A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Victoria, Ethan, Logan, Penelope, Henry, and Lily. Victoria said, "Penelope is a knave or Henry is a knight." "Henry is a knight if and only if Henry is a knave," Ethan mentioned. Logan expressed that Penelope is a knight or Lily is a knight. In Penelope's words: "Ethan is a knight". As Henry put it, "Ethan is a knight if and only if Logan is a knight". Lily asserted: "Henry is a knight or Penelope is a knave". So who is a knight and who is a knave?

Victoria Ethan Logan Penelope Henry Lily

Victoria is a knight, Ethan is a knave, Logan is a knight, Penelope is a knave, Henry is a knave, and Lily is a knight.

(1) Victoria is a knight
(2) Ethan is a knave
(3) Logan is a knight
(4) Penelope is a knave
(5) Henry is a knave
(6) Lily is a knight

Assume Victoria is a knight. No contradiction is found in their claim that Penelope is a knave or Henry is a knight.

Assume Penelope is a knight. No contradiction is found in their claim that Ethan is a knight.

Ethan cannot be a knight, because this would contradict the claim of their own that Henry is a knight if and only if Henry is a knave.

Ethan cannot be a knave, because this would contradict the claim of Penelope that Ethan is a knight.

We have exhausted all possibilities for Ethan, so let us go back and reconsider Penelope.

Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knight.

Assume Ethan is a knave. No contradiction is found in their false claim that Henry is a knight if and only if Henry is a knave.

Assume Henry is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Logan is a knight.

Logan cannot be a knight, because this would contradict the claim of Henry that Ethan is a knight if and only if Logan is a knight.

Assume Logan is a knave. No contradiction is found in their false claim that Penelope is a knight or Lily is a knight.

Lily cannot be a knight, because this would contradict the false claim of Logan that Penelope is a knight or Lily is a knight.

Lily cannot be a knave, because this would contradict the false claim of their own that Henry is a knight or Penelope is a knave.

We have exhausted all possibilities for Lily and Logan, so let us go back and reconsider Henry.

Assume Henry is a knave. No contradiction is found in their false claim that Ethan is a knight if and only if Logan is a knight.

Assume Logan is a knight. No contradiction is found in their claim that Penelope is a knight or Lily is a knight.

Assume Lily is a knight. No contradiction is found in their claim that Henry is a knight or Penelope is a knave.

(('or', ('lying', 3), ('telling-truth', 4)), ('<=>', ('telling-truth', 4), ('lying', 4)), ('or', ('telling-truth', 3), ('telling-truth', 5)), ('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 4), ('lying', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Benjamin, Jack, Jacob, Logan, and Oliver. In Evelyn's words: "Jacob is a knave or Logan is a knight". Benjamin remarked, "Jack is a knight if and only if Jacob is a knave". Jack expressed that Logan is a knave if and only if Evelyn is a knave. Jacob was heard saying, "Jack is a knight if and only if Evelyn is a knight". According to Logan, "If Jack is a knave then Benjamin is a knave". As Oliver put it, "Jacob is a knight or Logan is a knight". So who is a knight and who is a knave?

Evelyn is a knight, Benjamin is a knave, Jack is a knight, Jacob is a knight, Logan is a knight, and Oliver is a knight.

(1) Evelyn is a knight
(2) Benjamin is a knave
(3) Jack is a knight
(4) Jacob is a knight
(5) Logan is a knight
(6) Oliver 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 Jacob is a knave or Logan is a knight.

Assume Jacob is a knight. No contradiction is found in their claim that Jack is a knight if and only if Evelyn is a knight.

Assume Jack is a knight. No contradiction is found in their claim that Logan is a knave if and only if Evelyn is a knave.

Assume Logan is a knight. No contradiction is found in their claim that If Jack is a knave then Benjamin is a knave.

Benjamin cannot be a knight, because this would contradict the claim of their own that Jack is a knight if and only if Jacob is a knave.

Assume Benjamin is a knave. No contradiction is found in their false claim that Jack is a knight if and only if Jacob is a knave.

Assume Oliver is a knight. No contradiction is found in their claim that Jacob is a knight or Logan is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Abigail, Matthew, Benjamin, Lily, and Amelia. "Amelia is a knave and Abigail is a knight," Samuel mentioned. Abigail commented, "Benjamin is a knight". Matthew told you that Amelia is not a knight. Benjamin asserted: "Lily is a knave or Abigail is a knight". Lily told you that Matthew is a knave. Amelia told you that If Amelia is a knight then Abigail is a knave. So who is a knight and who is a knave?

Samuel Abigail Matthew Benjamin Lily Amelia

Samuel is a knave, Abigail is a knave, Matthew is a knave, Benjamin is a knave, Lily is a knight, and Amelia is a knight.

(1) Samuel is a knave
(2) Abigail is a knave
(3) Matthew is a knave
(4) Benjamin is a knave
(5) Lily is a knight
(6) Amelia is a knight

Assume Samuel is a knight. No contradiction is found in their claim that Amelia is a knave and Abigail is a knight.

Amelia cannot be a knight, because this would contradict the claim of Samuel that Amelia is a knave and Abigail is a knight.

Amelia cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knight then Abigail is a knave.

We have exhausted all possibilities for Amelia, so let us go back and reconsider Samuel.

Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave and Abigail is a knight.

Assume Amelia is a knight. No contradiction is found in their claim that If Amelia is a knight then Abigail is a knave.

Abigail cannot be a knight, because this would contradict the claim of Amelia that If Amelia is a knight then Abigail is a knave.

Assume Abigail is a knave. No contradiction is found in their false claim that Benjamin is a knight.

Benjamin cannot be a knight, because this would contradict the false claim of Abigail that Benjamin is a knight.

Assume Benjamin is a knave. No contradiction is found in their false claim that Lily is a knave or Abigail is a knight.

Assume Lily is a knight. No contradiction is found in their claim that Matthew is a knave.

Matthew cannot be a knight, because this would contradict the claim of their own that Amelia is not a knight.

Assume Matthew is a knave. No contradiction is found in their false claim that Amelia is not a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jacob, Aria, Isabella, Emily, Aiden, and Michael. Jacob asserted: "Michael is not a knight". Aria said that Emily is a knight and Emily is a knave. Isabella commented, "Jacob is a knight and Aria is a knight". Emily noted, "Aiden is not a knave". "If Aiden is a knight then Jacob is a knight" - Aiden. Michael commented, "Emily is a knave and Aiden is a knave". So who is a knight and who is a knave?

Jacob is a knight, Aria is a knave, Isabella is a knave, Emily is a knight, Aiden is a knight, and Michael is a knave.

(1) Jacob is a knight
(2) Aria is a knave
(3) Isabella is a knave
(4) Emily is a knight
(5) Aiden is a knight
(6) Michael is a knave

Assume Jacob is a knight. No contradiction is found in their claim that Michael is not a knight.

Michael cannot be a knight, because this would contradict the claim of Jacob that Michael is not a knight.

Assume Michael is a knave. No contradiction is found in their false claim that Emily is a knave and Aiden is a knave.

Assume Emily is a knight. No contradiction is found in their claim that Aiden is not a knave.

Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Jacob is a knight.

Aria cannot be a knight, because this would contradict the claim of their own that Emily is a knight and Emily is a knave.

Assume Aria is a knave. No contradiction is found in their false claim that Emily is a knight and Emily is a knave.

Isabella cannot be a knight, because this would contradict the claim of their own that Jacob is a knight and Aria is a knight.

Assume Isabella is a knave. No contradiction is found in their false claim that Jacob is a knight and Aria is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Penelope, Elizabeth, Riley, Chloe, and James. Mason said that Chloe is a knight. As Penelope put it, "Elizabeth is a knight if and only if Riley is a knave". "Elizabeth is a knight and Penelope is a knight," Elizabeth mentioned. "Penelope is a knight and James is a knave," Riley claimed. In a statement by Chloe: "Penelope is a knave". James expressed that Chloe is a knight or Elizabeth is a knave. So who is a knight and who is a knave?

Mason Penelope Elizabeth Riley Chloe James

Mason is a knight, Penelope is a knave, Elizabeth is a knave, Riley is a knave, Chloe is a knight, and James is a knight.

(1) Mason is a knight
(2) Penelope is a knave
(3) Elizabeth is a knave
(4) Riley is a knave
(5) Chloe is a knight
(6) James is a knight

Assume Mason is a knight. No contradiction is found in their claim that Chloe is a knight.

Assume Chloe is a knight. No contradiction is found in their claim that Penelope is a knave.

Penelope cannot be a knight, because this would contradict the claim of Chloe that Penelope is a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Riley is a knave.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Elizabeth is a knight and Penelope is a knight.

Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight and Penelope is a knight.

Riley cannot be a knight, because this would contradict the false claim of Penelope that Elizabeth is a knight if and only if Riley is a knave.

Assume Riley is a knave. No contradiction is found in their false claim that Penelope is a knight and James is a knave.

Assume James is a knight. No contradiction is found in their claim that Chloe is a knight or Elizabeth is a knave.

(('telling-truth', 4), ('<=>', ('telling-truth', 2), ('lying', 3)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('lying', 5)), ('lying', 1), ('or', ('telling-truth', 4), ('lying', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Jack, Harper, Elizabeth, Jacob, and Mason. Scarlett expressed that Elizabeth is a knight or Harper is a knave. Jack expressed that Mason is a knave. Harper expressed that If Jack is a knave then Mason is a knave. Elizabeth commented, "Scarlett is a knight or Scarlett is a knave". Jacob noted, "Harper is a knave". "If Jack is a knight then Elizabeth is a knight" - Mason. So who is a knight and who is a knave?

Scarlett Jack Harper Elizabeth Jacob Mason

Scarlett is a knight, Jack is a knave, Harper is a knave, Elizabeth is a knight, Jacob is a knight, and Mason is a knight.

(1) Scarlett is a knight
(2) Jack is a knave
(3) Harper is a knave
(4) Elizabeth is a knight
(5) Jacob is a knight
(6) Mason is a knight

Assume Scarlett is a knight. No contradiction is found in their claim that Elizabeth is a knight or Harper is a knave.

