A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Ella, Jack, Daniel, Jackson, Evelyn, and William. Zoey noted, "Zoey is a knight or William is a knight". "If Evelyn is a knave then Evelyn is a knight," Ella claimed. "Zoey is a knight," Jack mentioned. Daniel stated, "Jackson is a knave or Jack is a knight". Jackson noted, "If Evelyn is a knight then William is a knave". According to Evelyn, "Zoey is a knave and Jackson is a knight". In a statement by William: "Zoey is a knave and Evelyn is a knight". So who is a knight and who is a knave?

Zoey Ella Jack Daniel Jackson Evelyn William

Zoey is a knight, Ella is a knave, Jack is a knight, Daniel is a knight, Jackson is a knight, Evelyn is a knave, and William is a knave.

(1) Zoey is a knight
(2) Ella is a knave
(3) Jack is a knight
(4) Daniel is a knight
(5) Jackson is a knight
(6) Evelyn is a knave
(7) William is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Michael, Daniel, Liam, Mason, Elizabeth, and Aria. Samuel stated, "Michael is not a knight". In Michael's words: "Mason is a knave". Daniel expressed that Aria is a knave. "Liam is a knight or Samuel is a knight," Liam claimed. "Daniel is a knight if and only if Liam is a knave," Mason mentioned. "Aria is a knight or Aria is a knave," Elizabeth mentioned. Aria expressed that Liam is a knave if and only if Aria is a knight. So who is a knight and who is a knave?

Samuel Michael Daniel Liam Mason Elizabeth Aria

Samuel is a knave, Michael is a knight, Daniel is a knave, Liam is a knave, Mason is a knave, Elizabeth is a knight, and Aria is a knight.

(1) Samuel is a knave
(2) Michael is a knight
(3) Daniel is a knave
(4) Liam is a knave
(5) Mason is a knave
(6) Elizabeth is a knight
(7) Aria is a knight

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

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

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

Assume Michael 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 Daniel is a knight if and only if Liam is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Aiden, Abigail, Avery, Sofia, Henry, and Isabella. As Liam put it, "Sofia is a knight if and only if Abigail is a knave". As Aiden put it, "Aiden is a knight and Isabella is a knight". In Abigail's words: "Avery is a knave and Liam is a knight". "If Abigail is a knave then Aiden is a knight" - Avery. According to Sofia, "Avery is a knight or Sofia is a knight". Henry expressed that Abigail is a knight. Isabella said, "Avery is a knave and Sofia is a knight." So who is a knight and who is a knave?

Liam Aiden Abigail Avery Sofia Henry Isabella

Liam is a knave, Aiden is a knave, Abigail is a knave, Avery is a knave, Sofia is a knave, Henry is a knave, and Isabella is a knave.

(1) Liam is a knave
(2) Aiden is a knave
(3) Abigail is a knave
(4) Avery is a knave
(5) Sofia is a knave
(6) Henry is a knave
(7) Isabella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 4), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 3), ('telling-truth', 0)), ('->', ('lying', 2), ('telling-truth', 1)), ('or', ('telling-truth', 3), ('telling-truth', 4)), ('telling-truth', 2), ('and', ('lying', 3), ('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 7 inhabitants: Olivia, Amelia, Samuel, Ava, Michael, Charlotte, and Alexander. As Olivia put it, "Alexander is a knight or Alexander is a knave". In a statement by Amelia: "Olivia is not a knave". "Michael is a knave and Ava is a knave," Samuel mentioned. Ava asserted: "Olivia is a knight or Amelia is a knave". In Michael's words: "Alexander is a knave and Olivia is a knave". Charlotte told you that Samuel is not a knave. "Samuel is a knave and Olivia is a knave" - Alexander. So who is a knight and who is a knave?

Olivia Amelia Samuel Ava Michael Charlotte Alexander

Olivia is a knight, Amelia is a knight, Samuel is a knave, Ava is a knight, Michael is a knave, Charlotte is a knave, and Alexander is a knave.

(1) Olivia is a knight
(2) Amelia is a knight
(3) Samuel is a knave
(4) Ava is a knight
(5) Michael is a knave
(6) Charlotte is a knave
(7) Alexander is a knave

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Samuel is a knave and Olivia is a knave.

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

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

Assume Michael is a knave. No contradiction is found in their false claim that Alexander is a knave and Olivia is a knave.

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that Michael is a knave and Ava is a knave.

