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, Sophia, Chloe, Michael, Jackson, and Grace. As Aurora put it, "If Jackson is a knave then Chloe is a knight". Sophia expressed that Chloe is a knave. Chloe noted, "Michael is a knave if and only if Jackson is a knight". "Aurora is a knight," Michael mentioned. "Chloe is a knight or Sophia is a knave," Jackson declared. Grace commented, "Chloe is not a knave". So who is a knight and who is a knave?

Aurora Sophia Chloe Michael Jackson Grace

Aurora is a knave, Sophia is a knight, Chloe is a knave, Michael is a knave, Jackson is a knave, and Grace is a knave.

(1) Aurora is a knave
(2) Sophia is a knight
(3) Chloe is a knave
(4) Michael is a knave
(5) Jackson is a knave
(6) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Henry, Lucas, Daniel, Ethan, and Logan. Oliver was heard saying, "Ethan is a knight if and only if Oliver is a knight". In Henry's words: "Lucas is a knave and Oliver is a knave". "Henry is a knight or Logan is a knight," Lucas claimed. Daniel told you that Logan is a knave if and only if Henry is a knight. Ethan remarked, "Daniel is not a knave". Logan asserted: "Oliver is a knight or Lucas is a knave". So who is a knight and who is a knave?

Oliver is a knight, Henry is a knave, Lucas is a knight, Daniel is a knight, Ethan is a knight, and Logan is a knight.

(1) Oliver is a knight
(2) Henry is a knave
(3) Lucas is a knight
(4) Daniel is a knight
(5) Ethan is a knight
(6) Logan is a knight

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

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

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

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Lucas is a knave and Oliver 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: Henry, William, Scarlett, Aurora, Luke, and Oliver. According to Henry, "If Aurora is a knight then Luke is a knave". William asserted: "Henry is a knight and Aurora is a knight". Scarlett was heard saying, "Henry is a knight". According to Aurora, "Henry is a knight and Henry is a knave". In Luke's words: "Henry is a knight or William is a knave". Oliver remarked, "William is a knight and Luke is a knave". So who is a knight and who is a knave?

Henry William Scarlett Aurora Luke Oliver

Henry is a knight, William is a knave, Scarlett is a knight, Aurora is a knave, Luke is a knight, and Oliver is a knave.

(1) Henry is a knight
(2) William is a knave
(3) Scarlett is a knight
(4) Aurora is a knave
(5) Luke is a knight
(6) Oliver is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Joseph, Olivia, Luke, Riley, and Victoria. According to Samuel, "If Joseph is a knight then Samuel is a knight". Joseph commented, "Luke is a knight if and only if Riley is a knight". Olivia expressed that If Luke is a knight then Victoria is a knave. In a statement by Luke: "Olivia is a knight and Joseph is a knave". Riley was heard saying, "Victoria is not a knave". "Riley is a knight if and only if Joseph is a knave," Victoria mentioned. So who is a knight and who is a knave?

Samuel Joseph Olivia Luke Riley Victoria

Samuel is a knight, Joseph is a knave, Olivia is a knight, Luke is a knight, Riley is a knave, and Victoria is a knave.

(1) Samuel is a knight
(2) Joseph is a knave
(3) Olivia is a knight
(4) Luke is a knight
(5) Riley is a knave
(6) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Victoria 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: Ava, Riley, Avery, Michael, Evelyn, and Logan. Ava asserted: "If Ava is a knight then Riley is a knight". Riley asserted: "Evelyn is a knave and Logan is a knight". Avery stated, "Riley is not a knight". Michael asserted: "Evelyn is a knight". Evelyn asserted: "Michael is a knight or Logan is a knave". "If Michael is a knight then Evelyn is a knight," Logan claimed. So who is a knight and who is a knave?

Ava is a knight, Riley is a knight, Avery is a knave, Michael is a knave, Evelyn is a knave, and Logan is a knight.

