A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Lucas, Aurora, Ella, Benjamin, Jack, and Scarlett. Lily said that If Aurora is a knight then Lucas is a knight. Lucas said, "Lily is a knight or Lucas is a knight." Aurora was heard saying, "Benjamin is a knight if and only if Lily is a knave". Ella said that Jack is a knave. Benjamin told you that Lucas is a knight and Lily is a knight. Jack said, "If Ella is a knight then Lucas is a knight." Scarlett noted, "Benjamin is a knight and Ella is a knight". So who is a knight and who is a knave?

Lily Lucas Aurora Ella Benjamin Jack Scarlett

Lily is a knight, Lucas is a knight, Aurora is a knave, Ella is a knave, Benjamin is a knight, Jack is a knight, and Scarlett is a knave.

(1) Lily is a knight
(2) Lucas is a knight
(3) Aurora is a knave
(4) Ella is a knave
(5) Benjamin is a knight
(6) Jack is a knight
(7) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Grace, Owen, Oliver, Alexander, Daniel, and Emma. Aurora said, "If Oliver is a knight then Daniel is a knave." "Aurora is a knave," Grace mentioned. "Alexander is not a knight," Owen declared. Oliver told you that Alexander is a knight and Daniel is a knight. Alexander told you that Emma is a knight if and only if Aurora is a knight. Daniel asserted: "Grace is a knave if and only if Alexander is a knave". Emma told you that Oliver is a knight or Oliver is a knave. So who is a knight and who is a knave?

Aurora Grace Owen Oliver Alexander Daniel Emma

Aurora is a knight, Grace is a knave, Owen is a knave, Oliver is a knave, Alexander is a knight, Daniel is a knave, and Emma is a knight.

(1) Aurora is a knight
(2) Grace is a knave
(3) Owen is a knave
(4) Oliver is a knave
(5) Alexander is a knight
(6) Daniel is a knave
(7) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Owen 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 7 inhabitants: Lily, Joseph, Samuel, Chloe, Alexander, Matthew, and Victoria. Lily stated, "Samuel is not a knight". Joseph was heard saying, "Chloe is not a knight". "Matthew is a knave and Chloe is a knave," Samuel declared. Chloe told you that If Lily is a knave then Samuel is a knight. "Samuel is a knave if and only if Lily is a knight," Alexander claimed. "If Chloe is a knight then Joseph is a knight" - Matthew. Victoria remarked, "Samuel is a knave". So who is a knight and who is a knave?

Lily Joseph Samuel Chloe Alexander Matthew Victoria

Lily is a knight, Joseph is a knave, Samuel is a knave, Chloe is a knight, Alexander is a knight, Matthew is a knave, and Victoria is a knight.

(1) Lily is a knight
(2) Joseph is a knave
(3) Samuel is a knave
(4) Chloe is a knight
(5) Alexander is a knight
(6) Matthew is a knave
(7) Victoria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Amelia, Oliver, Lily, Aiden, Henry, and Sofia. In Penelope's words: "Henry is a knave". "Aiden is a knave" - Amelia. Oliver remarked, "If Aiden is a knight then Sofia is a knave". "Henry is a knave and Lily is a knight," Lily declared. According to Aiden, "Lily is a knight if and only if Amelia is a knave". Henry said, "Aiden is a knight." Sofia commented, "Lily is not a knight". So who is a knight and who is a knave?

Penelope Amelia Oliver Lily Aiden Henry Sofia

Penelope is a knight, Amelia is a knight, Oliver is a knight, Lily is a knight, Aiden is a knave, Henry is a knave, and Sofia is a knave.

(1) Penelope is a knight
(2) Amelia is a knight
(3) Oliver is a knight
(4) Lily is a knight
(5) Aiden is a knave
(6) Henry is a knave
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Evelyn, Joseph, Ava, Scarlett, Sofia, and Mia. Noah remarked, "Mia is a knight or Joseph is a knave". Evelyn stated, "Mia is a knight if and only if Joseph is a knave". Joseph said, "Sofia is a knave if and only if Noah is a knight." Ava stated, "Evelyn is a knight". Scarlett said, "Ava is a knave or Sofia is a knave." "Noah is a knight or Joseph is a knave," Sofia declared. "Sofia is a knight" - Mia. So who is a knight and who is a knave?

