A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jackson, Harper, and Alexander. Jackson noted, "Alexander is a knight or Harper is a knave". Harper said that Jackson is a knight if and only if Alexander is a knave. As Alexander put it, "Harper is a knight or Harper is a knave". So who is a knight and who is a knave?

Jackson is a knight, Harper is a knave, and Alexander is a knight.

(1) Jackson is a knight
(2) Harper is a knave
(3) Alexander is a knight

Assume Jackson is a knight. No contradiction is found in their claim that Alexander is a knight or Harper is a knave.

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

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

Assume Harper is a knave. No contradiction is found in their false claim that Jackson is a knight if and only if 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 3 inhabitants: Oliver, Evelyn, and Jacob. "Jacob is a knight if and only if Jacob is a knave," Oliver declared. As Evelyn put it, "Oliver is a knave". "If Jacob is a knight then Oliver is a knave," Jacob claimed. So who is a knight and who is a knave?

Oliver is a knave, Evelyn is a knight, and Jacob is a knight.

(1) Oliver is a knave
(2) Evelyn is a knight
(3) Jacob is a knight

Let's think step by step, by considering whether each person is lying and if that leads to contradiction.

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that Oliver 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 3 inhabitants: Ava, Lily, and Mason. As Ava put it, "If Lily is a knave then Mason is a knight". "Lily is a knight and Mason is a knave" - Lily. "If Lily is a knave then Lily is a knight" - Mason. So who is a knight and who is a knave?

Ava is a knave, Lily is a knave, and Mason is a knave.

(1) Ava is a knave
(2) Lily is a knave
(3) Mason is a knave

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that If Lily is a knave then Mason is a knight.

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

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

Assume Mason is a knave. No contradiction is found in their false claim that If Lily is a knave then Lily 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 3 inhabitants: Emily, Olivia, and Harper. Emily commented, "Olivia is a knight or Olivia is a knave". Olivia remarked, "Emily is a knight or Harper is a knight". Harper said that Olivia is a knight and Emily is a knave. So who is a knight and who is a knave?

Emily is a knight, Olivia is a knight, and Harper is a knave.

(1) Emily is a knight
(2) Olivia is a knight
(3) Harper is a knave

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

Assume Olivia is a knight. No contradiction is found in their claim that Emily is a knight or Harper is a knight.

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

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

(('or', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('lying', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Amelia, Isabella, and Lucas. Amelia asserted: "Lucas is not a knight". Isabella was heard saying, "Amelia is a knave if and only if Lucas is a knave". Lucas said that Amelia is a knight or Isabella is a knave. So who is a knight and who is a knave?

Amelia is a knave, Isabella is a knave, and Lucas is a knight.

(1) Amelia is a knave
(2) Isabella is a knave
(3) Lucas is a knight

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

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

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

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

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

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Lucas 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 3 inhabitants: Emily, Isabella, and Zoey. Emily expressed that Zoey is a knave. Isabella asserted: "Isabella is a knight or Emily is a knave". According to Zoey, "Isabella is a knave if and only if Emily is a knave". So who is a knight and who is a knave?

Emily is a knight, Isabella is a knave, and Zoey is a knave.

(1) Emily is a knight
(2) Isabella is a knave
(3) Zoey is a knave

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

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

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight or 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 3 inhabitants: Lily, Victoria, and Matthew. Lily noted, "Victoria is a knave or Victoria is a knight". According to Victoria, "Lily is a knight or Matthew is a knave". Matthew said, "Lily is a knave." So who is a knight and who is a knave?

Lily is a knight, Victoria is a knight, and Matthew is a knave.

(1) Lily is a knight
(2) Victoria is a knight
(3) Matthew is a knave

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Lily 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 3 inhabitants: Aurora, Scarlett, and Harper. According to Aurora, "Harper is a knight or Scarlett is a knave". Scarlett said, "Harper is a knave if and only if Aurora is a knave." Harper said that Aurora is a knave. So who is a knight and who is a knave?

Aurora is a knight, Scarlett is a knave, and Harper is a knave.

(1) Aurora is a knight
(2) Scarlett is a knave
(3) Harper is a knave

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Harper is a knave if and only if Aurora 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 3 inhabitants: Ella, Joseph, and William. In a statement by Ella: "William is a knight". "William is a knight and Joseph is a knight," Joseph declared. William commented, "Joseph is a knight if and only if William is a knight". So who is a knight and who is a knave?

Ella is a knight, Joseph is a knight, and William is a knight.

(1) Ella is a knight
(2) Joseph is a knight
(3) William is a knight

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

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

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

(('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Ella, David, and Grace. Ella said that Grace is not a knight. David told you that Grace is a knave or David is a knight. According to Grace, "David is not a knave". So who is a knight and who is a knave?

Ella is a knave, David is a knight, and Grace is a knight.

(1) Ella is a knave
(2) David is a knight
(3) Grace is a knight

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

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

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

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

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

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

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

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

Assume David is a knight. No contradiction is found in their claim that Grace is a knave or 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 3 inhabitants: Avery, Jacob, and Riley. Avery told you that Riley is not a knight. "Jacob is a knight," Jacob mentioned. As Riley put it, "If Riley is a knight then Jacob is a knight". So who is a knight and who is a knave?