(1) Ava is a knight
(2) Riley is a knight
(3) Avery is a knave
(4) Michael is a knave
(5) Evelyn is a knave
(6) Logan is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Alexander, Sophia, Victoria, Henry, Riley, and Mason. Alexander noted, "Victoria is a knave or Henry is a knight". "Henry is a knave or Riley is a knight," Sophia claimed. Victoria said that Sophia is a knave or Mason is a knight. Henry said that Alexander is a knight. "If Henry is a knave then Mason is a knave," Riley mentioned. "Henry is a knight" - Mason. So who is a knight and who is a knave?

Alexander Sophia Victoria Henry Riley Mason

Alexander is a knight, Sophia is a knight, Victoria is a knight, Henry is a knight, Riley is a knight, and Mason is a knight.

(1) Alexander is a knight
(2) Sophia is a knight
(3) Victoria is a knight
(4) Henry is a knight
(5) Riley is a knight
(6) Mason is a knight

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

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

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

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

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

Assume Mason is a knight. No contradiction is found in their claim that Henry 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, Aurora, Lucas, Liam, Sofia, and Aiden. Harper was heard saying, "Aiden is a knave if and only if Lucas is a knave". Aurora expressed that If Sofia is a knave then Aurora is a knight. "Sofia is a knave," Lucas mentioned. "Lucas is a knave or Sofia is a knave," Liam claimed. Sofia told you that Harper is a knight. Aiden stated, "Sofia is not a knight". So who is a knight and who is a knave?

Harper is a knight, Aurora is a knight, Lucas is a knave, Liam is a knight, Sofia is a knight, and Aiden is a knave.

(1) Harper is a knight
(2) Aurora is a knight
(3) Lucas is a knave
(4) Liam is a knight
(5) Sofia is a knight
(6) Aiden is a knave

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

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

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

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

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

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

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

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

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

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

Assume Liam is a knight. No contradiction is found in their claim that Lucas is a knave or 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: Jackson, Jacob, Matthew, Sofia, David, and Chloe. "If Sofia is a knight then Chloe is a knave," Jackson claimed. In a statement by Jacob: "Chloe is a knave and Matthew is a knight". Matthew told you that Chloe is a knave or Jackson is a knave. Sofia commented, "Chloe is a knave and Jackson is a knight". David said, "Chloe is not a knight." According to Chloe, "If Matthew is a knight then Sofia is a knight". So who is a knight and who is a knave?

Jackson is a knight, Jacob is a knave, Matthew is a knave, Sofia is a knave, David is a knave, and Chloe is a knight.

(1) Jackson is a knight
(2) Jacob is a knave
(3) Matthew is a knave
(4) Sofia is a knave
(5) David is a knave
(6) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume David 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: Abigail, Benjamin, Henry, Aiden, Alexander, and Logan. Abigail said, "If Abigail is a knight then Logan is a knave." Benjamin told you that If Henry is a knight then Alexander is a knave. Henry was heard saying, "Logan is not a knight". In a statement by Aiden: "If Benjamin is a knave then Alexander is a knave". Alexander was heard saying, "Henry is not a knight". Logan told you that If Alexander is a knave then Benjamin is a knave. So who is a knight and who is a knave?

Abigail Benjamin Henry Aiden Alexander Logan

Abigail is a knight, Benjamin is a knight, Henry is a knight, Aiden is a knight, Alexander is a knave, and Logan is a knave.

(1) Abigail is a knight
(2) Benjamin is a knight
(3) Henry is a knight
(4) Aiden is a knight
(5) Alexander is a knave
(6) Logan is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Joseph, Amelia, William, Lily, and Ethan. In a statement by Abigail: "If Ethan is a knave then Joseph is a knave". "Amelia is a knave if and only if William is a knight" - Joseph. Amelia remarked, "Lily is not a knight". As William put it, "Amelia is a knave or Amelia is a knight". Lily commented, "Abigail is a knight if and only if Lily is a knight". Ethan asserted: "Joseph is a knave". So who is a knight and who is a knave?

