A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Zoey, Sophia, Joseph, Grace, Olivia, and Sebastian. Luke noted, "Grace is a knave". "Sebastian is a knight if and only if Sophia is a knight" - Zoey. "Olivia is not a knave," Sophia mentioned. Joseph noted, "Olivia is a knave". "Grace is a knight if and only if Joseph is a knight," Grace claimed. According to Olivia, "Zoey is not a knight". Sebastian stated, "Grace is a knave or Sebastian is a knight". So who is a knight and who is a knave?

Luke Zoey Sophia Joseph Grace Olivia Sebastian

Luke is a knave, Zoey is a knight, Sophia is a knave, Joseph is a knight, Grace is a knight, Olivia is a knave, and Sebastian is a knave.

(1) Luke is a knave
(2) Zoey is a knight
(3) Sophia is a knave
(4) Joseph is a knight
(5) Grace is a knight
(6) Olivia is a knave
(7) Sebastian is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Sophia cannot be a knight, because this would contradict the claim of Zoey that Sebastian is a knight if and only if Sophia is a knight.

Assume Sophia is a knave. No contradiction is found in their false claim that Olivia 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, Evelyn, Sophia, Benjamin, Avery, Emma, and Grace. Matthew said that Matthew is a knight if and only if Benjamin is a knight. Evelyn commented, "If Emma is a knight then Matthew is a knave". In a statement by Sophia: "Matthew is a knave and Grace is a knave". Benjamin expressed that Matthew is a knave. "Benjamin is a knight or Matthew is a knave" - Avery. Emma told you that Avery is a knave if and only if Matthew is a knight. Grace noted, "Matthew is a knight". So who is a knight and who is a knave?

Matthew Evelyn Sophia Benjamin Avery Emma Grace

Matthew is a knave, Evelyn is a knight, Sophia is a knight, Benjamin is a knight, Avery is a knight, Emma is a knight, and Grace is a knave.

(1) Matthew is a knave
(2) Evelyn is a knight
(3) Sophia is a knight
(4) Benjamin is a knight
(5) Avery is a knight
(6) Emma is a knight
(7) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace is a knave. No contradiction is found in their false claim that Matthew 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, Emily, Matthew, Alexander, Benjamin, Chloe, and Ethan. In Penelope's words: "Chloe is a knave if and only if Alexander is a knave". Emily stated, "Penelope is a knave and Alexander is a knight". "Emily is a knave," Matthew mentioned. In Alexander's words: "If Chloe is a knight then Benjamin is a knave". Benjamin asserted: "Matthew is a knave or Ethan is a knave". Chloe expressed that Ethan is a knight or Benjamin is a knight. Ethan said, "Chloe is a knight." So who is a knight and who is a knave?

Penelope Emily Matthew Alexander Benjamin Chloe Ethan

Penelope is a knight, Emily is a knave, Matthew is a knight, Alexander is a knight, Benjamin is a knave, Chloe is a knight, and Ethan is a knight.

(1) Penelope is a knight
(2) Emily is a knave
(3) Matthew is a knight
(4) Alexander is a knight
(5) Benjamin is a knave
(6) Chloe is a knight
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Alexander is a knight. No contradiction is found in their claim that If Chloe is a knight then Benjamin 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, Joseph, Amelia, Benjamin, Ava, Olivia, and William. Samuel asserted: "William is a knave or Amelia is a knave". Joseph remarked, "If Olivia is a knight then Benjamin is a knave". Amelia stated, "Olivia is a knave". Benjamin said that Joseph is a knave and Ava is a knight. "Amelia is a knight and Benjamin is a knave" - Ava. Olivia said, "Benjamin is not a knave." William said that Olivia is a knave if and only if Amelia is a knight. So who is a knight and who is a knave?

Samuel Joseph Amelia Benjamin Ava Olivia William

Samuel is a knave, Joseph is a knight, Amelia is a knight, Benjamin is a knave, Ava is a knight, Olivia is a knave, and William is a knight.