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Samuel 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 7 inhabitants: William, Amelia, Sophia, Owen, Jack, Joseph, and David. In William's words: "If William is a knight then David is a knave". "Joseph is a knave or William is a knave," Amelia mentioned. Sophia commented, "William is not a knave". Owen asserted: "Amelia is a knight if and only if Joseph is a knight". Jack was heard saying, "If William is a knave then Amelia is a knight". Joseph noted, "Amelia is a knave and Owen is a knight". "William is a knight and Joseph is a knight," David claimed. So who is a knight and who is a knave?

William Amelia Sophia Owen Jack Joseph David

William is a knight, Amelia is a knight, Sophia is a knight, Owen is a knave, Jack is a knight, Joseph is a knave, and David is a knave.

(1) William is a knight
(2) Amelia is a knight
(3) Sophia is a knight
(4) Owen is a knave
(5) Jack is a knight
(6) Joseph is a knave
(7) David is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Sophia, Mia, Jackson, Oliver, Samuel, and Aurora. "Oliver is a knight and Sophia is a knave," Henry claimed. "Sophia is a knight" - Sophia. "Jackson is a knight if and only if Henry is a knight" - Mia. Jackson stated, "Sophia is a knight". Oliver remarked, "Jackson is a knight or Mia is a knight". Samuel told you that Mia is a knight if and only if Jackson is a knave. Aurora said that Samuel is a knave. So who is a knight and who is a knave?

Henry Sophia Mia Jackson Oliver Samuel Aurora

Henry is a knave, Sophia is a knight, Mia is a knave, Jackson is a knight, Oliver is a knight, Samuel is a knight, and Aurora is a knave.

(1) Henry is a knave
(2) Sophia is a knight
(3) Mia is a knave
(4) Jackson is a knight
(5) Oliver is a knight
(6) Samuel is a knight
(7) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Aria, Sebastian, Isabella, Evelyn, Penelope, and Grace. "Isabella is a knave if and only if Grace is a knave," William claimed. In a statement by Aria: "Grace is a knave or Grace is a knight". Sebastian noted, "Evelyn is a knave". "Isabella is a knight or Grace is a knight" - Isabella. "Penelope is a knave and Penelope is a knight," Evelyn mentioned. Penelope commented, "Aria is a knight". Grace noted, "If Penelope is a knight then Aria is a knight". So who is a knight and who is a knave?

William Aria Sebastian Isabella Evelyn Penelope Grace

William is a knight, Aria is a knight, Sebastian is a knight, Isabella is a knight, Evelyn is a knave, Penelope is a knight, and Grace is a knight.

(1) William is a knight
(2) Aria is a knight
(3) Sebastian is a knight
(4) Isabella is a knight
(5) Evelyn is a knave
(6) Penelope is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

Assume Evelyn is a knave. No contradiction is found in their false claim that Penelope is a knave and 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 7 inhabitants: Lily, Joseph, Daniel, Sophia, Avery, Sofia, and Noah. Lily said that If Sofia is a knave then Avery is a knave. Joseph noted, "Avery is not a knight". In Daniel's words: "Noah is a knave". As Sophia put it, "If Avery is a knight then Lily is a knight". As Avery put it, "Sophia is a knight". Sofia told you that Avery is not a knave. "Joseph is a knave or Avery is a knave," Noah mentioned. So who is a knight and who is a knave?

Lily Joseph Daniel Sophia Avery Sofia Noah

Lily is a knight, Joseph is a knave, Daniel is a knave, Sophia is a knight, Avery is a knight, Sofia is a knight, and Noah is a knight.

(1) Lily is a knight
(2) Joseph is a knave
(3) Daniel is a knave
(4) Sophia is a knight
(5) Avery is a knight
(6) Sofia is a knight
(7) Noah is a knight

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

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

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

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

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

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

Assume Daniel 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 Daniel that Noah is a knave.

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

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

Assume Daniel 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 Joseph is a knave or Avery 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 7 inhabitants: Harper, Joseph, Lily, Owen, Chloe, James, and Evelyn. Harper said, "Evelyn is a knave or Joseph is a knave." Joseph stated, "James is a knave or Evelyn is a knight". "Harper is a knave or Joseph is a knight" - Lily. Owen expressed that If James is a knight then James is a knave. "James is a knight or Joseph is a knave," Chloe claimed. James commented, "Harper is a knave if and only if Joseph is a knight". In a statement by Evelyn: "Owen is a knight". So who is a knight and who is a knave?