Noah Evelyn Joseph Ava Scarlett Sofia Mia

Noah is a knight, Evelyn is a knight, Joseph is a knave, Ava is a knight, Scarlett is a knave, Sofia is a knight, and Mia is a knight.

(1) Noah is a knight
(2) Evelyn is a knight
(3) Joseph is a knave
(4) Ava is a knight
(5) Scarlett is a knave
(6) Sofia is a knight
(7) Mia is a knight

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

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

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

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

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Ava 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 7 inhabitants: Mia, James, Daniel, Victoria, Evelyn, Owen, and Mason. Mia said that Victoria is a knave and Owen is a knight. James stated, "Evelyn is not a knave". Daniel was heard saying, "Victoria is a knight". Victoria commented, "Mia is a knight and Daniel is a knight". Evelyn told you that Owen is not a knight. "Mason is not a knave" - Owen. "Evelyn is a knave if and only if Evelyn is a knight" - Mason. So who is a knight and who is a knave?

Mia James Daniel Victoria Evelyn Owen Mason

Mia is a knave, James is a knight, Daniel is a knave, Victoria is a knave, Evelyn is a knight, Owen is a knave, and Mason is a knave.

(1) Mia is a knave
(2) James is a knight
(3) Daniel is a knave
(4) Victoria is a knave
(5) Evelyn is a knight
(6) Owen is a knave
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Noah, Benjamin, Abigail, Jackson, Michael, and Sophia. Alexander asserted: "Abigail is a knave or Noah is a knave". Noah said, "Abigail is a knave and Benjamin is a knight." Benjamin remarked, "Michael is not a knight". Abigail was heard saying, "Michael is a knight if and only if Sophia is a knight". In a statement by Jackson: "Noah is not a knight". Michael stated, "Alexander is a knave if and only if Sophia is a knave". In Sophia's words: "Alexander is a knight". So who is a knight and who is a knave?

Alexander Noah Benjamin Abigail Jackson Michael Sophia

Alexander is a knight, Noah is a knave, Benjamin is a knave, Abigail is a knight, Jackson is a knight, Michael is a knight, and Sophia is a knight.

(1) Alexander is a knight
(2) Noah is a knave
(3) Benjamin is a knave
(4) Abigail is a knight
(5) Jackson is a knight
(6) Michael is a knight
(7) Sophia is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Jacob, William, Penelope, Jack, Lucas, and Grace. "Penelope is a knave and Lucas is a knave," Ella claimed. Jacob remarked, "Jacob is a knight and Grace is a knave". William noted, "Ella is a knave or Lucas is a knight". Penelope asserted: "William is a knave". Jack expressed that If Penelope is a knave then William is a knight. Lucas told you that Ella is a knave if and only if Jacob is a knave. Grace remarked, "Penelope is a knave". So who is a knight and who is a knave?

Ella Jacob William Penelope Jack Lucas Grace

Ella is a knave, Jacob is a knave, William is a knight, Penelope is a knave, Jack is a knight, Lucas is a knight, and Grace is a knight.

(1) Ella is a knave
(2) Jacob is a knave
(3) William is a knight
(4) Penelope is a knave
(5) Jack is a knight
(6) Lucas is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jack is a knight. No contradiction is found in their claim that If Penelope is a knave then 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 7 inhabitants: Henry, Ella, Alexander, William, Aurora, Victoria, and Sebastian. Henry said that Ella is a knave. As Ella put it, "If Henry is a knave then William is a knight". "Aurora is a knight if and only if Ella is a knight," Alexander declared. In William's words: "Henry is not a knight". In Aurora's words: "Ella is a knight and Victoria is a knave". Victoria remarked, "Ella is a knight if and only if William is a knight". Sebastian expressed that Victoria is a knave. So who is a knight and who is a knave?

Henry Ella Alexander William Aurora Victoria Sebastian

Henry is a knave, Ella is a knight, Alexander is a knave, William is a knight, Aurora is a knave, Victoria is a knight, and Sebastian is a knave.

(1) Henry is a knave
(2) Ella is a knight
(3) Alexander is a knave
(4) William is a knight
(5) Aurora is a knave
(6) Victoria is a knight
(7) Sebastian is a knave

Assume Henry 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 Henry that Ella is a knave.