Avery is a knave, Jacob is a knight, and Riley is a knight.

(1) Avery is a knave
(2) Jacob is a knight
(3) Riley is a knight

Assume Avery is a knight. No contradiction is found in their claim that Riley is not a knight.

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

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

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

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

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

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

(('not', ('telling-truth', 2)), ('telling-truth', 1), ('->', ('telling-truth', 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 3 inhabitants: Chloe, Sofia, and Grace. Chloe commented, "Sofia is a knight or Grace is a knight". In Sofia's words: "If Chloe is a knight then Chloe is a knave". Grace said that Grace is a knight and Sofia is a knave. So who is a knight and who is a knave?

Chloe is a knight, Sofia is a knave, and Grace is a knight.

(1) Chloe is a knight
(2) Sofia is a knave
(3) Grace is a knight

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

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

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

Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight and Sofia 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 3 inhabitants: Abigail, Oliver, and Matthew. In Abigail's words: "Oliver is a knave and Abigail is a knight". "Oliver is a knight," Oliver declared. As Matthew put it, "If Matthew is a knight then Oliver is a knight". So who is a knight and who is a knave?

Abigail is a knave, Oliver is a knight, and Matthew is a knight.

(1) Abigail is a knave
(2) Oliver is a knight
(3) Matthew is a knight

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

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

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

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

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

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

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

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

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

(('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 1), ('->', ('telling-truth', 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 3 inhabitants: Emily, Oliver, and Abigail. Emily stated, "If Abigail is a knave then Oliver is a knave". "Emily is not a knight" - Oliver. Abigail expressed that Oliver is a knight. So who is a knight and who is a knave?

Emily is a knight, Oliver is a knave, and Abigail is a knave.

(1) Emily is a knight
(2) Oliver is a knave
(3) Abigail is a knave

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

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

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

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

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

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Emily 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 3 inhabitants: Liam, Ella, and Luke. "Luke is a knave" - Liam. "Liam is a knave and Liam is a knight," Ella mentioned. "Liam is a knave and Ella is a knight" - Luke. So who is a knight and who is a knave?

Liam is a knight, Ella is a knave, and Luke is a knave.

(1) Liam is a knight
(2) Ella is a knave
(3) Luke is a knave

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

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

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

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

Assume Ella is a knave. No contradiction is found in their false claim that Liam is a knave and Liam 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 3 inhabitants: Michael, Harper, and Charlotte. Michael expressed that Harper is not a knight. Harper remarked, "Charlotte is a knight or Charlotte is a knave". In a statement by Charlotte: "Michael is a knave". So who is a knight and who is a knave?

Michael is a knave, Harper is a knight, and Charlotte is a knight.

(1) Michael is a knave
(2) Harper is a knight
(3) Charlotte is a knight

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

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

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

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

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

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

Assume Charlotte is a knight. No contradiction is found in their claim that Michael 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 3 inhabitants: Harper, Charlotte, and Elizabeth. In a statement by Harper: "If Harper is a knight then Elizabeth is a knave". "Harper is a knave and Elizabeth is a knave" - Charlotte. In Elizabeth's words: "Elizabeth is a knight if and only if Harper is a knight". So who is a knight and who is a knave?

Harper is a knight, Charlotte is a knave, and Elizabeth is a knave.

(1) Harper is a knight
(2) Charlotte is a knave
(3) Elizabeth is a knave

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Harper is a knave and Elizabeth 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 3 inhabitants: Victoria, Lily, and Lucas. "If Victoria is a knight then Lucas is a knave," Victoria mentioned. "Lucas is a knight and Lily is a knight" - Lily. "Lily is a knight," Lucas claimed. So who is a knight and who is a knave?

Victoria is a knight, Lily is a knave, and Lucas is a knave.

(1) Victoria is a knight
(2) Lily is a knave
(3) Lucas is a knave

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

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

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

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

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

(('->', ('telling-truth', 0), ('lying', 2)), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('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 3 inhabitants: Ethan, Ava, and Henry. Ethan remarked, "Ava is not a knight". Ava was heard saying, "Henry is a knight if and only if Henry is a knave". Henry said that Ethan is a knight or Ava is a knight. So who is a knight and who is a knave?

Ethan is a knight, Ava is a knave, and Henry is a knight.

(1) Ethan is a knight
(2) Ava is a knave
(3) Henry is a knight

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

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

Assume Ava 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 or Ava is a knight.

(('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 2), ('lying', 2)), ('or', ('telling-truth', 0), ('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 3 inhabitants: Aria, Henry, and Aiden. Aria said that Henry is a knave and Aiden is a knave. Henry asserted: "Aria is a knight". Aiden said that If Henry is a knight then Aria is a knight. So who is a knight and who is a knave?

Aria is a knave, Henry is a knave, and Aiden is a knight.

(1) Aria is a knave
(2) Henry is a knave
(3) Aiden is a knight

Assume Aria is a knight. No contradiction is found in their claim that Henry is a knave and Aiden is a knave.

