A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Isabella, Aiden, Alexander, William, and Joseph. In Scarlett's words: "Alexander is a knight if and only if William is a knave". "William is a knave if and only if William is a knight" - Isabella. "Isabella is a knight," Aiden claimed. In a statement by Alexander: "Scarlett is a knave or William is a knave". William noted, "Aiden is not a knave". "Aiden is not a knight" - Joseph. So who is a knight and who is a knave?

Scarlett Isabella Aiden Alexander William Joseph

Scarlett is a knight, Isabella is a knave, Aiden is a knave, Alexander is a knight, William is a knave, and Joseph is a knight.

(1) Scarlett is a knight
(2) Isabella is a knave
(3) Aiden is a knave
(4) Alexander is a knight
(5) William is a knave
(6) Joseph is a knight

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

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

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

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

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

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

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

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

Assume Joseph is a knight. No contradiction is found in their claim that Aiden 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: Daniel, Lily, Sophia, Luke, Noah, and Avery. In a statement by Daniel: "Luke is a knight or Noah is a knave". "Daniel is a knave or Sophia is a knave," Lily declared. Sophia said that Noah is a knight or Luke is a knight. Luke noted, "Avery is a knight and Noah is a knave". In Noah's words: "Luke is a knight". As Avery put it, "Daniel is a knave or Sophia is a knight". So who is a knight and who is a knave?

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Luke is a knight or Noah is a knave.

Assume Luke is a knight. No contradiction is found in their claim that Avery is a knight and Noah is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Victoria, Harper, Alexander, James, Lily, and Oliver. Victoria stated, "Alexander is a knave or James is a knight". According to Harper, "Lily is a knave". Alexander said, "Oliver is a knave." James stated, "James is a knight and Oliver is a knight". "Oliver is a knight and Victoria is a knave" - Lily. Oliver expressed that Alexander is a knight or James is a knight. So who is a knight and who is a knave?

Victoria Harper Alexander James Lily Oliver

Victoria is a knight, Harper is a knight, Alexander is a knave, James is a knight, Lily is a knave, and Oliver is a knight.

(1) Victoria is a knight
(2) Harper is a knight
(3) Alexander is a knave
(4) James is a knight
(5) Lily is a knave
(6) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

(('or', ('lying', 2), ('telling-truth', 3)), ('lying', 4), ('lying', 5), ('and', ('telling-truth', 3), ('telling-truth', 5)), ('and', ('telling-truth', 5), ('lying', 0)), ('or', ('telling-truth', 2), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Liam, Ella, Sofia, Owen, Michael, and Mason. In Liam's words: "Sofia is a knave or Liam is a knight". In Ella's words: "Sofia is a knight". According to Sofia, "Liam is not a knave". Owen asserted: "Michael is not a knight". "Liam is not a knave" - Michael. Mason said that Michael is a knave or Michael is a knight. So who is a knight and who is a knave?

Liam is a knight, Ella is a knight, Sofia is a knight, Owen is a knave, Michael is a knight, and Mason is a knight.

(1) Liam is a knight
(2) Ella is a knight
(3) Sofia is a knight
(4) Owen is a knave
(5) Michael is a knight
(6) Mason is a knight

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

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

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

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

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

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

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

Assume Owen 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 not a knave.

Assume Mason is a knight. No contradiction is found in their claim that Michael 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: Oliver, Henry, Olivia, Owen, Sebastian, and Amelia. In a statement by Oliver: "Olivia is not a knave". Henry expressed that Olivia is a knave. "Amelia is a knave and Oliver is a knave," Olivia mentioned. Owen told you that Amelia is not a knight. Sebastian stated, "Owen is a knight if and only if Olivia is a knight". Amelia asserted: "Amelia is a knight if and only if Sebastian is a knight". So who is a knight and who is a knave?

Oliver Henry Olivia Owen Sebastian Amelia

Oliver is a knave, Henry is a knight, Olivia is a knave, Owen is a knave, Sebastian is a knight, and Amelia is a knight.