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

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

Assume Henry 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 If Henry is a knave then William is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Liam, Daniel, Owen, Jack, Penelope, and Avery. "Jack is a knave and Daniel is a knave," Aurora declared. Liam expressed that Penelope is a knave. "Aurora is a knight," Daniel claimed. Owen expressed that Jack is a knight. Jack expressed that If Penelope is a knight then Liam is a knave. Penelope said that Avery is a knight. "Jack is not a knight," Avery claimed. So who is a knight and who is a knave?

Aurora Liam Daniel Owen Jack Penelope Avery

Aurora is a knave, Liam is a knight, Daniel is a knave, Owen is a knight, Jack is a knight, Penelope is a knave, and Avery is a knave.

(1) Aurora is a knave
(2) Liam is a knight
(3) Daniel is a knave
(4) Owen is a knight
(5) Jack is a knight
(6) Penelope is a knave
(7) Avery is a knave

Assume Aurora is a knight. No contradiction is found in their claim that Jack is a knave and Daniel is a knave.

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

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

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

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

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

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

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

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

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Jack is a knave and Daniel is a knave.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Aria, Jackson, Jacob, Harper, Ava, and Mason. Ella told you that Harper is a knight. "Jacob is not a knight" - Aria. "Mason is a knight or Jacob is a knave," Jackson claimed. Jacob told you that Aria is a knave if and only if Ava is a knave. Harper commented, "Ella is a knave if and only if Jackson is a knave". "Ella is a knight," Ava declared. "Aria is a knave and Harper is a knight," Mason mentioned. So who is a knight and who is a knave?

Ella Aria Jackson Jacob Harper Ava Mason

Ella is a knave, Aria is a knight, Jackson is a knight, Jacob is a knave, Harper is a knave, Ava is a knave, and Mason is a knave.

(1) Ella is a knave
(2) Aria is a knight
(3) Jackson is a knight
(4) Jacob is a knave
(5) Harper is a knave
(6) Ava is a knave
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that 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 7 inhabitants: Samuel, Lily, Ella, Charlotte, Noah, Jack, and Aiden. As Samuel put it, "Ella is a knight or Charlotte is a knight". Lily remarked, "Charlotte is a knave and Ella is a knight". "Samuel is a knight if and only if Charlotte is a knight," Ella declared. Charlotte told you that If Noah is a knave then Lily is a knave. Noah told you that If Aiden is a knight then Jack is a knight. According to Jack, "Aiden is a knight if and only if Noah is a knave". Aiden was heard saying, "Charlotte is a knave and Samuel is a knight". So who is a knight and who is a knave?

Samuel Lily Ella Charlotte Noah Jack Aiden

Samuel is a knight, Lily is a knave, Ella is a knight, Charlotte is a knight, Noah is a knight, Jack is a knight, and Aiden is a knave.

(1) Samuel is a knight
(2) Lily is a knave
(3) Ella is a knight
(4) Charlotte is a knight
(5) Noah is a knight
(6) Jack is a knight
(7) Aiden is a knave

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

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

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

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

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

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

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

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

Assume Lily is a knave. No contradiction is found in their false claim that Charlotte is a knave and 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 7 inhabitants: Joseph, Jack, Isabella, Abigail, Ethan, Olivia, and Evelyn. "Abigail is a knave if and only if Ethan is a knave," Joseph claimed. "Jack is a knight and Olivia is a knave" - Jack. Isabella said that Evelyn is a knave if and only if Ethan is a knave. Abigail asserted: "Jack is a knave or Evelyn is a knight". Ethan told you that If Jack is a knight then Joseph is a knave. Olivia noted, "Abigail is a knave". "Abigail is a knight," Evelyn mentioned. So who is a knight and who is a knave?

Joseph Jack Isabella Abigail Ethan Olivia Evelyn

Joseph is a knight, Jack is a knave, Isabella is a knight, Abigail is a knight, Ethan is a knight, Olivia is a knave, and Evelyn is a knight.

