A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Noah, Evelyn, Ethan, James, and Michael. Samuel commented, "Ethan is a knave and Noah is a knight". Noah commented, "Noah is a knight if and only if Evelyn is a knight". Evelyn remarked, "Samuel is a knight if and only if Michael is a knave". In a statement by Ethan: "Samuel is a knight or Noah is a knave". "Noah is not a knave," James declared. Michael noted, "Evelyn is a knight or Ethan is a knight". So who is a knight and who is a knave?

Samuel is a knave, Noah is a knave, Evelyn is a knight, Ethan is a knight, James is a knave, and Michael is a knight.

(1) Samuel is a knave
(2) Noah is a knave
(3) Evelyn is a knight
(4) Ethan is a knight
(5) James is a knave
(6) Michael is a knight

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

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

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Evelyn is a knight or Ethan is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Charlotte, Ella, Michael, Oliver, and Zoey. Mia expressed that Michael is a knight. "Mia is not a knight" - Charlotte. Ella expressed that Charlotte is a knight. "Oliver is a knave or Oliver is a knight," Michael claimed. "Mia is a knight if and only if Zoey is a knave," Oliver claimed. As Zoey put it, "Ella is not a knave". So who is a knight and who is a knave?

Mia is a knight, Charlotte is a knave, Ella is a knave, Michael is a knight, Oliver is a knight, and Zoey is a knave.

(1) Mia is a knight
(2) Charlotte is a knave
(3) Ella is a knave
(4) Michael is a knight
(5) Oliver is a knight
(6) Zoey is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Henry, Joseph, Grace, Sebastian, Benjamin, and Aiden. "Benjamin is a knave," Henry claimed. According to Joseph, "Sebastian is a knight and Sebastian is a knave". As Grace put it, "Sebastian is a knight and Aiden is a knave". Sebastian told you that Joseph is not a knight. "Henry is a knave if and only if Benjamin is a knight," Benjamin mentioned. Aiden told you that Henry is a knave if and only if Joseph is a knave. So who is a knight and who is a knave?

Henry Joseph Grace Sebastian Benjamin Aiden

Henry is a knave, Joseph is a knave, Grace is a knave, Sebastian is a knight, Benjamin is a knight, and Aiden is a knight.

(1) Henry is a knave
(2) Joseph is a knave
(3) Grace is a knave
(4) Sebastian is a knight
(5) Benjamin is a knight
(6) Aiden is a knight

Assume Henry 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 Henry that Benjamin is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Michael, Chloe, Daniel, Lucas, and Samuel. Mia said, "Michael is a knight or Chloe is a knave." Michael told you that Chloe is a knight if and only if Samuel is a knight. As Chloe put it, "Lucas is not a knave". Daniel asserted: "If Lucas is a knight then Samuel is a knave". In a statement by Lucas: "Samuel is a knave if and only if Michael is a knave". Samuel remarked, "Daniel is a knight". So who is a knight and who is a knave?

Mia is a knight, Michael is a knave, Chloe is a knave, Daniel is a knight, Lucas is a knave, and Samuel is a knight.

(1) Mia is a knight
(2) Michael is a knave
(3) Chloe is a knave
(4) Daniel is a knight
(5) Lucas is a knave
(6) Samuel is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: William, Benjamin, Harper, Ella, Sebastian, and Luke. "If Sebastian is a knave then Sebastian is a knight," William claimed. "Sebastian is a knave," Benjamin mentioned. Harper noted, "If Luke is a knight then Benjamin is a knight". "Luke is a knight if and only if William is a knight" - Ella. Sebastian expressed that Ella is not a knave. Luke said, "Harper is a knight and Luke is a knight." So who is a knight and who is a knave?

William Benjamin Harper Ella Sebastian Luke

William is a knave, Benjamin is a knight, Harper is a knight, Ella is a knave, Sebastian is a knave, and Luke is a knight.

(1) William is a knave
(2) Benjamin is a knight
(3) Harper is a knight
(4) Ella is a knave
(5) Sebastian is a knave
(6) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Lily, Alexander, Sofia, Ava, and Matthew. "Matthew is a knave," Evelyn mentioned. Lily said, "Ava is a knight if and only if Matthew is a knave." Alexander was heard saying, "Matthew is a knave if and only if Ava is a knight". "Ava is a knight if and only if Matthew is a knave," Sofia claimed. In Ava's words: "Sofia is a knave or Evelyn is a knight". Matthew said, "Alexander is a knight." So who is a knight and who is a knave?