(1) Oliver is a knave
(2) Henry is a knight
(3) Olivia is a knave
(4) Owen is a knave
(5) Sebastian is a knight
(6) Amelia is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Chloe, Michael, David, Evelyn, and Sofia. Abigail remarked, "David is not a knave". In Chloe's words: "Abigail is a knight if and only if Sofia is a knight". Michael commented, "Sofia is a knight or Chloe is a knave". "Chloe is not a knave," David claimed. Evelyn said, "David is a knave if and only if Sofia is a knave." In a statement by Sofia: "David is a knave". So who is a knight and who is a knave?

Abigail Chloe Michael David Evelyn Sofia

Abigail is a knave, Chloe is a knave, Michael is a knight, David is a knave, Evelyn is a knave, and Sofia is a knight.

(1) Abigail is a knave
(2) Chloe is a knave
(3) Michael is a knight
(4) David is a knave
(5) Evelyn is a knave
(6) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Emily, Alexander, Benjamin, Aria, and Evelyn. In a statement by Luke: "Benjamin is a knight". Emily was heard saying, "Evelyn is a knight or Alexander is a knave". "If Luke is a knight then Luke is a knave" - Alexander. According to Benjamin, "If Luke is a knight then Emily is a knight". Aria said that Luke is not a knave. As Evelyn put it, "Emily is not a knight". So who is a knight and who is a knave?

Luke Emily Alexander Benjamin Aria Evelyn

Luke is a knight, Emily is a knight, Alexander is a knave, Benjamin is a knight, Aria is a knight, and Evelyn is a knave.

(1) Luke is a knight
(2) Emily is a knight
(3) Alexander is a knave
(4) Benjamin is a knight
(5) Aria is a knight
(6) Evelyn is a knave

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

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

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

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

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

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

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

Assume Aria is a knight. No contradiction is found in their claim that Luke 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: Ethan, Ella, Chloe, Aria, Owen, and Charlotte. Ethan remarked, "Aria is a knight or Ethan is a knight". Ella was heard saying, "Charlotte is not a knave". Chloe remarked, "Ethan is a knight or Aria is a knight". In Aria's words: "Chloe is a knave and Ella is a knave". In a statement by Owen: "Chloe is not a knight". As Charlotte put it, "Chloe is not a knave". So who is a knight and who is a knave?

Ethan is a knight, Ella is a knight, Chloe is a knight, Aria is a knave, Owen is a knave, and Charlotte is a knight.

(1) Ethan is a knight
(2) Ella is a knight
(3) Chloe is a knight
(4) Aria is a knave
(5) Owen is a knave
(6) Charlotte is a knight

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

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

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

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

We have exhausted all possibilities for Chloe, 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 and Ella is a knave.

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

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

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

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

Assume Owen is a knave. No contradiction is found in their false claim that Chloe 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: Aurora, William, Liam, Logan, Luke, and Penelope. "Liam is not a knave," Aurora claimed. William told you that Logan is a knave or Luke is a knight. Liam remarked, "Luke is a knave or Aurora is a knave". Logan asserted: "Aurora is a knight or Liam is a knight". Luke commented, "Luke is a knight if and only if Liam is a knight". In a statement by Penelope: "Liam is not a knight". So who is a knight and who is a knave?

Aurora is a knight, William is a knave, Liam is a knight, Logan is a knight, Luke is a knave, and Penelope is a knave.

(1) Aurora is a knight
(2) William is a knave
(3) Liam is a knight
(4) Logan is a knight
(5) Luke is a knave
(6) Penelope is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Liam 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: Grace, Charlotte, Jack, Sebastian, Abigail, and Mia. In a statement by Grace: "If Jack is a knave then Abigail is a knave". "Sebastian is not a knave," Charlotte mentioned. Jack noted, "Mia is a knight". Sebastian said that Abigail is a knight if and only if Grace is a knight. Abigail commented, "Charlotte is a knave or Charlotte is a knight". According to Mia, "Abigail is a knight or Grace is a knight". So who is a knight and who is a knave?

Grace Charlotte Jack Sebastian Abigail Mia

Grace is a knight, Charlotte is a knight, Jack is a knight, Sebastian is a knight, Abigail is a knight, and Mia is a knight.