Abigail Joseph Amelia William Lily Ethan

Abigail is a knight, Joseph is a knave, Amelia is a knight, William is a knight, Lily is a knave, and Ethan is a knight.

(1) Abigail is a knight
(2) Joseph is a knave
(3) Amelia is a knight
(4) William is a knight
(5) Lily is a knave
(6) Ethan is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, Aria, Scarlett, Penelope, David, and Noah. Sebastian said that David is a knave. "If Noah is a knight then Sebastian is a knave," Aria claimed. "Sebastian is a knave and Noah is a knave" - Scarlett. As Penelope put it, "David is a knave". David said that Noah is a knave if and only if Aria is a knave. Noah said that If Noah is a knight then Sebastian is a knight. So who is a knight and who is a knave?

Sebastian Aria Scarlett Penelope David Noah

Sebastian is a knight, Aria is a knave, Scarlett is a knave, Penelope is a knight, David is a knave, and Noah is a knight.

(1) Sebastian is a knight
(2) Aria is a knave
(3) Scarlett is a knave
(4) Penelope is a knight
(5) David is a knave
(6) Noah is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Joseph, Lucas, Emma, Grace, and Chloe. Mason commented, "Joseph is a knight if and only if Mason is a knight". According to Joseph, "Emma is a knight and Joseph is a knight". Lucas stated, "Joseph is not a knave". In a statement by Emma: "Grace is not a knight". Grace expressed that Chloe is a knight. "Mason is a knight," Chloe claimed. So who is a knight and who is a knave?

Mason is a knave, Joseph is a knight, Lucas is a knight, Emma is a knight, Grace is a knave, and Chloe is a knave.

(1) Mason is a knave
(2) Joseph is a knight
(3) Lucas is a knight
(4) Emma is a knight
(5) Grace is a knave
(6) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Matthew, Noah, Scarlett, Jackson, and Evelyn. David noted, "Scarlett is not a knave". Matthew said that Noah is a knave or David is a knave. Noah told you that Jackson is a knave or Matthew is a knight. "David is a knave if and only if David is a knight," Scarlett mentioned. As Jackson put it, "Matthew is a knave". Evelyn expressed that Evelyn is a knight and Jackson is a knight. So who is a knight and who is a knave?

David Matthew Noah Scarlett Jackson Evelyn

David is a knave, Matthew is a knight, Noah is a knight, Scarlett is a knave, Jackson is a knave, and Evelyn is a knave.

(1) David is a knave
(2) Matthew is a knight
(3) Noah is a knight
(4) Scarlett is a knave
(5) Jackson is a knave
(6) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Evelyn is a knave. No contradiction is found in their false claim that Evelyn is a knight and Jackson 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, Ella, Scarlett, Noah, and Amelia. In James's words: "Ella is a knave". Jack said that Scarlett is a knave or Ella is a knight. Ella asserted: "Scarlett is a knave if and only if Jack is a knight". Scarlett expressed that Noah is a knight if and only if Amelia is a knight. Noah expressed that James is a knight and Ella is a knave. Amelia commented, "Ella is not a knave". So who is a knight and who is a knave?

James is a knave, Jack is a knight, Ella is a knight, Scarlett is a knave, Noah is a knave, and Amelia is a knight.

(1) James is a knave
(2) Jack is a knight
(3) Ella is a knight
(4) Scarlett is a knave
(5) Noah is a knave
(6) Amelia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: William, Lucas, Victoria, Michael, Sophia, and Amelia. William stated, "Victoria is a knave and Michael is a knight". "Victoria is a knave and Michael is a knave," Lucas claimed. Victoria remarked, "Lucas is a knight and William is a knave". Michael told you that If Lucas is a knight then Victoria is a knave. Sophia said that William is a knight if and only if Lucas is a knave. "Lucas is a knight if and only if William is a knight," Amelia declared. So who is a knight and who is a knave?

William Lucas Victoria Michael Sophia Amelia

William is a knight, Lucas is a knave, Victoria is a knave, Michael is a knight, Sophia is a knight, and Amelia is a knave.

