A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Emily, Mia, Charlotte, Elizabeth, and Jacob. According to Abigail, "Jacob is not a knight". Emily was heard saying, "Charlotte is not a knave". "Charlotte is a knave if and only if Abigail is a knave," Mia declared. "If Abigail is a knave then Abigail is a knight," Charlotte declared. According to Elizabeth, "Mia is a knave and Emily is a knave". Jacob noted, "Emily is a knave and Elizabeth is a knight". So who is a knight and who is a knave?

Abigail Emily Mia Charlotte Elizabeth Jacob

Abigail is a knight, Emily is a knight, Mia is a knight, Charlotte is a knight, Elizabeth is a knave, and Jacob is a knave.

(1) Abigail is a knight
(2) Emily is a knight
(3) Mia is a knight
(4) Charlotte is a knight
(5) Elizabeth is a knave
(6) Jacob is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Mia, Joseph, Luke, Sebastian, and Jack. Samuel told you that Sebastian is a knave. "Joseph is a knave and Joseph is a knight" - Mia. Joseph expressed that Jack is a knight if and only if Mia is a knight. Luke expressed that Samuel is a knave and Joseph is a knave. Sebastian told you that Jack is not a knight. "Samuel is a knave and Joseph is a knave" - Jack. So who is a knight and who is a knave?

Samuel is a knave, Mia is a knave, Joseph is a knight, Luke is a knave, Sebastian is a knight, and Jack is a knave.

(1) Samuel is a knave
(2) Mia is a knave
(3) Joseph is a knight
(4) Luke is a knave
(5) Sebastian is a knight
(6) Jack is a knave

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

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

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

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

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

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knave and Joseph is a knave.

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Samuel is a knave and Joseph is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ella, Penelope, Joseph, Emma, Grace, and Scarlett. Ella expressed that Scarlett is a knave or Scarlett is a knight. In a statement by Penelope: "Joseph is a knave". Joseph said, "Ella is a knight or Joseph is a knight." Emma commented, "Penelope is a knave and Grace is a knave". Grace stated, "Penelope is a knave or Ella is a knight". In a statement by Scarlett: "Joseph is a knave". So who is a knight and who is a knave?

Ella Penelope Joseph Emma Grace Scarlett

Ella is a knight, Penelope is a knave, Joseph is a knight, Emma is a knave, Grace is a knight, and Scarlett is a knave.

(1) Ella is a knight
(2) Penelope is a knave
(3) Joseph is a knight
(4) Emma is a knave
(5) Grace is a knight
(6) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Penelope is a knave and Grace is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Owen, Daniel, Jack, Noah, Joseph, and Sofia. In Owen's words: "Noah is a knight". As Daniel put it, "Jack is a knight and Noah is a knight". "Daniel is a knight," Jack declared. As Noah put it, "Sofia is a knave if and only if Daniel is a knight". In Joseph's words: "Noah is a knight or Jack is a knight". Sofia told you that Owen is a knave. So who is a knight and who is a knave?

Owen is a knight, Daniel is a knight, Jack is a knight, Noah is a knight, Joseph is a knight, and Sofia is a knave.

(1) Owen is a knight
(2) Daniel is a knight
(3) Jack is a knight
(4) Noah is a knight
(5) Joseph is a knight
(6) Sofia is a knave

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

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

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

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

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

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

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

(('telling-truth', 3), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 1), ('<=>', ('lying', 5), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('lying', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jacob, Ethan, Mason, Jack, Emma, and Riley. According to Jacob, "Emma is a knave and Mason is a knight". Ethan said, "Jacob is a knight if and only if Emma is a knight." Mason said that If Mason is a knight then Emma is a knave. In a statement by Jack: "Riley is a knight and Jack is a knight". According to Emma, "Ethan is a knight and Jack is a knave". In Riley's words: "Mason is a knave". So who is a knight and who is a knave?

Jacob is a knight, Ethan is a knave, Mason is a knight, Jack is a knave, Emma is a knave, and Riley is a knave.