(1) Grace is a knight
(2) Charlotte is a knight
(3) Jack is a knight
(4) Sebastian is a knight
(5) Abigail is a knight
(6) Mia is a knight

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

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

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

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

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

Assume Sebastian is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Grace 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: Aiden, Benjamin, Lucas, Joseph, Aria, and James. Aiden remarked, "James is a knight or Benjamin is a knight". Benjamin stated, "Aiden is a knave". Lucas noted, "James is a knight or James is a knave". "Benjamin is not a knave" - Joseph. Aria was heard saying, "If Lucas is a knight then Joseph is a knave". James stated, "Joseph is a knave if and only if Aiden is a knight". So who is a knight and who is a knave?

Aiden is a knight, Benjamin is a knave, Lucas is a knight, Joseph is a knave, Aria is a knight, and James is a knight.

(1) Aiden is a knight
(2) Benjamin is a knave
(3) Lucas is a knight
(4) Joseph is a knave
(5) Aria is a knight
(6) James is a knight

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

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

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

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

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

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

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

Assume Aria is a knight. No contradiction is found in their claim that If Lucas is a knight then 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: Ava, Emily, Luke, Lucas, Harper, and Ella. In Ava's words: "Luke is a knight if and only if Ella is a knave". Emily stated, "If Emily is a knight then Luke is a knave". Luke asserted: "Ella is a knight and Ella is a knave". "Harper is a knave and Luke is a knave," Lucas claimed. As Harper put it, "Lucas is a knave if and only if Ava is a knight". Ella was heard saying, "If Emily is a knight then Harper is a knight". So who is a knight and who is a knave?

Ava is a knight, Emily is a knight, Luke is a knave, Lucas is a knave, Harper is a knight, and Ella is a knight.

(1) Ava is a knight
(2) Emily is a knight
(3) Luke is a knave
(4) Lucas is a knave
(5) Harper is a knight
(6) Ella is a knight

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

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

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

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

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

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

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

Assume Lucas is a knave. No contradiction is found in their false claim that Harper is a knave and Luke 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: Abigail, Lily, Ella, Emily, Sofia, and Logan. Abigail noted, "Sofia is not a knave". Lily expressed that Ella is a knight or Logan is a knight. "Sofia is a knave and Sofia is a knight," Ella claimed. In Emily's words: "Abigail is a knight". As Sofia put it, "If Sofia is a knight then Lily is a knight". As Logan put it, "Sofia is not a knave". So who is a knight and who is a knave?

Abigail is a knight, Lily is a knight, Ella is a knave, Emily is a knight, Sofia is a knight, and Logan is a knight.

(1) Abigail is a knight
(2) Lily is a knight
(3) Ella is a knave
(4) Emily is a knight
(5) Sofia is a knight
(6) Logan is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emma, Avery, William, Matthew, Scarlett, and Ethan. Emma commented, "Emma is a knight or William is a knight". As Avery put it, "Emma is a knave and William is a knave". William said, "Ethan is a knave." "Avery is a knave or William is a knave," Matthew claimed. In Scarlett's words: "Matthew is a knave and Ethan is a knight". Ethan said, "Emma is a knight." So who is a knight and who is a knave?

Emma Avery William Matthew Scarlett Ethan

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Matthew 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: Jackson, Abigail, Ella, Noah, Avery, and Matthew. Jackson remarked, "Abigail is a knave and Abigail is a knight". Abigail noted, "Avery is a knave and Avery is a knight". "Matthew is a knave or Matthew is a knight," Ella declared. "If Avery is a knight then Ella is a knight" - Noah. Avery remarked, "Matthew is a knight". "If Jackson is a knight then Ella is a knight," Matthew claimed. So who is a knight and who is a knave?

Jackson is a knave, Abigail is a knave, Ella is a knight, Noah is a knight, Avery is a knight, and Matthew is a knight.

(1) Jackson is a knave
(2) Abigail is a knave
(3) Ella is a knight
(4) Noah is a knight
(5) Avery is a knight
(6) Matthew is a knight

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

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

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

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

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

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

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

Assume Noah is a knight. No contradiction is found in their claim that If Avery is a knight then Ella is a knight.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Luke, Penelope, Mia, Riley, and Noah. In Scarlett's words: "Luke is a knight if and only if Scarlett is a knight". As Luke put it, "Scarlett is a knight". In Penelope's words: "Riley is a knave or Luke is a knave". Mia stated, "Noah is a knight or Luke is a knave". Riley noted, "Mia is a knight if and only if Luke is a knave". Noah expressed that Mia is a knight if and only if Riley is a knight. So who is a knight and who is a knave?