(1) William is a knight
(2) Lucas is a knave
(3) Victoria is a knave
(4) Michael is a knight
(5) Sophia is a knight
(6) Amelia is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, Emily, Aria, Harper, Samuel, and Sophia. Sebastian told you that Emily is a knave. Emily expressed that Sophia is a knave. Aria told you that If Harper is a knight then Samuel is a knight. Harper noted, "Samuel is a knight". Samuel was heard saying, "Sebastian is a knight or Aria is a knave". Sophia noted, "If Harper is a knight then Sophia is a knight". So who is a knight and who is a knave?

Sebastian Emily Aria Harper Samuel Sophia

Sebastian is a knight, Emily is a knave, Aria is a knight, Harper is a knight, Samuel is a knight, and Sophia is a knight.

(1) Sebastian is a knight
(2) Emily is a knave
(3) Aria is a knight
(4) Harper is a knight
(5) Samuel is a knight
(6) Sophia is a knight

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

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

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

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

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

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

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

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


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, Aria, Samuel, Sofia, Zoey, and Emma. According to Emily, "Aria is a knight and Samuel is a knave". "Samuel is a knave if and only if Emma is a knave" - Aria. Samuel noted, "If Sofia is a knave then Aria is a knave". "If Aria is a knave then Emily is a knave," Sofia declared. "If Aria is a knight then Sofia is a knave," Zoey claimed. "Sofia is not a knave," Emma declared. So who is a knight and who is a knave?

Emily is a knave, Aria is a knight, Samuel is a knight, Sofia is a knight, Zoey is a knave, and Emma is a knight.

(1) Emily is a knave
(2) Aria is a knight
(3) Samuel is a knight
(4) Sofia is a knight
(5) Zoey is a knave
(6) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Zoey is a knave. No contradiction is found in their false claim that If Aria is a knight then 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: Jackson, William, Jack, Chloe, Scarlett, and Henry. As Jackson put it, "If William is a knave then Henry is a knight". William stated, "Jack is a knave and Chloe is a knight". In Jack's words: "Scarlett is a knight or Scarlett is a knave". Chloe commented, "William is a knave and Scarlett is a knave". In a statement by Scarlett: "Jack is a knave". In a statement by Henry: "If Jack is a knight then Chloe is a knight". So who is a knight and who is a knave?

Jackson William Jack Chloe Scarlett Henry

Jackson is a knight, William is a knave, Jack is a knight, Chloe is a knight, Scarlett is a knave, and Henry is a knight.

(1) Jackson is a knight
(2) William is a knave
(3) Jack is a knight
(4) Chloe is a knight
(5) Scarlett is a knave
(6) Henry is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Amelia, William, Chloe, Logan, Scarlett, and Sebastian. Amelia noted, "Chloe is a knight and William is a knight". William commented, "William is a knight or Logan is a knight". Chloe said, "Logan is a knight and Scarlett is a knight." "Sebastian is a knave," Logan declared. "Chloe is a knave or Chloe is a knight," Scarlett declared. Sebastian remarked, "William is not a knave". So who is a knight and who is a knave?

Amelia William Chloe Logan Scarlett Sebastian

Amelia is a knave, William is a knight, Chloe is a knave, Logan is a knave, Scarlett is a knight, and Sebastian is a knight.

(1) Amelia is a knave
(2) William is a knight
(3) Chloe is a knave
(4) Logan is a knave
(5) Scarlett is a knight
(6) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 2), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('and', ('telling-truth', 3), ('telling-truth', 4)), ('lying', 5), ('or', ('lying', 2), ('telling-truth', 2)), ('not', ('lying', 1)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Riley, Avery, Benjamin, Oliver, Isabella, and Aiden. Riley stated, "Benjamin is a knave". Avery told you that Aiden is a knight or Benjamin is a knave. Benjamin commented, "Aiden is a knight or Oliver is a knave". Oliver told you that Isabella is a knight if and only if Aiden is a knight. "Riley is not a knight," Isabella declared. Aiden said, "Oliver is a knave." So who is a knight and who is a knave?