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

Henry 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 Henry, so let us go back and reconsider Aria.

Assume Aria is a knave. No contradiction is found in their false claim that Henry is a knave and Aiden is a knave.

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

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

Assume Aiden is a knight. No contradiction is found in their claim that If Henry is a knight then 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 3 inhabitants: Avery, Owen, and Jacob. In Avery's words: "Avery is a knight or Jacob is a knight". Owen was heard saying, "If Jacob is a knave then Avery is a knight". According to Jacob, "Avery is a knave if and only if Owen is a knave". So who is a knight and who is a knave?

Avery is a knight, Owen is a knight, and Jacob is a knight.

(1) Avery is a knight
(2) Owen is a knight
(3) Jacob is a knight

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

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

Assume Owen is a knight. No contradiction is found in their claim that If Jacob is a knave then Avery 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 3 inhabitants: Mia, Evelyn, and Isabella. Mia was heard saying, "Isabella is a knave if and only if Evelyn is a knave". Evelyn said that Mia is a knight and Isabella is a knave. "Evelyn is not a knight," Isabella declared. So who is a knight and who is a knave?

Mia is a knave, Evelyn is a knave, and Isabella is a knight.

(1) Mia is a knave
(2) Evelyn is a knave
(3) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Evelyn is a knave. No contradiction is found in their false claim that Mia is a knight and Isabella 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 3 inhabitants: Victoria, Liam, and Penelope. As Victoria put it, "Victoria is a knight and Liam is a knave". Liam noted, "Penelope is a knight or Penelope is a knave". In a statement by Penelope: "Victoria is a knight if and only if Liam is a knight". So who is a knight and who is a knave?

Victoria is a knave, Liam is a knight, and Penelope is a knave.

(1) Victoria is a knave
(2) Liam is a knight
(3) Penelope is a knave

Assume Victoria is a knight. No contradiction is found in their claim that Victoria is a knight and Liam is a knave.

Liam cannot be a knight, because this would contradict the claim of Victoria that Victoria is a knight and Liam is a knave.

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Victoria is a knight if and only if Liam 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 3 inhabitants: Jack, Abigail, and Jacob. In Jack's words: "Jacob is a knight and Abigail is a knight". Abigail asserted: "Jack is a knave or Jack is a knight". Jacob commented, "If Jacob is a knight then Abigail is a knight". So who is a knight and who is a knave?

Jack is a knight, Abigail is a knight, and Jacob is a knight.

(1) Jack is a knight
(2) Abigail is a knight
(3) Jacob is a knight

Assume Jack is a knight. No contradiction is found in their claim that Jacob is a knight and Abigail is a knight.

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

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

(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('lying', 0), ('telling-truth', 0)), ('->', ('telling-truth', 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 3 inhabitants: Sophia, Owen, and Elizabeth. Sophia said that Owen is not a knight. Owen said, "Sophia is a knave if and only if Elizabeth is a knight." Elizabeth commented, "If Sophia is a knave then Sophia is a knight". So who is a knight and who is a knave?

Sophia is a knight, Owen is a knave, and Elizabeth is a knight.

(1) Sophia is a knight
(2) Owen is a knave
(3) Elizabeth is a knight

Assume Sophia 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 Sophia that Owen is not a knight.

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

Assume Elizabeth is a knight. No contradiction is found in their claim that If Sophia is a knave then Sophia 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 3 inhabitants: Oliver, Jacob, and Aria. Oliver said that Aria is a knave and Jacob is a knight. "If Oliver is a knight then Jacob is a knight," Jacob declared. In Aria's words: "Jacob is a knave and Oliver is a knave". So who is a knight and who is a knave?

Oliver is a knight, Jacob is a knight, and Aria is a knave.

(1) Oliver is a knight
(2) Jacob is a knight
(3) Aria is a knave

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that If Oliver is a knight then Jacob 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 3 inhabitants: David, Grace, and Scarlett. According to David, "Grace is a knave if and only if Scarlett is a knave". Grace expressed that If David is a knave then Scarlett is a knight. Scarlett was heard saying, "Grace is a knave or Scarlett is a knight". So who is a knight and who is a knave?

David is a knight, Grace is a knight, and Scarlett is a knight.

(1) David is a knight
(2) Grace is a knight
(3) Scarlett is a knight

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that Grace is a knave or Scarlett 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 3 inhabitants: Jackson, Emily, and Logan. Jackson was heard saying, "Emily is a knave". "Jackson is a knave if and only if Jackson is a knight," Emily claimed. In Logan's words: "If Jackson is a knight then Emily is a knight". So who is a knight and who is a knave?

Jackson is a knight, Emily is a knave, and Logan is a knave.

(1) Jackson is a knight
(2) Emily is a knave
(3) Logan is a knave

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

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that If Jackson is a knight then Emily 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 3 inhabitants: Benjamin, Alexander, and Ethan. Benjamin said that Ethan is not a knight. Alexander commented, "Benjamin is a knight". Ethan noted, "If Benjamin is a knave then Alexander is a knave". So who is a knight and who is a knave?

Benjamin is a knave, Alexander is a knave, and Ethan is a knight.