Scarlett is a knight, Luke is a knight, Penelope is a knave, Mia is a knave, Riley is a knight, and Noah is a knave.

(1) Scarlett is a knight
(2) Luke is a knight
(3) Penelope is a knave
(4) Mia is a knave
(5) Riley is a knight
(6) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Riley is a knave or Luke is a knave.

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Riley 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: Harper, Mason, David, Owen, Chloe, and Zoey. Harper noted, "Zoey is not a knave". Mason said that Owen is a knave or Zoey is a knight. David remarked, "If Chloe is a knight then Harper is a knight". Owen noted, "Harper is a knight and Chloe is a knight". As Chloe put it, "Mason is a knight and Harper is a knave". Zoey was heard saying, "Zoey is a knight and Chloe is a knight". So who is a knight and who is a knave?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Alexander, Aurora, Owen, Mason, and Logan. Evelyn asserted: "Mason is a knight and Logan is a knave". Alexander asserted: "Logan is a knave and Evelyn is a knight". Aurora told you that If Alexander is a knight then Logan is a knight. "Logan is a knave and Aurora is a knave," Owen claimed. "Alexander is a knave if and only if Owen is a knight," Mason mentioned. Logan asserted: "Aurora is not a knight". So who is a knight and who is a knave?

Evelyn Alexander Aurora Owen Mason Logan

Evelyn is a knave, Alexander is a knave, Aurora is a knight, Owen is a knave, Mason is a knave, and Logan is a knave.

(1) Evelyn is a knave
(2) Alexander is a knave
(3) Aurora is a knight
(4) Owen is a knave
(5) Mason is a knave
(6) Logan is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Logan 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 Logan that Aurora is not a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Aria, Evelyn, Ethan, Sophia, and Aurora. "Aurora is a knight or Evelyn is a knave" - Michael. In a statement by Aria: "Sophia is a knight and Ethan is a knight". Evelyn was heard saying, "Michael is a knight". "Sophia is a knight and Aria is a knight" - Ethan. Sophia told you that If Michael is a knight then Aurora is a knave. Aurora asserted: "Sophia is a knave or Michael is a knight". So who is a knight and who is a knave?

Michael is a knight, Aria is a knave, Evelyn is a knight, Ethan is a knave, Sophia is a knave, and Aurora is a knight.

(1) Michael is a knight
(2) Aria is a knave
(3) Evelyn is a knight
(4) Ethan is a knave
(5) Sophia is a knave
(6) Aurora is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Penelope, James, Noah, Samuel, Chloe, and Abigail. Penelope remarked, "Noah is not a knight". "Samuel is a knave or Samuel is a knight," James declared. Noah said, "Chloe is not a knight." Samuel remarked, "Noah is a knave if and only if Penelope is a knight". Chloe said, "Penelope is a knight or Penelope is a knave." "Noah is a knight if and only if James is a knave," Abigail declared. So who is a knight and who is a knave?

Penelope James Noah Samuel Chloe Abigail

Penelope is a knight, James is a knight, Noah is a knave, Samuel is a knight, Chloe is a knight, and Abigail is a knight.

(1) Penelope is a knight
(2) James is a knight
(3) Noah is a knave
(4) Samuel is a knight
(5) Chloe is a knight
(6) Abigail is a knight

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

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

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

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

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

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

Assume Abigail is a knight. No contradiction is found in their claim that Noah is a knight if and only if 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: Samuel, Oliver, Sofia, Joseph, Olivia, and Mia. Samuel commented, "Joseph is a knight and Oliver is a knave". According to Oliver, "If Joseph is a knave then Oliver is a knight". Sofia expressed that Olivia is a knight if and only if Joseph is a knave. "Mia is a knight," Joseph claimed. Olivia told you that Joseph is a knight and Samuel is a knight. In Mia's words: "Olivia is a knave". So who is a knight and who is a knave?

Samuel is a knave, Oliver is a knight, Sofia is a knight, Joseph is a knight, Olivia is a knave, and Mia is a knight.