(1) Jacob is a knight
(2) Ethan is a knave
(3) Mason is a knight
(4) Jack is a knave
(5) Emma is a knave
(6) Riley is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Mason is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, Owen, Harper, Olivia, Aiden, and Zoey. Joseph asserted: "If Olivia is a knave then Owen is a knight". As Owen put it, "If Harper is a knight then Aiden is a knave". In Harper's words: "Zoey is a knave". Olivia noted, "Aiden is a knight or Olivia is a knight". Aiden told you that If Harper is a knave then Aiden is a knight. Zoey said, "Aiden is a knight." So who is a knight and who is a knave?

Joseph is a knight, Owen is a knight, Harper is a knave, Olivia is a knight, Aiden is a knight, and Zoey is a knight.

(1) Joseph is a knight
(2) Owen is a knight
(3) Harper is a knave
(4) Olivia is a knight
(5) Aiden is a knight
(6) Zoey is a knight

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

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

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

Assume Harper 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 Harper that Zoey is a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Owen, Logan, Emma, Ella, and Joseph. Sophia asserted: "Logan is a knave or Sophia is a knight". According to Owen, "Ella is a knave or Logan is a knave". Logan asserted: "Emma is a knave and Owen is a knave". Emma stated, "Sophia is a knight and Joseph is a knight". In a statement by Ella: "Joseph is a knight". "If Owen is a knave then Ella is a knave," Joseph claimed. So who is a knight and who is a knave?

Sophia is a knight, Owen is a knight, Logan is a knave, Emma is a knight, Ella is a knight, and Joseph is a knight.

(1) Sophia is a knight
(2) Owen is a knight
(3) Logan is a knave
(4) Emma is a knight
(5) Ella is a knight
(6) Joseph is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that Emma is a knave and Owen is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Benjamin, Logan, Lucas, Matthew, and Penelope. Ethan said, "Penelope is a knave if and only if Lucas is a knave." Benjamin noted, "If Matthew is a knight then Penelope is a knight". Logan was heard saying, "If Lucas is a knight then Penelope is a knight". "Penelope is a knight and Logan is a knave," Lucas declared. Matthew commented, "If Logan is a knight then Benjamin is a knight". In a statement by Penelope: "Matthew is a knight". So who is a knight and who is a knave?

Ethan Benjamin Logan Lucas Matthew Penelope

Ethan is a knave, Benjamin is a knight, Logan is a knight, Lucas is a knave, Matthew is a knight, and Penelope is a knight.

(1) Ethan is a knave
(2) Benjamin is a knight
(3) Logan is a knight
(4) Lucas is a knave
(5) Matthew is a knight
(6) Penelope is a knight

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

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

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

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

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

Lucas cannot be a knave, because this would contradict the claim of Ethan that Penelope is a knave if and only if Lucas is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Jack, Sophia, Noah, Charlotte, and Harper. "Noah is a knave if and only if Harper is a knave," Emily claimed. Jack stated, "Emily is not a knave". "Emily is a knave and Jack is a knave," Sophia declared. Noah told you that If Charlotte is a knave then Harper is a knave. Charlotte was heard saying, "Jack is a knave". According to Harper, "Noah is a knight and Sophia is a knave". So who is a knight and who is a knave?

Emily is a knave, Jack is a knave, Sophia is a knight, Noah is a knight, Charlotte is a knight, and Harper is a knave.

(1) Emily is a knave
(2) Jack is a knave
(3) Sophia is a knight
(4) Noah is a knight
(5) Charlotte is a knight
(6) Harper is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Liam, Victoria, Isabella, Sophia, Aiden, and Emily. Liam expressed that Isabella is a knight if and only if Sophia is a knave. Victoria asserted: "If Sophia is a knight then Sophia is a knave". Isabella told you that If Sophia is a knight then Aiden is a knight. Sophia noted, "If Aiden is a knave then Liam is a knave". "Sophia is a knight if and only if Liam is a knave," Aiden mentioned. According to Emily, "Victoria is a knight if and only if Liam is a knight". So who is a knight and who is a knave?

Liam Victoria Isabella Sophia Aiden Emily

Liam is a knave, Victoria is a knave, Isabella is a knight, Sophia is a knight, Aiden is a knight, and Emily is a knight.

(1) Liam is a knave
(2) Victoria is a knave
(3) Isabella is a knight
(4) Sophia is a knight
(5) Aiden is a knight
(6) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily is a knight. No contradiction is found in their 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 6 inhabitants: Emily, Harper, Noah, Ella, Mia, and Zoey. "Ella is a knight or Harper is a knight" - Emily. In a statement by Harper: "If Noah is a knave then Emily is a knight". Noah remarked, "Ella is a knight or Noah is a knight". Ella told you that Noah is a knave. Mia was heard saying, "Noah is a knight if and only if Ella is a knight". Zoey said that If Mia is a knave then Noah is a knave. So who is a knight and who is a knave?