Riley Avery Benjamin Oliver Isabella Aiden

Riley is a knight, Avery is a knight, Benjamin is a knave, Oliver is a knight, Isabella is a knave, and Aiden is a knave.

(1) Riley is a knight
(2) Avery is a knight
(3) Benjamin is a knave
(4) Oliver is a knight
(5) Isabella is a knave
(6) Aiden is a knave

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

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

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

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

Assume Aiden 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 Isabella is a knight if and only if Aiden is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Logan, Aria, Owen, Alexander, and William. "William is not a knave" - Evelyn. Logan noted, "If Evelyn is a knight then Aria is a knave". "Logan is a knight and William is a knave" - Aria. In Owen's words: "William is a knave if and only if Evelyn is a knight". Alexander told you that Owen is not a knave. "If Logan is a knight then Alexander is a knight," William mentioned. So who is a knight and who is a knave?

Evelyn Logan Aria Owen Alexander William

Evelyn is a knave, Logan is a knight, Aria is a knight, Owen is a knave, Alexander is a knave, and William is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Avery, Ella, Scarlett, Ethan, Riley, and Victoria. Avery stated, "Avery is a knight and Ella is a knight". In a statement by Ella: "Scarlett is not a knight". In Scarlett's words: "Victoria is a knight if and only if Riley is a knave". Ethan remarked, "Avery is not a knave". "Ethan is a knave" - Riley. In a statement by Victoria: "Riley is a knave and Ella is a knight". So who is a knight and who is a knave?

Avery Ella Scarlett Ethan Riley Victoria

Avery is a knave, Ella is a knave, Scarlett is a knight, Ethan is a knave, Riley is a knight, and Victoria is a knave.

(1) Avery is a knave
(2) Ella is a knave
(3) Scarlett is a knight
(4) Ethan is a knave
(5) Riley is a knight
(6) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley 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 their own that Avery is not a knave.

Assume Ethan is a knave. No contradiction is found in their false claim that Avery 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: Olivia, Jacob, Sebastian, Emily, Alexander, and David. Olivia said, "Alexander is a knight." In a statement by Jacob: "If Emily is a knight then David is a knave". Sebastian expressed that Olivia is a knave. According to Emily, "Jacob is a knight". Alexander expressed that Jacob is a knave. According to David, "Jacob is a knight if and only if Alexander is a knight". So who is a knight and who is a knave?

Olivia Jacob Sebastian Emily Alexander David

Olivia is a knave, Jacob is a knight, Sebastian is a knight, Emily is a knight, Alexander is a knave, and David is a knave.

(1) Olivia is a knave
(2) Jacob is a knight
(3) Sebastian is a knight
(4) Emily is a knight
(5) Alexander is a knave
(6) David is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sebastian 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: Olivia, James, William, Grace, Chloe, and David. Olivia said, "Chloe is a knave or William is a knave." James commented, "David is not a knave". As William put it, "David is not a knight". Grace remarked, "James is a knight if and only if Chloe is a knave". Chloe said that William is a knight and Olivia is a knave. According to David, "James is a knave or Grace is a knight". So who is a knight and who is a knave?

Olivia is a knight, James is a knight, William is a knave, Grace is a knight, Chloe is a knave, and David is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace is a knight. No contradiction is found in their claim that James is a knight if and only if Chloe 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, Elizabeth, Charlotte, Oliver, Daniel, and Michael. Luke said that Charlotte is a knave and Elizabeth is a knave. Elizabeth asserted: "Charlotte is a knave or Oliver is a knave". "If Elizabeth is a knight then Luke is a knave," Charlotte claimed. "Oliver is a knight or Michael is a knight," Oliver mentioned. As Daniel put it, "Michael is not a knave". Michael remarked, "Oliver is a knight and Daniel is a knave". So who is a knight and who is a knave?

Luke Elizabeth Charlotte Oliver Daniel Michael

Luke is a knave, Elizabeth is a knight, Charlotte is a knight, Oliver is a knave, Daniel is a knave, and Michael is a knave.