Evelyn is a knave, Lily is a knight, Alexander is a knight, Sofia is a knight, Ava is a knave, and Matthew is a knight.

(1) Evelyn is a knave
(2) Lily is a knight
(3) Alexander is a knight
(4) Sofia is a knight
(5) Ava is a knave
(6) Matthew is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Aurora, Isabella, Amelia, Ava, and Emily. Sophia stated, "Amelia is a knight or Emily is a knight". In Aurora's words: "Sophia is not a knave". "Aurora is a knave or Amelia is a knight," Isabella claimed. Amelia was heard saying, "Ava is a knave". As Ava put it, "Aurora is not a knight". Emily expressed that Sophia is a knave or Aurora is a knave. So who is a knight and who is a knave?

Sophia is a knight, Aurora is a knight, Isabella is a knight, Amelia is a knight, Ava is a knave, and Emily is a knave.

(1) Sophia is a knight
(2) Aurora is a knight
(3) Isabella is a knight
(4) Amelia is a knight
(5) Ava is a knave
(6) Emily is a knave

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

Assume Amelia 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 Amelia that Ava is a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Henry, Michael, Amelia, Evelyn, Jacob, and Sophia. "Evelyn is a knight if and only if Amelia is a knave," Henry declared. Michael said, "Sophia is a knave or Michael is a knight." Amelia was heard saying, "Michael is a knight". "If Sophia is a knave then Amelia is a knave," Evelyn claimed. As Jacob put it, "Amelia is a knave and Henry is a knight". Sophia was heard saying, "Jacob is a knave". So who is a knight and who is a knave?

Henry Michael Amelia Evelyn Jacob Sophia

Henry is a knave, Michael is a knight, Amelia is a knight, Evelyn is a knight, Jacob is a knave, and Sophia is a knight.

(1) Henry is a knave
(2) Michael is a knight
(3) Amelia is a knight
(4) Evelyn is a knight
(5) Jacob is a knave
(6) Sophia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Sophia 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 6 inhabitants: Grace, Lily, Oliver, Emily, Jacob, and Liam. In a statement by Grace: "If Lily is a knave then Oliver is a knight". "If Oliver is a knave then Grace is a knave" - Lily. Oliver expressed that If Liam is a knave then Emily is a knave. Emily asserted: "If Lily is a knave then Jacob is a knave". Jacob expressed that Emily is a knight. Liam noted, "Oliver is a knight or Jacob is a knave". So who is a knight and who is a knave?

Grace is a knight, Lily is a knight, Oliver is a knight, Emily is a knight, Jacob is a knight, and Liam is a knight.

(1) Grace is a knight
(2) Lily is a knight
(3) Oliver is a knight
(4) Emily is a knight
(5) Jacob is a knight
(6) Liam is a knight

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, Ella, Jack, Daniel, Aiden, and Aurora. Grace said that Daniel is not a knight. According to Ella, "Aurora is not a knight". According to Jack, "Ella is a knight or Grace is a knight". "Ella is a knave or Aiden is a knight," Daniel mentioned. Aiden was heard saying, "Grace is a knight if and only if Ella is a knave". Aurora told you that Aiden is a knave or Ella is a knight. So who is a knight and who is a knave?

Grace is a knave, Ella is a knave, Jack is a knave, Daniel is a knight, Aiden is a knave, and Aurora is a knight.

(1) Grace is a knave
(2) Ella is a knave
(3) Jack is a knave
(4) Daniel is a knight
(5) Aiden is a knave
(6) Aurora is a knight

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

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

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

Assume Ella 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 Ella that Aurora is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Aiden, James, William, Scarlett, and Sebastian. "Sebastian is a knight," Ava mentioned. Aiden commented, "James is not a knight". James told you that Sebastian is not a knight. "Sebastian is a knave or Ava is a knight" - William. Scarlett said that James is not a knave. Sebastian told you that If Scarlett is a knight then James is a knight. So who is a knight and who is a knave?