Harper Joseph Lily Owen Chloe James Evelyn

Harper is a knight, Joseph is a knave, Lily is a knave, Owen is a knave, Chloe is a knight, James is a knight, and Evelyn is a knave.

(1) Harper is a knight
(2) Joseph is a knave
(3) Lily is a knave
(4) Owen is a knave
(5) Chloe is a knight
(6) James is a knight
(7) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that James is a knight or 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 7 inhabitants: Henry, Chloe, Jacob, Ella, Liam, Mason, and Michael. According to Henry, "If Mason is a knave then Jacob is a knave". Chloe asserted: "If Michael is a knave then Jacob is a knave". "Liam is a knave and Henry is a knight" - Jacob. Ella said that Chloe is a knave if and only if Mason is a knave. Liam stated, "Michael is a knave". Mason asserted: "Michael is a knight". Michael told you that Henry is a knight. So who is a knight and who is a knave?

Henry Chloe Jacob Ella Liam Mason Michael

Henry is a knight, Chloe is a knight, Jacob is a knight, Ella is a knight, Liam is a knave, Mason is a knight, and Michael is a knight.

(1) Henry is a knight
(2) Chloe is a knight
(3) Jacob is a knight
(4) Ella is a knight
(5) Liam is a knave
(6) Mason is a knight
(7) Michael is a knight

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

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

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

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

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

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

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

Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knave if and only if 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 7 inhabitants: Harper, Olivia, Penelope, Amelia, Chloe, Benjamin, and Ella. "If Benjamin is a knave then Benjamin is a knight," Harper mentioned. Olivia told you that Harper is a knave or Penelope is a knight. Penelope stated, "Harper is a knight or Benjamin is a knight". Amelia asserted: "Harper is a knave if and only if Olivia is a knave". In Chloe's words: "Ella is a knave if and only if Penelope is a knave". In Benjamin's words: "Ella is not a knight". In a statement by Ella: "Chloe is a knight". So who is a knight and who is a knave?

Harper Olivia Penelope Amelia Chloe Benjamin Ella

Harper is a knight, Olivia is a knight, Penelope is a knight, Amelia is a knight, Chloe is a knave, Benjamin is a knight, and Ella is a knave.

(1) Harper is a knight
(2) Olivia is a knight
(3) Penelope is a knight
(4) Amelia is a knight
(5) Chloe is a knave
(6) Benjamin is a knight
(7) Ella is a knave

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Harper is a knave if and only if Olivia 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 7 inhabitants: Aiden, Alexander, Jacob, Aurora, Michael, Isabella, and Henry. Aiden commented, "Aiden is a knight and Aurora is a knight". "Aiden is a knight if and only if Aurora is a knave," Alexander claimed. Jacob said, "Aiden is a knight." In a statement by Aurora: "Michael is a knight if and only if Jacob is a knave". Michael asserted: "Isabella is not a knight". Isabella commented, "Aurora is a knight or Alexander is a knight". Henry told you that If Aurora is a knave then Aiden is a knave. So who is a knight and who is a knave?

Aiden Alexander Jacob Aurora Michael Isabella Henry

Aiden is a knight, Alexander is a knave, Jacob is a knight, Aurora is a knight, Michael is a knave, Isabella is a knight, and Henry is a knight.

(1) Aiden is a knight
(2) Alexander is a knave
(3) Jacob is a knight
(4) Aurora is a knight
(5) Michael is a knave
(6) Isabella is a knight
(7) Henry is a knight

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Aurora is a knight or Alexander is a knight.

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that If Aurora is a knave 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 7 inhabitants: Evelyn, Benjamin, Lily, Emily, Aiden, Alexander, and Matthew. "Aiden is not a knave" - Evelyn. According to Benjamin, "Alexander is a knave". Lily said that Matthew is a knight and Evelyn is a knight. As Emily put it, "Lily is a knave and Evelyn is a knave". Aiden was heard saying, "Matthew is a knave or Alexander is a knave". As Alexander put it, "Aiden is not a knave". Matthew expressed that Benjamin is a knight or Matthew is a knight. So who is a knight and who is a knave?

Evelyn Benjamin Lily Emily Aiden Alexander Matthew

Evelyn is a knight, Benjamin is a knave, Lily is a knave, Emily is a knave, Aiden is a knight, Alexander is a knight, and Matthew is a knave.