(1) Samuel is a knave
(2) Joseph is a knight
(3) Amelia is a knight
(4) Benjamin is a knave
(5) Ava is a knight
(6) Olivia is a knave
(7) William is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that 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: Joseph, Lucas, Zoey, Aiden, Daniel, Charlotte, and William. Joseph said, "Charlotte is not a knave." As Lucas put it, "Charlotte is a knave". "William is a knave or Aiden is a knave," Zoey declared. "Lucas is not a knight," Aiden declared. Daniel stated, "If Joseph is a knave then Charlotte is a knave". "Zoey is a knight and Daniel is a knight," Charlotte mentioned. William said, "William is a knight." So who is a knight and who is a knave?

Joseph Lucas Zoey Aiden Daniel Charlotte William

Joseph is a knight, Lucas is a knave, Zoey is a knight, Aiden is a knight, Daniel is a knight, Charlotte is a knight, and William is a knave.

(1) Joseph is a knight
(2) Lucas is a knave
(3) Zoey is a knight
(4) Aiden is a knight
(5) Daniel is a knight
(6) Charlotte is a knight
(7) William is a knave

Assume Joseph 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 Zoey is a knight and Daniel is a knight.

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

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

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

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

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

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

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

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that If Joseph is a knave then Charlotte 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, Matthew, Aurora, Jacob, Michael, Oliver, and Grace. Liam told you that If Jacob is a knight then Matthew is a knight. Matthew noted, "Aurora is not a knight". Aurora said, "Jacob is a knight and Oliver is a knight." According to Jacob, "Michael is a knight if and only if Oliver is a knave". Michael told you that Oliver is a knight. Oliver expressed that Grace is a knight and Liam is a knight. Grace stated, "Matthew is not a knave". So who is a knight and who is a knave?

Liam Matthew Aurora Jacob Michael Oliver Grace

Liam is a knight, Matthew is a knight, Aurora is a knave, Jacob is a knave, Michael is a knight, Oliver is a knight, and Grace is a knight.

(1) Liam is a knight
(2) Matthew is a knight
(3) Aurora is a knave
(4) Jacob is a knave
(5) Michael is a knight
(6) Oliver is a knight
(7) Grace is a knight

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

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

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

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

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

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

Assume Michael 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 Michael that Oliver is a knight.

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

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

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

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

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

Assume Matthew 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 Matthew that Aurora is not a knight.

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

(('->', ('telling-truth', 3), ('telling-truth', 1)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('<=>', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 5), ('and', ('telling-truth', 6), ('telling-truth', 0)), ('not', ('lying', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Jacob, David, Daniel, Henry, Mia, and Logan. According to Mason, "Henry is not a knight". According to Jacob, "Mia is a knave and Henry is a knave". "If Logan is a knave then Mia is a knave," David declared. "Daniel is a knight or Mia is a knave," Daniel mentioned. Henry remarked, "David is a knave if and only if Mia is a knave". In a statement by Mia: "Mason is a knave". Logan noted, "David is a knave and Logan is a knight". So who is a knight and who is a knave?

Mason Jacob David Daniel Henry Mia Logan

Mason is a knight, Jacob is a knight, David is a knight, Daniel is a knight, Henry is a knave, Mia is a knave, and Logan is a knave.

(1) Mason is a knight
(2) Jacob is a knight
(3) David is a knight
(4) Daniel is a knight
(5) Henry is a knave
(6) Mia is a knave
(7) Logan is a knave

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

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

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

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

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

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

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Daniel 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: Scarlett, Lily, Alexander, David, Oliver, Harper, and Jacob. Scarlett told you that Jacob is a knight. "David is a knave and Harper is a knight" - Lily. "If Lily is a knight then David is a knight," Alexander declared. According to David, "If Alexander is a knight then David is a knight". Oliver said that David is a knave and Jacob is a knave. "Alexander is not a knave," Harper claimed. According to Jacob, "Harper is a knave and Alexander is a knave". So who is a knight and who is a knave?

Scarlett Lily Alexander David Oliver Harper Jacob

Scarlett is a knave, Lily is a knave, Alexander is a knight, David is a knight, Oliver is a knave, Harper is a knight, and Jacob is a knave.