Ava Aiden James William Scarlett Sebastian

Ava is a knight, Aiden is a knight, James is a knave, William is a knight, Scarlett is a knave, and Sebastian is a knight.

(1) Ava is a knight
(2) Aiden is a knight
(3) James is a knave
(4) William is a knight
(5) Scarlett is a knave
(6) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Michael, Amelia, Ava, Mason, and Mia. Ethan expressed that Michael is a knight or Ava is a knave. According to Michael, "Ethan is a knave". "Mia is a knave or Ava is a knight," Amelia mentioned. According to Ava, "Amelia is a knave and Michael is a knight". "Ethan is a knave and Ethan is a knight" - Mason. "Ethan is a knave or Mason is a knave," Mia declared. So who is a knight and who is a knave?

Ethan is a knight, Michael is a knave, Amelia is a knave, Ava is a knave, Mason is a knave, and Mia is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, James, Ava, Lucas, Mia, and Penelope. Sebastian said, "If Sebastian is a knight then Penelope is a knight." In a statement by James: "Lucas is not a knight". Ava told you that If James is a knave then Mia is a knight. Lucas said, "Ava is a knave." Mia stated, "James is not a knave". Penelope noted, "Lucas is a knight and Penelope is a knight". So who is a knight and who is a knave?

Sebastian is a knight, James is a knave, Ava is a knave, Lucas is a knight, Mia is a knave, and Penelope is a knight.

(1) Sebastian is a knight
(2) James is a knave
(3) Ava is a knave
(4) Lucas is a knight
(5) Mia is a knave
(6) Penelope is a knight

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

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

Assume Lucas 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 Lucas that Ava is a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, Abigail, David, Aria, Oliver, and Evelyn. Aurora told you that Abigail is a knight and Evelyn is a knave. Abigail was heard saying, "David is a knight". In David's words: "Abigail is a knave if and only if David is a knight". Aria was heard saying, "Evelyn is a knight or Oliver is a knight". Oliver noted, "Evelyn is not a knave". "If Aria is a knave then Oliver is a knave," Evelyn claimed. So who is a knight and who is a knave?

Aurora is a knave, Abigail is a knave, David is a knave, Aria is a knight, Oliver is a knight, and Evelyn is a knight.

(1) Aurora is a knave
(2) Abigail is a knave
(3) David is a knave
(4) Aria is a knight
(5) Oliver is a knight
(6) Evelyn is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Daniel, Sebastian, Evelyn, Liam, Isabella, and Samuel. Daniel commented, "Samuel is a knight and Liam is a knight". Sebastian asserted: "If Daniel is a knave then Daniel is a knight". Evelyn noted, "Sebastian is a knave if and only if Sebastian is a knight". Liam asserted: "Evelyn is a knave". Isabella stated, "Daniel is not a knave". In a statement by Samuel: "If Liam is a knight then Liam is a knave". So who is a knight and who is a knave?

Daniel Sebastian Evelyn Liam Isabella Samuel

Daniel is a knave, Sebastian is a knave, Evelyn is a knave, Liam is a knight, Isabella is a knave, and Samuel is a knave.

(1) Daniel is a knave
(2) Sebastian is a knave
(3) Evelyn is a knave
(4) Liam is a knight
(5) Isabella is a knave
(6) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Amelia, Emma, Evelyn, Ava, and Mason. Jackson asserted: "Jackson is a knight if and only if Mason is a knave". As Amelia put it, "Emma is a knave and Ava is a knave". In Emma's words: "Evelyn is a knight and Emma is a knight". Evelyn said, "Jackson is a knight if and only if Emma is a knave." As Ava put it, "Mason is a knight or Emma is a knave". Mason expressed that If Emma is a knight then Mason is a knight. So who is a knight and who is a knave?

Jackson is a knave, Amelia is a knave, Emma is a knight, Evelyn is a knight, Ava is a knave, and Mason is a knave.

