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, Avery, Oliver, Sebastian, Aurora, Sofia, and Lily. Charlotte asserted: "Sofia is a knave". "Sofia is a knave or Oliver is a knight," Avery claimed. "If Sebastian is a knight then Oliver is a knight," Oliver claimed. Sebastian expressed that Aurora is a knight. "Oliver is not a knight," Aurora mentioned. Sofia told you that Lily is not a knave. Lily said, "Sebastian is a knave and Charlotte is a knight." So who is a knight and who is a knave?

Charlotte Avery Oliver Sebastian Aurora Sofia Lily

Charlotte is a knight, Avery is a knight, Oliver is a knave, Sebastian is a knight, Aurora is a knight, Sofia is a knave, and Lily is a knave.

(1) Charlotte is a knight
(2) Avery is a knight
(3) Oliver is a knave
(4) Sebastian is a knight
(5) Aurora is a knight
(6) Sofia is a knave
(7) Lily is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Benjamin, Penelope, Avery, Henry, Mason, and Oliver. Joseph said, "Oliver is a knave or Avery is a knave." Benjamin stated, "Henry is a knight if and only if Henry is a knave". Penelope said, "Oliver is a knave." In Avery's words: "Penelope is a knight". Henry expressed that Oliver is a knave or Joseph is a knight. "If Oliver is a knight then Joseph is a knight" - Mason. "Henry is a knave," Oliver claimed. So who is a knight and who is a knave?

Joseph Benjamin Penelope Avery Henry Mason Oliver

Joseph is a knight, Benjamin is a knave, Penelope is a knight, Avery is a knight, Henry is a knight, Mason is a knight, and Oliver is a knave.

(1) Joseph is a knight
(2) Benjamin is a knave
(3) Penelope is a knight
(4) Avery is a knight
(5) Henry is a knight
(6) Mason is a knight
(7) Oliver is a knave

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

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

Assume Oliver 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 Oliver that Henry is a knave.

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

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

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

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

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

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

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

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

Assume Mason is a knight. No contradiction is found in their claim that If Oliver is a knight then Joseph 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: Chloe, Sebastian, Owen, Emma, Charlotte, Michael, and Ethan. Chloe said that If Charlotte is a knave then Ethan is a knave. As Sebastian put it, "Emma is a knight". Owen stated, "Sebastian is not a knight". In Emma's words: "If Owen is a knight then Sebastian is a knave". In Charlotte's words: "Owen is a knave". In Michael's words: "Emma is a knave". In a statement by Ethan: "Chloe is a knight or Ethan is a knight". So who is a knight and who is a knave?

Chloe Sebastian Owen Emma Charlotte Michael Ethan

Chloe is a knight, Sebastian is a knight, Owen is a knave, Emma is a knight, Charlotte is a knight, Michael is a knave, and Ethan is a knight.

(1) Chloe is a knight
(2) Sebastian is a knight
(3) Owen is a knave
(4) Emma is a knight
(5) Charlotte is a knight
(6) Michael is a knave
(7) Ethan is a knight

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

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

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

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

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

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

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

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

Assume Michael 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: Lucas, Jack, William, Riley, Aurora, Penelope, and Oliver. Lucas asserted: "Penelope is a knight and Lucas is a knight". Jack commented, "Penelope is not a knight". William asserted: "Aurora is a knave". In Riley's words: "William is not a knave". "If Lucas is a knave then Lucas is a knight" - Aurora. "Jack is a knave if and only if William is a knight," Penelope declared. According to Oliver, "If Oliver is a knight then Penelope is a knave". So who is a knight and who is a knave?

Lucas Jack William Riley Aurora Penelope Oliver

Lucas is a knave, Jack is a knight, William is a knight, Riley is a knight, Aurora is a knave, Penelope is a knave, and Oliver is a knight.

(1) Lucas is a knave
(2) Jack is a knight
(3) William is a knight
(4) Riley is a knight
(5) Aurora is a knave
(6) Penelope is a knave
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Penelope 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, Lily, Henry, Aiden, Aurora, Avery, and Owen. As Abigail put it, "If Lily is a knave then Henry is a knight". As Lily put it, "Owen is a knave or Abigail is a knave". Henry expressed that Owen is a knave if and only if Aiden is a knight. According to Aiden, "Lily is a knave or Avery is a knight". In Aurora's words: "Aiden is a knight or Henry is a knight". Avery commented, "If Owen is a knight then Aurora is a knave". Owen stated, "Owen is a knight and Aiden is a knight". So who is a knight and who is a knave?