(1) Benjamin is a knave
(2) Alexander is a knave
(3) Ethan is a knight

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

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

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

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

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

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Benjamin 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 3 inhabitants: Oliver, Mason, and Owen. Oliver expressed that Owen is a knight and Mason is a knight. "If Owen is a knave then Oliver is a knight," Mason claimed. In Owen's words: "Owen is a knight if and only if Mason is a knight". So who is a knight and who is a knave?

Oliver is a knight, Mason is a knight, and Owen is a knight.

(1) Oliver is a knight
(2) Mason is a knight
(3) Owen is a knight

Assume Oliver is a knight. No contradiction is found in their claim that Owen is a knight and Mason is a knight.

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

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

(('and', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 0)), ('<=>', ('telling-truth', 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 3 inhabitants: James, Mason, and Elizabeth. "Elizabeth is a knave and Mason is a knight" - James. Mason was heard saying, "Elizabeth is a knave". "If James is a knave then Elizabeth is a knight" - Elizabeth. So who is a knight and who is a knave?

James is a knave, Mason is a knave, and Elizabeth is a knight.

(1) James is a knave
(2) Mason is a knave
(3) Elizabeth is a knight

Assume James is a knight. No contradiction is found in their claim that Elizabeth is a knave and Mason is a knight.

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

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

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Elizabeth 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 3 inhabitants: Oliver, Scarlett, and Lily. As Oliver put it, "Lily is a knight or Lily is a knave". "Oliver is a knight and Oliver is a knave," Scarlett mentioned. Lily was heard saying, "Oliver is a knave if and only if Oliver is a knight". So who is a knight and who is a knave?

Oliver is a knight, Scarlett is a knave, and Lily is a knave.

(1) Oliver is a knight
(2) Scarlett is a knave
(3) Lily is a knave

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Oliver is a knight and Oliver 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 3 inhabitants: Zoey, Lucas, and Ethan. "Lucas is not a knight," Zoey mentioned. As Lucas put it, "Zoey is a knight and Ethan is a knight". Ethan stated, "Lucas is not a knave". So who is a knight and who is a knave?

Zoey is a knight, Lucas is a knave, and Ethan is a knave.

(1) Zoey is a knight
(2) Lucas is a knave
(3) Ethan is a knave

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

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

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

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

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

(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('not', ('lying', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Michael, Scarlett, and Olivia. "If Scarlett is a knave then Olivia is a knight," Michael declared. "Michael is a knave," Scarlett claimed. As Olivia put it, "Olivia is a knight if and only if Scarlett is a knave". So who is a knight and who is a knave?

Michael is a knight, Scarlett is a knave, and Olivia is a knight.

(1) Michael is a knight
(2) Scarlett is a knave
(3) Olivia is a knight

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

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight if and only if Scarlett 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 3 inhabitants: Sebastian, Owen, and Mason. Sebastian was heard saying, "If Owen is a knight then Mason is a knight". "Owen is a knight and Mason is a knave," Owen claimed. Mason was heard saying, "Sebastian is a knave". So who is a knight and who is a knave?

Sebastian is a knight, Owen is a knave, and Mason is a knave.

(1) Sebastian is a knight
(2) Owen is a knave
(3) Mason is a knave

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

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

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

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Sebastian 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 3 inhabitants: Lily, Emma, and Zoey. "Emma is a knight and Lily is a knight," Lily mentioned. In Emma's words: "Zoey is not a knight". According to Zoey, "Lily is a knight". So who is a knight and who is a knave?

Lily is a knave, Emma is a knight, and Zoey is a knave.

(1) Lily is a knave
(2) Emma is a knight
(3) Zoey is a knave

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 2)), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Daniel, Sofia, and Matthew. Daniel commented, "Matthew is a knave". Sofia was heard saying, "Sofia is a knight or Daniel is a knight". Matthew expressed that Daniel is a knave if and only if Sofia is a knave. So who is a knight and who is a knave?

Daniel is a knave, Sofia is a knave, and Matthew is a knight.

(1) Daniel is a knave
(2) Sofia is a knave
(3) Matthew is a knight

Assume Daniel 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 Daniel that Matthew is a knave.

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

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

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

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

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Sofia 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 3 inhabitants: Jack, Sophia, and Samuel. "If Jack is a knight then Sophia is a knave," Jack declared. Sophia commented, "Samuel is not a knight". Samuel said that Jack is a knight and Sophia is a knave. So who is a knight and who is a knave?

Jack is a knight, Sophia is a knave, and Samuel is a knight.

(1) Jack is a knight
(2) Sophia is a knave
(3) Samuel is a knight

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Jack is a knight and 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 3 inhabitants: Henry, Lucas, and Grace. Henry was heard saying, "Grace is a knight". Lucas was heard saying, "Henry is a knave or Henry is a knight". Grace remarked, "If Lucas is a knave then Lucas is a knight". So who is a knight and who is a knave?

Henry is a knight, Lucas is a knight, and Grace is a knight.