(1) Jackson is a knave
(2) Amelia is a knave
(3) Emma is a knight
(4) Evelyn is a knight
(5) Ava is a knave
(6) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Sofia, Owen, Jackson, James, and Henry. "If Henry is a knave then Jackson is a knight," Evelyn declared. "Owen is a knight or Henry is a knave," Sofia declared. Owen commented, "Henry is a knave". As Jackson put it, "James is a knight if and only if Sofia is a knight". James was heard saying, "Sofia is a knave if and only if Evelyn is a knight". "If Sofia is a knight then Henry is a knight," Henry claimed. So who is a knight and who is a knave?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Benjamin, Owen, Michael, Liam, and Charlotte. In Oliver's words: "If Owen is a knight then Benjamin is a knave". "Michael is not a knight" - Benjamin. "Charlotte is a knight and Benjamin is a knight," Owen declared. Michael stated, "Liam is a knave if and only if Owen is a knave". According to Liam, "Charlotte is a knave and Benjamin is a knave". "Owen is a knave," Charlotte declared. So who is a knight and who is a knave?

Oliver Benjamin Owen Michael Liam Charlotte

Oliver is a knight, Benjamin is a knave, Owen is a knave, Michael is a knight, Liam is a knave, and Charlotte is a knight.

(1) Oliver is a knight
(2) Benjamin is a knave
(3) Owen is a knave
(4) Michael is a knight
(5) Liam is a knave
(6) Charlotte is a knight

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

Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knight and Benjamin is a knight.

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

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

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

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Charlotte is a knave and 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 6 inhabitants: David, Aria, Olivia, Liam, Evelyn, and Samuel. "If Liam is a knave then Aria is a knave," David declared. Aria stated, "Samuel is a knave or Liam is a knight". According to Olivia, "Liam is a knight if and only if Evelyn is a knight". Liam said that Evelyn is a knave or Aria is a knave. Evelyn said that Olivia is a knave if and only if Evelyn is a knight. Samuel stated, "Evelyn is not a knave". So who is a knight and who is a knave?

David is a knight, Aria is a knight, Olivia is a knave, Liam is a knight, Evelyn is a knave, and Samuel is a knave.

(1) David is a knight
(2) Aria is a knight
(3) Olivia is a knave
(4) Liam is a knight
(5) Evelyn is a knave
(6) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Owen, Evelyn, Lucas, Jacob, and Logan. "Jacob is a knight and Owen is a knight," David mentioned. In a statement by Owen: "Logan is not a knight". In a statement by Evelyn: "Owen is a knight and Evelyn is a knight". "Logan is a knight if and only if Owen is a knight," Lucas mentioned. Jacob asserted: "Logan is a knight". "If Owen is a knight then Lucas is a knave," Logan claimed. So who is a knight and who is a knave?

David is a knave, Owen is a knave, Evelyn is a knave, Lucas is a knave, Jacob is a knight, and Logan is a knight.

(1) David is a knave
(2) Owen is a knave
(3) Evelyn is a knave
(4) Lucas is a knave
(5) Jacob is a knight
(6) Logan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, Elizabeth, Michael, Henry, Lucas, and Ella. According to Aurora, "If Lucas is a knave then Ella is a knight". Elizabeth asserted: "Aurora is a knight or Aurora is a knave". Michael said, "Henry is a knight if and only if Henry is a knave." "Elizabeth is a knight if and only if Lucas is a knave" - Henry. Lucas asserted: "Ella is a knight if and only if Henry is a knight". "Henry is not a knight," Ella mentioned. So who is a knight and who is a knave?

Aurora Elizabeth Michael Henry Lucas Ella

Aurora is a knave, Elizabeth is a knight, Michael is a knave, Henry is a knight, Lucas is a knave, and Ella is a knave.

(1) Aurora is a knave
(2) Elizabeth is a knight
(3) Michael is a knave
(4) Henry is a knight
(5) Lucas is a knave
(6) Ella is a knave

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

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

Assume Ella 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 Ella that Henry is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, Oliver, Sophia, Matthew, Scarlett, and Jack. Ava told you that If Sophia is a knight then Matthew is a knave. "If Matthew is a knight then Jack is a knave," Oliver declared. "Jack is a knave," Sophia claimed. Matthew noted, "Jack is a knave". Scarlett stated, "Matthew is a knight if and only if Jack is a knight". Jack expressed that Scarlett is a knight. So who is a knight and who is a knave?

Ava is a knave, Oliver is a knight, Sophia is a knight, Matthew is a knight, Scarlett is a knave, and Jack is a knave.