Assume Elizabeth is a knight. No contradiction is found in their claim that Scarlett is a knight or Scarlett is a knave.

Assume Harper is a knight. No contradiction is found in their claim that If Jack is a knave then Mason is a knave.

Assume Jack is a knight. No contradiction is found in their claim that Mason is a knave.

Mason cannot be a knight, because this would contradict the claim of Jack that Mason is a knave.

Mason cannot be a knave, because this would contradict the false claim of their own that If Jack is a knight then Elizabeth 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.

Mason cannot be a knight, because this would contradict the claim of Harper that If Jack is a knave then Mason is a knave.

Mason cannot be a knave, because this would contradict the false claim of Jack that Mason is a knave.

We have exhausted all possibilities for Mason and Jack, so let us go back and reconsider Harper.

Assume Harper is a knave. No contradiction is found in their false claim that If Jack is a knave then Mason is a knave.

Jack cannot be a knight, because this would contradict the false claim of Harper that If Jack is a knave then Mason is a knave.

Assume Mason is a knight. No contradiction is found in their claim that If Jack is a knight then Elizabeth is a knight.

Assume Jacob is a knight. No contradiction is found in their claim that Harper is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Zoey, William, Olivia, Avery, and Ethan. According to Benjamin, "Olivia is a knave if and only if Olivia is a knight". "If Olivia is a knight then William is a knight," Zoey claimed. William said that Zoey is a knight if and only if Avery is a knight. Olivia was heard saying, "Ethan is a knight". Avery noted, "Ethan is a knave if and only if Zoey is a knight". "Ethan is a knight or Benjamin is a knave," Ethan declared. So who is a knight and who is a knave?

Benjamin Zoey William Olivia Avery Ethan

Benjamin is a knave, Zoey is a knave, William is a knave, Olivia is a knight, Avery is a knight, and Ethan is a knight.

(1) Benjamin is a knave
(2) Zoey is a knave
(3) William is a knave
(4) Olivia is a knight
(5) Avery is a knight
(6) Ethan is a knight

Benjamin cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Olivia is a knight.

Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Olivia is a knight.

Assume Olivia is a knight. No contradiction is found in their claim that Ethan is a knight.

Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Benjamin is a knave.

Assume Zoey is a knight. No contradiction is found in their claim that If Olivia is a knight then William is a knight.

Assume William is a knight. No contradiction is found in their claim that Zoey is a knight if and only if Avery is a knight.

Avery cannot be a knight, because this would contradict the claim of their own that Ethan is a knave if and only if Zoey is a knight.

Avery cannot be a knave, because this would contradict the claim of William that Zoey is a knight if and only if Avery is a knight.

We have exhausted all possibilities for Avery, so let us go back and reconsider William.

William cannot be a knave, because this would contradict the claim of Zoey that If Olivia is a knight then William is a knight.

We have exhausted all possibilities for William, so let us go back and reconsider Zoey.

Assume Zoey is a knave. No contradiction is found in their false claim that If Olivia is a knight then William is a knight.

William cannot be a knight, because this would contradict the false claim of Zoey that If Olivia is a knight then William is a knight.

Assume William is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Avery is a knight.

Assume Avery is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Zoey is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Alexander, Aria, David, Zoey, and Penelope. Ava stated, "David is a knave or Aria is a knave". "Zoey is a knight or Penelope is a knave," Alexander declared. Aria said that Aria is a knight or Zoey is a knave. David asserted: "Penelope is not a knave". Zoey stated, "Ava is a knave if and only if David is a knave". "Aria is a knave and Aria is a knight," Penelope mentioned. So who is a knight and who is a knave?

Ava is a knight, Alexander is a knight, Aria is a knight, David is a knave, Zoey is a knave, and Penelope is a knave.

(1) Ava is a knight
(2) Alexander is a knight
(3) Aria is a knight
(4) David is a knave
(5) Zoey is a knave
(6) Penelope is a knave

Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Aria is a knave.

Assume David is a knight. No contradiction is found in their claim that Penelope is not a knave.

Penelope cannot be a knight, because this would contradict the claim of their own that Aria is a knave and Aria is a knight.

Penelope cannot be a knave, because this would contradict the claim of David that Penelope is not a knave.

We have exhausted all possibilities for Penelope, so let us go back and reconsider David.

Assume David is a knave. No contradiction is found in their false claim that Penelope is not a knave.

Penelope cannot be a knight, because this would contradict the false claim of David that Penelope is not a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that Aria is a knave and Aria is a knight.

Assume Aria is a knight. No contradiction is found in their claim that Aria is a knight or Zoey is a knave.

Zoey cannot be a knight, because this would contradict the claim of their own that Ava is a knave if and only if David is a knave.

Assume Zoey is a knave. No contradiction is found in their false claim that Ava is a knave if and only if David is a knave.

Assume Alexander is a knight. No contradiction is found in their claim that Zoey is a knight or Penelope is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Ella, Ethan, Lily, Joseph, and Scarlett. Sophia told you that Ethan is a knave or Joseph is a knave. "Sophia is not a knight," Ella declared. "Ella is not a knave," Ethan declared. Lily asserted: "Scarlett is a knave or Joseph is a knight". Joseph remarked, "Scarlett is a knave and Ethan is a knight". Scarlett asserted: "If Ethan is a knight then Lily is a knight". So who is a knight and who is a knave?

Sophia is a knight, Ella is a knave, Ethan is a knave, Lily is a knave, Joseph is a knave, and Scarlett is a knight.

(1) Sophia is a knight
(2) Ella is a knave
(3) Ethan is a knave
(4) Lily is a knave
(5) Joseph is a knave
(6) Scarlett is a knight

Assume Sophia is a knight. No contradiction is found in their claim that Ethan is a knave or Joseph is a knave.

Assume Ethan is a knight. No contradiction is found in their claim that Ella is not a knave.

Ella cannot be a knight, because this would contradict the claim of their own that Sophia is not a knight.

Ella cannot be a knave, because this would contradict the claim of Ethan that Ella is not a knave.

We have exhausted all possibilities for Ella, so let us go back and reconsider Ethan.

Assume Ethan is a knave. No contradiction is found in their false claim that Ella is not a knave.

Assume Ella is a knave. No contradiction is found in their false claim that Sophia is not a knight.

Joseph cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave and Ethan is a knight.

Assume Joseph is a knave. No contradiction is found in their false claim that Scarlett is a knave and Ethan is a knight.

Assume Scarlett is a knight. No contradiction is found in their claim that If Ethan is a knight then Lily is a knight.

Lily cannot be a knight, because this would contradict the claim of their own that Scarlett is a knave or Joseph is a knight.

Assume Lily is a knave. No contradiction is found in their false claim that Scarlett is a knave or Joseph is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Riley, Luke, Zoey, James, Lily, and Amelia. In a statement by Riley: "Lily is a knight". Luke said that If Zoey is a knight then James is a knight. Zoey noted, "Zoey is a knight". James said that Riley is not a knight. "Luke is a knight," Lily declared. Amelia told you that Luke is a knave. So who is a knight and who is a knave?

Riley is a knight, Luke is a knight, Zoey is a knave, James is a knave, Lily is a knight, and Amelia is a knave.

(1) Riley is a knight
(2) Luke is a knight
(3) Zoey is a knave
(4) James is a knave
(5) Lily is a knight
(6) Amelia is a knave

Assume Riley is a knight. No contradiction is found in their claim that Lily is a knight.

Assume Lily is a knight. No contradiction is found in their claim that Luke is a knight.

Assume Luke is a knight. No contradiction is found in their claim that If Zoey is a knight then James is a knight.

Assume Zoey is a knight. No contradiction is found in their claim that Zoey is a knight.

James cannot be a knight, because this would contradict the claim of their own that Riley is not a knight.

James cannot be a knave, because this would contradict the claim of Luke that If Zoey is a knight then James is a knight.

We have exhausted all possibilities for James, so let us go back and reconsider Zoey.

Assume Zoey is a knave. No contradiction is found in their false claim that Zoey is a knight.

Assume James is a knave. No contradiction is found in their false claim that Riley is not a knight.

Amelia cannot be a knight, because this would contradict the claim of their own that Luke is a knave.

Assume Amelia is a knave. No contradiction is found in their false claim that Luke is a knave.

(('telling-truth', 4), ('->', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 2), ('not', ('telling-truth', 0)), ('telling-truth', 1), ('lying', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Owen, Sofia, Evelyn, James, and Victoria. Jackson stated, "Sofia is a knave or James is a knight". Owen said, "Evelyn is a knave." According to Sofia, "James is a knight if and only if Evelyn is a knave". Evelyn was heard saying, "Owen is a knight and Evelyn is a knight". James remarked, "Owen is a knight or Owen is a knave". According to Victoria, "If Evelyn is a knave then Evelyn is a knight". So who is a knight and who is a knave?

Jackson Owen Sofia Evelyn James Victoria

Jackson is a knight, Owen is a knight, Sofia is a knight, Evelyn is a knave, James is a knight, and Victoria is a knave.

(1) Jackson is a knight
(2) Owen is a knight
(3) Sofia is a knight
(4) Evelyn is a knave
(5) James is a knight
(6) Victoria is a knave

Assume Jackson is a knight. No contradiction is found in their claim that Sofia is a knave or James is a knight.

Assume Sofia is a knight. No contradiction is found in their claim that James is a knight if and only if Evelyn is a knave.

Assume James is a knight. No contradiction is found in their claim that Owen is a knight or Owen is a knave.

Assume Owen is a knight. No contradiction is found in their claim that Evelyn is a knave.

Evelyn cannot be a knight, because this would contradict the claim of Owen that Evelyn is a knave.

Assume Evelyn is a knave. No contradiction is found in their false claim that Owen is a knight and Evelyn is a knight.

Victoria cannot be a knight, because this would contradict the claim of their own that If Evelyn is a knave then Evelyn is a knight.

Assume Victoria is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Evelyn is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Lily, Jack, Henry, Liam, Penelope, and Sebastian. Lily stated, "Jack is a knave or Penelope is a knave". Jack stated, "Lily is a knave or Sebastian is a knight". "Sebastian is a knight and Liam is a knave," Henry claimed. In Liam's words: "Penelope is not a knight". Penelope expressed that Sebastian is not a knight. Sebastian was heard saying, "Penelope is a knight or Liam is a knight". So who is a knight and who is a knave?