(1) Joseph is a knight
(2) Jack is a knave
(3) Isabella is a knight
(4) Abigail is a knight
(5) Ethan is a knight
(6) Olivia is a knave
(7) Evelyn is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Amelia, William, Luke, Chloe, Oliver, and Jack. Benjamin noted, "Chloe is a knave". Amelia said that Oliver is a knight. William stated, "If Oliver is a knave then Luke is a knight". Luke said that If Amelia is a knave then Chloe is a knave. Chloe noted, "Jack is a knight and Chloe is a knight". In Oliver's words: "William is a knave or Chloe is a knave". Jack was heard saying, "Benjamin is a knight if and only if Chloe is a knave". So who is a knight and who is a knave?

Benjamin Amelia William Luke Chloe Oliver Jack

Benjamin is a knight, Amelia is a knight, William is a knight, Luke is a knight, Chloe is a knave, Oliver is a knight, and Jack is a knight.

(1) Benjamin is a knight
(2) Amelia is a knight
(3) William is a knight
(4) Luke is a knight
(5) Chloe is a knave
(6) Oliver is a knight
(7) Jack is a knight

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

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

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

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

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

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

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

Assume Luke is a knight. No contradiction is found in their claim that If Amelia is a knave then 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 7 inhabitants: Emma, Logan, Jackson, Liam, Chloe, Penelope, and Matthew. According to Emma, "Chloe is a knight". Logan commented, "Chloe is a knave or Penelope is a knave". Jackson said that Liam is a knight if and only if Logan is a knight. "Emma is a knight if and only if Liam is a knight," Liam declared. As Chloe put it, "Penelope is not a knight". Penelope asserted: "Jackson is a knave". Matthew said that Emma is a knave. So who is a knight and who is a knave?

Emma Logan Jackson Liam Chloe Penelope Matthew

Emma is a knight, Logan is a knight, Jackson is a knight, Liam is a knight, Chloe is a knight, Penelope is a knave, and Matthew is a knave.

(1) Emma is a knight
(2) Logan is a knight
(3) Jackson is a knight
(4) Liam is a knight
(5) Chloe is a knight
(6) Penelope is a knave
(7) Matthew is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Lucas, Jacob, Matthew, Evelyn, Elizabeth, and Alexander. Jackson was heard saying, "If Evelyn is a knave then Jackson is a knight". Lucas expressed that Alexander is a knave and Elizabeth is a knight. Jacob commented, "Alexander is a knight". In Matthew's words: "Evelyn is a knight and Alexander is a knight". "Matthew is not a knight," Evelyn claimed. According to Elizabeth, "Jacob is a knave". Alexander remarked, "Matthew is a knight and Evelyn is a knave". So who is a knight and who is a knave?

Jackson Lucas Jacob Matthew Evelyn Elizabeth Alexander

Jackson is a knight, Lucas is a knight, Jacob is a knave, Matthew is a knave, Evelyn is a knight, Elizabeth is a knight, and Alexander is a knave.

(1) Jackson is a knight
(2) Lucas is a knight
(3) Jacob is a knave
(4) Matthew is a knave
(5) Evelyn is a knight
(6) Elizabeth is a knight
(7) Alexander is a knave

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

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

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

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

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

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

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

Assume Elizabeth 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 their own that Alexander is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Alexander, Liam, Lily, Ava, Logan, and Sophia. In Mason's words: "Alexander is a knave". Alexander stated, "Liam is a knave if and only if Ava is a knight". Liam noted, "Alexander is a knave or Sophia is a knave". According to Lily, "If Sophia is a knave then Mason is a knave". Ava expressed that Liam is a knave. Logan said that Sophia is a knave and Liam is a knave. Sophia commented, "Logan is not a knight". So who is a knight and who is a knave?

Mason Alexander Liam Lily Ava Logan Sophia

Mason is a knave, Alexander is a knight, Liam is a knave, Lily is a knight, Ava is a knight, Logan is a knave, and Sophia is a knight.

(1) Mason is a knave
(2) Alexander is a knight
(3) Liam is a knave
(4) Lily is a knight
(5) Ava is a knight
(6) Logan is a knave
(7) Sophia is a knight

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

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

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

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that Sophia is a knave and Liam is a knave.

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

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

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

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

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

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Alexander is a knave or Sophia is a knave.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Riley, Grace, Jacob, Aiden, Mia, and Benjamin. As Mason put it, "Jacob is a knave and Grace is a knight". Riley said, "Jacob is a knight." Grace stated, "Aiden is not a knave". "If Benjamin is a knight then Riley is a knave" - Jacob. Aiden was heard saying, "Mason is a knave if and only if Benjamin is a knight". In a statement by Mia: "Mason is a knave". According to Benjamin, "Mia is not a knight". So who is a knight and who is a knave?