(1) Ava is a knave
(2) Oliver is a knight
(3) Sophia is a knight
(4) Matthew is a knight
(5) Scarlett is a knave
(6) Jack is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Victoria, Chloe, Olivia, Michael, and Lucas. "Chloe is a knight and Olivia is a knave," Samuel mentioned. Victoria expressed that If Samuel is a knight then Chloe is a knave. "Chloe is a knight and Michael is a knave," Chloe claimed. Olivia commented, "Samuel is not a knave". Michael remarked, "Olivia is a knave if and only if Victoria is a knight". Lucas said that Victoria is a knight and Chloe is a knight. So who is a knight and who is a knave?

Samuel Victoria Chloe Olivia Michael Lucas

Samuel is a knave, Victoria is a knight, Chloe is a knave, Olivia is a knave, Michael is a knight, and Lucas is a knave.

(1) Samuel is a knave
(2) Victoria is a knight
(3) Chloe is a knave
(4) Olivia is a knave
(5) Michael is a knight
(6) Lucas is a knave

Assume Samuel is a knight. No contradiction is found in their claim that Chloe is a knight and Olivia is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Mason, Samuel, Aiden, Benjamin, and Lucas. Oliver was heard saying, "Lucas is a knight if and only if Benjamin is a knave". Mason said that Aiden is not a knave. Samuel expressed that Mason is a knave if and only if Oliver is a knave. Aiden said, "Samuel is a knight if and only if Benjamin is a knave." Benjamin expressed that Oliver is a knight if and only if Aiden is a knave. According to Lucas, "Samuel is a knight". So who is a knight and who is a knave?

Oliver Mason Samuel Aiden Benjamin Lucas

Oliver is a knight, Mason is a knight, Samuel is a knight, Aiden is a knight, Benjamin is a knave, and Lucas is a knight.

(1) Oliver is a knight
(2) Mason is a knight
(3) Samuel is a knight
(4) Aiden is a knight
(5) Benjamin is a knave
(6) Lucas is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Isabella, Alexander, Jacob, Luke, and Henry. In a statement by Michael: "Jacob is a knight or Henry is a knave". "Michael is a knight if and only if Henry is a knave," Isabella mentioned. Alexander said, "Henry is a knight or Jacob is a knight." In a statement by Jacob: "If Henry is a knight then Alexander is a knight". As Luke put it, "If Jacob is a knight then Alexander is a knave". Henry asserted: "Alexander is not a knight". So who is a knight and who is a knave?

Michael Isabella Alexander Jacob Luke Henry

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Aurora, Lucas, Chloe, Victoria, and Aria. Mason said that Mason is a knight or Victoria is a knave. "Mason is a knave if and only if Aria is a knave," Aurora declared. "If Mason is a knight then Chloe is a knave" - Lucas. According to Chloe, "If Chloe is a knight then Lucas is a knight". "Aurora is a knave if and only if Mason is a knave," Victoria mentioned. Aria said, "If Victoria is a knave then Mason is a knave." So who is a knight and who is a knave?

Mason is a knave, Aurora is a knave, Lucas is a knight, Chloe is a knight, Victoria is a knight, and Aria is a knight.

(1) Mason is a knave
(2) Aurora is a knave
(3) Lucas is a knight
(4) Chloe is a knight
(5) Victoria is a knight
(6) Aria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Chloe, Lucas, Aria, Aurora, and Victoria, so let us go back and reconsider Mason.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ella, Chloe, Lucas, Zoey, James, and Joseph. Ella expressed that Zoey is a knave or Zoey is a knight. Chloe told you that If James is a knight then Zoey is a knave. Lucas was heard saying, "James is a knight and Zoey is a knight". Zoey expressed that Lucas is a knave and James is a knight. According to James, "Joseph is a knight if and only if Zoey is a knave". According to Joseph, "Zoey is a knight and Joseph is a knight". So who is a knight and who is a knave?

Ella is a knight, Chloe is a knight, Lucas is a knave, Zoey is a knave, James is a knave, and Joseph is a knave.