(1) Scarlett is a knave
(2) Lily is a knave
(3) Alexander is a knight
(4) David is a knight
(5) Oliver is a knave
(6) Harper is a knight
(7) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Harper is a knave and Alexander is a knave.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Isabella, Mia, Charlotte, Riley, Benjamin, and Logan. Jack said, "Charlotte is a knight." Isabella stated, "Logan is a knight and Logan is a knave". Mia asserted: "Isabella is a knight". Charlotte remarked, "Isabella is not a knight". "Mia is a knight and Logan is a knight," Riley mentioned. In Benjamin's words: "If Charlotte is a knight then Jack is a knave". Logan said, "Mia is a knave." So who is a knight and who is a knave?

Jack Isabella Mia Charlotte Riley Benjamin Logan

Jack is a knight, Isabella is a knave, Mia is a knave, Charlotte is a knight, Riley is a knave, Benjamin is a knave, and Logan is a knight.

(1) Jack is a knight
(2) Isabella is a knave
(3) Mia is a knave
(4) Charlotte is a knight
(5) Riley is a knave
(6) Benjamin is a knave
(7) Logan is a knight

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

Assume Charlotte 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 their own that Logan is a knight and Logan is a knave.

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

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

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

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

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

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

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

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

(('telling-truth', 3), ('and', ('telling-truth', 6), ('lying', 6)), ('telling-truth', 1), ('not', ('telling-truth', 1)), ('and', ('telling-truth', 2), ('telling-truth', 6)), ('->', ('telling-truth', 3), ('lying', 0)), ('lying', 2))


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, Benjamin, Aria, Harper, Zoey, Matthew, and William. As Jacob put it, "Harper is a knave if and only if Zoey is a knight". Benjamin expressed that If Zoey is a knave then William is a knave. Aria told you that Harper is a knave or Zoey is a knave. Harper asserted: "Benjamin is a knave and Zoey is a knight". Zoey was heard saying, "Matthew is a knight". In Matthew's words: "If William is a knight then Harper is a knight". As William put it, "Aria is a knave and Zoey is a knave". So who is a knight and who is a knave?

Jacob Benjamin Aria Harper Zoey Matthew William

Jacob is a knight, Benjamin is a knight, Aria is a knight, Harper is a knave, Zoey is a knight, Matthew is a knight, and William is a knave.

(1) Jacob is a knight
(2) Benjamin is a knight
(3) Aria is a knight
(4) Harper is a knave
(5) Zoey is a knight
(6) Matthew is a knight
(7) William is a knave

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

Assume Harper is a knight. No contradiction is found in their claim that Benjamin is a knave and Zoey is a knight.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Avery, David, Logan, Victoria, Penelope, and Jack. Jacob told you that Penelope is a knight and Victoria is a knave. Avery stated, "Jacob is not a knight". As David put it, "Victoria is a knight if and only if Jacob is a knave". Logan expressed that Jack is not a knight. Victoria expressed that Logan is a knave and Victoria is a knight. "If Avery is a knave then Jack is a knave," Penelope claimed. Jack expressed that Jacob is a knight and David is a knave. So who is a knight and who is a knave?

Jacob Avery David Logan Victoria Penelope Jack

Jacob is a knight, Avery is a knave, David is a knight, Logan is a knight, Victoria is a knave, Penelope is a knight, and Jack is a knave.

(1) Jacob is a knight
(2) Avery is a knave
(3) David is a knight
(4) Logan is a knight
(5) Victoria is a knave
(6) Penelope is a knight
(7) Jack is a knave

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

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

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

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

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

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

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

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

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

Assume Logan is a knight. No contradiction is found in their claim that Jack 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, Lucas, David, Ethan, Owen, Joseph, and Aurora. Emma said that Owen is a knight or Lucas is a knave. In Lucas's words: "Joseph is not a knave". David stated, "Emma is a knave". Ethan was heard saying, "Emma is a knave if and only if David is a knight". According to Owen, "If Lucas is a knave then Ethan is a knave". "David is not a knight," Joseph mentioned. In Aurora's words: "Lucas is a knave or Ethan is a knave". So who is a knight and who is a knave?

Emma Lucas David Ethan Owen Joseph Aurora

Emma is a knight, Lucas is a knight, David is a knave, Ethan is a knight, Owen is a knight, Joseph is a knight, and Aurora is a knave.