(1) Henry is a knight
(2) Lucas is a knight
(3) Grace is a knight

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

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

Assume Lucas is a knight. No contradiction is found in their claim that Henry is a knave or Henry 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 3 inhabitants: Logan, Charlotte, and Noah. Logan expressed that If Noah is a knave then Logan is a knight. Charlotte was heard saying, "Noah is a knave". "Charlotte is a knave if and only if Logan is a knave" - Noah. So who is a knight and who is a knave?

Logan is a knave, Charlotte is a knight, and Noah is a knave.

(1) Logan is a knave
(2) Charlotte is a knight
(3) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knight. No contradiction is found in their claim that Noah 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 3 inhabitants: Elizabeth, Harper, and Luke. Elizabeth remarked, "Elizabeth is a knight or Harper is a knave". Harper commented, "Elizabeth is a knave if and only if Harper is a knight". Luke was heard saying, "Elizabeth is a knave if and only if Harper is a knight". So who is a knight and who is a knave?

Elizabeth is a knave, Harper is a knight, and Luke is a knight.

(1) Elizabeth is a knave
(2) Harper is a knight
(3) Luke is a knight

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

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

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

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

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

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

Assume Luke is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Harper 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 3 inhabitants: Scarlett, Olivia, and Amelia. "Olivia is a knave or Olivia is a knight" - Scarlett. As Olivia put it, "If Olivia is a knight then Scarlett is a knight". Amelia remarked, "Scarlett is a knave and Amelia is a knight". So who is a knight and who is a knave?

Scarlett is a knight, Olivia is a knight, and Amelia is a knave.

(1) Scarlett is a knight
(2) Olivia is a knight
(3) Amelia is a knave

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that Scarlett is a knave and Amelia 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 3 inhabitants: Oliver, Harper, and Logan. "Logan is a knave," Oliver declared. "If Logan is a knave then Oliver is a knight," Harper mentioned. Logan said that Harper is a knight or Oliver is a knight. So who is a knight and who is a knave?

Oliver is a knave, Harper is a knight, and Logan is a knight.

(1) Oliver is a knave
(2) Harper is a knight
(3) Logan is a knight

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

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

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Logan is a knave.

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

Assume Harper is a knight. No contradiction is found in their claim that If Logan is a knave then Oliver 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 3 inhabitants: Isabella, Charlotte, and Luke. Isabella remarked, "Charlotte is a knave". Charlotte commented, "Luke is a knight or Charlotte is a knight". "Charlotte is not a knight," Luke declared. So who is a knight and who is a knave?

Isabella is a knave, Charlotte is a knight, and Luke is a knave.

(1) Isabella is a knave
(2) Charlotte is a knight
(3) Luke is a knave

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

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

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

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

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

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

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

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

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

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

(('lying', 1), ('or', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('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 3 inhabitants: Oliver, Sebastian, and Logan. Oliver remarked, "Logan is a knight". Sebastian said that Oliver is a knave or Sebastian is a knight. Logan was heard saying, "Oliver is a knave and Logan is a knight". So who is a knight and who is a knave?

Oliver is a knave, Sebastian is a knight, and Logan is a knave.

(1) Oliver is a knave
(2) Sebastian is a knight
(3) Logan is a knave

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

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

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

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

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

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

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

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

(('telling-truth', 2), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Lucas, Aiden, and Sophia. In a statement by Lucas: "Sophia is a knight if and only if Aiden is a knave". In Aiden's words: "Lucas is not a knave". Sophia noted, "Lucas is a knight". So who is a knight and who is a knave?

Lucas is a knave, Aiden is a knave, and Sophia is a knave.

(1) Lucas is a knave
(2) Aiden is a knave
(3) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false 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 3 inhabitants: Luke, Aiden, and Zoey. According to Luke, "If Aiden is a knave then Aiden is a knight". As Aiden put it, "Aiden is a knight if and only if Luke is a knave". Zoey stated, "Luke is not a knight". So who is a knight and who is a knave?

Luke is a knave, Aiden is a knave, and Zoey is a knight.

(1) Luke is a knave
(2) Aiden is a knave
(3) Zoey is a knight

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

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

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

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

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that Luke 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 3 inhabitants: William, Jack, and Elizabeth. "Elizabeth is a knight if and only if Elizabeth is a knave," William claimed. Jack asserted: "Elizabeth is a knave if and only if Elizabeth is a knight". "Elizabeth is a knight and Jack is a knight," Elizabeth claimed. So who is a knight and who is a knave?

William is a knave, Jack is a knave, and Elizabeth is a knave.

(1) William is a knave
(2) Jack is a knave
(3) Elizabeth is a knave

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

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

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Elizabeth 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 3 inhabitants: Emma, Sofia, and Avery. In a statement by Emma: "Avery is a knight or Sofia is a knight". Sofia said, "Avery is a knave." Avery was heard saying, "Emma is a knight". So who is a knight and who is a knave?

Emma is a knight, Sofia is a knave, and Avery is a knight.

(1) Emma is a knight
(2) Sofia is a knave
(3) Avery is a knight

Assume Emma is a knight. No contradiction is found in their claim that Avery is a knight or Sofia is a knight.