Mason Riley Grace Jacob Aiden Mia Benjamin

Mason is a knave, Riley is a knight, Grace is a knave, Jacob is a knight, Aiden is a knave, Mia is a knight, and Benjamin is a knave.

(1) Mason is a knave
(2) Riley is a knight
(3) Grace is a knave
(4) Jacob is a knight
(5) Aiden is a knave
(6) Mia is a knight
(7) Benjamin is a knave

Assume Mason is a knight. No contradiction is found in their claim that Jacob is a knave and Grace is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Liam, Victoria, Ella, Logan, Matthew, and Chloe. Michael stated, "Victoria is a knave and Ella is a knight". Liam expressed that Chloe is a knight if and only if Michael is a knight. As Victoria put it, "Chloe is a knight if and only if Liam is a knave". Ella stated, "Matthew is a knave if and only if Ella is a knight". "If Victoria is a knight then Logan is a knight," Logan mentioned. "If Victoria is a knave then Chloe is a knave," Matthew mentioned. Chloe stated, "Victoria is a knave or Chloe is a knight". So who is a knight and who is a knave?

Michael Liam Victoria Ella Logan Matthew Chloe

Michael is a knight, Liam is a knight, Victoria is a knave, Ella is a knight, Logan is a knight, Matthew is a knave, and Chloe is a knight.

(1) Michael is a knight
(2) Liam is a knight
(3) Victoria is a knave
(4) Ella is a knight
(5) Logan is a knight
(6) Matthew is a knave
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Liam, Mason, Harper, Sebastian, Oliver, and Samuel. In a statement by Owen: "Liam is not a knave". "If Samuel is a knave then Owen is a knight," Liam declared. In Mason's words: "Sebastian is not a knave". Harper stated, "Harper is a knight and Samuel is a knight". Sebastian remarked, "Liam is a knight and Mason is a knave". "Samuel is not a knave," Oliver declared. Samuel told you that Oliver is a knight or Sebastian is a knight. So who is a knight and who is a knave?

Owen Liam Mason Harper Sebastian Oliver Samuel

Owen is a knave, Liam is a knave, Mason is a knave, Harper is a knave, Sebastian is a knave, Oliver is a knave, and Samuel is a knave.

(1) Owen is a knave
(2) Liam is a knave
(3) Mason is a knave
(4) Harper is a knave
(5) Sebastian is a knave
(6) Oliver is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Daniel, Aria, Jack, Isabella, Benjamin, and James. "Daniel is a knight," Jacob mentioned. Daniel commented, "James is a knave and James is a knight". In Aria's words: "Daniel is a knight if and only if Jacob is a knave". Jack said, "If Aria is a knight then Jacob is a knight." According to Isabella, "Daniel is a knave". "Jack is a knight if and only if Aria is a knave" - Benjamin. James stated, "If Benjamin is a knight then Jack is a knave". So who is a knight and who is a knave?

Jacob Daniel Aria Jack Isabella Benjamin James

Jacob is a knave, Daniel is a knave, Aria is a knave, Jack is a knight, Isabella is a knight, Benjamin is a knight, and James is a knave.

(1) Jacob is a knave
(2) Daniel is a knave
(3) Aria is a knave
(4) Jack is a knight
(5) Isabella is a knight
(6) Benjamin is a knight
(7) James is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jack is a knight. No contradiction is found in their claim that If Aria is a knight then Jacob is a knight.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Isabella, Oliver, Victoria, Ella, Emma, and Evelyn. In a statement by Abigail: "Ella is a knight or Evelyn is a knight". "Evelyn is a knave or Evelyn is a knight," Isabella declared. In Oliver's words: "Emma is a knight". Victoria noted, "If Ella is a knight then Oliver is a knight". Ella expressed that If Emma is a knight then Emma is a knave. Emma commented, "Evelyn is a knave or Ella is a knight". Evelyn noted, "Isabella is a knave". So who is a knight and who is a knave?

Abigail Isabella Oliver Victoria Ella Emma Evelyn

Abigail is a knave, Isabella is a knight, Oliver is a knight, Victoria is a knight, Ella is a knave, Emma is a knight, and Evelyn is a knave.