(1) Luke is a knave
(2) Elizabeth is a knight
(3) Charlotte is a knight
(4) Oliver is a knave
(5) Daniel is a knave
(6) Michael is a knave

Assume Luke is a knight. No contradiction is found in their claim that Charlotte is a knave and Elizabeth is a knave.

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

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Charlotte is a knave and Elizabeth is a knave.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Chloe, Alexander, Scarlett, Evelyn, and Charlotte. Sophia expressed that Chloe is not a knight. "Evelyn is not a knave," Chloe claimed. Alexander noted, "Evelyn is a knight or Alexander is a knight". In a statement by Scarlett: "Charlotte is a knight or Chloe is a knight". "If Alexander is a knave then Alexander is a knight," Evelyn mentioned. As Charlotte put it, "If Charlotte is a knight then Evelyn is a knight". So who is a knight and who is a knave?

Sophia Chloe Alexander Scarlett Evelyn Charlotte

Sophia is a knave, Chloe is a knight, Alexander is a knight, Scarlett is a knight, Evelyn is a knight, and Charlotte is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sophia 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 Evelyn is not a knave.

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

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

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

(('not', ('telling-truth', 1)), ('not', ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('->', ('lying', 2), ('telling-truth', 2)), ('->', ('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: Owen, Emma, Olivia, William, Lily, and Ella. Owen asserted: "Ella is a knight". Emma stated, "Lily is a knight and William is a knight". In Olivia's words: "William is not a knight". William expressed that Owen is a knave if and only if Olivia is a knight. Lily asserted: "Olivia is a knave". As Ella put it, "Lily is a knave and Ella is a knight". So who is a knight and who is a knave?

Owen is a knight, Emma is a knave, Olivia is a knight, William is a knave, Lily is a knave, and Ella is a knight.

(1) Owen is a knight
(2) Emma is a knave
(3) Olivia is a knight
(4) William is a knave
(5) Lily is a knave
(6) Ella is a knight

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

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

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

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

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

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

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

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

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

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


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, Lucas, Logan, Elizabeth, Ethan, and Noah. Michael said, "Logan is a knave if and only if Ethan is a knave." "Noah is a knave," Lucas mentioned. Logan noted, "Ethan is not a knight". Elizabeth said, "Logan is a knave and Noah is a knave." Ethan said that Lucas is a knave if and only if Noah is a knave. Noah remarked, "Elizabeth is not a knight". So who is a knight and who is a knave?

Michael Lucas Logan Elizabeth Ethan Noah

Michael is a knave, Lucas is a knave, Logan is a knight, Elizabeth is a knave, Ethan is a knave, and Noah is a knight.

(1) Michael is a knave
(2) Lucas is a knave
(3) Logan is a knight
(4) Elizabeth is a knave
(5) Ethan is a knave
(6) Noah is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Logan is a knave and Noah is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Ella, Elizabeth, Aiden, Zoey, and Mason. "If Elizabeth is a knave then Aiden is a knave" - Ethan. "Aiden is a knight or Elizabeth is a knight," Ella claimed. Elizabeth noted, "Mason is a knight or Ella is a knight". Aiden told you that If Zoey is a knight then Mason is a knight. "Ella is a knight if and only if Aiden is a knave," Zoey mentioned. "If Ella is a knight then Zoey is a knight," Mason mentioned. So who is a knight and who is a knave?

Ethan is a knight, Ella is a knight, Elizabeth is a knight, Aiden is a knight, Zoey is a knave, and Mason is a knave.

(1) Ethan is a knight
(2) Ella is a knight
(3) Elizabeth is a knight
(4) Aiden is a knight
(5) Zoey is a knave
(6) Mason is a knave

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

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

Assume Mason is a knight. No contradiction is found in their claim that If Ella is a knight then Zoey is a knight.

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

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

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

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

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

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

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

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

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

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

Zoey cannot be a knight, because this would contradict the claim of Aiden that If Zoey is a knight then Mason is a knight.