Abigail Lily Henry Aiden Aurora Avery Owen

Abigail is a knight, Lily is a knight, Henry is a knight, Aiden is a knight, Aurora is a knight, Avery is a knight, and Owen is a knave.

(1) Abigail is a knight
(2) Lily is a knight
(3) Henry is a knight
(4) Aiden is a knight
(5) Aurora is a knight
(6) Avery is a knight
(7) Owen is a knave

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

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

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that Owen is a knave if and only if Aiden 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: Liam, Ava, Daniel, Ethan, Sofia, Amelia, and Chloe. Liam noted, "Ava is a knave and Chloe is a knave". "Liam is a knave or Daniel is a knight" - Ava. As Daniel put it, "If Liam is a knave then Sofia is a knight". Ethan asserted: "If Amelia is a knave then Daniel is a knave". "Ethan is not a knave" - Sofia. Amelia expressed that Liam is a knave. "Sofia is a knave," Chloe mentioned. So who is a knight and who is a knave?

Liam Ava Daniel Ethan Sofia Amelia Chloe

Liam is a knave, Ava is a knight, Daniel is a knight, Ethan is a knight, Sofia is a knight, Amelia is a knight, and Chloe is a knave.

(1) Liam is a knave
(2) Ava is a knight
(3) Daniel is a knight
(4) Ethan is a knight
(5) Sofia is a knight
(6) Amelia is a knight
(7) Chloe is a knave

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Ava is a knave and Chloe is a knave.

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that 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: Jacob, Luke, Henry, Scarlett, Liam, Samuel, and Olivia. "Luke is a knave and Scarlett is a knight," Jacob declared. "Samuel is a knave if and only if Scarlett is a knave" - Luke. In a statement by Henry: "Scarlett is a knight if and only if Luke is a knight". Scarlett said that Olivia is a knight or Jacob is a knave. Liam noted, "Samuel is a knave or Henry is a knave". Samuel noted, "Olivia is not a knave". As Olivia put it, "Henry is not a knave". So who is a knight and who is a knave?

Jacob Luke Henry Scarlett Liam Samuel Olivia

Jacob is a knave, Luke is a knight, Henry is a knight, Scarlett is a knight, Liam is a knave, Samuel is a knight, and Olivia is a knight.

(1) Jacob is a knave
(2) Luke is a knight
(3) Henry is a knight
(4) Scarlett is a knight
(5) Liam is a knave
(6) Samuel is a knight
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Samuel is a knave or Henry is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Luke, Daniel, Amelia, Benjamin, Mason, and Ava. Liam commented, "Mason is a knight if and only if Benjamin is a knight". Luke remarked, "Luke is a knight or Benjamin is a knave". Daniel asserted: "Ava is a knave or Benjamin is a knave". "Benjamin is not a knight," Amelia declared. Benjamin was heard saying, "Mason is not a knight". Mason told you that If Mason is a knight then Daniel is a knight. Ava commented, "Amelia is a knight or Daniel is a knave". So who is a knight and who is a knave?

Liam Luke Daniel Amelia Benjamin Mason Ava

Liam is a knave, Luke is a knight, Daniel is a knight, Amelia is a knight, Benjamin is a knave, Mason is a knight, and Ava is a knight.

(1) Liam is a knave
(2) Luke is a knight
(3) Daniel is a knight
(4) Amelia is a knight
(5) Benjamin is a knave
(6) Mason is a knight
(7) Ava is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Mia, Mason, Avery, Emma, Owen, and Scarlett. In Logan's words: "Emma is a knight or Avery is a knight". "Avery is a knave if and only if Emma is a knight," Mia claimed. Mason stated, "Logan is a knave and Mia is a knave". In Avery's words: "Logan is a knave or Mia is a knight". In a statement by Emma: "Mia is a knave and Avery is a knight". "Logan is a knave and Owen is a knight," Owen mentioned. In a statement by Scarlett: "Mia is a knight if and only if Avery is a knight". So who is a knight and who is a knave?

Logan Mia Mason Avery Emma Owen Scarlett

Logan is a knight, Mia is a knight, Mason is a knave, Avery is a knight, Emma is a knave, Owen is a knave, and Scarlett is a knight.