(1) Ella is a knight
(2) Chloe is a knight
(3) Lucas is a knave
(4) Zoey is a knave
(5) James is a knave
(6) Joseph is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that If James is a knight then 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 6 inhabitants: Jackson, Lily, Riley, Aria, Daniel, and William. Jackson commented, "Daniel is a knave". In Lily's words: "Jackson is a knight". Riley said that Aria is a knight and Jackson is a knight. Aria said that Daniel is a knight or Riley is a knight. "Aria is not a knight," Daniel declared. "Aria is a knight and Daniel is a knight," William mentioned. So who is a knight and who is a knave?

Jackson is a knight, Lily is a knight, Riley is a knight, Aria is a knight, Daniel is a knave, and William is a knave.

(1) Jackson is a knight
(2) Lily is a knight
(3) Riley is a knight
(4) Aria is a knight
(5) Daniel is a knave
(6) William is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Zoey, Oliver, Luke, Olivia, Scarlett, and Avery. "Oliver is a knight and Olivia is a knight" - Zoey. Oliver said, "Olivia is a knave." As Luke put it, "Zoey is not a knave". "Avery is a knight or Oliver is a knight," Olivia claimed. Scarlett noted, "Zoey is a knight and Oliver is a knave". Avery asserted: "Luke is not a knight". So who is a knight and who is a knave?

Zoey is a knave, Oliver is a knave, Luke is a knave, Olivia is a knight, Scarlett is a knave, and Avery is a knight.

(1) Zoey is a knave
(2) Oliver is a knave
(3) Luke is a knave
(4) Olivia is a knight
(5) Scarlett is a knave
(6) Avery is a knight

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

Assume Oliver 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 Oliver that Olivia is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 1), ('telling-truth', 3)), ('lying', 3), ('not', ('lying', 0)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 1)), ('not', ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Daniel, Ethan, Logan, Owen, Matthew, and Sophia. Daniel commented, "Logan is a knave or Ethan is a knave". "Logan is not a knave," Ethan declared. Logan remarked, "Logan is a knight if and only if Ethan is a knight". Owen stated, "Ethan is a knight". Matthew asserted: "Logan is not a knave". "Owen is a knave and Sophia is a knight," Sophia declared. So who is a knight and who is a knave?

Daniel is a knave, Ethan is a knight, Logan is a knight, Owen is a knight, Matthew is a knight, and Sophia is a knave.

(1) Daniel is a knave
(2) Ethan is a knight
(3) Logan is a knight
(4) Owen is a knight
(5) Matthew is a knight
(6) Sophia is a knave

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

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

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

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

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Logan is a knave or Ethan is a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Riley, Grace, Amelia, Oliver, Scarlett, and Jacob. Riley noted, "Amelia is a knight and Riley is a knight". "If Oliver is a knight then Amelia is a knave," Grace declared. "Jacob is a knight," Amelia declared. "If Amelia is a knave then Grace is a knave," Oliver claimed. Scarlett told you that Riley is not a knave. "Scarlett is a knight or Grace is a knight" - Jacob. So who is a knight and who is a knave?

Riley Grace Amelia Oliver Scarlett Jacob

Riley is a knight, Grace is a knave, Amelia is a knight, Oliver is a knight, Scarlett is a knight, and Jacob is a knight.

(1) Riley is a knight
(2) Grace is a knave
(3) Amelia is a knight
(4) Oliver is a knight
(5) Scarlett is a knight
(6) Jacob is a knight

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

Assume Amelia 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 Scarlett is a knight or Grace is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Alexander, Harper, Samuel, Jacob, Zoey, and Aurora. "Aurora is a knight and Samuel is a knight" - Alexander. As Harper put it, "Zoey is a knave if and only if Samuel is a knight". "Jacob is a knight or Zoey is a knight," Samuel claimed. "If Aurora is a knight then Jacob is a knight," Jacob declared. Zoey commented, "Samuel is not a knave". "Alexander is a knight if and only if Jacob is a knave" - Aurora. So who is a knight and who is a knave?

Alexander Harper Samuel Jacob Zoey Aurora

Alexander is a knight, Harper is a knave, Samuel is a knight, Jacob is a knave, Zoey is a knight, and Aurora is a knight.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Abigail, Luke, William, Alexander, and Aria. As Michael put it, "Abigail is not a knight". In a statement by Abigail: "If Aria is a knight then Luke is a knight". As Luke put it, "Abigail is a knave or Michael is a knight". William expressed that Luke is not a knight. Alexander told you that If William is a knave then William is a knight. "Luke is a knight if and only if Alexander is a knight" - Aria. So who is a knight and who is a knave?