(1) Abigail is a knave
(2) Isabella is a knight
(3) Oliver is a knight
(4) Victoria is a knight
(5) Ella is a knave
(6) Emma is a knight
(7) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 4), ('telling-truth', 6)), ('or', ('lying', 6), ('telling-truth', 6)), ('telling-truth', 5), ('->', ('telling-truth', 4), ('telling-truth', 2)), ('->', ('telling-truth', 5), ('lying', 5)), ('or', ('lying', 6), ('telling-truth', 4)), ('lying', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aria, Owen, Avery, Michael, Samuel, and Grace. Jacob noted, "Grace is a knave if and only if Avery is a knave". Aria remarked, "Grace is a knave". "Michael is a knave if and only if Michael is a knight" - Owen. According to Avery, "Jacob is a knight". Michael was heard saying, "Jacob is a knave if and only if Grace is a knight". "Avery is a knight," Samuel mentioned. "Michael is a knight if and only if Owen is a knight," Grace claimed. So who is a knight and who is a knave?

Jacob Aria Owen Avery Michael Samuel Grace

Jacob is a knight, Aria is a knave, Owen is a knave, Avery is a knight, Michael is a knave, Samuel is a knight, and Grace is a knight.

(1) Jacob is a knight
(2) Aria is a knave
(3) Owen is a knave
(4) Avery is a knight
(5) Michael is a knave
(6) Samuel is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Ella, Charlotte, Victoria, Emily, Aurora, and Elizabeth. As Riley put it, "Ella is a knight". Ella commented, "Emily is not a knight". As Charlotte put it, "Elizabeth is a knave and Ella is a knight". Victoria commented, "Emily is not a knave". "Elizabeth is a knight and Charlotte is a knave" - Emily. In a statement by Aurora: "If Victoria is a knight then Riley is a knight". "Victoria is a knave or Riley is a knave," Elizabeth declared. So who is a knight and who is a knave?

Riley Ella Charlotte Victoria Emily Aurora Elizabeth

Riley is a knave, Ella is a knave, Charlotte is a knave, Victoria is a knight, Emily is a knight, Aurora is a knave, and Elizabeth is a knight.

(1) Riley is a knave
(2) Ella is a knave
(3) Charlotte is a knave
(4) Victoria is a knight
(5) Emily is a knight
(6) Aurora is a knave
(7) Elizabeth is a knight

Assume Riley 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 Emily is not a knight.

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Victoria is a knave or Riley is a knave.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Elizabeth, David, Penelope, Charlotte, James, and Liam. Ella told you that David is a knight. As Elizabeth put it, "David is a knave". David expressed that David is a knight and James is a knight. "Liam is not a knight," Penelope claimed. Charlotte stated, "David is a knight and James is a knight". James told you that David is not a knave. In a statement by Liam: "Penelope is a knight and James is a knave". So who is a knight and who is a knave?

Ella Elizabeth David Penelope Charlotte James Liam

Ella is a knight, Elizabeth is a knave, David is a knight, Penelope is a knight, Charlotte is a knight, James is a knight, and Liam is a knave.

(1) Ella is a knight
(2) Elizabeth is a knave
(3) David is a knight
(4) Penelope is a knight
(5) Charlotte is a knight
(6) James is a knight
(7) Liam is a knave

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

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

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

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

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

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

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

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

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

(('telling-truth', 2), ('lying', 2), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('telling-truth', 6)), ('and', ('telling-truth', 2), ('telling-truth', 5)), ('not', ('lying', 2)), ('and', ('telling-truth', 3), ('lying', 5)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Alexander, Owen, Daniel, Michael, Ethan, and Sofia. Sophia asserted: "Owen is a knight and Owen is a knave". As Alexander put it, "Sofia is a knave or Michael is a knave". According to Owen, "Sofia is a knave if and only if Ethan is a knight". "Sofia is not a knave," Daniel claimed. Michael asserted: "Owen is not a knight". "Daniel is a knight if and only if Sofia is a knight," Ethan mentioned. "Daniel is a knight if and only if Michael is a knight" - Sofia. So who is a knight and who is a knave?