(1) Evelyn is a knight
(2) Benjamin is a knave
(3) Lily is a knave
(4) Emily is a knave
(5) Aiden is a knight
(6) Alexander is a knight
(7) Matthew is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Lily is a knave and Evelyn 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 7 inhabitants: Isabella, Matthew, Aiden, Chloe, Jackson, Charlotte, and Ethan. Isabella remarked, "Charlotte is not a knight". In Matthew's words: "Aiden is a knave and Chloe is a knight". In a statement by Aiden: "If Isabella is a knave then Charlotte is a knight". As Chloe put it, "Matthew is a knave and Ethan is a knight". Jackson told you that Matthew is a knight and Charlotte is a knight. "Jackson is not a knight," Charlotte declared. Ethan asserted: "Isabella is a knave if and only if Matthew is a knave". So who is a knight and who is a knave?

Isabella Matthew Aiden Chloe Jackson Charlotte Ethan

Isabella is a knave, Matthew is a knave, Aiden is a knight, Chloe is a knight, Jackson is a knave, Charlotte is a knight, and Ethan is a knight.

(1) Isabella is a knave
(2) Matthew is a knave
(3) Aiden is a knight
(4) Chloe is a knight
(5) Jackson is a knave
(6) Charlotte is a knight
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Liam, William, Sofia, Zoey, Luke, and Lily. Oliver remarked, "If Luke is a knight then Lily is a knight". Liam asserted: "William is a knight and Lily is a knave". William commented, "Lily is a knave and Sofia is a knave". In a statement by Sofia: "Zoey is a knight if and only if Zoey is a knave". Zoey said that Lily is a knave or Sofia is a knight. "William is not a knave," Luke claimed. Lily was heard saying, "Sofia is not a knave". So who is a knight and who is a knave?

Oliver Liam William Sofia Zoey Luke Lily

Oliver is a knave, Liam is a knight, William is a knight, Sofia is a knave, Zoey is a knight, Luke is a knight, and Lily is a knave.

(1) Oliver is a knave
(2) Liam is a knight
(3) William is a knight
(4) Sofia is a knave
(5) Zoey is a knight
(6) Luke is a knight
(7) Lily is a knave

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

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

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

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

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Lily is a knave and Sofia is a knave.

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

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

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

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

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

Sofia cannot be a knave, because this would contradict the false claim of William that Lily is a knave and Sofia is a knave.

We have exhausted all possibilities for Sofia, Lily, William, and Luke, so let us go back and reconsider Oliver.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Scarlett, Ella, Grace, Abigail, Noah, and James. Mia noted, "Abigail is a knave and Noah is a knave". Scarlett said that Abigail is a knight or Mia is a knave. Ella commented, "Mia is a knight or James is a knight". According to Grace, "Mia is a knave". Abigail was heard saying, "Grace is a knight or Abigail is a knight". In Noah's words: "Ella is not a knave". James commented, "If Scarlett is a knave then Grace is a knave". So who is a knight and who is a knave?

Mia Scarlett Ella Grace Abigail Noah James

Mia is a knave, Scarlett is a knight, Ella is a knight, Grace is a knight, Abigail is a knight, Noah is a knight, and James is a knight.

(1) Mia is a knave
(2) Scarlett is a knight
(3) Ella is a knight
(4) Grace is a knight
(5) Abigail is a knight
(6) Noah is a knight
(7) James is a knight

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

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

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

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

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

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

Assume Noah 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 Noah that Ella is not a knave.

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Abigail is a knave and Noah is a knave.

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

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

Assume Noah 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 Mia is a knight or James is a knight.

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

Assume Scarlett is a knight. No contradiction is found in their claim that Abigail is a knight or Mia 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 7 inhabitants: Matthew, Aurora, Lucas, Grace, Charlotte, Aria, and Mia. Matthew noted, "Grace is not a knave". "Mia is a knave if and only if Charlotte is a knave" - Aurora. Lucas was heard saying, "Mia is a knave or Aria is a knight". Grace stated, "Lucas is a knave". Charlotte was heard saying, "Aria is a knave and Matthew is a knight". "Mia is a knave or Grace is a knave," Aria declared. "Matthew is a knight and Aurora is a knave," Mia claimed. So who is a knight and who is a knave?