(1) Samuel is a knave
(2) Oliver is a knight
(3) Sofia is a knight
(4) Joseph is a knight
(5) Olivia is a knave
(6) Mia is a knight

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

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

Assume Mia 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 Mia that Olivia is a knave.

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ava, David, Sophia, Aurora, Amelia, and Scarlett. "David is a knave or Scarlett is a knight," Ava mentioned. David expressed that If David is a knight then Amelia is a knight. Sophia was heard saying, "Scarlett is not a knave". Aurora stated, "Ava is a knave and Scarlett is a knave". "Sophia is a knight," Amelia claimed. Scarlett noted, "If Sophia is a knave then Ava is a knight". So who is a knight and who is a knave?

Ava is a knight, David is a knight, Sophia is a knight, Aurora is a knave, Amelia is a knight, and Scarlett is a knight.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Emma, Emily, Evelyn, Aiden, and Lily. Luke stated, "Aiden is a knave or Emily is a knight". Emma remarked, "Emily is a knight if and only if Aiden is a knave". Emily expressed that Luke is a knave or Evelyn is a knave. "If Evelyn is a knight then Luke is a knight" - Evelyn. "Lily is a knave or Aiden is a knight" - Aiden. "Emily is a knave and Evelyn is a knight," Lily claimed. So who is a knight and who is a knave?

Luke is a knight, Emma is a knave, Emily is a knave, Evelyn is a knight, Aiden is a knave, and Lily is a knight.

(1) Luke is a knight
(2) Emma is a knave
(3) Emily is a knave
(4) Evelyn is a knight
(5) Aiden is a knave
(6) Lily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Luke is a knave or Evelyn is a knave.

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Emily 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: Avery, Logan, Penelope, Elizabeth, Zoey, and Riley. Avery remarked, "If Penelope is a knight then Zoey is a knight". Logan was heard saying, "Riley is a knave if and only if Zoey is a knight". Penelope said, "Zoey is a knight if and only if Logan is a knight." Elizabeth said, "Zoey is not a knave." "Penelope is not a knight," Zoey declared. In a statement by Riley: "Logan is a knight and Zoey is a knight". So who is a knight and who is a knave?

Avery Logan Penelope Elizabeth Zoey Riley

Avery is a knave, Logan is a knave, Penelope is a knight, Elizabeth is a knave, Zoey is a knave, and Riley is a knave.

(1) Avery is a knave
(2) Logan is a knave
(3) Penelope is a knight
(4) Elizabeth is a knave
(5) Zoey is a knave
(6) Riley is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Zoey 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: Harper, Noah, James, Mason, Ava, and Emily. "Emily is a knave and Noah is a knight," Harper claimed. In Noah's words: "James is a knave if and only if Harper is a knave". According to James, "Noah is a knave if and only if Harper is a knave". According to Mason, "James is not a knave". In Ava's words: "Emily is a knight or Harper is a knight". "James is not a knave," Emily mentioned. So who is a knight and who is a knave?

Harper is a knave, Noah is a knave, James is a knight, Mason is a knight, Ava is a knight, and Emily is a knight.

(1) Harper is a knave
(2) Noah is a knave
(3) James is a knight
(4) Mason is a knight
(5) Ava is a knight
(6) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Jack, Victoria, Olivia, Emma, and Sofia. James noted, "Sofia is a knave or Victoria is a knave". Jack stated, "Emma is a knight if and only if Sofia is a knight". In a statement by Victoria: "James is a knight if and only if Emma is a knave". "Jack is a knight" - Olivia. Emma remarked, "Victoria is a knight and Sofia is a knight". Sofia expressed that Olivia is a knight and Victoria is a knave. So who is a knight and who is a knave?

James is a knight, Jack is a knight, Victoria is a knight, Olivia is a knight, Emma is a knave, and Sofia is a knave.

(1) James is a knight
(2) Jack is a knight
(3) Victoria is a knight
(4) Olivia is a knight
(5) Emma is a knave
(6) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that James is a knight if and only if 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: Harper, Zoey, Ava, William, Emma, and Ethan. Harper asserted: "William is a knave or Ethan is a knave". As Zoey put it, "Ava is a knight and Harper is a knight". According to Ava, "Ethan is a knave and William is a knight". "Ethan is a knave and Zoey is a knave," William declared. Emma stated, "Ethan is a knave if and only if Zoey is a knave". Ethan said, "Ethan is a knight." So who is a knight and who is a knave?