Emily is a knight, Harper is a knight, Noah is a knight, Ella is a knave, Mia is a knave, and Zoey is a knave.

(1) Emily is a knight
(2) Harper is a knight
(3) Noah is a knight
(4) Ella is a knave
(5) Mia is a knave
(6) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Zoey is a knave. No contradiction is found in their false claim that If Mia is a knave then 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 6 inhabitants: Samuel, Chloe, Emma, William, James, and Olivia. "Olivia is not a knight" - Samuel. Chloe noted, "William is a knight". "Olivia is not a knight," Emma mentioned. In William's words: "Samuel is a knight and Samuel is a knave". James stated, "William is not a knave". Olivia told you that James is a knight and Emma is a knight. So who is a knight and who is a knave?

Samuel is a knight, Chloe is a knave, Emma is a knight, William is a knave, James is a knave, and Olivia is a knave.

(1) Samuel is a knight
(2) Chloe is a knave
(3) Emma is a knight
(4) William is a knave
(5) James is a knave
(6) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

(('not', ('telling-truth', 5)), ('telling-truth', 3), ('not', ('telling-truth', 5)), ('and', ('telling-truth', 0), ('lying', 0)), ('not', ('lying', 3)), ('and', ('telling-truth', 4), ('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 6 inhabitants: Sophia, Emily, Daniel, Mia, Henry, and Jackson. According to Sophia, "Emily is a knight". "If Sophia is a knave then Mia is a knave," Emily mentioned. Daniel said that If Emily is a knave then Emily is a knight. "If Jackson is a knight then Emily is a knave," Mia mentioned. Henry expressed that Henry is a knight or Mia is a knight. Jackson asserted: "Mia is a knight or Daniel is a knave". So who is a knight and who is a knave?

Sophia is a knave, Emily is a knave, Daniel is a knave, Mia is a knight, Henry is a knight, and Jackson is a knight.

(1) Sophia is a knave
(2) Emily is a knave
(3) Daniel is a knave
(4) Mia is a knight
(5) Henry is a knight
(6) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Victoria, Isabella, Ava, Benjamin, Logan, and Alexander. Victoria remarked, "Benjamin is a knave and Alexander is a knave". Isabella commented, "Benjamin is a knave or Victoria is a knight". "Benjamin is a knave or Logan is a knave," Ava mentioned. Benjamin told you that Victoria is a knave or Logan is a knight. According to Logan, "Alexander is a knight and Ava is a knave". "Alexander is a knight if and only if Benjamin is a knave," Alexander mentioned. So who is a knight and who is a knave?

Victoria Isabella Ava Benjamin Logan Alexander

Victoria is a knight, Isabella is a knight, Ava is a knight, Benjamin is a knave, Logan is a knave, and Alexander is a knave.

(1) Victoria is a knight
(2) Isabella is a knight
(3) Ava is a knight
(4) Benjamin is a knave
(5) Logan is a knave
(6) Alexander is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Lucas, Sebastian, Matthew, Charlotte, Aiden, and Harper. Lucas said that If Charlotte is a knave then Harper is a knight. Sebastian stated, "Harper is a knave and Lucas is a knave". "Lucas is a knight," Matthew mentioned. As Charlotte put it, "Sebastian is a knight if and only if Lucas is a knight". Aiden said, "Charlotte is a knight." "Aiden is a knight if and only if Aiden is a knave," Harper declared. So who is a knight and who is a knave?

Lucas Sebastian Matthew Charlotte Aiden Harper

Lucas is a knave, Sebastian is a knight, Matthew is a knave, Charlotte is a knave, Aiden is a knave, and Harper is a knave.

(1) Lucas is a knave
(2) Sebastian is a knight
(3) Matthew is a knave
(4) Charlotte is a knave
(5) Aiden is a knave
(6) Harper is a knave

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

Assume Charlotte is a knight. No contradiction is found in their claim that Sebastian is a knight if and only if Lucas is a knight.