Sophia Alexander Owen Daniel Michael Ethan Sofia

Sophia is a knave, Alexander is a knave, Owen is a knave, Daniel is a knight, Michael is a knight, Ethan is a knight, and Sofia is a knight.

(1) Sophia is a knave
(2) Alexander is a knave
(3) Owen is a knave
(4) Daniel is a knight
(5) Michael is a knight
(6) Ethan is a knight
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Mason, Jacob, Jackson, David, Aiden, and Emma. "Mason is a knave," Sofia declared. Mason stated, "Jackson is a knave". "Emma is a knave if and only if David is a knave" - Jacob. Jackson told you that Aiden is not a knight. "Emma is a knave," David mentioned. Aiden told you that Emma is not a knave. "Mason is a knight or Jackson is a knight," Emma claimed. So who is a knight and who is a knave?

Sofia Mason Jacob Jackson David Aiden Emma

Sofia is a knave, Mason is a knight, Jacob is a knave, Jackson is a knave, David is a knave, Aiden is a knight, and Emma is a knight.

(1) Sofia is a knave
(2) Mason is a knight
(3) Jacob is a knave
(4) Jackson is a knave
(5) David is a knave
(6) Aiden is a knight
(7) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Luke, Henry, Chloe, Daniel, Riley, and Mia. "Mia is a knave and Mia is a knight," Alexander mentioned. Luke said that Chloe is a knave if and only if Riley is a knave. In a statement by Henry: "If Chloe is a knight then Mia is a knight". Chloe stated, "Riley is a knight and Henry is a knight". Daniel said that If Luke is a knave then Daniel is a knight. Riley expressed that Mia is not a knave. Mia noted, "Alexander is a knave or Alexander is a knight". So who is a knight and who is a knave?

Alexander Luke Henry Chloe Daniel Riley Mia

Alexander is a knave, Luke is a knight, Henry is a knight, Chloe is a knight, Daniel is a knight, Riley is a knight, and Mia is a knight.

(1) Alexander is a knave
(2) Luke is a knight
(3) Henry is a knight
(4) Chloe is a knight
(5) Daniel is a knight
(6) Riley is a knight
(7) Mia is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Sofia, Emma, Jack, Ava, Aiden, and Grace. In Ella's words: "Ava is not a knave". Sofia said that Ava is a knave. Emma was heard saying, "Jack is a knight". According to Jack, "Sofia is a knight and Ella is a knight". Ava said, "If Ella is a knave then Sofia is a knight." Aiden expressed that If Grace is a knave then Sofia is a knight. Grace was heard saying, "Sofia is not a knave". So who is a knight and who is a knave?

Ella is a knight, Sofia is a knave, Emma is a knave, Jack is a knave, Ava is a knight, Aiden is a knave, and Grace is a knave.

(1) Ella is a knight
(2) Sofia is a knave
(3) Emma is a knave
(4) Jack is a knave
(5) Ava is a knight
(6) Aiden is a knave
(7) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Noah, Penelope, William, Grace, Alexander, and Liam. Jacob told you that Noah is a knave or William is a knave. Noah was heard saying, "Grace is a knight if and only if Alexander is a knight". Penelope told you that If Noah is a knight then Jacob is a knight. "Noah is not a knight," William claimed. Grace said, "Jacob is a knight and Grace is a knight." Alexander stated, "If Grace is a knave then Liam is a knight". "Grace is a knave if and only if Noah is a knight," Liam mentioned. So who is a knight and who is a knave?

Jacob Noah Penelope William Grace Alexander Liam

Jacob is a knight, Noah is a knight, Penelope is a knight, William is a knave, Grace is a knight, Alexander is a knight, and Liam is a knave.

(1) Jacob is a knight
(2) Noah is a knight
(3) Penelope is a knight
(4) William is a knave
(5) Grace is a knight
(6) Alexander is a knight
(7) Liam is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Ethan, Grace, Aurora, Ava, Mason, and Jackson. Harper remarked, "Ethan is a knave if and only if Aurora is a knight". Ethan said, "If Harper is a knight then Grace is a knave." In a statement by Grace: "Harper is a knight and Grace is a knight". "If Mason is a knight then Mason is a knave" - Aurora. According to Ava, "Grace is a knight if and only if Ava is a knight". Mason said that Harper is a knave if and only if Ava is a knave. Jackson remarked, "Mason is a knight or Harper is a knave". So who is a knight and who is a knave?