Lily is a knight, Jack is a knight, Henry is a knave, Liam is a knight, Penelope is a knave, and Sebastian is a knight.

(1) Lily is a knight
(2) Jack is a knight
(3) Henry is a knave
(4) Liam is a knight
(5) Penelope is a knave
(6) Sebastian is a knight

Assume Lily is a knight. No contradiction is found in their claim that Jack is a knave or Penelope is a knave.

Assume Jack is a knight. No contradiction is found in their claim that Lily is a knave or Sebastian is a knight.

Assume Sebastian is a knight. No contradiction is found in their claim that Penelope is a knight or Liam is a knight.

Penelope cannot be a knight, because this would contradict the claim of Lily that Jack is a knave or Penelope is a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that Sebastian is not a knight.

Assume Liam is a knight. No contradiction is found in their claim that Penelope is not a knight.

Henry cannot be a knight, because this would contradict the claim of their own that Sebastian is a knight and Liam is a knave.

Assume Henry is a knave. No contradiction is found in their false claim that Sebastian is a knight and Liam is a knave.

(('or', ('lying', 1), ('lying', 4)), ('or', ('lying', 0), ('telling-truth', 5)), ('and', ('telling-truth', 5), ('lying', 3)), ('not', ('telling-truth', 4)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 4), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, David, Daniel, Emma, Noah, and Aiden. "If Noah is a knight then Emma is a knave," Oliver declared. "Emma is a knave and Emma is a knight," David claimed. Daniel said, "Aiden is a knight." "David is a knight and Aiden is a knight" - Emma. Noah stated, "Oliver is a knave or Daniel is a knight". "Emma is a knave if and only if Oliver is a knave," Aiden claimed. So who is a knight and who is a knave?

Oliver is a knight, David is a knave, Daniel is a knave, Emma is a knave, Noah is a knave, and Aiden is a knave.

(1) Oliver is a knight
(2) David is a knave
(3) Daniel is a knave
(4) Emma is a knave
(5) Noah is a knave
(6) Aiden is a knave

Assume Oliver is a knight. No contradiction is found in their claim that If Noah is a knight then Emma is a knave.

Assume Noah is a knight. No contradiction is found in their claim that Oliver is a knave or Daniel is a knight.

Assume Daniel 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 Emma is a knave if and only if Oliver is a knave.

Emma cannot be a knight, because this would contradict the claim of Oliver that If Noah is a knight then Emma is a knave.

Emma cannot be a knave, because this would contradict the claim of Aiden that Emma is a knave if and only if Oliver is a knave.

We have exhausted all possibilities for Emma, so let us go back and reconsider Aiden.

Aiden cannot be a knave, because this would contradict the claim of Daniel that Aiden is a knight.

We have exhausted all possibilities for Aiden, so let us go back and reconsider Daniel.

Daniel cannot be a knave, because this would contradict the claim of Noah that Oliver is a knave or Daniel is a knight.

We have exhausted all possibilities for Daniel, so let us go back and reconsider Noah.

Assume Noah is a knave. No contradiction is found in their false claim that Oliver is a knave or Daniel is a knight.

Daniel cannot be a knight, because this would contradict the false claim of Noah that Oliver is a knave or Daniel is a knight.

Assume Daniel is a knave. No contradiction is found in their false claim that Aiden is a knight.

Aiden cannot be a knight, because this would contradict the false claim of Daniel that Aiden is a knight.

Assume Aiden is a knave. No contradiction is found in their false claim that Emma is a knave if and only if Oliver is a knave.

Emma cannot be a knight, because this would contradict the claim of their own that David is a knight and Aiden is a knight.

Assume Emma is a knave. No contradiction is found in their false claim that David is a knight and Aiden is a knight.

David cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Emma is a knight.

Assume David is a knave. No contradiction is found in their false claim that Emma is a knave and Emma is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Ella, Mason, Aurora, Aria, and Matthew. Ethan said, "If Aurora is a knight then Aurora is a knave." "If Aria is a knight then Matthew is a knave," Ella declared. According to Mason, "Ella is a knave if and only if Matthew is a knave". As Aurora put it, "If Aurora is a knight then Matthew is a knave". Aria commented, "Mason is a knight or Ella is a knave". "Aria is a knave and Mason is a knight," Matthew mentioned. So who is a knight and who is a knave?

Ethan is a knave, Ella is a knight, Mason is a knave, Aurora is a knight, Aria is a knave, and Matthew is a knave.

(1) Ethan is a knave
(2) Ella is a knight
(3) Mason is a knave
(4) Aurora is a knight
(5) Aria is a knave
(6) Matthew is a knave

Assume Ethan is a knight. No contradiction is found in their claim that If Aurora is a knight then Aurora is a knave.

Aurora cannot be a knight, because this would contradict the claim of Ethan that If Aurora is a knight then Aurora is a knave.

Aurora cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knight then Matthew is a knave.

We have exhausted all possibilities for Aurora, so let us go back and reconsider Ethan.

Assume Ethan is a knave. No contradiction is found in their false claim that If Aurora is a knight then Aurora is a knave.

Assume Aurora is a knight. No contradiction is found in their claim that If Aurora is a knight then Matthew is a knave.

Matthew cannot be a knight, because this would contradict the claim of Aurora that If Aurora is a knight then Matthew is a knave.

Assume Matthew is a knave. No contradiction is found in their false claim that Aria is a knave and Mason is a knight.

Assume Aria is a knight. No contradiction is found in their claim that Mason is a knight or Ella is a knave.

Assume Mason is a knight. No contradiction is found in their claim that Ella is a knave if and only if Matthew is a knave.

Ella cannot be a knight, because this would contradict the claim of Mason that Ella is a knave if and only if Matthew is a knave.

Ella cannot be a knave, because this would contradict the false claim of their own that If Aria is a knight then Matthew is a knave.

We have exhausted all possibilities for Ella, so let us go back and reconsider Mason.

Assume Mason is a knave. No contradiction is found in their false claim that Ella is a knave if and only if Matthew is a knave.

Ella cannot be a knight, because this would contradict the claim of Aria that Mason is a knight or Ella is a knave.

We have exhausted all possibilities for Ella and Mason, so let us go back and reconsider Aria.

Assume Aria is a knave. No contradiction is found in their false claim that Mason is a knight or Ella is a knave.

Mason cannot be a knight, because this would contradict the false claim of Aria that Mason is a knight or Ella is a knave.

Assume Ella is a knight. No contradiction is found in their claim that If Aria is a knight then Matthew is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Olivia, William, Owen, Logan, and Charlotte. "Olivia is a knave if and only if Charlotte is a knave," Evelyn declared. Olivia asserted: "If Logan is a knight then Owen is a knave". William expressed that Olivia is a knave if and only if Evelyn is a knight. Owen asserted: "Charlotte is a knight or William is a knight". In a statement by Logan: "Owen is a knight or William is a knave". Charlotte told you that Olivia is a knight if and only if Owen is a knave. So who is a knight and who is a knave?

Evelyn Olivia William Owen Logan Charlotte

Evelyn is a knave, Olivia is a knave, William is a knave, Owen is a knight, Logan is a knight, and Charlotte is a knight.

(1) Evelyn is a knave
(2) Olivia is a knave
(3) William is a knave
(4) Owen is a knight
(5) Logan is a knight
(6) Charlotte is a knight

Assume Evelyn is a knight. No contradiction is found in their claim that Olivia is a knave if and only if Charlotte is a knave.

Assume Olivia is a knight. No contradiction is found in their claim that If Logan is a knight then Owen is a knave.

Assume Logan is a knight. No contradiction is found in their claim that Owen is a knight or William is a knave.

Owen cannot be a knight, because this would contradict the claim of Olivia that If Logan is a knight then Owen is a knave.

Assume Owen is a knave. No contradiction is found in their false claim that Charlotte is a knight or William is a knight.

Charlotte cannot be a knight, because this would contradict the false claim of Owen that Charlotte is a knight or William is a knight.

Charlotte cannot be a knave, because this would contradict the claim of Evelyn that Olivia is a knave if and only if Charlotte is a knave.

We have exhausted all possibilities for Charlotte and Owen, so let us go back and reconsider Logan.

Assume Logan is a knave. No contradiction is found in their false claim that Owen is a knight or William is a knave.

Owen cannot be a knight, because this would contradict the false claim of Logan that Owen is a knight or William is a knave.

We have exhausted all possibilities for Charlotte, Owen, and Logan, so let us go back and reconsider Olivia.

Assume Olivia is a knave. No contradiction is found in their false claim that If Logan is a knight then Owen is a knave.

Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knight or William is a knight.

Charlotte cannot be a knight, because this would contradict the claim of Evelyn that Olivia is a knave if and only if Charlotte is a knave.

Charlotte cannot be a knave, because this would contradict the false claim of their own that Olivia is a knight if and only if Owen is a knave.

We have exhausted all possibilities for Charlotte, so let us go back and reconsider Owen.

Owen cannot be a knave, because this would contradict the false claim of Olivia that If Logan is a knight then Owen is a knave.

We have exhausted all possibilities for Owen, so let us go back and reconsider Logan.

Logan cannot be a knave, because this would contradict the false claim of Olivia that If Logan is a knight then Owen is a knave.

We have exhausted all possibilities for Logan and Olivia, so let us go back and reconsider Evelyn.

Assume Evelyn is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Charlotte is a knave.

Charlotte cannot be a knight, because this would contradict the false claim of Evelyn that Olivia is a knave if and only if Charlotte is a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Owen is a knave.

William cannot be a knight, because this would contradict the claim of their own that Olivia is a knave if and only if Evelyn is a knight.

Assume William is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if Evelyn is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Charlotte, Alexander, Sophia, Jack, and Avery. David was heard saying, "If Sophia is a knight then Alexander is a knave". Charlotte said that David is a knight. "Charlotte is a knave or Avery is a knave," Alexander mentioned. In Sophia's words: "If Sophia is a knight then Avery is a knave". As Jack put it, "David is a knave if and only if David is a knight". Avery expressed that Charlotte is a knight. So who is a knight and who is a knave?