Harper is a knight, Zoey is a knave, Ava is a knave, William is a knave, Emma is a knave, and Ethan is a knight.

(1) Harper is a knight
(2) Zoey is a knave
(3) Ava is a knave
(4) William is a knave
(5) Emma is a knave
(6) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Victoria, Lucas, Aiden, Chloe, James, and Harper. "Chloe is a knave," Victoria declared. "If Harper is a knight then Lucas is a knight," Lucas declared. Aiden said, "Chloe is a knave if and only if James is a knight." Chloe said that Victoria is a knave or James is a knight. In a statement by James: "If Victoria is a knight then Chloe is a knave". Harper noted, "James is a knave if and only if Chloe is a knight". So who is a knight and who is a knave?

Victoria is a knave, Lucas is a knight, Aiden is a knave, Chloe is a knight, James is a knight, and Harper is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Zoey, Isabella, Logan, Michael, and William. Samuel noted, "Isabella is a knave if and only if Michael is a knight". Zoey told you that Isabella is a knave if and only if William is a knave. In a statement by Isabella: "Zoey is a knight or Samuel is a knight". Logan said that If Zoey is a knave then Logan is a knight. According to Michael, "Isabella is a knight and Michael is a knight". William commented, "Michael is a knight if and only if William is a knight". So who is a knight and who is a knave?

Samuel Zoey Isabella Logan Michael William

Samuel is a knave, Zoey is a knight, Isabella is a knight, Logan is a knight, Michael is a knight, and William is a knight.

(1) Samuel is a knave
(2) Zoey is a knight
(3) Isabella is a knight
(4) Logan is a knight
(5) Michael is a knight
(6) William is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Matthew, Sophia, James, Isabella, Jacob, and Evelyn. Matthew asserted: "Evelyn is a knight and Isabella is a knave". "James is a knight or James is a knave," Sophia mentioned. James stated, "Matthew is a knight and Jacob is a knight". "If Jacob is a knave then Sophia is a knave," Isabella declared. Jacob told you that Jacob is a knight. Evelyn said, "Matthew is not a knight." So who is a knight and who is a knave?

Matthew Sophia James Isabella Jacob Evelyn

Matthew is a knave, Sophia is a knight, James is a knave, Isabella is a knight, Jacob is a knight, and Evelyn is a knight.

(1) Matthew is a knave
(2) Sophia is a knight
(3) James is a knave
(4) Isabella is a knight
(5) Jacob is a knight
(6) Evelyn is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jacob, Ava, Oliver, William, Chloe, and David. Jacob expressed that If David is a knave then Ava is a knave. Ava asserted: "David is a knight and David is a knave". Oliver remarked, "If William is a knave then David is a knave". William asserted: "Jacob is a knave and Oliver is a knight". According to Chloe, "Oliver is a knight". David told you that Ava is a knave. So who is a knight and who is a knave?

Jacob is a knight, Ava is a knave, Oliver is a knave, William is a knave, Chloe is a knave, and David is a knight.

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

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

Assume David 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 their own that David is a knight and David is a knave.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Mason, Jacob, Penelope, Harper, and Emma. James commented, "Penelope is a knave or Jacob is a knight". In Mason's words: "Harper is a knight". Jacob told you that If Mason is a knave then Mason is a knight. Penelope was heard saying, "Harper is a knave and Emma is a knave". According to Harper, "Emma is a knight or James is a knight". Emma expressed that If Harper is a knight then James is a knight. So who is a knight and who is a knave?

James is a knight, Mason is a knight, Jacob is a knight, Penelope is a knave, Harper is a knight, and Emma is a knight.

(1) James is a knight
(2) Mason is a knight
(3) Jacob is a knight
(4) Penelope is a knave
(5) Harper is a knight
(6) Emma is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Olivia, Mia, Ava, Oliver, Riley, and Jackson. In Olivia's words: "Mia is a knave if and only if Oliver is a knave". According to Mia, "Ava is a knight or Mia is a knight". According to Ava, "Riley is a knave or Oliver is a knight". Oliver said that Mia is a knight or Ava is a knight. In a statement by Riley: "If Jackson is a knave then Jackson is a knight". Jackson noted, "Olivia is a knight if and only if Olivia is a knave". So who is a knight and who is a knave?

