave, because this would contradict the claim of Emily that If Luke is a knave then Luke is a knight.", "We have exhausted all possibilities for Luke, so let us go back and reconsider Emily.", "Assume Emily is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight.", "Luke cannot be a knight, because this would contradict the false claim of Emily that If Luke is a knave then Luke is a knight.", "Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight if and only if Emily is a knave." ]
This leads to a feasible solution.
(('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))
87
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Jacob. Amelia commented, "If Jacob is a knight then Amelia is a knight". "Amelia is a knight if and only if Amelia is a knave," Jacob declared. So who is a knight and who is a knave?
[ "Amelia", "Jacob" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Amelia is a knight, and Jacob is a knave.
(1) Amelia is a knight (2) Jacob is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Amelia is a knight. No contradiction is found in their claim that If Jacob is a knight then Amelia is a knight.", "Jacob cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.", "Assume Jacob is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0)))
88
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Emma. Aiden noted, "If Aiden is a knight then Emma is a knave". "Emma is a knight," Emma mentioned. So who is a knight and who is a knave?
[ "Aiden", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Aiden is a knight, and Emma is a knave.
(1) Aiden is a knight (2) Emma is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Emma is a knave.", "Emma cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Emma is a knave.", "Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight." ]
This leads to a feasible solution.
(('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 1))
89
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and James. Olivia said, "Olivia is a knight or James is a knight." James was heard saying, "Olivia is a knave if and only if James is a knight". So who is a knight and who is a knave?
[ "Olivia", "James" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Olivia is a knave, and James is a knave.
(1) Olivia is a knave (2) James is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or James is a knight.", "James cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if James is a knight.", "James cannot be a knave, because this would contradict the false claim of their own that Olivia is a knave if and only if James is a knight.", "We have exhausted all possibilities for James, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight or James is a knight.", "James cannot be a knight, because this would contradict the false claim of Olivia that Olivia is a knight or James is a knight.", "Assume James is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if James is a knight." ]
This leads to a feasible solution.
(('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)))
90
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Penelope. Samuel remarked, "Penelope is a knight or Penelope is a knave". Penelope said that Samuel is not a knight. So who is a knight and who is a knave?
[ "Samuel", "Penelope" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Samuel is a knight, and Penelope is a knave.
(1) Samuel is a knight (2) Penelope is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Samuel is a knight. No contradiction is found in their claim that Penelope is a knight or Penelope is a knave.", "Penelope cannot be a knight, because this would contradict the claim of their own that Samuel is not a knight.", "Assume Penelope is a knave. No contradiction is found in their false claim that Samuel is not a knight." ]
This leads to a feasible solution.
(('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0)))
91
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Mason. Ella noted, "If Mason is a knight then Mason is a knave". Mason asserted: "Ella is a knight or Ella is a knave". So who is a knight and who is a knave?
[ "Ella", "Mason" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Ella is a knave, and Mason is a knight.
(1) Ella is a knave (2) Mason is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Ella is a knight. No contradiction is found in their claim that If Mason is a knight then Mason is a knave.", "Mason cannot be a knight, because this would contradict the claim of Ella that If Mason is a knight then Mason is a knave.", "Mason cannot be a knave, because this would contradict the false claim of their own that Ella is a knight or Ella is a knave.", "We have exhausted all possibilities for Mason, so let us go back and reconsider Ella.", "Assume Ella is a knave. No contradiction is found in their false claim that If Mason is a knight then Mason is a knave.", "Assume Mason is a knight. No contradiction is found in their claim that Ella is a knight or Ella is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0)))
92
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Elizabeth. Olivia asserted: "Elizabeth is a knave if and only if Olivia is a knight". Elizabeth said that Elizabeth is a knight if and only if Olivia is a knave. So who is a knight and who is a knave?
[ "Olivia", "Elizabeth" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Olivia is a knave, and Elizabeth is a knave.
(1) Olivia is a knave (2) Elizabeth is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Olivia is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Olivia is a knight.", "Elizabeth cannot be a knight, because this would contradict the claim of Olivia that Elizabeth is a knave if and only if Olivia is a knight.", "Elizabeth cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight if and only if Olivia is a knave.", "We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Olivia.", "Assume Olivia is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Olivia is a knight.", "Elizabeth cannot be a knight, because this would contradict the false claim of Olivia that Elizabeth is a knave if and only if Olivia is a knight.", "Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Olivia is a knave." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0)))
93
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Abigail. Riley expressed that Abigail is a knave if and only if Abigail is a knight. Abigail noted, "Riley is a knave". So who is a knight and who is a knave?