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

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

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

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

Assume Sebastian is a knave. No contradiction is found in their false claim that Harper is a knave and Lucas is a knave.

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

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

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

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

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

Assume Sebastian is a knight. No contradiction is found in their claim that Harper is a knave and Lucas is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Oliver, Benjamin, Matthew, Aurora, and Scarlett. Abigail told you that Matthew is a knight and Aurora is a knave. "Benjamin is a knight if and only if Scarlett is a knight," Oliver declared. In a statement by Benjamin: "Oliver is a knight and Aurora is a knight". Matthew expressed that Aurora is a knave and Benjamin is a knight. Aurora said, "Abigail is not a knight." Scarlett commented, "Oliver is a knight if and only if Aurora is a knave". So who is a knight and who is a knave?

Abigail Oliver Benjamin Matthew Aurora Scarlett

Abigail is a knave, Oliver is a knave, Benjamin is a knave, Matthew is a knave, Aurora is a knight, and Scarlett is a knight.

(1) Abigail is a knave
(2) Oliver is a knave
(3) Benjamin is a knave
(4) Matthew is a knave
(5) Aurora is a knight
(6) Scarlett is a knight

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

Assume Matthew is a knight. No contradiction is found in their claim that Aurora is a knave and Benjamin is a knight.

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

Assume Aurora is a knave. No contradiction is found in their false claim that Abigail is not a knight.

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

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

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

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Abigail is not a knight.

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

Assume Oliver is a knight. No contradiction is found in their claim that Benjamin is a knight if and only if Scarlett is a knight.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Ethan, Penelope, Jack, Riley, and Sebastian. "Sebastian is not a knight," Ava declared. "Riley is a knight," Ethan mentioned. Penelope noted, "If Sebastian is a knave then Riley is a knave". Jack remarked, "Riley is a knight if and only if Sebastian is a knave". Riley was heard saying, "Sebastian is a knight if and only if Ethan is a knave". In a statement by Sebastian: "If Penelope is a knave then Jack is a knave". So who is a knight and who is a knave?

Ava is a knight, Ethan is a knight, Penelope is a knave, Jack is a knight, Riley is a knight, and Sebastian is a knave.

(1) Ava is a knight
(2) Ethan is a knight
(3) Penelope is a knave
(4) Jack is a knight
(5) Riley is a knight
(6) Sebastian is a knave

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

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

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

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

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

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

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

Assume Jack is a knight. No contradiction is found in their claim that Riley is a knight if and only if 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 6 inhabitants: Daniel, Logan, Ella, Jacob, Emma, and Chloe. Daniel was heard saying, "If Logan is a knave then Emma is a knave". "Ella is a knave" - Logan. Ella remarked, "Daniel is a knight". Jacob was heard saying, "If Emma is a knight then Chloe is a knave". In a statement by Emma: "Emma is a knight or Logan is a knight". Chloe noted, "Jacob is a knight or Emma is a knave". So who is a knight and who is a knave?

Daniel is a knight, Logan is a knave, Ella is a knight, Jacob is a knight, Emma is a knave, and Chloe is a knight.

(1) Daniel is a knight
(2) Logan is a knave
(3) Ella is a knight
(4) Jacob is a knight
(5) Emma is a knave
(6) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Owen, Aurora, Mason, Ella, and Oliver. "Aurora is a knave or Owen is a knave" - Emily. Owen said that If Oliver is a knave then Mason is a knave. "Oliver is a knight if and only if Oliver is a knave," Aurora declared. Mason expressed that Ella is not a knave. "If Emily is a knave then Oliver is a knave," Ella declared. Oliver said, "Mason is a knave and Emily is a knight." So who is a knight and who is a knave?

Emily is a knight, Owen is a knave, Aurora is a knave, Mason is a knight, Ella is a knight, and Oliver is a knave.

(1) Emily is a knight
(2) Owen is a knave
(3) Aurora is a knave
(4) Mason is a knight
(5) Ella is a knight
(6) Oliver is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Owen is a knave. No contradiction is found in their false claim that If Oliver is a knave then 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 6 inhabitants: David, Mason, Jacob, Noah, William, and Ava. David stated, "If Ava is a knight then Ava is a knave". According to Mason, "Jacob is not a knave". "William is a knight if and only if Noah is a knight," Jacob mentioned. Noah said that William is not a knave. In William's words: "Jacob is a knave". Ava stated, "Mason is a knight and William is a knight". So who is a knight and who is a knave?