(1) Emma is a knight
(2) Lucas is a knight
(3) David is a knave
(4) Ethan is a knight
(5) Owen is a knight
(6) Joseph is a knight
(7) Aurora is a knave

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

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

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

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

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

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Lucas is a knave or Ethan is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Ella, Luke, Abigail, Isabella, Jackson, and Charlotte. Henry stated, "Luke is not a knave". In Ella's words: "Luke is not a knight". In a statement by Luke: "Henry is a knave if and only if Abigail is a knight". Abigail told you that Henry is a knight or Isabella is a knave. Isabella said, "If Abigail is a knight then Luke is a knight." According to Jackson, "If Abigail is a knave then Henry is a knight". Charlotte said that If Ella is a knave then Luke is a knight. So who is a knight and who is a knave?

Henry Ella Luke Abigail Isabella Jackson Charlotte

Henry is a knave, Ella is a knight, Luke is a knave, Abigail is a knave, Isabella is a knight, Jackson is a knave, and Charlotte is a knight.

(1) Henry is a knave
(2) Ella is a knight
(3) Luke is a knave
(4) Abigail is a knave
(5) Isabella is a knight
(6) Jackson is a knave
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Elizabeth, Riley, Penelope, Sofia, Zoey, and Ava. In Noah's words: "Ava is a knight and Elizabeth is a knight". In a statement by Elizabeth: "Noah is a knight or Ava is a knave". Riley remarked, "Elizabeth is not a knight". "Ava is a knight if and only if Ava is a knave," Penelope mentioned. Sofia said that Ava is a knight if and only if Riley is a knave. Zoey noted, "Noah is a knave if and only if Riley is a knight". Ava told you that Riley is a knave or Zoey is a knave. So who is a knight and who is a knave?

Noah Elizabeth Riley Penelope Sofia Zoey Ava

Noah is a knight, Elizabeth is a knight, Riley is a knave, Penelope is a knave, Sofia is a knight, Zoey is a knight, and Ava is a knight.

(1) Noah is a knight
(2) Elizabeth is a knight
(3) Riley is a knave
(4) Penelope is a knave
(5) Sofia is a knight
(6) Zoey is a knight
(7) Ava is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Scarlett, Ella, Oliver, Ava, Grace, and Jacob. Lily remarked, "Ava is a knave". Scarlett noted, "Oliver is not a knight". As Ella put it, "Jacob is not a knight". "Ella is a knight," Oliver claimed. Ava was heard saying, "Grace is a knave and Oliver is a knight". "Ava is a knave and Scarlett is a knave," Grace claimed. Jacob told you that Grace is not a knave. So who is a knight and who is a knave?

Lily Scarlett Ella Oliver Ava Grace Jacob

Lily is a knave, Scarlett is a knave, Ella is a knight, Oliver is a knight, Ava is a knight, Grace is a knave, and Jacob is a knave.

(1) Lily is a knave
(2) Scarlett is a knave
(3) Ella is a knight
(4) Oliver is a knight
(5) Ava is a knight
(6) Grace is a knave
(7) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace is a knave. No contradiction is found in their false claim that Ava is a knave and Scarlett is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Ethan, Isabella, Penelope, William, Emma, and Benjamin. "Benjamin is a knave or Ethan is a knave," Mia claimed. Ethan commented, "Emma is a knight or Benjamin is a knave". Isabella commented, "If Mia is a knight then Ethan is a knave". Penelope told you that Emma is a knave and Benjamin is a knave. William told you that Benjamin is a knave or Isabella is a knave. Emma expressed that Isabella is a knight or Penelope is a knight. Benjamin said that If Isabella is a knave then William is a knight. So who is a knight and who is a knave?

Mia Ethan Isabella Penelope William Emma Benjamin

Mia is a knave, Ethan is a knight, Isabella is a knight, Penelope is a knave, William is a knave, Emma is a knight, and Benjamin is a knight.

(1) Mia is a knave
(2) Ethan is a knight
(3) Isabella is a knight
(4) Penelope is a knave
(5) William is a knave
(6) Emma is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Penelope cannot be a knave, because this would contradict the false claim of their own that Emma is a knave and Benjamin is a knave.