Olivia is a knight, Mia is a knight, Ava is a knight, Oliver is a knight, Riley is a knave, and Jackson is a knave.

(1) Olivia is a knight
(2) Mia is a knight
(3) Ava is a knight
(4) Oliver is a knight
(5) Riley is a knave
(6) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Ava, Aurora, Ella, Logan, and Luke. David told you that Luke is a knight if and only if Ava is a knave. "If Luke is a knave then Logan is a knight," Ava mentioned. Aurora expressed that If David is a knight then Ava is a knight. Ella expressed that Logan is a knave or Luke is a knight. "Ava is a knight or David is a knight," Logan claimed. Luke asserted: "Aurora is a knave or Logan is a knave". So who is a knight and who is a knave?

David is a knight, Ava is a knight, Aurora is a knight, Ella is a knave, Logan is a knight, and Luke is a knave.

(1) David is a knight
(2) Ava is a knight
(3) Aurora is a knight
(4) Ella is a knave
(5) Logan is a knight
(6) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Aria, Sebastian, Henry, Ava, and Benjamin. As Abigail put it, "Aria is a knight if and only if Benjamin is a knave". Aria told you that Aria is a knight or Benjamin is a knave. "Ava is a knave or Henry is a knight," Sebastian declared. Henry was heard saying, "Ava is a knight and Benjamin is a knight". Ava said, "Benjamin is a knave and Abigail is a knight." Benjamin said, "If Abigail is a knight then Ava is a knight." So who is a knight and who is a knave?

Abigail Aria Sebastian Henry Ava Benjamin

Abigail is a knave, Aria is a knight, Sebastian is a knight, Henry is a knave, Ava is a knave, and Benjamin is a knight.

(1) Abigail is a knave
(2) Aria is a knight
(3) Sebastian is a knight
(4) Henry is a knave
(5) Ava is a knave
(6) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Mason, Benjamin, Sofia, Harper, and Aria. Samuel noted, "Aria is a knight". Mason noted, "Benjamin is a knave if and only if Aria is a knight". According to Benjamin, "Samuel is a knight or Sofia is a knight". Sofia commented, "Aria is a knight or Harper is a knave". Harper was heard saying, "Harper is a knight". Aria was heard saying, "If Benjamin is a knight then Benjamin is a knave". So who is a knight and who is a knave?

Samuel is a knave, Mason is a knight, Benjamin is a knight, Sofia is a knight, Harper is a knave, and Aria is a knave.

(1) Samuel is a knave
(2) Mason is a knight
(3) Benjamin is a knight
(4) Sofia is a knight
(5) Harper is a knave
(6) Aria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('telling-truth', 5), ('<=>', ('lying', 2), ('telling-truth', 5)), ('or', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 5), ('lying', 4)), ('telling-truth', 4), ('->', ('telling-truth', 2), ('lying', 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: Harper, William, Aria, Samuel, Lucas, and Mason. As Harper put it, "Lucas is a knave and Samuel is a knave". William said that Mason is a knave and Samuel is a knight. Aria expressed that Harper is a knight and Mason is a knight. Samuel stated, "Aria is not a knave". Lucas expressed that Mason is a knave or William is a knave. Mason told you that Harper is not a knave. So who is a knight and who is a knave?

Harper is a knave, William is a knave, Aria is a knave, Samuel is a knave, Lucas is a knight, and Mason is a knave.

(1) Harper is a knave
(2) William is a knave
(3) Aria is a knave
(4) Samuel is a knave
(5) Lucas is a knight
(6) Mason is a knave

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

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

Assume Lucas is a knave. No contradiction is found in their false claim that Mason is a knave or William is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that Harper is a knight and Mason 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, Emma, Chloe, Zoey, Alexander, and Ella. In a statement by Michael: "If Zoey is a knight then Chloe is a knave". Emma noted, "Chloe is a knave or Zoey is a knave". Chloe told you that Michael is a knave or Emma is a knave. As Zoey put it, "Michael is not a knave". Alexander stated, "Chloe is a knave". According to Ella, "Chloe is a knight or Alexander is a knight". So who is a knight and who is a knave?