David Charlotte Alexander Sophia Jack Avery

David is a knave, Charlotte is a knave, Alexander is a knight, Sophia is a knight, Jack is a knave, and Avery is a knave.

(1) David is a knave
(2) Charlotte is a knave
(3) Alexander is a knight
(4) Sophia is a knight
(5) Jack is a knave
(6) Avery is a knave

Assume David is a knight. No contradiction is found in their claim that If Sophia is a knight then Alexander is a knave.

Assume Sophia is a knight. No contradiction is found in their claim that If Sophia is a knight then Avery is a knave.

Avery cannot be a knight, because this would contradict the claim of Sophia that If Sophia is a knight then Avery is a knave.

Assume Avery is a knave. No contradiction is found in their false claim that Charlotte is a knight.

Charlotte cannot be a knight, because this would contradict the false claim of Avery that Charlotte is a knight.

Charlotte cannot be a knave, because this would contradict the false claim of their own that David is a knight.

We have exhausted all possibilities for Charlotte and Avery, so let us go back and reconsider Sophia.

Sophia cannot be a knave, because this would contradict the false claim of their own that If Sophia is a knight then Avery is a knave.

We have exhausted all possibilities for Sophia, so let us go back and reconsider David.

Assume David is a knave. No contradiction is found in their false claim that If Sophia is a knight then Alexander is a knave.

Charlotte cannot be a knight, because this would contradict the claim of their own that David is a knight.

Assume Charlotte is a knave. No contradiction is found in their false claim that David is a knight.

Assume Alexander is a knight. No contradiction is found in their claim that Charlotte is a knave or Avery is a knave.

Jack cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if David is a knight.

Assume Jack is a knave. No contradiction is found in their false claim that David is a knave if and only if David is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Amelia, Samuel, Matthew, Emily, Liam, and Jackson. Amelia said, "If Samuel is a knight then Matthew is a knave." "Amelia is a knave" - Samuel. As Matthew put it, "Samuel is not a knight". Emily said that If Samuel is a knave then Samuel is a knight. Liam asserted: "Emily is not a knave". Jackson said that Matthew is a knave if and only if Emily is a knave. So who is a knight and who is a knave?

Amelia Samuel Matthew Emily Liam Jackson

Amelia is a knight, Samuel is a knave, Matthew is a knight, Emily is a knave, Liam is a knave, and Jackson is a knave.

(1) Amelia is a knight
(2) Samuel is a knave
(3) Matthew is a knight
(4) Emily is a knave
(5) Liam is a knave
(6) Jackson is a knave

Assume Amelia is a knight. No contradiction is found in their claim that If Samuel is a knight then Matthew is a knave.

Samuel cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.

Assume Samuel is a knave. No contradiction is found in their false claim that Amelia is a knave.

Assume Matthew is a knight. No contradiction is found in their claim that Samuel is not a knight.

Emily cannot be a knight, because this would contradict the claim of their own that If Samuel is a knave then Samuel is a knight.

Assume Emily is a knave. No contradiction is found in their false claim that If Samuel is a knave then Samuel is a knight.

Liam cannot be a knight, because this would contradict the claim of their own that Emily is not a knave.

Assume Liam is a knave. No contradiction is found in their false claim that Emily is not a knave.

Jackson cannot be a knight, because this would contradict the claim of their own that Matthew is a knave if and only if Emily is a knave.

Assume Jackson is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Emily is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Riley, William, Ella, Sophia, and Elizabeth. Luke commented, "Sophia is a knave and William is a knight". Riley said, "Sophia is a knight." "Luke is a knave if and only if Sophia is a knave," William declared. Ella noted, "Luke is a knight or William is a knave". Sophia said that Luke is a knight or William is a knave. In a statement by Elizabeth: "Sophia is a knight if and only if Sophia is a knave". So who is a knight and who is a knave?

Luke Riley William Ella Sophia Elizabeth

Luke is a knave, Riley is a knight, William is a knave, Ella is a knight, Sophia is a knight, and Elizabeth is a knave.

(1) Luke is a knave
(2) Riley is a knight
(3) William is a knave
(4) Ella is a knight
(5) Sophia is a knight
(6) Elizabeth is a knave

Assume Luke is a knight. No contradiction is found in their claim that Sophia is a knave and William is a knight.

Sophia cannot be a knight, because this would contradict the claim of Luke that Sophia is a knave and William is a knight.

Sophia cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or William is a knave.

We have exhausted all possibilities for Sophia, so let us go back and reconsider Luke.

Assume Luke is a knave. No contradiction is found in their false claim that Sophia is a knave and William is a knight.

Assume Sophia is a knight. No contradiction is found in their claim that Luke is a knight or William is a knave.

William cannot be a knight, because this would contradict the claim of their own that Luke is a knave if and only if Sophia is a knave.

Assume William is a knave. No contradiction is found in their false claim that Luke is a knave if and only if Sophia is a knave.

Assume Riley is a knight. No contradiction is found in their claim that Sophia is a knight.

Assume Ella is a knight. No contradiction is found in their claim that Luke is a knight or William is a knave.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.

Assume Elizabeth is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aria, Sebastian, Alexander, Jackson, Michael, and Emily. Aria told you that Sebastian is a knight and Alexander is a knave. "Jackson is a knight if and only if Emily is a knave," Sebastian claimed. "Michael is a knave or Emily is a knight" - Alexander. "Aria is a knight," Jackson mentioned. In a statement by Michael: "Aria is a knight and Jackson is a knave". "Aria is a knave," Emily mentioned. So who is a knight and who is a knave?

Aria Sebastian Alexander Jackson Michael Emily

Aria is a knave, Sebastian is a knight, Alexander is a knight, Jackson is a knave, Michael is a knave, and Emily is a knight.

(1) Aria is a knave
(2) Sebastian is a knight
(3) Alexander is a knight
(4) Jackson is a knave
(5) Michael is a knave
(6) Emily is a knight

Assume Aria is a knight. No contradiction is found in their claim that Sebastian is a knight and Alexander is a knave.

Assume Sebastian is a knight. No contradiction is found in their claim that Jackson is a knight if and only if Emily is a knave.

Assume Jackson is a knight. No contradiction is found in their claim that Aria is a knight.

Emily cannot be a knight, because this would contradict the claim of Sebastian that Jackson is a knight if and only if Emily is a knave.

Assume Emily is a knave. No contradiction is found in their false claim that Aria is a knave.

Alexander cannot be a knight, because this would contradict the claim of Aria that Sebastian is a knight and Alexander is a knave.

Assume Alexander is a knave. No contradiction is found in their false claim that Michael is a knave or Emily is a knight.

Michael cannot be a knight, because this would contradict the claim of their own that Aria is a knight and Jackson is a knave.

Michael cannot be a knave, because this would contradict the false claim of Alexander that Michael is a knave or Emily is a knight.

We have exhausted all possibilities for Michael, Alexander, and Emily, so let us go back and reconsider Jackson.

Jackson cannot be a knave, because this would contradict the false claim of their own that Aria is a knight.

We have exhausted all possibilities for Jackson, so let us go back and reconsider Sebastian.

Sebastian cannot be a knave, because this would contradict the claim of Aria that Sebastian is a knight and Alexander is a knave.

We have exhausted all possibilities for Sebastian, so let us go back and reconsider Aria.

Assume Aria is a knave. No contradiction is found in their false claim that Sebastian is a knight and Alexander is a knave.

Jackson cannot be a knight, because this would contradict the claim of their own that Aria is a knight.

Assume Jackson is a knave. No contradiction is found in their false claim that Aria is a knight.

Assume Emily is a knight. No contradiction is found in their claim that Aria is a knave.

Assume Alexander is a knight. No contradiction is found in their claim that Michael is a knave or Emily is a knight.

Assume Michael is a knave. No contradiction is found in their false claim that Aria is a knight and Jackson is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Jacob, Penelope, James, Liam, and Sofia. "Jacob is a knave if and only if James is a knight," Samuel declared. Jacob asserted: "Penelope is a knave". In Penelope's words: "James is a knight". "Samuel is a knight or Jacob is a knave" - James. Liam said that If Penelope is a knave then Samuel is a knight. Sofia said, "Liam is a knave or James is a knave." So who is a knight and who is a knave?

Samuel is a knight, Jacob is a knave, Penelope is a knight, James is a knight, Liam is a knight, and Sofia is a knave.

(1) Samuel is a knight
(2) Jacob is a knave
(3) Penelope is a knight
(4) James is a knight
(5) Liam is a knight
(6) Sofia is a knave

Assume Samuel is a knight. No contradiction is found in their claim that Jacob is a knave if and only if James is a knight.

Assume Jacob is a knight. No contradiction is found in their claim that Penelope is a knave.

Penelope cannot be a knight, because this would contradict the claim of Jacob that Penelope is a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that James is a knight.

James cannot be a knight, because this would contradict the claim of Samuel that Jacob 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 Samuel is a knight or Jacob is a knave.

We have exhausted all possibilities for James and Penelope, so let us go back and reconsider Jacob.

Assume Jacob is a knave. No contradiction is found in their false claim that Penelope is a knave.

Assume Penelope is a knight. No contradiction is found in their claim that James is a knight.

Assume James is a knight. No contradiction is found in their claim that Samuel is a knight or Jacob is a knave.

Assume Liam is a knight. No contradiction is found in their claim that If Penelope is a knave then Samuel is a knight.

Sofia cannot be a knight, because this would contradict the claim of their own that Liam is a knave or James is a knave.

Assume Sofia is a knave. No contradiction is found in their false claim that Liam is a knave or James is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ella, Jackson, Mia, Owen, William, and Ethan. Ella said, "William is a knave." Jackson said that Ethan is a knight if and only if Jackson is a knight. Mia asserted: "Ethan is a knave if and only if Owen is a knight". "If Jackson is a knight then Ethan is a knave," Owen claimed. William stated, "If Ethan is a knave then Ella is a knave". Ethan commented, "Owen is not a knight". So who is a knight and who is a knave?