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Benjamin is a knave or Isabella is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Sofia, David, Charlotte, Logan, Grace, and Olivia. "Charlotte is a knight or David is a knight" - Jacob. Sofia remarked, "Jacob is not a knave". As David put it, "If Jacob is a knight then Olivia is a knave". According to Charlotte, "Grace is not a knave". "David is a knave if and only if Grace is a knave," Logan declared. "Sofia is a knight and Charlotte is a knight" - Grace. Olivia asserted: "Jacob is a knave or Charlotte is a knave". So who is a knight and who is a knave?

Jacob Sofia David Charlotte Logan Grace Olivia

Jacob is a knight, Sofia is a knight, David is a knight, Charlotte is a knight, Logan is a knight, Grace is a knight, and Olivia is a knave.

(1) Jacob is a knight
(2) Sofia is a knight
(3) David is a knight
(4) Charlotte is a knight
(5) Logan is a knight
(6) Grace is a knight
(7) Olivia is a knave

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

Assume Charlotte 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 Sofia is a knight and Charlotte is a knight.

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that Jacob is a knave or Charlotte is a knave.

Assume Logan is a knight. No contradiction is found in their claim that David is a knave if and only if 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: James, Daniel, Luke, Charlotte, Mia, Ella, and Riley. James stated, "Luke is a knave if and only if Luke is a knight". Daniel remarked, "Charlotte is a knave if and only if Daniel is a knight". Luke stated, "Mia is a knave and Mia is a knight". Charlotte was heard saying, "Daniel is a knave if and only if Mia is a knave". Mia said, "If Mia is a knight then Daniel is a knave." "Luke is not a knight," Ella claimed. "James is a knight or James is a knave," Riley declared. So who is a knight and who is a knave?

James Daniel Luke Charlotte Mia Ella Riley

James is a knave, Daniel is a knave, Luke is a knave, Charlotte is a knave, Mia is a knight, Ella is a knight, and Riley is a knight.

(1) James is a knave
(2) Daniel is a knave
(3) Luke is a knave
(4) Charlotte is a knave
(5) Mia is a knight
(6) Ella is a knight
(7) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Sophia, James, Scarlett, Avery, Benjamin, and Samuel. In a statement by Penelope: "James is a knave and Penelope is a knight". Sophia expressed that If Samuel is a knave then James is a knave. James expressed that If Scarlett is a knave then Sophia is a knave. Scarlett noted, "Benjamin is a knight or Avery is a knight". Avery expressed that Benjamin is not a knave. "Penelope is a knight," Benjamin declared. "Penelope is a knight or James is a knight," Samuel mentioned. So who is a knight and who is a knave?

Penelope Sophia James Scarlett Avery Benjamin Samuel

Penelope is a knave, Sophia is a knight, James is a knave, Scarlett is a knave, Avery is a knave, Benjamin is a knave, and Samuel is a knave.

(1) Penelope is a knave
(2) Sophia is a knight
(3) James is a knave
(4) Scarlett is a knave
(5) Avery is a knave
(6) Benjamin is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that Penelope is a knight or 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: Luke, Mia, Abigail, Sebastian, Benjamin, Zoey, and Jack. Luke stated, "Benjamin is a knave". "If Zoey is a knight then Abigail is a knight," Mia claimed. Abigail noted, "Zoey is a knight if and only if Sebastian is a knight". "Luke is a knight" - Sebastian. Benjamin remarked, "Abigail is a knight and Sebastian is a knight". "Zoey is a knight," Zoey declared. In a statement by Jack: "Luke is not a knave". So who is a knight and who is a knave?

Luke Mia Abigail Sebastian Benjamin Zoey Jack

Luke is a knight, Mia is a knight, Abigail is a knave, Sebastian is a knight, Benjamin is a knave, Zoey is a knave, and Jack is a knight.

(1) Luke is a knight
(2) Mia is a knight
(3) Abigail is a knave
(4) Sebastian is a knight
(5) Benjamin is a knave
(6) Zoey is a knave
(7) Jack is a knight

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

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

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

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

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

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

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

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

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

Sebastian cannot be a knight, because this would contradict the claim of Abigail that Zoey is a knight if and only if Sebastian is a knight.