Michael is a knight, Emma is a knight, Chloe is a knave, Zoey is a knight, Alexander is a knight, and Ella is a knight.

(1) Michael is a knight
(2) Emma is a knight
(3) Chloe is a knave
(4) Zoey is a knight
(5) Alexander is a knight
(6) Ella is a knight

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Michael is a knave or Emma is a knave.

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

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

Assume Ella is a knight. No contradiction is found in their claim that Chloe is a knight or Alexander 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: Mia, Chloe, David, Charlotte, Elizabeth, and Olivia. Mia stated, "Mia is a knight or Olivia is a knave". Chloe said that Charlotte is a knight. David stated, "Elizabeth is a knave". Charlotte said, "Chloe is a knight if and only if Mia is a knave." "Mia is a knight or Olivia is a knight," Elizabeth declared. Olivia was heard saying, "Charlotte is a knight". So who is a knight and who is a knave?

Mia Chloe David Charlotte Elizabeth Olivia

Mia is a knave, Chloe is a knight, David is a knave, Charlotte is a knight, Elizabeth is a knight, and Olivia is a knight.

(1) Mia is a knave
(2) Chloe is a knight
(3) David is a knave
(4) Charlotte is a knight
(5) Elizabeth is a knight
(6) Olivia is a knight

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

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

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

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

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

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

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

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

Assume Olivia 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 false claim of Olivia that Charlotte is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Lucas, Daniel, Scarlett, Grace, and Samuel. According to Luke, "If Scarlett is a knave then Luke is a knight". Lucas asserted: "If Grace is a knight then Scarlett is a knave". Daniel was heard saying, "Lucas is a knave or Luke is a knight". Scarlett remarked, "Daniel is a knave". In a statement by Grace: "Scarlett is a knight". "If Luke is a knight then Daniel is a knave," Samuel mentioned. So who is a knight and who is a knave?

Luke is a knight, Lucas is a knight, Daniel is a knight, Scarlett is a knave, Grace is a knave, and Samuel is a knave.

(1) Luke is a knight
(2) Lucas is a knight
(3) Daniel is a knight
(4) Scarlett is a knave
(5) Grace is a knave
(6) Samuel is a knave

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

Assume Scarlett 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 Scarlett that Daniel is a knave.

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Lucas is a knave or Luke is a knight.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Owen, Mia, Benjamin, Matthew, and Isabella. Emily said, "If Mia is a knave then Isabella is a knave." Owen commented, "Benjamin is a knave". "Owen is not a knight," Mia claimed. According to Benjamin, "Matthew is a knave or Benjamin is a knight". Matthew said, "If Benjamin is a knave then Isabella is a knight." Isabella was heard saying, "If Owen is a knight then Owen is a knave". So who is a knight and who is a knave?

Emily Owen Mia Benjamin Matthew Isabella

Emily is a knight, Owen is a knave, Mia is a knight, Benjamin is a knight, Matthew is a knight, and Isabella is a knight.

(1) Emily is a knight
(2) Owen is a knave
(3) Mia is a knight
(4) Benjamin is a knight
(5) Matthew is a knight
(6) Isabella is a knight

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

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

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

Assume Owen 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 Matthew is a knave or Benjamin is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Charlotte, James, Lucas, Evelyn, and Amelia. According to Emily, "If Amelia is a knight then Lucas is a knave". Charlotte asserted: "Amelia is a knave". In James's words: "Charlotte is not a knight". Lucas stated, "Amelia is a knight and Charlotte is a knight". In Evelyn's words: "Charlotte is a knight". In Amelia's words: "Emily is a knave". So who is a knight and who is a knave?

Emily Charlotte James Lucas Evelyn Amelia

Emily is a knight, Charlotte is a knight, James is a knave, Lucas is a knave, Evelyn is a knight, and Amelia is a knave.

(1) Emily is a knight
(2) Charlotte is a knight
(3) James is a knave
(4) Lucas is a knave
(5) Evelyn is a knight
(6) Amelia is a knave

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

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

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

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

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

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

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

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

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

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