Ella is a knave, Jackson is a knight, Mia is a knight, Owen is a knave, William is a knight, and Ethan is a knight.

(1) Ella is a knave
(2) Jackson is a knight
(3) Mia is a knight
(4) Owen is a knave
(5) William is a knight
(6) Ethan is a knight

Assume Ella is a knight. No contradiction is found in their claim that William is a knave.

William cannot be a knight, because this would contradict the claim of Ella that William is a knave.

Assume William is a knave. No contradiction is found in their false claim that If Ethan is a knave then Ella is a knave.

Ethan cannot be a knight, because this would contradict the false claim of William that If Ethan is a knave then Ella is a knave.

Assume Ethan is a knave. No contradiction is found in their false claim that Owen is not a knight.

Assume Owen is a knight. No contradiction is found in their claim that If Jackson is a knight then Ethan is a knave.

Jackson cannot be a knight, because this would contradict the claim of their own that Ethan is a knight if and only if Jackson is a knight.

Jackson cannot be a knave, because this would contradict the false claim of their own that Ethan is a knight if and only if Jackson is a knight.

We have exhausted all possibilities for Jackson, so let us go back and reconsider Owen.

Owen cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Ethan is a knave.

We have exhausted all possibilities for Owen, Ethan, and William, so let us go back and reconsider Ella.

Assume Ella is a knave. No contradiction is found in their false claim that William is a knave.

Assume William is a knight. No contradiction is found in their claim that If Ethan is a knave then Ella is a knave.

Assume Ethan is a knight. No contradiction is found in their claim that Owen is not a knight.

Owen cannot be a knight, because this would contradict the claim of Ethan that Owen is not a knight.

Assume Owen is a knave. No contradiction is found in their false claim that If Jackson is a knight then Ethan is a knave.

Assume Jackson is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Jackson is a knight.

Assume Mia is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Owen is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Mason, Amelia, Zoey, Elizabeth, and Ethan. According to Michael, "Mason is a knight if and only if Amelia is a knight". According to Mason, "Ethan is a knave and Zoey is a knave". Amelia commented, "If Michael is a knave then Elizabeth is a knight". Zoey noted, "If Ethan is a knight then Amelia is a knight". Elizabeth noted, "If Zoey is a knave then Michael is a knight". Ethan said that Mason is a knight and Ethan is a knight. So who is a knight and who is a knave?

Michael Mason Amelia Zoey Elizabeth Ethan

Michael is a knave, Mason is a knave, Amelia is a knight, Zoey is a knight, Elizabeth is a knight, and Ethan is a knave.

(1) Michael is a knave
(2) Mason is a knave
(3) Amelia is a knight
(4) Zoey is a knight
(5) Elizabeth is a knight
(6) Ethan is a knave

Assume Michael is a knight. No contradiction is found in their claim that Mason is a knight if and only if Amelia is a knight.

Assume Mason is a knight. No contradiction is found in their claim that Ethan is a knave and Zoey is a knave.

Ethan cannot be a knight, because this would contradict the claim of Mason that Ethan is a knave and Zoey is a knave.

Assume Ethan is a knave. No contradiction is found in their false claim that Mason is a knight and Ethan is a knight.

Zoey cannot be a knight, because this would contradict the claim of Mason that Ethan is a knave and Zoey is a knave.

Zoey cannot be a knave, because this would contradict the false claim of their own that If Ethan is a knight then Amelia is a knight.

We have exhausted all possibilities for Zoey and Ethan, so let us go back and reconsider Mason.

Assume Mason is a knave. No contradiction is found in their false claim that Ethan is a knave and Zoey is a knave.

Ethan cannot be a knight, because this would contradict the claim of their own that Mason is a knight and Ethan is a knight.

Assume Zoey is a knight. No contradiction is found in their claim that If Ethan is a knight then Amelia is a knight.

Amelia cannot be a knight, because this would contradict the claim of Michael that Mason is a knight if and only if Amelia is a knight.

Amelia cannot be a knave, because this would contradict the false claim of their own that If Michael is a knave then Elizabeth is a knight.

We have exhausted all possibilities for Amelia, so let us go back and reconsider Zoey.

Zoey cannot be a knave, because this would contradict the false claim of Mason that Ethan is a knave and Zoey is a knave.

We have exhausted all possibilities for Zoey, Ethan, and Mason, so let us go back and reconsider Michael.

Assume Michael is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Amelia is a knight.

Assume Amelia is a knight. No contradiction is found in their claim that If Michael is a knave then Elizabeth is a knight.

Assume Elizabeth is a knight. No contradiction is found in their claim that If Zoey is a knave then Michael is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Logan, Aria, Scarlett, Joseph, and Sebastian. Luke noted, "Logan is a knave or Joseph is a knight". Logan asserted: "Luke is a knave or Luke is a knight". "Luke is a knight or Logan is a knight," Aria mentioned. Scarlett asserted: "Aria is a knave". In a statement by Joseph: "Sebastian is a knave". In Sebastian's words: "Aria is not a knave". So who is a knight and who is a knave?

Luke Logan Aria Scarlett Joseph Sebastian

Luke is a knave, Logan is a knight, Aria is a knight, Scarlett is a knave, Joseph is a knave, and Sebastian is a knight.

(1) Luke is a knave
(2) Logan is a knight
(3) Aria is a knight
(4) Scarlett is a knave
(5) Joseph is a knave
(6) Sebastian is a knight

Assume Luke is a knight. No contradiction is found in their claim that Logan is a knave or Joseph is a knight.

Assume Logan is a knight. No contradiction is found in their claim that Luke is a knave or Luke is a knight.

Assume Joseph is a knight. No contradiction is found in their claim that Sebastian is a knave.

Sebastian cannot be a knight, because this would contradict the claim of Joseph that Sebastian is a knave.

Assume Sebastian is a knave. No contradiction is found in their false claim that Aria is not a knave.

Aria cannot be a knight, because this would contradict the false claim of Sebastian that Aria is not a knave.

Aria cannot be a knave, because this would contradict the false claim of their own that Luke is a knight or Logan is a knight.

We have exhausted all possibilities for Aria and Sebastian, so let us go back and reconsider Joseph.

Joseph cannot be a knave, because this would contradict the claim of Luke that Logan is a knave or Joseph is a knight.

We have exhausted all possibilities for Joseph, so let us go back and reconsider Logan.

Logan cannot be a knave, because this would contradict the false claim of their own that Luke is a knave or Luke is a knight.

We have exhausted all possibilities for Logan, so let us go back and reconsider Luke.

Assume Luke is a knave. No contradiction is found in their false claim that Logan is a knave or Joseph is a knight.

Joseph cannot be a knight, because this would contradict the false claim of Luke that Logan is a knave or Joseph is a knight.

Assume Joseph is a knave. No contradiction is found in their false claim that Sebastian is a knave.

Assume Sebastian is a knight. No contradiction is found in their claim that Aria is not a knave.

Assume Aria is a knight. No contradiction is found in their claim that Luke is a knight or Logan is a knight.

Scarlett cannot be a knight, because this would contradict the claim of their own that Aria is a knave.

Assume Scarlett is a knave. No contradiction is found in their false claim that Aria is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Benjamin, Emily, Emma, Daniel, and Alexander. Scarlett expressed that Benjamin is a knave. Benjamin told you that Daniel is a knave or Daniel is a knight. Emily asserted: "Emma is a knight and Alexander is a knight". In Emma's words: "Scarlett is a knave if and only if Alexander is a knave". "Emma is a knave and Scarlett is a knight," Daniel declared. As Alexander put it, "Scarlett is a knave and Emily is a knave". So who is a knight and who is a knave?

Scarlett Benjamin Emily Emma Daniel Alexander

Scarlett is a knave, Benjamin is a knight, Emily is a knave, Emma is a knave, Daniel is a knave, and Alexander is a knight.

(1) Scarlett is a knave
(2) Benjamin is a knight
(3) Emily is a knave
(4) Emma is a knave
(5) Daniel is a knave
(6) Alexander is a knight

Assume Scarlett is a knight. No contradiction is found in their claim that Benjamin is a knave.

Benjamin cannot be a knight, because this would contradict the claim of Scarlett that Benjamin is a knave.

Benjamin cannot be a knave, because this would contradict the false claim of their own that Daniel is a knave or Daniel is a knight.

We have exhausted all possibilities for Benjamin, so let us go back and reconsider Scarlett.

Assume Scarlett is a knave. No contradiction is found in their false claim that Benjamin is a knave.

Assume Benjamin is a knight. No contradiction is found in their claim that Daniel is a knave or Daniel is a knight.

Daniel cannot be a knight, because this would contradict the claim of their own that Emma is a knave and Scarlett is a knight.

Assume Daniel is a knave. No contradiction is found in their false claim that Emma is a knave and Scarlett is a knight.

Assume Emma is a knight. No contradiction is found in their claim that Scarlett is a knave if and only if Alexander is a knave.

Alexander cannot be a knight, because this would contradict the claim of Emma that Scarlett is a knave if and only if Alexander is a knave.

Assume Alexander is a knave. No contradiction is found in their false claim that Scarlett is a knave and Emily is a knave.

Emily cannot be a knight, because this would contradict the claim of their own that Emma is a knight and Alexander is a knight.

Emily cannot be a knave, because this would contradict the false claim of Alexander that Scarlett is a knave and Emily is a knave.

We have exhausted all possibilities for Emily and Alexander, so let us go back and reconsider Emma.

Assume Emma is a knave. No contradiction is found in their false claim that Scarlett is a knave if and only if Alexander is a knave.

Assume Alexander is a knight. No contradiction is found in their claim that Scarlett is a knave and Emily is a knave.

Assume Emily is a knave. No contradiction is found in their false claim that Emma is a knight and Alexander is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Harper, Ava, Luke, Sophia, and Jack. In David's words: "Sophia is a knave and Sophia is a knight". Harper stated, "Luke is not a knave". In Ava's words: "David is a knave or Sophia is a knight". In a statement by Luke: "Ava is a knight if and only if David is a knave". Sophia expressed that David is a knave if and only if David is a knight. Jack said that Sophia is a knight if and only if Sophia is a knave. So who is a knight and who is a knave?