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

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

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

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

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

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

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

(('lying', 4), ('->', ('telling-truth', 5), ('telling-truth', 2)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('telling-truth', 3)), ('telling-truth', 5), ('not', ('lying', 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: Lucas, Jacob, Liam, Scarlett, Samuel, Victoria, and Avery. Lucas said that If Samuel is a knight then Liam is a knave. Jacob was heard saying, "Samuel is not a knave". Liam stated, "Jacob is a knight if and only if Scarlett is a knight". According to Scarlett, "Samuel is not a knave". Samuel stated, "Scarlett is a knight and Scarlett is a knave". According to Victoria, "Liam is a knave or Jacob is a knight". As Avery put it, "Lucas is a knave and Samuel is a knight". So who is a knight and who is a knave?

Lucas Jacob Liam Scarlett Samuel Victoria Avery

Lucas is a knight, Jacob is a knave, Liam is a knight, Scarlett is a knave, Samuel is a knave, Victoria is a knave, and Avery is a knave.

(1) Lucas is a knight
(2) Jacob is a knave
(3) Liam is a knight
(4) Scarlett is a knave
(5) Samuel is a knave
(6) Victoria is a knave
(7) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Elizabeth, Oliver, Aiden, Ava, Emily, and Matthew. David was heard saying, "Matthew is a knight or Aiden is a knave". Elizabeth stated, "Oliver is a knight". As Oliver put it, "David is not a knave". Aiden remarked, "David is a knight or Aiden is a knight". "Emily is a knave if and only if Oliver is a knight," Ava declared. Emily told you that Aiden is a knight if and only if David is a knight. Matthew commented, "David is a knave or Aiden is a knight". So who is a knight and who is a knave?

David Elizabeth Oliver Aiden Ava Emily Matthew

David is a knight, Elizabeth is a knight, Oliver is a knight, Aiden is a knight, Ava is a knave, Emily is a knight, and Matthew is a knight.

(1) David is a knight
(2) Elizabeth is a knight
(3) Oliver is a knight
(4) Aiden is a knight
(5) Ava is a knave
(6) Emily is a knight
(7) Matthew is a knight

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

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

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

Assume Elizabeth 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 David is not a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Daniel, Mason, David, Mia, Elizabeth, and Scarlett. "Elizabeth is a knight and Daniel is a knight," Aria claimed. In a statement by Daniel: "If Elizabeth is a knight then Mia is a knight". Mason was heard saying, "David is a knight or David is a knave". David asserted: "Daniel is a knave and Scarlett is a knave". Mia told you that Elizabeth is a knave and Daniel is a knight. Elizabeth said that If Mason is a knave then David is a knight. "Mia is a knave if and only if Aria is a knight," Scarlett mentioned. So who is a knight and who is a knave?

Aria Daniel Mason David Mia Elizabeth Scarlett

Aria is a knave, Daniel is a knave, Mason is a knight, David is a knight, Mia is a knave, Elizabeth is a knight, and Scarlett is a knave.

(1) Aria is a knave
(2) Daniel is a knave
(3) Mason is a knight
(4) David is a knight
(5) Mia is a knave
(6) Elizabeth is a knight
(7) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Sebastian, Jackson, Penelope, Noah, Isabella, and Zoey. Michael noted, "Isabella is not a knave". Sebastian noted, "Noah is a knave or Isabella is a knave". As Jackson put it, "Noah is a knave and Sebastian is a knight". "Zoey is a knave" - Penelope. "If Sebastian is a knave then Noah is a knight" - Noah. "Michael is a knave if and only if Sebastian is a knight" - Isabella. Zoey said, "Sebastian is a knave or Michael is a knight." So who is a knight and who is a knave?

Michael Sebastian Jackson Penelope Noah Isabella Zoey

Michael is a knight, Sebastian is a knave, Jackson is a knave, Penelope is a knave, Noah is a knight, Isabella is a knight, and Zoey is a knight.