[ "Riley", "Abigail" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Riley is a knave, and Abigail is a knight.
(1) Riley is a knave (2) Abigail is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Riley cannot be a knight, because this would contradict the claim of their own that Abigail is a knave if and only if Abigail is a knight.", "Assume Riley is a knave. No contradiction is found in their false claim that Abigail is a knave if and only if Abigail is a knight.", "Assume Abigail is a knight. No contradiction is found in their claim that Riley is a knave." ]
This leads to a feasible solution.
(('<=>', ('lying', 1), ('telling-truth', 1)), ('lying', 0))
94
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Emma. As Abigail put it, "Abigail is a knight or Emma is a knight". Emma asserted: "Abigail is not a knight". So who is a knight and who is a knave?
[ "Abigail", "Emma" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ true, false ]
Abigail is a knight, and Emma is a knave.
(1) Abigail is a knight (2) Emma is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Emma is a knight.", "Emma cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.", "Assume Emma is a knave. No contradiction is found in their false claim that Abigail is not a knight." ]
This leads to a feasible solution.
(('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)))
95
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Ava. In Avery's words: "If Ava is a knight then Ava is a knave". Ava commented, "Ava is a knight if and only if Avery is a knave". So who is a knight and who is a knave?
[ "Avery", "Ava" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Avery is a knave, and Ava is a knight.
(1) Avery is a knave (2) Ava is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Avery is a knight. No contradiction is found in their claim that If Ava is a knight then Ava is a knave.", "Ava cannot be a knight, because this would contradict the claim of Avery that If Ava is a knight then Ava is a knave.", "Ava cannot be a knave, because this would contradict the false claim of their own that Ava is a knight if and only if Avery is a knave.", "We have exhausted all possibilities for Ava, so let us go back and reconsider Avery.", "Assume Avery is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave.", "Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Avery is a knave." ]
This leads to a feasible solution.
(('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0)))
96
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. Aiden said that Lucas is a knight and Aiden is a knight. "Aiden is a knight and Aiden is a knave," Lucas claimed. So who is a knight and who is a knave?
[ "Aiden", "Lucas" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Aiden is a knave, and Lucas is a knave.
(1) Aiden is a knave (2) Lucas is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Aiden is a knight. No contradiction is found in their claim that Lucas is a knight and Aiden is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.", "Lucas cannot be a knave, because this would contradict the claim of Aiden that Lucas is a knight and Aiden is a knight.", "We have exhausted all possibilities for Lucas, so let us go back and reconsider Aiden.", "Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knight and Aiden is a knight.", "Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.", "Assume Lucas is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave." ]
This leads to a feasible solution.
(('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 0)))
97
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Isabella. As Zoey put it, "Isabella is a knight if and only if Isabella is a knave". Isabella remarked, "Zoey is a knight if and only if Zoey is a knave". So who is a knight and who is a knave?
[ "Zoey", "Isabella" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, false ]
Zoey is a knave, and Isabella is a knave.
(1) Zoey is a knave (2) Isabella is a knave
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Zoey cannot be a knight, because this would contradict the claim of their own that Isabella is a knight if and only if Isabella is a knave.", "Assume Zoey is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.", "Isabella cannot be a knight, because this would contradict the claim of their own that Zoey is a knight if and only if Zoey is a knave.", "Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave." ]
This leads to a feasible solution.
(('<=>', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0)))
98
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Abigail. "Abigail is a knave" - Henry. According to Abigail, "Abigail is a knight if and only if Henry is a knave". So who is a knight and who is a knave?
[ "Henry", "Abigail" ]
{ "knight": "knight", "knave": "knave", "a_knight": "a knight", "a_knave": "a knave", "Knight": "Knight", "Knave": "Knave" }
[ false, true ]
Henry is a knave, and Abigail is a knight.
(1) Henry is a knave (2) Abigail is a knight
Let's think step by step, by considering whether each person is lying and if that leads to contradiction.
[ "Assume Henry is a knight. No contradiction is found in their claim that Abigail is a knave.", "Abigail cannot be a knight, because this would contradict the claim of Henry that Abigail is a knave.", "Abigail cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight if and only if Henry is a knave.", "We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.", "Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knave.", "Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Henry is a knave." ]
This leads to a feasible solution.
(('lying', 1), ('<=>', ('telling-truth', 1), ('lying', 0)))
99