Matthew Aurora Lucas Grace Charlotte Aria Mia

Matthew is a knave, Aurora is a knight, Lucas is a knight, Grace is a knave, Charlotte is a knave, Aria is a knight, and Mia is a knave.

(1) Matthew is a knave
(2) Aurora is a knight
(3) Lucas is a knight
(4) Grace is a knave
(5) Charlotte is a knave
(6) Aria is a knight
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Lily, Lucas, Jackson, Ava, Matthew, and Harper. Michael asserted: "Matthew is a knave or Ava is a knight". "Lily is a knight or Lucas is a knight," Lily claimed. As Lucas put it, "If Harper is a knave then Harper is a knight". Jackson was heard saying, "Michael is a knight if and only if Michael is a knave". In Ava's words: "Matthew is a knight if and only if Harper is a knight". Matthew commented, "Jackson is a knight". "If Lily is a knave then Matthew is a knave" - Harper. So who is a knight and who is a knave?

Michael Lily Lucas Jackson Ava Matthew Harper

Michael is a knight, Lily is a knight, Lucas is a knight, Jackson is a knave, Ava is a knave, Matthew is a knave, and Harper is a knight.

(1) Michael is a knight
(2) Lily is a knight
(3) Lucas is a knight
(4) Jackson is a knave
(5) Ava is a knave
(6) Matthew is a knave
(7) Harper is a knight

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

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

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

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

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

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

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

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

Harper cannot be a knight, because this would contradict the claim of Ava that Matthew is a knight if and only if Harper is a knight.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Abigail, Jackson, Lily, Michael, Aurora, and Sofia. "Jackson is a knight or Sofia is a knave," Penelope claimed. In Abigail's words: "Jackson is a knight". As Jackson put it, "Lily is a knight or Penelope is a knave". As Lily put it, "Penelope is a knave and Michael is a knight". "If Abigail is a knight then Aurora is a knave," Michael declared. Aurora remarked, "Lily is a knave or Sofia is a knave". Sofia noted, "Jackson is a knave if and only if Michael is a knave". So who is a knight and who is a knave?

Penelope Abigail Jackson Lily Michael Aurora Sofia

Penelope is a knight, Abigail is a knave, Jackson is a knave, Lily is a knave, Michael is a knight, Aurora is a knight, and Sofia is a knave.

(1) Penelope is a knight
(2) Abigail is a knave
(3) Jackson is a knave
(4) Lily is a knave
(5) Michael is a knight
(6) Aurora is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Avery, Riley, Oliver, Ethan, William, and Emma. Scarlett said, "Avery is a knight and William is a knight." "Ethan is a knave if and only if Scarlett is a knight," Avery claimed. In Riley's words: "If Emma is a knave then Avery is a knave". Oliver said, "Riley is not a knight." "Oliver is a knight," Ethan declared. "Riley is not a knight," William declared. Emma was heard saying, "William is not a knight". So who is a knight and who is a knave?

Scarlett Avery Riley Oliver Ethan William Emma

Scarlett is a knave, Avery is a knave, Riley is a knight, Oliver is a knave, Ethan is a knave, William is a knave, and Emma is a knight.

(1) Scarlett is a knave
(2) Avery is a knave
(3) Riley is a knight
(4) Oliver is a knave
(5) Ethan is a knave
(6) William is a knave
(7) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Riley 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 7 inhabitants: Riley, Alexander, Noah, Scarlett, Jackson, Aurora, and Avery. "Avery is not a knight," Riley declared. "Alexander is a knight if and only if Avery is a knight" - Alexander. Noah remarked, "Riley is a knave and Alexander is a knave". "Avery is a knight," Scarlett claimed. "Riley is a knave or Noah is a knave," Jackson mentioned. Aurora said that Riley is a knight and Aurora is a knight. Avery remarked, "Alexander is a knight". So who is a knight and who is a knave?

Riley Alexander Noah Scarlett Jackson Aurora Avery

Riley is a knave, Alexander is a knight, Noah is a knave, Scarlett is a knight, Jackson is a knight, Aurora is a knave, and Avery is a knight.

(1) Riley is a knave
(2) Alexander is a knight
(3) Noah is a knave
(4) Scarlett is a knight
(5) Jackson is a knight
(6) Aurora is a knave
(7) Avery is a knight

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

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

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

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

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

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

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Riley is a knave and Alexander is a knave.