(1) Michael is a knight
(2) Sebastian is a knave
(3) Jackson is a knave
(4) Penelope is a knave
(5) Noah is a knight
(6) Isabella is a knight
(7) Zoey is a knight

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

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

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

Assume Sebastian is a knave. No contradiction is found in their false claim that Noah is a knave or Isabella is a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Evelyn, Charlotte, Ella, Aiden, Aria, and Jackson. Penelope commented, "Penelope is a knight". Evelyn noted, "Penelope is not a knave". In Charlotte's words: "Penelope is a knight or Aiden is a knight". As Ella put it, "Charlotte is a knight or Charlotte is a knave". "Jackson is a knave," Aiden claimed. "Aiden is a knave and Jackson is a knave," Aria claimed. Jackson said that Charlotte is a knight and Ella is a knight. So who is a knight and who is a knave?

Penelope Evelyn Charlotte Ella Aiden Aria Jackson

Penelope is a knight, Evelyn is a knight, Charlotte is a knight, Ella is a knight, Aiden is a knave, Aria is a knave, and Jackson is a knight.

(1) Penelope is a knight
(2) Evelyn is a knight
(3) Charlotte is a knight
(4) Ella is a knight
(5) Aiden is a knave
(6) Aria is a knave
(7) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

Assume Jackson is a knight. No contradiction is found in their claim that Charlotte is a knight and Ella is a knight.

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

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

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

(('telling-truth', 0), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 6), ('and', ('lying', 4), ('lying', 6)), ('and', ('telling-truth', 2), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Aiden, David, Harper, Evelyn, Daniel, and Victoria. "Aiden is a knight and Daniel is a knave," Logan claimed. Aiden was heard saying, "Daniel is a knight if and only if David is a knight". "Victoria is a knight or Aiden is a knave" - David. In Harper's words: "Evelyn is a knave". According to Evelyn, "If Logan is a knight then Aiden is a knight". "David is not a knight," Daniel declared. Victoria said that Evelyn is not a knave. So who is a knight and who is a knave?

Logan Aiden David Harper Evelyn Daniel Victoria

Logan is a knave, Aiden is a knave, David is a knight, Harper is a knave, Evelyn is a knight, Daniel is a knave, and Victoria is a knight.

(1) Logan is a knave
(2) Aiden is a knave
(3) David is a knight
(4) Harper is a knave
(5) Evelyn is a knight
(6) Daniel is a knave
(7) Victoria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Victoria 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 If Logan is a knight then Aiden is a knight.

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

Assume Harper is a knave. No contradiction is found in their false claim that 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: Jack, William, Henry, Mason, Owen, Elizabeth, and Benjamin. "Elizabeth is not a knave" - Jack. William remarked, "If William is a knight then Elizabeth is a knight". Henry expressed that Henry is a knight and Jack is a knave. "Jack is a knight," Mason mentioned. In a statement by Owen: "Owen is a knight and William is a knave". Elizabeth asserted: "If Jack is a knave then Mason is a knave". Benjamin noted, "William is a knave". So who is a knight and who is a knave?

Jack William Henry Mason Owen Elizabeth Benjamin

Jack is a knight, William is a knight, Henry is a knave, Mason is a knight, Owen is a knave, Elizabeth is a knight, and Benjamin is a knave.

(1) Jack is a knight
(2) William is a knight
(3) Henry is a knave
(4) Mason is a knight
(5) Owen is a knave
(6) Elizabeth is a knight
(7) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Henry, Mason, Michael, Olivia, Victoria, and Liam. "Mason is a knight and Liam is a knave," Isabella claimed. Henry said, "If Michael is a knight then Victoria is a knight." In Mason's words: "Michael is a knight if and only if Victoria is a knave". "Victoria is a knight" - Michael. "Henry is not a knave," Olivia claimed. Victoria told you that Henry is a knave and Olivia is a knight. Liam noted, "Michael is a knight or Olivia is a knave". So who is a knight and who is a knave?

Isabella Henry Mason Michael Olivia Victoria Liam

Isabella is a knave, Henry is a knight, Mason is a knave, Michael is a knave, Olivia is a knight, Victoria is a knave, and Liam is a knave.