Assume Zoey is a knave. No contradiction is found in their false claim that Ella 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: Harper, Benjamin, Ava, Jacob, Charlotte, and Chloe. Harper noted, "Ava is a knight if and only if Charlotte is a knight". "Ava is a knight and Charlotte is a knight," Benjamin declared. "Charlotte is a knave and Jacob is a knight," Ava mentioned. Jacob stated, "If Chloe is a knight then Ava is a knight". As Charlotte put it, "If Chloe is a knave then Benjamin is a knave". In Chloe's words: "Ava is not a knave". So who is a knight and who is a knave?

Harper Benjamin Ava Jacob Charlotte Chloe

Harper is a knave, Benjamin is a knave, Ava is a knave, Jacob is a knight, Charlotte is a knight, and Chloe is a knave.

(1) Harper is a knave
(2) Benjamin is a knave
(3) Ava is a knave
(4) Jacob is a knight
(5) Charlotte is a knight
(6) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that If Chloe is a knight then 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: Charlotte, Sofia, Logan, Ella, Emma, and Victoria. As Charlotte put it, "Victoria is a knave". In Sofia's words: "If Emma is a knight then Charlotte is a knave". Logan was heard saying, "Sofia is a knight and Charlotte is a knight". According to Ella, "Logan is not a knave". As Emma put it, "Charlotte is not a knave". Victoria noted, "Emma is a knave or Sofia is a knave". So who is a knight and who is a knave?

Charlotte Sofia Logan Ella Emma Victoria

Charlotte is a knave, Sofia is a knight, Logan is a knave, Ella is a knave, Emma is a knave, and Victoria is a knight.

(1) Charlotte is a knave
(2) Sofia is a knight
(3) Logan is a knave
(4) Ella is a knave
(5) Emma is a knave
(6) Victoria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Isabella, Benjamin, Ella, Zoey, and Aiden. Oliver commented, "Benjamin is not a knave". Isabella said, "Zoey is a knave." "If Benjamin is a knight then Ella is a knight," Benjamin declared. Ella said, "Zoey is a knight." Zoey said that If Oliver is a knave then Ella is a knight. According to Aiden, "Isabella is a knave if and only if Oliver is a knave". So who is a knight and who is a knave?

Oliver Isabella Benjamin Ella Zoey Aiden

Oliver is a knight, Isabella is a knave, Benjamin is a knight, Ella is a knight, Zoey is a knight, and Aiden is a knave.

(1) Oliver is a knight
(2) Isabella is a knave
(3) Benjamin is a knight
(4) Ella is a knight
(5) Zoey is a knight
(6) Aiden is a knave

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Oliver 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: Scarlett, Charlotte, Jack, Penelope, Luke, and Elizabeth. Scarlett stated, "Luke is a knight or Charlotte is a knave". Charlotte expressed that Scarlett is a knight and Elizabeth is a knight. Jack asserted: "Charlotte is a knight". Penelope commented, "If Luke is a knave then Jack is a knight". In a statement by Luke: "Charlotte is a knight and Scarlett is a knight". Elizabeth expressed that If Scarlett is a knave then Scarlett is a knight. So who is a knight and who is a knave?

Scarlett Charlotte Jack Penelope Luke Elizabeth

Scarlett is a knight, Charlotte is a knight, Jack is a knight, Penelope is a knight, Luke is a knight, and Elizabeth is a knight.

(1) Scarlett is a knight
(2) Charlotte is a knight
(3) Jack is a knight
(4) Penelope is a knight
(5) Luke is a knight
(6) Elizabeth is a knight

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

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

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

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

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

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

(('or', ('telling-truth', 4), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 5)), ('telling-truth', 1), ('->', ('lying', 4), ('telling-truth', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('lying', 0), ('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: Benjamin, Jackson, Chloe, Scarlett, Noah, and Samuel. "Samuel is a knave or Samuel is a knight," Benjamin claimed. Jackson expressed that Samuel is not a knight. Chloe stated, "If Samuel is a knave then Noah is a knight". Scarlett asserted: "Scarlett is a knight or Chloe is a knave". Noah expressed that Jackson is a knight and Benjamin is a knave. Samuel told you that Scarlett is not a knave. So who is a knight and who is a knave?