David is a knave, Harper is a knight, Ava is a knight, Luke is a knight, Sophia is a knave, and Jack is a knave.

(1) David is a knave
(2) Harper is a knight
(3) Ava is a knight
(4) Luke is a knight
(5) Sophia is a knave
(6) Jack is a knave

David cannot be a knight, because this would contradict the claim of their own that Sophia is a knave and Sophia is a knight.

Assume David is a knave. No contradiction is found in their false claim that Sophia is a knave and Sophia is a knight.

Sophia cannot be a knight, because this would contradict the claim of their own that David is a knave if and only if David is a knight.

Assume Sophia is a knave. No contradiction is found in their false claim that David is a knave if and only if David is a knight.

Assume Harper is a knight. No contradiction is found in their claim that Luke is not a knave.

Assume Luke is a knight. No contradiction is found in their claim that Ava is a knight if and only if David is a knave.

Assume Ava is a knight. No contradiction is found in their claim that David is a knave or Sophia is a knight.

Jack cannot be a knight, because this would contradict the claim of their own that Sophia is a knight if and only if Sophia is a knave.

Assume Jack is a knave. No contradiction is found in their false claim that Sophia is a knight if and only if Sophia is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, Benjamin, Matthew, Oliver, Emma, and Joseph. Grace told you that Matthew is a knave if and only if Joseph is a knight. Benjamin remarked, "Joseph is a knave or Grace is a knave". Matthew commented, "Benjamin is a knight or Oliver is a knight". Oliver told you that Benjamin is not a knight. According to Emma, "Joseph is a knight or Grace is a knave". Joseph stated, "Matthew is a knight". So who is a knight and who is a knave?

Grace Benjamin Matthew Oliver Emma Joseph

Grace is a knave, Benjamin is a knight, Matthew is a knight, Oliver is a knave, Emma is a knight, and Joseph is a knight.

(1) Grace is a knave
(2) Benjamin is a knight
(3) Matthew is a knight
(4) Oliver is a knave
(5) Emma is a knight
(6) Joseph is a knight

Assume Grace is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Joseph is a knight.

Assume Matthew is a knight. No contradiction is found in their claim that Benjamin is a knight or Oliver is a knight.

Assume Benjamin is a knight. No contradiction is found in their claim that Joseph is a knave or Grace is a knave.

Joseph cannot be a knight, because this would contradict the claim of Grace that Matthew is a knave if and only if Joseph is a knight.

Joseph cannot be a knave, because this would contradict the false claim of their own that Matthew is a knight.

We have exhausted all possibilities for Joseph, so let us go back and reconsider Benjamin.

Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knave or Grace is a knave.

Joseph cannot be a knave, because this would contradict the false claim of Benjamin that Joseph is a knave or Grace is a knave.

We have exhausted all possibilities for Joseph and Benjamin, so let us go back and reconsider Matthew.

Assume Matthew is a knave. No contradiction is found in their false claim that Benjamin is a knight or Oliver is a knight.

Benjamin cannot be a knight, because this would contradict the false claim of Matthew that Benjamin is a knight or Oliver is a knight.

Joseph cannot be a knight, because this would contradict the claim of their own that Matthew is a knight.

Joseph cannot be a knave, because this would contradict the claim of Grace that Matthew is a knave if and only if Joseph is a knight.

We have exhausted all possibilities for Joseph, Benjamin, and Matthew, so let us go back and reconsider Grace.

Assume Grace is a knave. No contradiction is found in their false claim that Matthew is a knave if and only if Joseph is a knight.

Assume Joseph is a knight. No contradiction is found in their claim that Matthew is a knight.

Oliver cannot be a knight, because this would contradict the claim of their own that Benjamin is not a knight.

Assume Oliver is a knave. No contradiction is found in their false claim that Benjamin is not a knight.

Assume Emma is a knight. No contradiction is found in their claim that Joseph is a knight or Grace is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jack, James, Daniel, Henry, Owen, and Chloe. "Chloe is a knave or Jack is a knight," Jack claimed. "Owen is a knave and Jack is a knave," James claimed. Daniel noted, "Henry is a knave". "Owen is a knight if and only if Jack is a knight" - Henry. Owen told you that If Jack is a knight then Jack is a knave. Chloe asserted: "Owen is a knave or James is a knight". So who is a knight and who is a knave?

Jack is a knight, James is a knave, Daniel is a knight, Henry is a knave, Owen is a knave, and Chloe is a knight.

(1) Jack is a knight
(2) James is a knave
(3) Daniel is a knight
(4) Henry is a knave
(5) Owen is a knave
(6) Chloe is a knight

Assume Jack is a knight. No contradiction is found in their claim that Chloe is a knave or Jack is a knight.

Assume Chloe is a knight. No contradiction is found in their claim that Owen is a knave or James is a knight.

Owen cannot be a knight, because this would contradict the claim of their own that If Jack is a knight then Jack is a knave.

Assume Owen is a knave. No contradiction is found in their false claim that If Jack is a knight then Jack is a knave.

James cannot be a knight, because this would contradict the claim of their own that Owen is a knave and Jack is a knave.

Assume James is a knave. No contradiction is found in their false claim that Owen is a knave and Jack is a knave.

Assume Daniel is a knight. No contradiction is found in their claim that Henry is a knave.

Henry cannot be a knight, because this would contradict the claim of Daniel that Henry is a knave.

Assume Henry is a knave. No contradiction is found in their false claim that Owen is a knight if and only if Jack is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Evelyn, Alexander, Luke, Joseph, and Penelope. In Mason's words: "Penelope is not a knave". Evelyn told you that Penelope is a knave and Luke is a knight. According to Alexander, "If Evelyn is a knave then Mason is a knave". Luke commented, "Luke is a knight or Evelyn is a knight". In Joseph's words: "Luke is a knight or Alexander is a knave". In Penelope's words: "Alexander is a knight and Evelyn is a knight". So who is a knight and who is a knave?

Mason Evelyn Alexander Luke Joseph Penelope

Mason is a knave, Evelyn is a knave, Alexander is a knight, Luke is a knave, Joseph is a knave, and Penelope is a knave.

(1) Mason is a knave
(2) Evelyn is a knave
(3) Alexander is a knight
(4) Luke is a knave
(5) Joseph is a knave
(6) Penelope is a knave

Assume Mason is a knight. No contradiction is found in their claim that Penelope is not a knave.

Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knight and Evelyn is a knight.

Assume Alexander is a knight. No contradiction is found in their claim that If Evelyn is a knave then Mason is a knave.

Evelyn cannot be a knight, because this would contradict the claim of their own that Penelope is a knave and Luke is a knight.

Evelyn cannot be a knave, because this would contradict the claim of Alexander that If Evelyn is a knave then Mason is a knave.

We have exhausted all possibilities for Evelyn, so let us go back and reconsider Alexander.

Alexander cannot be a knave, because this would contradict the claim of Penelope that Alexander is a knight and Evelyn is a knight.

We have exhausted all possibilities for Alexander, so let us go back and reconsider Penelope.

Penelope cannot be a knave, because this would contradict the claim of Mason that Penelope is not a knave.

We have exhausted all possibilities for Penelope, so let us go back and reconsider Mason.

Assume Mason is a knave. No contradiction is found in their false claim that Penelope is not a knave.

Penelope cannot be a knight, because this would contradict the false claim of Mason that Penelope is not a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that Alexander is a knight and Evelyn is a knight.

Evelyn cannot be a knight, because this would contradict the false claim of Penelope that Alexander is a knight and Evelyn is a knight.

Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knave and Luke is a knight.

Luke cannot be a knight, because this would contradict the false claim of Evelyn that Penelope is a knave and Luke is a knight.

Assume Luke is a knave. No contradiction is found in their false claim that Luke is a knight or Evelyn is a knight.

Joseph cannot be a knight, because this would contradict the claim of their own that Luke is a knight or Alexander is a knave.

Assume Joseph is a knave. No contradiction is found in their false claim that Luke is a knight or Alexander is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, Isabella, Amelia, Victoria, Noah, and Mason. Joseph told you that Amelia is a knight if and only if Isabella is a knave. Isabella said that Noah is a knave and Isabella is a knight. Amelia expressed that Noah is a knave if and only if Isabella is a knight. "Amelia is a knave," Victoria mentioned. "If Mason is a knight then Victoria is a knave" - Noah. Mason asserted: "If Mason is a knight then Joseph is a knight". So who is a knight and who is a knave?

Joseph Isabella Amelia Victoria Noah Mason

Joseph is a knight, Isabella is a knave, Amelia is a knight, Victoria is a knave, Noah is a knight, and Mason is a knight.

(1) Joseph is a knight
(2) Isabella is a knave
(3) Amelia is a knight
(4) Victoria is a knave
(5) Noah is a knight
(6) Mason is a knight

Assume Joseph is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Isabella is a knave.

Assume Amelia is a knight. No contradiction is found in their claim that Noah is a knave if and only if Isabella is a knight.

Assume Noah is a knight. No contradiction is found in their claim that If Mason is a knight then Victoria is a knave.

Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Joseph is a knight.

Victoria cannot be a knight, because this would contradict the claim of their own that Amelia is a knave.

Assume Victoria is a knave. No contradiction is found in their false claim that Amelia is a knave.

Isabella cannot be a knight, because this would contradict the claim of Joseph that Amelia is a knight if and only if Isabella is a knave.

Assume Isabella is a knave. No contradiction is found in their false claim that Noah is a knave and Isabella is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Daniel, Sebastian, Victoria, Sofia, and William. "Daniel is a knight or William is a knave," David mentioned. Daniel stated, "Victoria is a knight if and only if David is a knight". Sebastian said, "William is a knave or Victoria is a knave." "William is not a knave," Victoria mentioned. "If David is a knave then Sebastian is a knave" - Sofia. William stated, "David is a knight if and only if Sofia is a knight". So who is a knight and who is a knave?

David Daniel Sebastian Victoria Sofia William

David is a knight, Daniel is a knight, Sebastian is a knave, Victoria is a knight, Sofia is a knight, and William is a knight.