David is a knight, Mason is a knight, Jacob is a knight, Noah is a knave, William is a knave, and Ava is a knave.

(1) David is a knight
(2) Mason is a knight
(3) Jacob is a knight
(4) Noah is a knave
(5) William is a knave
(6) Ava is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Ava, Daniel, Isabella, Ella, and Amelia. "Isabella is a knave," Benjamin mentioned. In a statement by Ava: "Amelia is a knave or Benjamin is a knight". "Benjamin is a knave and Amelia is a knave," Daniel mentioned. Isabella said that Amelia is a knave and Benjamin is a knight. Ella commented, "If Benjamin is a knave then Isabella is a knave". Amelia was heard saying, "Ella is a knight or Ella is a knave". So who is a knight and who is a knave?

Benjamin Ava Daniel Isabella Ella Amelia

Benjamin is a knight, Ava is a knight, Daniel is a knave, Isabella is a knave, Ella is a knight, and Amelia is a knight.

(1) Benjamin is a knight
(2) Ava is a knight
(3) Daniel is a knave
(4) Isabella is a knave
(5) Ella is a knight
(6) Amelia is a knight

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

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

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Benjamin is a knave and Amelia is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Riley, Sebastian, Jackson, Emma, Penelope, and Alexander. As Riley put it, "Jackson is a knave". Sebastian commented, "Penelope is a knight and Jackson is a knight". In Jackson's words: "Penelope is not a knight". Emma was heard saying, "Sebastian is a knave or Riley is a knave". Penelope expressed that Sebastian is a knight and Riley is a knight. In a statement by Alexander: "Alexander is a knight or Riley is a knave". So who is a knight and who is a knave?

Riley Sebastian Jackson Emma Penelope Alexander

Riley is a knave, Sebastian is a knave, Jackson is a knight, Emma is a knight, Penelope is a knave, and Alexander is a knight.

(1) Riley is a knave
(2) Sebastian is a knave
(3) Jackson is a knight
(4) Emma is a knight
(5) Penelope is a knave
(6) Alexander is a knight

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

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

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

Assume Penelope is a knight. No contradiction is found in their claim that Sebastian is a knight and Riley is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Daniel, William, Sofia, Grace, and Jacob. "Sofia is a knave," Mason mentioned. Daniel stated, "Jacob is a knight or Mason is a knave". William expressed that Mason is a knave or Grace is a knave. "William is not a knight" - Sofia. Grace noted, "Sofia is a knight". Jacob told you that Grace is a knight or William is a knave. So who is a knight and who is a knave?

Mason is a knight, Daniel is a knave, William is a knight, Sofia is a knave, Grace is a knave, and Jacob is a knave.

(1) Mason is a knight
(2) Daniel is a knave
(3) William is a knight
(4) Sofia is a knave
(5) Grace is a knave
(6) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Grace, Lily, Samuel, David, and Daniel. "Grace is a knight or David is a knave" - James. Grace told you that If David is a knave then Samuel is a knave. Lily said that If James is a knight then Daniel is a knight. Samuel asserted: "Samuel is a knight and Grace is a knave". David stated, "Lily is a knave or Samuel is a knight". Daniel said that David is a knave and James is a knave. So who is a knight and who is a knave?

James is a knight, Grace is a knight, Lily is a knave, Samuel is a knave, David is a knight, and Daniel is a knave.

(1) James is a knight
(2) Grace is a knight
(3) Lily is a knave
(4) Samuel is a knave
(5) David is a knight
(6) Daniel is a knave

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

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

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

Assume Lily is a knight. No contradiction is found in their claim that If James is a knight then Daniel is a knight.

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

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

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

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

Daniel cannot be a knight, because this would contradict the false claim of Lily that If James is a knight then Daniel is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Alexander, Abigail, Charlotte, Benjamin, Chloe, and Scarlett. Alexander noted, "Abigail is not a knave". "If Charlotte is a knight then Scarlett is a knight," Abigail mentioned. Charlotte expressed that Alexander is not a knight. In Benjamin's words: "Benjamin is a knight and Abigail is a knave". "Abigail is a knave and Charlotte is a knight," Chloe declared. According to Scarlett, "Chloe is a knight and Alexander is a knave". So who is a knight and who is a knave?