Harper Ethan Grace Aurora Ava Mason Jackson

Harper is a knight, Ethan is a knave, Grace is a knight, Aurora is a knight, Ava is a knave, Mason is a knave, and Jackson is a knave.

(1) Harper is a knight
(2) Ethan is a knave
(3) Grace is a knight
(4) Aurora is a knight
(5) Ava is a knave
(6) Mason is a knave
(7) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emily, Scarlett, Penelope, Amelia, Logan, and Aria. "Scarlett is a knave or Aria is a knight," Aurora declared. According to Emily, "Penelope is a knight or Aurora is a knight". Scarlett said, "Logan is a knight and Penelope is a knave." "Scarlett is a knight or Scarlett is a knave," Penelope claimed. "Penelope is a knave if and only if Aria is a knave," Amelia declared. According to Logan, "Scarlett is not a knave". Aria was heard saying, "If Scarlett is a knight then Penelope is a knight". So who is a knight and who is a knave?

Aurora Emily Scarlett Penelope Amelia Logan Aria

Aurora is a knight, Emily is a knight, Scarlett is a knave, Penelope is a knight, Amelia is a knight, Logan is a knave, and Aria is a knight.

(1) Aurora is a knight
(2) Emily is a knight
(3) Scarlett is a knave
(4) Penelope is a knight
(5) Amelia is a knight
(6) Logan is a knave
(7) Aria is a knight

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

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

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

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

Penelope 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 Penelope, so let us go back and reconsider Logan.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Amelia, Ella, Jacob, William, David, and Charlotte. "Amelia is not a knave," James claimed. Amelia said that Charlotte is a knave and William is a knight. "Jacob is a knave or James is a knave" - Ella. "Amelia is a knave if and only if William is a knave," Jacob claimed. William noted, "If David is a knave then Charlotte is a knave". "David is a knight," David claimed. Charlotte asserted: "If Jacob is a knight then Amelia is a knight". So who is a knight and who is a knave?

James Amelia Ella Jacob William David Charlotte

James is a knave, Amelia is a knave, Ella is a knight, Jacob is a knave, William is a knight, David is a knight, and Charlotte is a knight.

(1) James is a knave
(2) Amelia is a knave
(3) Ella is a knight
(4) Jacob is a knave
(5) William is a knight
(6) David is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

Jacob cannot be a knight, because this would contradict the claim of Charlotte that If Jacob is a knight then Amelia is a knight.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Liam, Lily, Mason, Oliver, Chloe, and Owen. Charlotte commented, "If Owen is a knave then Owen is a knight". "Chloe is not a knave," Liam mentioned. Lily expressed that Mason is a knight. "Lily is a knight if and only if Mason is a knight," Mason mentioned. Oliver expressed that Lily is not a knave. Chloe commented, "Owen is not a knight". "Lily is a knave and Chloe is a knave," Owen claimed. So who is a knight and who is a knave?

Charlotte Liam Lily Mason Oliver Chloe Owen

Charlotte is a knave, Liam is a knight, Lily is a knight, Mason is a knight, Oliver is a knight, Chloe is a knight, and Owen is a knave.

(1) Charlotte is a knave
(2) Liam is a knight
(3) Lily is a knight
(4) Mason is a knight
(5) Oliver is a knight
(6) Chloe is a knight
(7) Owen is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Luke, Evelyn, William, Daniel, Henry, and Emily. Victoria asserted: "Luke is a knave or Daniel is a knight". Luke said, "Victoria is a knave or William is a knight." Evelyn was heard saying, "If Luke is a knight then Victoria is a knave". William was heard saying, "Daniel is a knave and Emily is a knight". Daniel told you that Henry is a knight and Victoria is a knight. "Victoria is a knight or William is a knave," Henry declared. In a statement by Emily: "If Henry is a knave then Victoria is a knight". So who is a knight and who is a knave?

Victoria Luke Evelyn William Daniel Henry Emily

Victoria is a knight, Luke is a knave, Evelyn is a knight, William is a knave, Daniel is a knight, Henry is a knight, and Emily is a knight.

(1) Victoria is a knight
(2) Luke is a knave
(3) Evelyn is a knight
(4) William is a knave
(5) Daniel is a knight
(6) Henry is a knight
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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