(1) David is a knight
(2) Daniel is a knight
(3) Sebastian is a knave
(4) Victoria is a knight
(5) Sofia is a knight
(6) William is a knight

Assume David is a knight. No contradiction is found in their claim that Daniel is a knight or William is a knave.

Assume Daniel is a knight. No contradiction is found in their claim that Victoria is a knight if and only if David is a knight.

Assume Victoria 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 if and only if Sofia is a knight.

Assume Sofia is a knight. No contradiction is found in their claim that If David is a knave then Sebastian is a knave.

Sebastian cannot be a knight, because this would contradict the claim of their own that William is a knave or Victoria is a knave.

Assume Sebastian is a knave. No contradiction is found in their false claim that William is a knave or Victoria is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Sophia, Daniel, Olivia, Jackson, and Lucas. Oliver noted, "If Daniel is a knight then Daniel is a knave". "Daniel is a knight," Sophia claimed. Daniel was heard saying, "Jackson is a knave if and only if Daniel is a knight". Olivia said that Oliver is a knight and Lucas is a knave. Jackson told you that Daniel is not a knight. "Oliver is a knight or Daniel is a knight," Lucas mentioned. So who is a knight and who is a knave?

Oliver Sophia Daniel Olivia Jackson Lucas

Oliver is a knave, Sophia is a knight, Daniel is a knight, Olivia is a knave, Jackson is a knave, and Lucas is a knight.

(1) Oliver is a knave
(2) Sophia is a knight
(3) Daniel is a knight
(4) Olivia is a knave
(5) Jackson is a knave
(6) Lucas is a knight

Assume Oliver is a knight. No contradiction is found in their claim that If Daniel is a knight then Daniel is a knave.

Daniel cannot be a knight, because this would contradict the claim of Oliver that If Daniel is a knight then Daniel is a knave.

Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knave if and only if Daniel is a knight.

Jackson cannot be a knight, because this would contradict the false claim of Daniel that Jackson is a knave if and only if Daniel is a knight.

Jackson cannot be a knave, because this would contradict the false claim of their own that Daniel is not a knight.

We have exhausted all possibilities for Jackson and Daniel, so let us go back and reconsider Oliver.

Assume Oliver is a knave. No contradiction is found in their false claim that If Daniel is a knight then Daniel is a knave.

Assume Daniel is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Daniel is a knight.

Jackson cannot be a knight, because this would contradict the claim of Daniel that Jackson is a knave if and only if Daniel is a knight.

Assume Jackson is a knave. No contradiction is found in their false claim that Daniel is not a knight.

Assume Sophia is a knight. No contradiction is found in their claim that Daniel is a knight.

Olivia cannot be a knight, because this would contradict the claim of their own that Oliver is a knight and Lucas is a knave.

Assume Olivia is a knave. No contradiction is found in their false claim that Oliver is a knight and Lucas is a knave.

Assume Lucas is a knight. No contradiction is found in their claim that Oliver is a knight or Daniel is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Zoey, Mia, Michael, Sebastian, Jack, and Aiden. "Mia is a knight or Aiden is a knave" - Zoey. Mia asserted: "Michael is not a knight". "Jack is a knave or Aiden is a knight" - Michael. In a statement by Sebastian: "Zoey is a knave or Aiden is a knight". Jack stated, "Jack is a knight or Aiden is a knight". Aiden expressed that Michael is a knave. So who is a knight and who is a knave?

Zoey is a knight, Mia is a knave, Michael is a knight, Sebastian is a knave, Jack is a knave, and Aiden is a knave.

(1) Zoey is a knight
(2) Mia is a knave
(3) Michael is a knight
(4) Sebastian is a knave
(5) Jack is a knave
(6) Aiden is a knave

Assume Zoey is a knight. No contradiction is found in their claim that Mia is a knight or Aiden is a knave.

Assume Mia is a knight. No contradiction is found in their claim that Michael is not a knight.

Michael cannot be a knight, because this would contradict the claim of Mia that Michael is not a knight.

Assume Michael is a knave. No contradiction is found in their false claim that Jack is a knave or Aiden is a knight.

Assume Jack is a knight. No contradiction is found in their claim that Jack is a knight or Aiden is a knight.

Aiden cannot be a knight, because this would contradict the false claim of Michael that Jack is a knave or Aiden is a knight.

Aiden cannot be a knave, because this would contradict the false claim of their own that Michael is a knave.

We have exhausted all possibilities for Aiden, so let us go back and reconsider Jack.

Jack cannot be a knave, because this would contradict the false claim of Michael that Jack is a knave or Aiden is a knight.

We have exhausted all possibilities for Jack and Michael, so let us go back and reconsider Mia.

Assume Mia is a knave. No contradiction is found in their false claim that Michael is not a knight.

Assume Michael is a knight. No contradiction is found in their claim that Jack is a knave or Aiden is a knight.

Aiden cannot be a knight, because this would contradict the claim of Zoey that Mia is a knight or Aiden is a knave.

Aiden cannot be a knave, because this would contradict the claim of Michael that Jack is a knave or Aiden is a knight.

Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight or Aiden is a knight.

Assume Aiden is a knave. No contradiction is found in their false claim that Michael is a knave.

Sebastian cannot be a knight, because this would contradict the claim of their own that Zoey is a knave or Aiden is a knight.

Assume Sebastian is a knave. No contradiction is found in their false claim that Zoey is a knave or Aiden is a knight.

(('or', ('telling-truth', 1), ('lying', 5)), ('not', ('telling-truth', 2)), ('or', ('lying', 4), ('telling-truth', 5)), ('or', ('lying', 0), ('telling-truth', 5)), ('or', ('telling-truth', 4), ('telling-truth', 5)), ('lying', 2))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Lucas, Victoria, Isabella, Jack, Daniel, and Emma. Lucas expressed that Emma is not a knight. Victoria commented, "Isabella is not a knave". Isabella stated, "Isabella is a knight or Emma is a knave". "Jack is a knight and Emma is a knave" - Jack. In a statement by Daniel: "Lucas is not a knave". Emma commented, "Jack is a knight". So who is a knight and who is a knave?

Lucas Victoria Isabella Jack Daniel Emma

Lucas is a knight, Victoria is a knight, Isabella is a knight, Jack is a knave, Daniel is a knight, and Emma is a knave.

(1) Lucas is a knight
(2) Victoria is a knight
(3) Isabella is a knight
(4) Jack is a knave
(5) Daniel is a knight
(6) Emma is a knave

Assume Lucas is a knight. No contradiction is found in their claim that Emma is not a knight.

Emma cannot be a knight, because this would contradict the claim of Lucas that Emma is not a knight.

Assume Emma is a knave. No contradiction is found in their false claim that Jack is a knight.

Jack cannot be a knight, because this would contradict the false claim of Emma that Jack is a knight.

Assume Jack is a knave. No contradiction is found in their false claim that Jack is a knight and Emma is a knave.

Assume Victoria is a knight. No contradiction is found in their claim that Isabella is not a knave.

Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight or Emma is a knave.

Assume Daniel is a knight. No contradiction is found in their claim that Lucas is not a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Riley, Jack, Samuel, Scarlett, Abigail, and James. Riley was heard saying, "Scarlett is a knave and Jack is a knave". "Abigail is a knave," Jack mentioned. "If Abigail is a knight then Jack is a knight," Samuel claimed. "James is a knave or Abigail is a knight," Scarlett mentioned. "If Scarlett is a knight then Samuel is a knave," Abigail mentioned. "Abigail is a knave," James declared. So who is a knight and who is a knave?

Riley Jack Samuel Scarlett Abigail James

Riley is a knave, Jack is a knave, Samuel is a knave, Scarlett is a knight, Abigail is a knight, and James is a knave.

(1) Riley is a knave
(2) Jack is a knave
(3) Samuel is a knave
(4) Scarlett is a knight
(5) Abigail is a knight
(6) James is a knave

Assume Riley is a knight. No contradiction is found in their claim that Scarlett is a knave and Jack is a knave.

Scarlett cannot be a knight, because this would contradict the claim of Riley that Scarlett is a knave and Jack is a knave.

Assume Scarlett is a knave. No contradiction is found in their false claim that James is a knave or Abigail is a knight.

Assume James 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 false claim of Scarlett that James is a knave or Abigail is a knight.

Abigail cannot be a knave, because this would contradict the false claim of their own that If Scarlett is a knight then Samuel is a knave.

We have exhausted all possibilities for Abigail, so let us go back and reconsider James.

James cannot be a knave, because this would contradict the false claim of Scarlett that James is a knave or Abigail is a knight.

We have exhausted all possibilities for James and Scarlett, so let us go back and reconsider Riley.

Assume Riley is a knave. No contradiction is found in their false claim that Scarlett is a knave and Jack is a knave.

Assume Scarlett is a knight. No contradiction is found in their claim that James is a knave or Abigail is a knight.

Abigail cannot be a knight, because this would contradict the claim of James that Abigail is a knave.

Abigail cannot be a knave, because this would contradict the claim of Scarlett that James is a knave or Abigail is a knight.

Assume James 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 If Scarlett is a knight then Samuel is a knave.

Samuel cannot be a knight, because this would contradict the claim of Abigail that If Scarlett is a knight then Samuel is a knave.

Assume Samuel is a knave. No contradiction is found in their false claim that If Abigail is a knight then Jack is a knight.

Jack cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.

Assume Jack is a knave. No contradiction is found in their false claim that Abigail is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, Isabella, William, Ella, Lily, and Emma. Joseph asserted: "If Ella is a knave then Emma is a knight". "If William is a knave then Isabella is a knight" - Isabella. William told you that William is a knight or Joseph is a knight. "Isabella is a knave or William is a knight," Ella mentioned. Lily expressed that Ella is a knight if and only if Joseph is a knave. Emma told you that Joseph is a knave and William is a knave. So who is a knight and who is a knave?

Joseph is a knight, Isabella is a knight, William is a knight, Ella is a knight, Lily is a knave, and Emma is a knave.

(1) Joseph is a knight
(2) Isabella is a knight
(3) William is a knight
(4) Ella is a knight
(5) Lily is a knave
(6) Emma is a knave

Assume Joseph is a knight. No contradiction is found in their claim that If Ella is a knave then Emma is a knight.