Alexander Abigail Charlotte Benjamin Chloe Scarlett

Alexander is a knight, Abigail is a knight, Charlotte is a knave, Benjamin is a knave, Chloe is a knave, and Scarlett is a knave.

(1) Alexander is a knight
(2) Abigail is a knight
(3) Charlotte is a knave
(4) Benjamin is a knave
(5) Chloe is a knave
(6) Scarlett is a knave

Assume Alexander is a knight. No contradiction is found in their claim that Abigail is not a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aria, Amelia, Emily, Elizabeth, Mason, and Jacob. "Jacob is a knight or Amelia is a knave," Aria declared. According to Amelia, "Elizabeth is not a knight". Emily expressed that Aria is a knight or Elizabeth is a knight. Elizabeth expressed that Mason is a knight or Jacob is a knave. Mason stated, "If Aria is a knight then Jacob is a knight". "If Emily is a knave then Aria is a knave," Jacob declared. So who is a knight and who is a knave?

Aria is a knight, Amelia is a knave, Emily is a knight, Elizabeth is a knight, Mason is a knight, and Jacob is a knight.

(1) Aria is a knight
(2) Amelia is a knave
(3) Emily is a knight
(4) Elizabeth is a knight
(5) Mason is a knight
(6) Jacob is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Logan, Michael, Aurora, Grace, Daniel, and Avery. Logan said that Grace is a knight if and only if Michael is a knave. "If Avery is a knave then Aurora is a knight," Michael mentioned. As Aurora put it, "If Logan is a knave then Avery is a knave". Grace remarked, "Avery is a knight if and only if Daniel is a knave". Daniel commented, "Michael is not a knave". In Avery's words: "If Michael is a knight then Aurora is a knave". So who is a knight and who is a knave?

Logan is a knave, Michael is a knight, Aurora is a knight, Grace is a knight, Daniel is a knight, and Avery is a knave.

(1) Logan is a knave
(2) Michael is a knight
(3) Aurora is a knight
(4) Grace is a knight
(5) Daniel is a knight
(6) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Isabella, Scarlett, Logan, Liam, and William. According to Mia, "Logan is a knight if and only if Isabella is a knight". Isabella was heard saying, "Mia is a knave if and only if Isabella is a knight". "Mia is a knave," Scarlett claimed. Logan noted, "If Mia is a knight then Logan is a knight". "Scarlett is a knight or Logan is a knight," Liam declared. William stated, "William is a knight or Liam is a knight". So who is a knight and who is a knave?

Mia Isabella Scarlett Logan Liam William

Mia is a knave, Isabella is a knave, Scarlett is a knight, Logan is a knight, Liam is a knight, and William is a knight.

(1) Mia is a knave
(2) Isabella is a knave
(3) Scarlett is a knight
(4) Logan is a knight
(5) Liam is a knight
(6) William is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 3), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('lying', 0), ('->', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('telling-truth', 5), ('telling-truth', 4)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Penelope, William, Alexander, Elizabeth, and Emma. Mia remarked, "Elizabeth is a knave or William is a knave". Penelope asserted: "William is a knight if and only if William is a knave". "Mia is a knight," William claimed. Alexander said, "Mia is a knight and Mia is a knave." Elizabeth commented, "William is a knight if and only if Penelope is a knight". "William is a knight and Penelope is a knave," Emma declared. So who is a knight and who is a knave?

Mia Penelope William Alexander Elizabeth Emma

Mia is a knight, Penelope is a knave, William is a knight, Alexander is a knave, Elizabeth is a knave, and Emma is a knight.

(1) Mia is a knight
(2) Penelope is a knave
(3) William is a knight
(4) Alexander is a knave
(5) Elizabeth is a knave
(6) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knight. No contradiction is found in their claim that William is a knight and Penelope is a knave.


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

Jack Aurora David Sophia Victoria Matthew

Jack is a knight, Aurora is a knight, David is a knight, Sophia is a knight, Victoria is a knave, and Matthew is a knight.