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

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

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

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

(('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('telling-truth', 6)), ('and', ('lying', 0), ('lying', 1)), ('telling-truth', 6), ('or', ('lying', 0), ('lying', 2)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('telling-truth', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Lily, Oliver, Samuel, Grace, Mia, and Scarlett. In Noah's words: "Scarlett is not a knight". Lily stated, "Noah is a knight or Oliver is a knight". Oliver noted, "Mia is a knave or Mia is a knight". Samuel expressed that Lily is not a knave. Grace was heard saying, "Lily is a knight or Samuel is a knight". Mia was heard saying, "Scarlett is not a knave". Scarlett asserted: "If Lily is a knave then Grace is a knight". So who is a knight and who is a knave?

Noah Lily Oliver Samuel Grace Mia Scarlett

Noah is a knave, Lily is a knight, Oliver is a knight, Samuel is a knight, Grace is a knight, Mia is a knight, and Scarlett is a knight.

(1) Noah is a knave
(2) Lily is a knight
(3) Oliver is a knight
(4) Samuel is a knight
(5) Grace is a knight
(6) Mia is a knight
(7) Scarlett is a knight

Assume Noah is a knight. No contradiction is found in their claim that Scarlett is not a knight.

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Lily 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 7 inhabitants: Owen, Ella, David, Mason, Harper, Aurora, and Chloe. Owen remarked, "David is a knave or Owen is a knight". Ella noted, "Owen is a knave and Chloe is a knave". As David put it, "Chloe is not a knight". Mason was heard saying, "Aurora is a knight if and only if Ella is a knave". Harper stated, "Ella is not a knight". "Chloe is a knight," Aurora declared. In a statement by Chloe: "David is a knave if and only if Chloe is a knight". So who is a knight and who is a knave?

Owen Ella David Mason Harper Aurora Chloe

Owen is a knight, Ella is a knave, David is a knave, Mason is a knight, Harper is a knight, Aurora is a knight, and Chloe is a knight.

(1) Owen is a knight
(2) Ella is a knave
(3) David is a knave
(4) Mason is a knight
(5) Harper is a knight
(6) Aurora is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knight. No contradiction is found in their claim that Ella 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 7 inhabitants: Sofia, Alexander, Mason, Chloe, Evelyn, Penelope, and Luke. Sofia told you that Alexander is a knight if and only if Sofia is a knight. "Sofia is a knight or Chloe is a knave," Alexander claimed. "Chloe is a knave if and only if Chloe is a knight," Mason mentioned. Chloe asserted: "If Chloe is a knight then Mason is a knave". Evelyn expressed that Mason is a knave or Chloe is a knave. Penelope asserted: "Sofia is a knave or Alexander is a knave". Luke commented, "Evelyn is not a knave". So who is a knight and who is a knave?

Sofia Alexander Mason Chloe Evelyn Penelope Luke

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Sofia is a knave or Alexander is a knave.

Assume Luke is a knight. No contradiction is found in their claim that Evelyn 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 7 inhabitants: Matthew, Sophia, Evelyn, Ethan, Henry, James, and Abigail. Matthew was heard saying, "James is not a knave". "If Abigail is a knave then James is a knight" - Sophia. Evelyn told you that James is a knave if and only if Matthew is a knave. Ethan asserted: "Evelyn is not a knave". "Matthew is a knight if and only if Sophia is a knave," Henry claimed. James was heard saying, "Evelyn is not a knave". In a statement by Abigail: "James is not a knight". So who is a knight and who is a knave?

Matthew Sophia Evelyn Ethan Henry James Abigail

Matthew is a knight, Sophia is a knight, Evelyn is a knight, Ethan is a knight, Henry is a knave, James is a knight, and Abigail is a knave.

(1) Matthew is a knight
(2) Sophia is a knight
(3) Evelyn is a knight
(4) Ethan is a knight
(5) Henry is a knave
(6) James is a knight
(7) Abigail is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Aiden, Victoria, Alexander, Olivia, James, and Noah. Samuel said, "Alexander is a knave if and only if Alexander is a knight." Aiden remarked, "Noah is a knight and Olivia is a knave". Victoria said, "Noah is a knight and James is a knight." "Victoria is not a knight," Alexander declared. Olivia was heard saying, "James is a knave and Aiden is a knave". "Victoria is a knave" - James. Noah noted, "Victoria is a knight if and only if Samuel is a knave". So who is a knight and who is a knave?