Assume Ella is a knight. No contradiction is found in their claim that Isabella is a knave or William is a knight.

Assume Isabella is a knight. No contradiction is found in their claim that If William is a knave then Isabella is a knight.

Assume William is a knight. No contradiction is found in their claim that William is a knight or Joseph is a knight.

Emma cannot be a knight, because this would contradict the claim of their own that Joseph is a knave and William is a knave.

Assume Emma is a knave. No contradiction is found in their false claim that Joseph is a knave and William is a knave.

Lily cannot be a knight, because this would contradict the claim of their own that Ella is a knight if and only if Joseph is a knave.

Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knight if and only if Joseph is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Olivia, Aurora, Victoria, Noah, Lucas, and Jackson. Olivia remarked, "If Lucas is a knave then Aurora is a knave". Aurora commented, "If Jackson is a knight then Lucas is a knight". In a statement by Victoria: "If Aurora is a knave then Noah is a knave". Noah commented, "If Lucas is a knight then Jackson is a knight". In a statement by Lucas: "If Aurora is a knave then Olivia is a knave". Jackson remarked, "Aurora is a knight if and only if Victoria is a knave". So who is a knight and who is a knave?

Olivia Aurora Victoria Noah Lucas Jackson

Olivia is a knight, Aurora is a knight, Victoria is a knight, Noah is a knave, Lucas is a knight, and Jackson is a knave.

(1) Olivia is a knight
(2) Aurora is a knight
(3) Victoria is a knight
(4) Noah is a knave
(5) Lucas is a knight
(6) Jackson is a knave

Assume Olivia is a knight. No contradiction is found in their claim that If Lucas is a knave then Aurora is a knave.

Assume Lucas is a knight. No contradiction is found in their claim that If Aurora is a knave then Olivia is a knave.

Assume Aurora is a knight. No contradiction is found in their claim that If Jackson is a knight then Lucas is a knight.

Assume Jackson is a knight. No contradiction is found in their claim that Aurora is a knight if and only if Victoria is a knave.

Victoria cannot be a knight, because this would contradict the claim of Jackson that Aurora is a knight if and only if Victoria is a knave.

Victoria cannot be a knave, because this would contradict the false claim of their own that If Aurora is a knave then Noah is a knave.

We have exhausted all possibilities for Victoria, so let us go back and reconsider Jackson.

Assume Jackson is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Victoria is a knave.

Assume Victoria is a knight. No contradiction is found in their claim that If Aurora is a knave then Noah is a knave.

Noah cannot be a knight, because this would contradict the claim of their own that If Lucas is a knight then Jackson is a knight.

Assume Noah is a knave. No contradiction is found in their false claim that If Lucas is a knight then Jackson is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jacob, Alexander, Charlotte, Harper, Elizabeth, and Zoey. In Jacob's words: "Alexander is a knight". "If Alexander is a knight then Jacob is a knight" - Alexander. According to Charlotte, "Elizabeth is not a knave". Harper said that Charlotte is a knight. Elizabeth was heard saying, "Alexander is a knave and Charlotte is a knave". According to Zoey, "Jacob is a knave". So who is a knight and who is a knave?

Jacob Alexander Charlotte Harper Elizabeth Zoey

Jacob is a knight, Alexander is a knight, Charlotte is a knave, Harper is a knave, Elizabeth is a knave, and Zoey is a knave.

(1) Jacob is a knight
(2) Alexander is a knight
(3) Charlotte is a knave
(4) Harper is a knave
(5) Elizabeth is a knave
(6) Zoey is a knave

Assume Jacob is a knight. No contradiction is found in their claim that Alexander is a knight.

Assume Alexander is a knight. No contradiction is found in their claim that If Alexander is a knight then Jacob is a knight.

Assume Charlotte is a knight. No contradiction is found in their claim that Elizabeth is not a knave.

Elizabeth cannot be a knight, because this would contradict the claim of their own that Alexander is a knave and Charlotte is a knave.

Elizabeth cannot be a knave, because this would contradict the claim of Charlotte that Elizabeth is not a knave.

We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Charlotte.

Assume Charlotte is a knave. No contradiction is found in their false claim that Elizabeth is not a knave.

Elizabeth cannot be a knight, because this would contradict the false claim of Charlotte that Elizabeth is not a knave.

Assume Elizabeth is a knave. No contradiction is found in their false claim that Alexander is a knave and Charlotte is a knave.

Harper cannot be a knight, because this would contradict the claim of their own that Charlotte is a knight.

Assume Harper is a knave. No contradiction is found in their false claim that Charlotte is a knight.

Zoey cannot be a knight, because this would contradict the claim of their own that Jacob is a knave.

Assume Zoey is a knave. No contradiction is found in their false claim that Jacob is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sofia, Aiden, Grace, Emma, Michael, and Avery. In a statement by Sofia: "Aiden is a knight if and only if Avery is a knight". In a statement by Aiden: "Emma is not a knight". Grace was heard saying, "Sofia is a knight". In Emma's words: "Avery is a knight if and only if Michael is a knave". Michael expressed that Michael is a knight and Grace is a knight. Avery expressed that Grace is a knave and Aiden is a knight. So who is a knight and who is a knave?

Sofia is a knight, Aiden is a knave, Grace is a knight, Emma is a knight, Michael is a knight, and Avery is a knave.

(1) Sofia is a knight
(2) Aiden is a knave
(3) Grace is a knight
(4) Emma is a knight
(5) Michael is a knight
(6) Avery is a knave

Assume Sofia is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Avery is a knight.

Assume Aiden is a knight. No contradiction is found in their claim that Emma is not a knight.

Emma cannot be a knight, because this would contradict the claim of Aiden that Emma is not a knight.

Assume Emma is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Michael is a knave.

Assume Avery is a knight. No contradiction is found in their claim that Grace is a knave and Aiden is a knight.

Grace cannot be a knight, because this would contradict the claim of Avery that Grace is a knave and Aiden is a knight.

Grace cannot be a knave, because this would contradict the false claim of their own that Sofia is a knight.

We have exhausted all possibilities for Grace, so let us go back and reconsider Avery.

Avery cannot be a knave, because this would contradict the claim of Sofia that Aiden is a knight if and only if Avery is a knight.

We have exhausted all possibilities for Avery and Emma, so let us go back and reconsider Aiden.

Assume Aiden is a knave. No contradiction is found in their false claim that Emma is not a knight.

Assume Emma is a knight. No contradiction is found in their claim that Avery is a knight if and only if Michael is a knave.

Avery cannot be a knight, because this would contradict the claim of Sofia that Aiden is a knight if and only if Avery is a knight.

Assume Avery is a knave. No contradiction is found in their false claim that Grace is a knave and Aiden is a knight.

Assume Grace is a knight. No contradiction is found in their claim that Sofia is a knight.

Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight and Grace is a knight.

(('<=>', ('telling-truth', 1), ('telling-truth', 5)), ('not', ('telling-truth', 3)), ('telling-truth', 0), ('<=>', ('telling-truth', 5), ('lying', 4)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('lying', 2), ('telling-truth', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Henry, Jack, Grace, Daniel, and Elizabeth. Ava commented, "Grace is a knave or Ava is a knight". As Henry put it, "Elizabeth is a knight or Jack is a knave". Jack told you that Daniel is a knight. Grace said that Jack is a knight or Ava is a knave. As Daniel put it, "Ava is a knave and Elizabeth is a knight". Elizabeth stated, "If Elizabeth is a knight then Jack is a knight". So who is a knight and who is a knave?

Ava is a knave, Henry is a knight, Jack is a knight, Grace is a knight, Daniel is a knight, and Elizabeth is a knight.

(1) Ava is a knave
(2) Henry is a knight
(3) Jack is a knight
(4) Grace is a knight
(5) Daniel is a knight
(6) Elizabeth is a knight

Assume Ava is a knight. No contradiction is found in their claim that Grace is a knave or Ava is a knight.

Assume Grace is a knight. No contradiction is found in their claim that Jack is a knight or Ava is a knave.

Assume Jack is a knight. No contradiction is found in their claim that Daniel is a knight.

Daniel cannot be a knight, because this would contradict the claim of their own that Ava is a knave and Elizabeth is a knight.

Daniel cannot be a knave, because this would contradict the claim of Jack that Daniel is a knight.

We have exhausted all possibilities for Daniel, so let us go back and reconsider Jack.

Jack cannot be a knave, because this would contradict the claim of Grace that Jack is a knight or Ava is a knave.

We have exhausted all possibilities for Jack, so let us go back and reconsider Grace.

Assume Grace is a knave. No contradiction is found in their false claim that Jack is a knight or Ava is a knave.

Jack cannot be a knight, because this would contradict the false claim of Grace that Jack is a knight or Ava is a knave.

Assume Jack is a knave. No contradiction is found in their false claim that Daniel is a knight.

Daniel cannot be a knight, because this would contradict the false claim of Jack that Daniel is a knight.

Assume Daniel is a knave. No contradiction is found in their false claim that Ava is a knave and Elizabeth is a knight.

Elizabeth cannot be a knight, because this would contradict the claim of their own that If Elizabeth is a knight then Jack is a knight.

Elizabeth cannot be a knave, because this would contradict the false claim of their own that If Elizabeth is a knight then Jack is a knight.

We have exhausted all possibilities for Elizabeth, Daniel, Jack, and Grace, so let us go back and reconsider Ava.

Assume Ava is a knave. No contradiction is found in their false claim that Grace is a knave or Ava is a knight.

Assume Daniel is a knight. No contradiction is found in their claim that Ava is a knave and Elizabeth is a knight.

Assume Elizabeth is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Jack is a knight.

Assume Henry is a knight. No contradiction is found in their claim that Elizabeth is a knight or Jack is a knave.

(('or', ('lying', 3), ('telling-truth', 0)), ('or', ('telling-truth', 5), ('lying', 2)), ('telling-truth', 4), ('or', ('telling-truth', 2), ('lying', 0)), ('and', ('lying', 0), ('telling-truth', 5)), ('->', ('telling-truth', 5), ('telling-truth', 2)))