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

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

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

(('or', ('telling-truth', 2), ('telling-truth', 1)), ('lying', 2), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Olivia, David, and Ethan. "David is a knight if and only if David is a knave," Olivia mentioned. "If David is a knight then Ethan is a knave," David declared. As Ethan put it, "Olivia is a knight if and only if David is a knight". So who is a knight and who is a knave?

Olivia is a knave, David is a knight, and Ethan is a knave.

(1) Olivia is a knave
(2) David is a knight
(3) Ethan is a knave

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

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

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that Olivia is a knight 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 3 inhabitants: Sofia, Henry, and Jackson. Sofia expressed that Jackson is a knave and Jackson is a knight. Henry remarked, "Sofia is a knave if and only if Sofia is a knight". "Sofia is a knight or Sofia is a knave," Jackson declared. So who is a knight and who is a knave?

Sofia is a knave, Henry is a knave, and Jackson is a knight.

(1) Sofia is a knave
(2) Henry is a knave
(3) Jackson is a knight

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Sofia is a knave if and only if Sofia 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 3 inhabitants: Olivia, Emily, and Emma. "If Emily is a knave then Olivia is a knight," Olivia declared. Emily expressed that If Emma is a knave then Olivia is a knight. In Emma's words: "If Olivia is a knave then Emily is a knave". So who is a knight and who is a knave?

Olivia is a knight, Emily is a knight, and Emma is a knight.

(1) Olivia is a knight
(2) Emily is a knight
(3) Emma is a knight

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

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

Assume Emma is a knight. No contradiction is found in their claim that If Olivia is a knave then 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 3 inhabitants: Evelyn, Jack, and Zoey. Evelyn was heard saying, "Jack is a knight and Zoey is a knight". In Jack's words: "Zoey is a knave or Evelyn is a knight". In Zoey's words: "Evelyn is not a knight". So who is a knight and who is a knave?

Evelyn is a knave, Jack is a knave, and Zoey is a knight.

(1) Evelyn is a knave
(2) Jack is a knave
(3) Zoey is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that Evelyn is not a knight.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jackson, Zoey, and Joseph. Jackson stated, "Zoey is a knave or Zoey is a knight". Zoey stated, "If Joseph is a knave then Joseph is a knight". Joseph said, "If Jackson is a knave then Jackson is a knight." So who is a knight and who is a knave?

Jackson is a knight, Zoey is a knight, and Joseph is a knight.

(1) Jackson is a knight
(2) Zoey is a knight
(3) Joseph is a knight

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

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

Assume Joseph is a knight. No contradiction is found in their claim that If Jackson is a knave 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 3 inhabitants: Oliver, Sophia, and Ella. In a statement by Oliver: "Sophia is a knave or Oliver is a knight". According to Sophia, "Ella is a knight and Oliver is a knight". Ella stated, "Ella is a knight if and only if Sophia is a knave". So who is a knight and who is a knave?

Oliver is a knight, Sophia is a knave, and Ella is a knave.

(1) Oliver is a knight
(2) Sophia is a knave
(3) Ella is a knave

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

Assume Sophia is a knight. No contradiction is found in their claim that Ella is a knight and Oliver is a knight.

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

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

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

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

Ella cannot be a knight, because this would contradict the false claim of Sophia that Ella is a knight and Oliver is a knight.

Assume Ella is a knave. No contradiction is found in their false claim that Ella 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 3 inhabitants: Zoey, Ava, and Evelyn. Zoey asserted: "Evelyn is a knight if and only if Ava is a knave". "Evelyn is a knave if and only if Ava is a knight" - Ava. Evelyn told you that Zoey is a knight. So who is a knight and who is a knave?

Zoey is a knave, Ava is a knave, and Evelyn is a knave.

(1) Zoey is a knave
(2) Ava is a knave
(3) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Evelyn is a knave if and only if Ava 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 3 inhabitants: Grace, Riley, and Abigail. Grace said that Grace is a knight and Abigail is a knave. Riley asserted: "Grace is not a knave". According to Abigail, "If Riley is a knave then Grace is a knave". So who is a knight and who is a knave?

Grace is a knave, Riley is a knave, and Abigail is a knight.

(1) Grace is a knave
(2) Riley is a knave
(3) Abigail is a knight

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

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

Assume Abigail is a knave. No contradiction is found in their false claim that If Riley is a knave then Grace is a knave.

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Grace 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 3 inhabitants: Amelia, Isabella, and Riley. "Riley is a knight or Isabella is a knight," Amelia claimed. Isabella said that Riley is a knave. "Amelia is a knave and Isabella is a knave," Riley mentioned. So who is a knight and who is a knave?

Amelia is a knight, Isabella is a knight, and Riley is a knave.

(1) Amelia is a knight
(2) Isabella is a knight
(3) Riley is a knave

Assume Amelia is a knight. No contradiction is found in their claim that Riley is a knight or Isabella is a knight.

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

Assume Riley is a knave. No contradiction is found in their false claim that Amelia is a knave and Isabella is a knave.

Assume Isabella is a knight. No contradiction is found in their claim that Riley 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 3 inhabitants: Ethan, Mason, and Luke. Ethan told you that If Ethan is a knight then Luke is a knave. Mason remarked, "Ethan is a knave". According to Luke, "Ethan is a knight and Ethan is a knave". So who is a knight and who is a knave?