Samuel Aiden Victoria Alexander Olivia James Noah

Samuel is a knave, Aiden is a knave, Victoria is a knave, Alexander is a knight, Olivia is a knave, James is a knight, and Noah is a knave.

(1) Samuel is a knave
(2) Aiden is a knave
(3) Victoria is a knave
(4) Alexander is a knight
(5) Olivia is a knave
(6) James is a knight
(7) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that James is a knave and 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 7 inhabitants: Sofia, Victoria, Zoey, Ella, Aria, Mia, and Olivia. Sofia expressed that Ella is a knight or Victoria is a knave. "Aria is a knave," Victoria claimed. Zoey told you that Sofia is a knight if and only if Victoria is a knave. In Ella's words: "Olivia is a knight and Olivia is a knave". "Ella is a knave," Aria declared. "Victoria is a knight and Olivia is a knave" - Mia. "If Sofia is a knight then Aria is a knight," Olivia mentioned. So who is a knight and who is a knave?

Sofia Victoria Zoey Ella Aria Mia Olivia

Sofia is a knight, Victoria is a knave, Zoey is a knight, Ella is a knave, Aria is a knight, Mia is a knave, and Olivia is a knight.

(1) Sofia is a knight
(2) Victoria is a knave
(3) Zoey is a knight
(4) Ella is a knave
(5) Aria is a knight
(6) Mia is a knave
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Victoria is a knight and Olivia 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 7 inhabitants: Ava, Luke, Scarlett, Logan, Amelia, Aurora, and Ethan. Ava was heard saying, "Logan is a knave and Amelia is a knave". Luke stated, "Aurora is not a knight". "Luke is a knight," Scarlett claimed. Logan noted, "Luke is a knight". Amelia told you that If Luke is a knight then Logan is a knight. "Logan is a knave and Amelia is a knave," Aurora mentioned. "Amelia is a knight," Ethan declared. So who is a knight and who is a knave?

Ava Luke Scarlett Logan Amelia Aurora Ethan

Ava is a knave, Luke is a knight, Scarlett is a knight, Logan is a knight, Amelia is a knight, Aurora is a knave, and Ethan is a knight.

(1) Ava is a knave
(2) Luke is a knight
(3) Scarlett is a knight
(4) Logan is a knight
(5) Amelia is a knight
(6) Aurora is a knave
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('lying', 3), ('lying', 4)), ('not', ('telling-truth', 5)), ('telling-truth', 1), ('telling-truth', 1), ('->', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('lying', 3), ('lying', 4)), ('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 7 inhabitants: Evelyn, Emily, Lily, Joseph, Owen, Emma, and Grace. Evelyn expressed that Joseph is a knave or Lily is a knight. "Joseph is a knight" - Emily. "If Owen is a knight then Joseph is a knave" - Lily. "Lily is not a knight," Joseph claimed. Owen expressed that Emily is a knave. Emma said that Lily is a knight and Grace is a knave. In a statement by Grace: "Joseph is a knight and Owen is a knight". So who is a knight and who is a knave?

Evelyn Emily Lily Joseph Owen Emma Grace

Evelyn is a knight, Emily is a knave, Lily is a knight, Joseph is a knave, Owen is a knight, Emma is a knight, and Grace is a knave.

(1) Evelyn is a knight
(2) Emily is a knave
(3) Lily is a knight
(4) Joseph is a knave
(5) Owen is a knight
(6) Emma is a knight
(7) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

(('or', ('lying', 3), ('telling-truth', 2)), ('telling-truth', 3), ('->', ('telling-truth', 4), ('lying', 3)), ('not', ('telling-truth', 2)), ('lying', 1), ('and', ('telling-truth', 2), ('lying', 6)), ('and', ('telling-truth', 3), ('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 7 inhabitants: Avery, Samuel, Emma, Daniel, Logan, David, and Oliver. Avery said, "Samuel is a knight and Avery is a knight." Samuel said, "Emma is a knave and Avery is a knight." "David is a knave and Oliver is a knave," Emma declared. In a statement by Daniel: "Daniel is a knight and Avery is a knight". Logan told you that Avery is not a knave. "If Oliver is a knave then Emma is a knight" - David. In a statement by Oliver: "Logan is a knave if and only if Emma is a knave". So who is a knight and who is a knave?

Avery Samuel Emma Daniel Logan David Oliver

Avery is a knave, Samuel is a knave, Emma is a knave, Daniel is a knave, Logan is a knave, David is a knight, and Oliver is a knight.