(1) Jack is a knight
(2) Aurora is a knight
(3) David is a knight
(4) Sophia is a knight
(5) Victoria is a knave
(6) Matthew is a knight

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

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

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

Assume Victoria is a knave. No contradiction is found in their false claim that Matthew is a knave and Aurora is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Chloe, Jack, Luke, Benjamin, Avery, and Joseph. Chloe said, "Luke is not a knight." "Benjamin is a knave or Benjamin is a knight," Jack declared. Luke stated, "Joseph is a knave". In a statement by Benjamin: "Luke is not a knight". According to Avery, "If Luke is a knave then Luke is a knight". "Luke is a knave if and only if Benjamin is a knight" - Joseph. So who is a knight and who is a knave?

Chloe is a knight, Jack is a knight, Luke is a knave, Benjamin is a knight, Avery is a knave, and Joseph is a knight.

(1) Chloe is a knight
(2) Jack is a knight
(3) Luke is a knave
(4) Benjamin is a knight
(5) Avery is a knave
(6) Joseph is a knight

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

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

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

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

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that If Luke is a knave then 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 6 inhabitants: Victoria, Scarlett, Ella, Daniel, Amelia, and Aurora. Victoria said that Scarlett is a knight. Scarlett said, "Ella is a knave." "Amelia is a knave" - Ella. Daniel commented, "Aurora is a knave if and only if Victoria is a knave". Amelia expressed that Scarlett is a knave if and only if Victoria is a knight. Aurora told you that Victoria is a knight and Ella is a knave. So who is a knight and who is a knave?

Victoria Scarlett Ella Daniel Amelia Aurora

Victoria is a knave, Scarlett is a knave, Ella is a knight, Daniel is a knight, Amelia is a knave, and Aurora is a knave.

(1) Victoria is a knave
(2) Scarlett is a knave
(3) Ella is a knight
(4) Daniel is a knight
(5) Amelia is a knave
(6) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Sofia, Amelia, Jack, Zoey, and Daniel. "Sofia is a knave if and only if Daniel is a knave" - Matthew. Sofia said that Matthew is a knight. Amelia expressed that Zoey is a knave. According to Jack, "Matthew is a knave and Sofia is a knight". Zoey asserted: "Matthew is not a knave". Daniel stated, "Matthew is a knight or Sofia is a knight". So who is a knight and who is a knave?

Matthew is a knight, Sofia is a knight, Amelia is a knave, Jack is a knave, Zoey is a knight, and Daniel is a knight.

(1) Matthew is a knight
(2) Sofia is a knight
(3) Amelia is a knave
(4) Jack is a knave
(5) Zoey is a knight
(6) Daniel is a knight

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Matthew is a knight or Sofia is a knight.

Assume Amelia 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 Amelia that Zoey is a knave.

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Matthew is a knave and 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 6 inhabitants: Lucas, Ava, Mason, Logan, Riley, and Ella. "Logan is a knave and Ava is a knight," Lucas claimed. Ava said that If Logan is a knight then Riley is a knight. Mason told you that Ella is a knave if and only if Logan is a knight. Logan commented, "If Ella is a knight then Ava is a knight". "Lucas is not a knave," Riley declared. Ella asserted: "Riley is a knave if and only if Ava is a knight". So who is a knight and who is a knave?

Lucas is a knave, Ava is a knave, Mason is a knight, Logan is a knight, Riley is a knave, and Ella is a knave.

(1) Lucas is a knave
(2) Ava is a knave
(3) Mason is a knight
(4) Logan is a knight
(5) Riley is a knave
(6) Ella is a knave

Assume Lucas is a knight. No contradiction is found in their claim that Logan is a knave and Ava is a knight.

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

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

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

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

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

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

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

Riley 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 Riley, so let us go back and reconsider Ella.

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

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

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

Assume Logan is a knight. No contradiction is found in their claim that If Ella is a knight then Ava is a knight.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Emma, Evelyn, Aiden, Daniel, and Benjamin. "If James is a knight then Emma is a knight" - James. "Evelyn is a knave and Aiden is a knave," Emma mentioned. Evelyn asserted: "If Emma is a knight then Evelyn is a knight". Aiden was heard saying, "Aiden is a knight and Emma is a knave". Daniel told you that If Evelyn is a knight then Aiden is a knight. Benjamin expressed that Evelyn is a knave if and only if James is a knight. So who is a knight and who is a knave?

James is a knight, Emma is a knight, Evelyn is a knave, Aiden is a knave, Daniel is a knight, and Benjamin is a knight.