Ethan is a knight, Mason is a knave, and Luke is a knave.

(1) Ethan is a knight
(2) Mason is a knave
(3) Luke is a knave

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Ethan 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 3 inhabitants: Oliver, Riley, and Elizabeth. "Riley is a knave or Elizabeth is a knight" - Oliver. In Riley's words: "Elizabeth is a knave if and only if Elizabeth is a knight". In a statement by Elizabeth: "Riley is a knave". So who is a knight and who is a knave?

Oliver is a knight, Riley is a knave, and Elizabeth is a knight.

(1) Oliver is a knight
(2) Riley is a knave
(3) Elizabeth is a knight

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

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Riley 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 3 inhabitants: Aria, Liam, and Isabella. Aria told you that Liam is not a knave. In a statement by Liam: "Isabella is a knave if and only if Liam is a knight". "Isabella is a knight or Aria is a knave," Isabella declared. So who is a knight and who is a knave?

Aria is a knight, Liam is a knight, and Isabella is a knave.

(1) Aria is a knight
(2) Liam is a knight
(3) Isabella is a knave

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

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight or 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 3 inhabitants: Luke, Chloe, and Michael. "Chloe is a knave or Michael is a knight," Luke declared. "If Michael is a knight then Luke is a knave," Chloe declared. Michael said, "Michael is a knight if and only if Luke is a knight." So who is a knight and who is a knave?

Luke is a knight, Chloe is a knave, and Michael is a knight.

(1) Luke is a knight
(2) Chloe is a knave
(3) Michael is a knight

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that If Michael is a knight then Luke is a knave.

Assume Michael is a knight. No contradiction is found in their claim that Michael is a knight if and only if Luke 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 3 inhabitants: Zoey, Lily, and Charlotte. Zoey noted, "Lily is a knight or Charlotte is a knave". In Lily's words: "Charlotte is not a knight". Charlotte asserted: "Lily is a knave or Lily is a knight". So who is a knight and who is a knave?

Zoey is a knave, Lily is a knave, and Charlotte is a knight.

(1) Zoey is a knave
(2) Lily is a knave
(3) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

Lily cannot be a knight, because this would contradict the false claim of Zoey that Lily is a knight or Charlotte is a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Lily is a knave or Lily 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 3 inhabitants: Olivia, Sofia, and Victoria. "Olivia is a knight if and only if Victoria is a knight," Olivia declared. Sofia expressed that Olivia is a knight if and only if Victoria is a knave. According to Victoria, "Olivia is a knight". So who is a knight and who is a knave?

Olivia is a knight, Sofia is a knave, and Victoria is a knight.

(1) Olivia is a knight
(2) Sofia is a knave
(3) Victoria is a knight

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Olivia is a knight if and only if 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 3 inhabitants: William, Lily, and Penelope. William expressed that William is a knight if and only if Lily is a knave. Lily noted, "William is not a knight". Penelope asserted: "William is a knight". So who is a knight and who is a knave?

William is a knight, Lily is a knave, and Penelope is a knight.

(1) William is a knight
(2) Lily is a knave
(3) Penelope is a knight

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

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

Assume Lily is a knave. No contradiction is found in their false claim that William is not a knight.

Assume Penelope is a knight. No contradiction is found in their claim that William 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 3 inhabitants: Mason, Zoey, and Penelope. Mason remarked, "Mason is a knight or Penelope is a knight". Zoey remarked, "If Penelope is a knight then Zoey is a knight". "If Mason is a knight then Zoey is a knight," Penelope declared. So who is a knight and who is a knave?

Mason is a knight, Zoey is a knight, and Penelope is a knight.

(1) Mason is a knight
(2) Zoey is a knight
(3) Penelope is a knight

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

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

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

(('or', ('telling-truth', 0), ('telling-truth', 2)), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('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 3 inhabitants: Mason, Owen, and Ethan. According to Mason, "Owen is a knave and Owen is a knight". "Mason is not a knave," Owen mentioned. According to Ethan, "Ethan is a knight or Mason is a knave". So who is a knight and who is a knave?

Mason is a knave, Owen is a knave, and Ethan is a knight.

(1) Mason is a knave
(2) Owen is a knave
(3) Ethan is a knight

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

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

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

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

Assume Ethan is a knight. No contradiction is found in their claim that Ethan is a knight or Mason 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 3 inhabitants: Charlotte, Michael, and Ethan. Charlotte said that Ethan is a knave and Ethan is a knight. Michael was heard saying, "If Charlotte is a knight then Ethan is a knight". Ethan said, "Michael is a knave and Ethan is a knight." So who is a knight and who is a knave?

Charlotte is a knave, Michael is a knight, and Ethan is a knave.

(1) Charlotte is a knave
(2) Michael is a knight
(3) Ethan is a knave

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that If Charlotte is a knight then Ethan is a knight.

(('and', ('lying', 2), ('telling-truth', 2)), ('->', ('telling-truth', 0), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Daniel, Avery, and Jack. "Jack is not a knave" - Daniel. "If Jack is a knight then Avery is a knight," Avery mentioned. Jack stated, "Avery is a knave if and only if Avery is a knight". So who is a knight and who is a knave?