Benjamin Jackson Chloe Scarlett Noah Samuel

Benjamin is a knight, Jackson is a knave, Chloe is a knight, Scarlett is a knight, Noah is a knave, and Samuel is a knight.

(1) Benjamin is a knight
(2) Jackson is a knave
(3) Chloe is a knight
(4) Scarlett is a knight
(5) Noah is a knave
(6) Samuel is a knight

Assume Benjamin 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 Scarlett is not a knave.

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

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

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Samuel 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: Luke, Sebastian, Amelia, Logan, Aurora, and Ethan. Luke remarked, "Luke is a knight and Amelia is a knave". "Ethan is not a knave" - Sebastian. Amelia stated, "Luke is a knight if and only if Sebastian is a knave". In a statement by Logan: "Ethan is not a knight". Aurora commented, "Amelia is not a knave". According to Ethan, "Luke is a knave or Amelia is a knight". So who is a knight and who is a knave?

Luke Sebastian Amelia Logan Aurora Ethan

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Amelia 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, Elizabeth, Alexander, Jacob, Grace, and Joseph. "Alexander is a knave if and only if Joseph is a knave," Harper mentioned. In a statement by Elizabeth: "Elizabeth is a knight". "If Joseph is a knight then Jacob is a knight," Alexander declared. Jacob said, "Joseph is a knave if and only if Elizabeth is a knight." Grace told you that Alexander is not a knight. Joseph was heard saying, "Elizabeth is a knave and Jacob is a knave". So who is a knight and who is a knave?

Harper Elizabeth Alexander Jacob Grace Joseph

Harper is a knave, Elizabeth is a knight, Alexander is a knight, Jacob is a knight, Grace is a knave, and Joseph is a knave.

(1) Harper is a knave
(2) Elizabeth is a knight
(3) Alexander is a knight
(4) Jacob is a knight
(5) Grace is a knave
(6) Joseph is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace is a knave. No contradiction is found in their false claim that Alexander 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: Chloe, Abigail, Aria, Liam, Sebastian, and Scarlett. "Abigail is a knave or Scarlett is a knight," Chloe claimed. Abigail noted, "Liam is a knight". "Abigail is not a knave," Aria declared. Liam stated, "Sebastian is a knight or Chloe is a knight". Sebastian was heard saying, "Aria is a knave if and only if Scarlett is a knight". Scarlett expressed that Liam is not a knave. So who is a knight and who is a knave?

Chloe Abigail Aria Liam Sebastian Scarlett

Chloe is a knight, Abigail is a knight, Aria is a knight, Liam is a knight, Sebastian is a knave, and Scarlett is a knight.

(1) Chloe is a knight
(2) Abigail is a knight
(3) Aria is a knight
(4) Liam is a knight
(5) Sebastian is a knave
(6) Scarlett is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that Liam 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: Abigail, Mason, Elizabeth, Avery, Oliver, and Sofia. In a statement by Abigail: "Abigail is a knight and Sofia is a knave". Mason remarked, "If Abigail is a knight then Sofia is a knight". Elizabeth told you that Oliver is a knight and Avery is a knave. Avery commented, "If Oliver is a knave then Mason is a knave". Oliver was heard saying, "Abigail is not a knave". Sofia noted, "If Elizabeth is a knight then Elizabeth is a knave". So who is a knight and who is a knave?

Abigail Mason Elizabeth Avery Oliver Sofia

Abigail is a knave, Mason is a knight, Elizabeth is a knave, Avery is a knave, Oliver is a knave, and Sofia is a knight.

(1) Abigail is a knave
(2) Mason is a knight
(3) Elizabeth is a knave
(4) Avery is a knave
(5) Oliver is a knave
(6) Sofia is a knight

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

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Oliver is a knight and Avery is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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