(1) James is a knight
(2) Emma is a knight
(3) Evelyn is a knave
(4) Aiden is a knave
(5) Daniel is a knight
(6) Benjamin is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aria, Chloe, Jack, Abigail, Joseph, and Ella. "If Ella is a knight then Jack is a knight," Aria mentioned. "Jack is a knight or Ella is a knave," Chloe mentioned. As Jack put it, "Chloe is a knave and Ella is a knave". In Abigail's words: "Aria is a knave and Chloe is a knight". Joseph noted, "Chloe is a knight". Ella remarked, "Ella is a knight or Aria is a knight". So who is a knight and who is a knave?

Aria is a knave, Chloe is a knave, Jack is a knave, Abigail is a knave, Joseph is a knave, and Ella is a knight.

(1) Aria is a knave
(2) Chloe is a knave
(3) Jack is a knave
(4) Abigail is a knave
(5) Joseph is a knave
(6) Ella is a knight

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

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

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

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

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Chloe is a knave and Ella is a knave.

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

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

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

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

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

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

(('->', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('lying', 5)), ('and', ('lying', 1), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 1)), ('telling-truth', 1), ('or', ('telling-truth', 5), ('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 6 inhabitants: Samuel, Jackson, William, Penelope, Evelyn, and Matthew. Samuel stated, "Penelope is a knight". "If Penelope is a knight then Evelyn is a knight," Jackson mentioned. William asserted: "Jackson is a knave if and only if Jackson is a knight". Penelope expressed that William is a knave or Matthew is a knight. In Evelyn's words: "Matthew is a knave". Matthew stated, "Samuel is a knight". So who is a knight and who is a knave?

Samuel Jackson William Penelope Evelyn Matthew

Samuel is a knight, Jackson is a knave, William is a knave, Penelope is a knight, Evelyn is a knave, and Matthew is a knight.

(1) Samuel is a knight
(2) Jackson is a knave
(3) William is a knave
(4) Penelope is a knight
(5) Evelyn is a knave
(6) Matthew is a knight

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

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

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

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

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

Assume Evelyn 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 Evelyn that Matthew is a knave.

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

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

Evelyn cannot be a knave, because this would contradict the claim of Jackson that If Penelope is a knight then Evelyn is a knight.

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

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

Evelyn cannot be a knight, because this would contradict the false claim of Jackson that If Penelope is a knight then Evelyn is a knight.

Assume Evelyn 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 Samuel is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Avery, Aiden, Chloe, Aria, James, and Harper. Avery was heard saying, "Aria is a knave or Aria is a knight". Aiden asserted: "Aiden is a knight or Aria is a knight". "James is not a knight," Chloe mentioned. Aria said, "Aiden is a knave if and only if Aria is a knight." In a statement by James: "If Aria is a knight then Harper is a knight". Harper asserted: "Aria is not a knave". So who is a knight and who is a knave?

Avery is a knight, Aiden is a knave, Chloe is a knave, Aria is a knave, James is a knight, and Harper is a knave.

(1) Avery is a knight
(2) Aiden is a knave
(3) Chloe is a knave
(4) Aria is a knave
(5) James is a knight
(6) Harper is a knave

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that James is not a knight.

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that If Aria is a knight then Harper is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Jackson, Charlotte, Joseph, Aiden, and Grace. Scarlett remarked, "Jackson is a knave or Charlotte is a knight". Jackson was heard saying, "If Charlotte is a knave then Grace is a knight". Charlotte asserted: "Charlotte is a knight and Scarlett is a knave". According to Joseph, "Aiden is a knight if and only if Jackson is a knave". Aiden noted, "If Grace is a knave then Joseph is a knave". Grace said that Grace is a knight if and only if Scarlett is a knave. So who is a knight and who is a knave?

Scarlett Jackson Charlotte Joseph Aiden Grace

Scarlett is a knave, Jackson is a knight, Charlotte is a knave, Joseph is a knave, Aiden is a knight, and Grace is a knight.

(1) Scarlett is a knave
(2) Jackson is a knight
(3) Charlotte is a knave
(4) Joseph is a knave
(5) Aiden is a knight
(6) Grace is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Aiden cannot be a knave, because this would contradict the false claim of their own that If Grace is a knave then Joseph is a knave.

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

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

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