(1) Isabella is a knave
(2) Henry is a knight
(3) Mason is a knave
(4) Michael is a knave
(5) Olivia is a knight
(6) Victoria is a knave
(7) Liam is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Michael is a knight or 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: Owen, Charlotte, Sebastian, Harper, Michael, Victoria, and Mason. "Charlotte is not a knight" - Owen. Charlotte said that Mason is a knight if and only if Victoria is a knight. Sebastian commented, "Victoria is a knave". "Owen is a knave and Charlotte is a knight," Harper declared. According to Michael, "Victoria is a knight". As Victoria put it, "Michael is a knave and Charlotte is a knight". Mason remarked, "Michael is a knave or Charlotte is a knave". So who is a knight and who is a knave?

Owen Charlotte Sebastian Harper Michael Victoria Mason

Owen is a knight, Charlotte is a knave, Sebastian is a knight, Harper is a knave, Michael is a knave, Victoria is a knave, and Mason is a knight.

(1) Owen is a knight
(2) Charlotte is a knave
(3) Sebastian is a knight
(4) Harper is a knave
(5) Michael is a knave
(6) Victoria is a knave
(7) Mason is a knight

Assume Owen 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 Owen that Charlotte is not a knight.

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knave. No contradiction is found in their false claim that Owen is a knave and Charlotte 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: Emily, Mia, Owen, Ava, Olivia, David, and Zoey. Emily asserted: "Emily is a knight and Ava is a knave". Mia told you that Owen is a knight if and only if Ava is a knave. According to Owen, "Mia is a knave and David is a knight". As Ava put it, "Ava is a knight if and only if Mia is a knight". Olivia asserted: "Owen is a knight". David commented, "David is a knight or Owen is a knave". Zoey commented, "Emily is a knave". So who is a knight and who is a knave?

Emily is a knave, Mia is a knight, Owen is a knave, Ava is a knight, Olivia is a knave, David is a knight, and Zoey is a knight.

(1) Emily is a knave
(2) Mia is a knight
(3) Owen is a knave
(4) Ava is a knight
(5) Olivia is a knave
(6) David is a knight
(7) Zoey is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Alexander, Lily, David, Evelyn, Joseph, and Penelope. "Joseph is a knight or Evelyn is a knave," Mason claimed. "Alexander is a knight if and only if Joseph is a knave," Alexander declared. Lily commented, "Penelope is a knave and Alexander is a knave". "If Penelope is a knave then Alexander is a knight," David mentioned. Evelyn expressed that If Lily is a knight then David is a knave. Joseph noted, "David is a knight if and only if Penelope is a knave". Penelope noted, "Evelyn is a knave". So who is a knight and who is a knave?

Mason Alexander Lily David Evelyn Joseph Penelope

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope 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 Mason that Joseph is a knight or Evelyn is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Alexander is a knight if and only if 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: Jackson, James, Logan, Sofia, David, Joseph, and Ethan. Jackson remarked, "David is a knave or David is a knight". James remarked, "James is a knight or Sofia is a knave". Logan commented, "David is a knave and Sofia is a knight". "Logan is a knave and Ethan is a knave" - Sofia. David said that Joseph is a knave. Joseph told you that James is a knave or Sofia is a knave. Ethan remarked, "Logan is not a knave". So who is a knight and who is a knave?

Jackson James Logan Sofia David Joseph Ethan

Jackson is a knight, James is a knight, Logan is a knave, Sofia is a knight, David is a knight, Joseph is a knave, and Ethan is a knave.

(1) Jackson is a knight
(2) James is a knight
(3) Logan is a knave
(4) Sofia is a knight
(5) David is a knight
(6) Joseph is a knave
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that Logan 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, Ella, Aria, Michael, Grace, Ava, and James. In a statement by William: "Ava is a knight". Ella stated, "James is not a knave". "James is a knave if and only if Grace is a knave," Aria declared. Michael stated, "If William is a knight then Ava is a knave". Grace remarked, "Michael is a knave or Ava is a knave". Ava remarked, "Aria is a knight and Michael is a knight". James was heard saying, "William is a knight". So who is a knight and who is a knave?

William Ella Aria Michael Grace Ava James

William is a knave, Ella is a knave, Aria is a knave, Michael is a knight, Grace is a knight, Ava is a knave, and James is a knave.

(1) William is a knave
(2) Ella is a knave
(3) Aria is a knave
(4) Michael is a knight
(5) Grace is a knight
(6) Ava is a knave
(7) James is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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