Daniel is a knave, Avery is a knight, and Jack is a knave.

(1) Daniel is a knave
(2) Avery is a knight
(3) Jack is a knave

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

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

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

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

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that If Jack is a knight then Avery 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 3 inhabitants: Zoey, Amelia, and Matthew. According to Zoey, "Amelia is a knight and Matthew is a knight". Amelia said, "If Matthew is a knave then Zoey is a knight." "Zoey is a knight if and only if Zoey is a knave" - Matthew. So who is a knight and who is a knave?

Zoey is a knave, Amelia is a knave, and Matthew is a knave.

(1) Zoey is a knave
(2) Amelia is a knave
(3) Matthew is a knave

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

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

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

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

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

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

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

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

Matthew cannot be a knight, because this would contradict the false claim of Zoey that Amelia is a knight and Matthew is a knight.

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey 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 3 inhabitants: David, Abigail, and Ethan. "Abigail is a knight or David is a knight," David claimed. According to Abigail, "Ethan is a knave or David is a knave". Ethan was heard saying, "David is a knave". So who is a knight and who is a knave?

David is a knight, Abigail is a knight, and Ethan is a knave.

(1) David is a knight
(2) Abigail is a knight
(3) Ethan is a knave

Assume David is a knight. No contradiction is found in their claim that Abigail is a knight or David is a knight.

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that David 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 3 inhabitants: Mason, Jacob, and Emma. In a statement by Mason: "If Mason is a knight then Jacob is a knave". In Jacob's words: "Emma is a knave if and only if Emma is a knight". Emma asserted: "Jacob is a knave and Mason is a knave". So who is a knight and who is a knave?

Mason is a knight, Jacob is a knave, and Emma is a knave.

(1) Mason is a knight
(2) Jacob is a knave
(3) Emma is a knave

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Jacob is a knave and Mason 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 3 inhabitants: Daniel, Jackson, and David. Daniel said that David is a knave and Jackson is a knight. Jackson said that Daniel is a knight. David expressed that Jackson is a knight or Daniel is a knave. So who is a knight and who is a knave?

Daniel is a knave, Jackson is a knave, and David is a knight.

(1) Daniel is a knave
(2) Jackson is a knave
(3) David is a knight

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

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

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

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

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

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

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

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

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

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

(('and', ('lying', 2), ('telling-truth', 1)), ('telling-truth', 0), ('or', ('telling-truth', 1), ('lying', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Scarlett, Jack, and Grace. "Grace is a knave or Jack is a knave," Scarlett claimed. Jack asserted: "Grace is not a knight". "Scarlett is a knight or Grace is a knight," Grace claimed. So who is a knight and who is a knave?

Scarlett is a knight, Jack is a knave, and Grace is a knight.

(1) Scarlett is a knight
(2) Jack is a knave
(3) Grace is a knight

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Grace 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 3 inhabitants: Jacob, Aurora, and Logan. Jacob said, "Logan is a knight and Aurora is a knave." Aurora stated, "Logan is a knight if and only if Jacob is a knave". "Jacob is a knight if and only if Jacob is a knave," Logan mentioned. So who is a knight and who is a knave?

Jacob is a knave, Aurora is a knave, and Logan is a knave.

(1) Jacob is a knave
(2) Aurora is a knave
(3) Logan is a knave

Assume Jacob is a knight. No contradiction is found in their claim that Logan is a knight and Aurora is a knave.

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

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

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

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Logan is a knight if and only if 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 3 inhabitants: Penelope, Benjamin, and Daniel. "Daniel is a knight and Daniel is a knave" - Penelope. Benjamin told you that Penelope is a knave. Daniel asserted: "Penelope is a knight". So who is a knight and who is a knave?

Penelope is a knave, Benjamin is a knight, and Daniel is a knave.

(1) Penelope is a knave
(2) Benjamin is a knight
(3) Daniel is a knave

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

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

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

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

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

(('and', ('telling-truth', 2), ('lying', 2)), ('lying', 0), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Mia, Henry, and Jackson. Mia was heard saying, "Henry is not a knight". In Henry's words: "Jackson is a knight or Mia is a knight". In a statement by Jackson: "Mia is not a knight". So who is a knight and who is a knave?

Mia is a knave, Henry is a knight, and Jackson is a knight.

(1) Mia is a knave
(2) Henry is a knight
(3) Jackson is a knight

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that Jackson is a knight or Mia is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: David, Emily, and Mia. David expressed that If Mia is a knight then Emily is a knight. Emily was heard saying, "David is not a knight". Mia asserted: "David is a knave if and only if Emily is a knave". So who is a knight and who is a knave?

David is a knight, Emily is a knave, and Mia is a knave.

(1) David is a knight
(2) Emily is a knave
(3) Mia is a knave

Assume David is a knight. No contradiction is found in their claim that If Mia is a knight then Emily is a knight.

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

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

Emily cannot be a knave, because this would contradict the claim of David that If Mia is a knight then Emily is a knight.

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

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

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