(1) Avery is a knave
(2) Samuel is a knave
(3) Emma is a knave
(4) Daniel is a knave
(5) Logan is a knave
(6) David is a knight
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Oliver cannot be a knave, because this would contradict the false claim of Emma that David is a knave and Oliver is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Michael, Ava, Harper, James, Owen, and Sophia. According to Noah, "Sophia is a knight". According to Michael, "Harper is a knave if and only if Noah is a knave". In Ava's words: "Ava is a knight and James is a knight". "Michael is a knight or James is a knight," Harper mentioned. As James put it, "Owen is a knight or Sophia is a knave". "Michael is a knave and Sophia is a knight" - Owen. Sophia was heard saying, "Harper is not a knave". So who is a knight and who is a knave?

Noah Michael Ava Harper James Owen Sophia

Noah is a knight, Michael is a knight, Ava is a knave, Harper is a knight, James is a knave, Owen is a knave, and Sophia is a knight.

(1) Noah is a knight
(2) Michael is a knight
(3) Ava is a knave
(4) Harper is a knight
(5) James is a knave
(6) Owen is a knave
(7) Sophia is a knight

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

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

Assume Harper is a knight. No contradiction is found in their claim that Michael is a knight or James is a knight.

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Ava is a knight and 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 7 inhabitants: Jacob, James, Olivia, Scarlett, Emma, Charlotte, and Victoria. In a statement by Jacob: "Scarlett is a knave or Victoria is a knave". "Victoria is a knave or Olivia is a knight" - James. Olivia remarked, "Jacob is not a knight". Scarlett expressed that Charlotte is not a knave. Emma commented, "If Victoria is a knight then Olivia is a knave". Charlotte commented, "Emma is a knave". In Victoria's words: "James is a knight". So who is a knight and who is a knave?

Jacob James Olivia Scarlett Emma Charlotte Victoria

Jacob is a knave, James is a knight, Olivia is a knight, Scarlett is a knight, Emma is a knave, Charlotte is a knight, and Victoria is a knight.

(1) Jacob is a knave
(2) James is a knight
(3) Olivia is a knight
(4) Scarlett is a knight
(5) Emma is a knave
(6) Charlotte is a knight
(7) Victoria is a knight

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

Assume Scarlett 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 Emma is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Jacob 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 7 inhabitants: Emma, Harper, Isabella, Ethan, Ava, David, and Samuel. According to Emma, "Samuel is not a knave". "David is a knight," Harper declared. Isabella stated, "Isabella is a knight and Ava is a knight". Ethan said, "Samuel is a knight and David is a knave." "Harper is not a knave" - Ava. David noted, "Emma is not a knave". Samuel remarked, "Ethan is a knight and Emma is a knight". So who is a knight and who is a knave?

Emma Harper Isabella Ethan Ava David Samuel

Emma is a knave, Harper is a knave, Isabella is a knave, Ethan is a knave, Ava is a knave, David is a knave, and Samuel is a knave.

(1) Emma is a knave
(2) Harper is a knave
(3) Isabella is a knave
(4) Ethan is a knave
(5) Ava is a knave
(6) David is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Ava is a knight.

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

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

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

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

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

(('not', ('lying', 6)), ('telling-truth', 5), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('and', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 1)), ('not', ('lying', 0)), ('and', ('telling-truth', 3), ('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 7 inhabitants: Penelope, Owen, Grace, Amelia, Aiden, Lucas, and Mia. Penelope said, "If Mia is a knight then Aiden is a knave." Owen said that Grace is a knight or Penelope is a knight. In a statement by Grace: "Penelope is a knight or Amelia is a knave". Amelia noted, "Owen is not a knave". In a statement by Aiden: "Penelope is a knight if and only if Owen is a knave". According to Lucas, "Aiden is a knight if and only if Owen is a knave". Mia remarked, "Owen is not a knave". So who is a knight and who is a knave?

Penelope Owen Grace Amelia Aiden Lucas Mia

Penelope is a knight, Owen is a knight, Grace is a knight, Amelia is a knight, Aiden is a knave, Lucas is a knight, and Mia is a knight.

(1) Penelope is a knight
(2) Owen is a knight
(3) Grace is a knight
(4) Amelia is a knight
(5) Aiden is a knave
(6) Lucas is a knight
(7) Mia is a knight

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

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

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

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

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

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

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

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