Michael Abigail Luke William Alexander Aria

Michael is a knave, Abigail is a knight, Luke is a knave, William is a knight, Alexander is a knight, and Aria is a knave.

(1) Michael is a knave
(2) Abigail is a knight
(3) Luke is a knave
(4) William is a knight
(5) Alexander is a knight
(6) Aria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, Liam, Ella, Avery, Daniel, and Scarlett. Joseph told you that Daniel is a knight and Scarlett is a knave. "Avery is a knave and Ella is a knave," Liam mentioned. In Ella's words: "Joseph is a knave if and only if Avery is a knave". "Joseph is a knave if and only if Avery is a knight," Avery claimed. In a statement by Daniel: "Avery is a knave". As Scarlett put it, "Ella is a knave if and only if Liam is a knave". So who is a knight and who is a knave?

Joseph is a knave, Liam is a knave, Ella is a knave, Avery is a knight, Daniel is a knave, and Scarlett is a knight.

(1) Joseph is a knave
(2) Liam is a knave
(3) Ella is a knave
(4) Avery is a knight
(5) Daniel is a knave
(6) Scarlett is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Liam, Alexander, Jacob, James, Benjamin, and Lucas. Liam said that James is a knave if and only if Alexander is a knight. "Jacob is not a knave," Alexander declared. Jacob stated, "Alexander is a knight or Lucas is a knight". "Alexander is a knight and Alexander is a knave," James declared. Benjamin said, "Liam is a knight and James is a knave." Lucas said, "If Benjamin is a knight then Alexander is a knave." So who is a knight and who is a knave?

Liam Alexander Jacob James Benjamin Lucas

Liam is a knight, Alexander is a knight, Jacob is a knight, James is a knave, Benjamin is a knight, and Lucas is a knave.

(1) Liam is a knight
(2) Alexander is a knight
(3) Jacob is a knight
(4) James is a knave
(5) Benjamin is a knight
(6) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, James, Victoria, Lucas, Emily, and Sofia. As Joseph put it, "Lucas is a knave if and only if Lucas is a knight". James said that Joseph is a knave. Victoria noted, "James is a knave if and only if Lucas is a knight". Lucas told you that Emily is a knave if and only if Joseph is a knight. "Joseph is not a knave" - Emily. According to Sofia, "Lucas is not a knave". So who is a knight and who is a knave?

Joseph is a knave, James is a knight, Victoria is a knight, Lucas is a knave, Emily is a knave, and Sofia is a knave.

(1) Joseph is a knave
(2) James is a knight
(3) Victoria is a knight
(4) Lucas is a knave
(5) Emily is a knave
(6) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Chloe, Aria, Victoria, Amelia, Mia, and Joseph. Chloe told you that Aria is a knight or Aria is a knave. Aria told you that Chloe is a knave or Joseph is a knave. Victoria said, "Mia is a knight if and only if Joseph is a knight." As Amelia put it, "Aria is not a knave". "Joseph is not a knave," Mia claimed. "Amelia is a knave if and only if Joseph is a knight," Joseph mentioned. So who is a knight and who is a knave?

Chloe is a knight, Aria is a knave, Victoria is a knight, Amelia is a knave, Mia is a knight, and Joseph is a knight.

(1) Chloe is a knight
(2) Aria is a knave
(3) Victoria is a knight
(4) Amelia is a knave
(5) Mia is a knight
(6) Joseph is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Harper, Alexander, Michael, Ava, and David. "David is a knave if and only if Alexander is a knave," Oliver claimed. Harper was heard saying, "Ava is not a knight". "David is a knave," Alexander declared. "Harper is a knave," Michael claimed. "Alexander is a knight if and only if David is a knave" - Ava. David told you that If Harper is a knight then Michael is a knave. So who is a knight and who is a knave?

Oliver Harper Alexander Michael Ava David

Oliver is a knave, Harper is a knave, Alexander is a knave, Michael is a knight, Ava is a knight, and David is a knight.

(1) Oliver is a knave
(2) Harper is a knave
(3) Alexander is a knave
(4) Michael is a knight
(5) Ava is a knight
(6) David is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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