(1) Logan is a knight
(2) Mia is a knight
(3) Mason is a knave
(4) Avery is a knight
(5) Emma is a knave
(6) Owen is a knave
(7) Scarlett is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that Mia is a knight if and only if 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: Liam, Charlotte, Isabella, Abigail, James, Aurora, and Emma. Liam told you that Isabella is a knave. Charlotte said that If Aurora is a knave then James is a knave. Isabella said, "If Aurora is a knight then Charlotte is a knight." According to Abigail, "Charlotte is a knight if and only if Liam is a knight". In a statement by James: "Isabella is a knight and Liam is a knave". As Aurora put it, "Abigail is a knight and Liam is a knight". In a statement by Emma: "Charlotte is a knight and Emma is a knight". So who is a knight and who is a knave?

Liam Charlotte Isabella Abigail James Aurora Emma

Liam is a knave, Charlotte is a knave, Isabella is a knight, Abigail is a knight, James is a knight, Aurora is a knave, and Emma is a knave.

(1) Liam is a knave
(2) Charlotte is a knave
(3) Isabella is a knight
(4) Abigail is a knight
(5) James is a knight
(6) Aurora is a knave
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Liam 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 If Aurora is a knight then Charlotte is a knight.

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Charlotte is a knight and Emma 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: Emma, Abigail, Michael, Riley, Chloe, Jacob, and Penelope. In Emma's words: "If Riley is a knight then Penelope is a knight". "Penelope is a knave or Chloe is a knave," Abigail claimed. In Michael's words: "Jacob is a knight". Riley remarked, "Penelope is a knave and Chloe is a knight". Chloe said that Abigail is a knave. As Jacob put it, "If Chloe is a knave then Emma is a knave". Penelope was heard saying, "Riley is not a knave". So who is a knight and who is a knave?

Emma Abigail Michael Riley Chloe Jacob Penelope

Emma is a knight, Abigail is a knight, Michael is a knave, Riley is a knave, Chloe is a knave, Jacob is a knave, and Penelope is a knave.

(1) Emma is a knight
(2) Abigail is a knight
(3) Michael is a knave
(4) Riley is a knave
(5) Chloe is a knave
(6) Jacob is a knave
(7) Penelope is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that If Chloe is a knave then 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, Avery, William, Harper, Chloe, Evelyn, and Michael. "William is not a knave" - Jackson. As Avery put it, "Michael is a knight if and only if Jackson is a knave". William expressed that Evelyn is a knave if and only if Michael is a knight. In a statement by Harper: "If Chloe is a knave then Jackson is a knight". Chloe was heard saying, "If Harper is a knight then Michael is a knight". Evelyn was heard saying, "Chloe is a knave". In Michael's words: "Evelyn is a knight or Jackson is a knight". So who is a knight and who is a knave?

Jackson Avery William Harper Chloe Evelyn Michael

Jackson is a knight, Avery is a knave, William is a knight, Harper is a knight, Chloe is a knight, Evelyn is a knave, and Michael is a knight.

(1) Jackson is a knight
(2) Avery is a knave
(3) William is a knight
(4) Harper is a knight
(5) Chloe is a knight
(6) Evelyn is a knave
(7) Michael is a knight

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

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

Assume Evelyn 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 Evelyn that Chloe is a knave.

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

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

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

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

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

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

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

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

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that Michael is a knight if and only if Jackson 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: Chloe, Amelia, Abigail, Oliver, Lily, Sebastian, and Aurora. "Oliver is a knight if and only if Abigail is a knave" - Chloe. Amelia remarked, "Lily is not a knave". Abigail said, "Chloe is a knave and Oliver is a knave." Oliver said, "Lily is a knave and Amelia is a knave." Lily noted, "If Chloe is a knight then Oliver is a knave". In a statement by Sebastian: "If Chloe is a knight then Amelia is a knight". "Oliver is not a knave," Aurora declared. So who is a knight and who is a knave?

Chloe Amelia Abigail Oliver Lily Sebastian Aurora

Chloe is a knight, Amelia is a knave, Abigail is a knave, Oliver is a knight, Lily is a knave, Sebastian is a knave, and Aurora is a knight.

(1) Chloe is a knight
(2) Amelia is a knave
(3) Abigail is a knave
(4) Oliver is a knight
(5) Lily is a knave
(6) Sebastian is a knave
(7) Aurora is a knight

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

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

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

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Oliver 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: Scarlett, Jack, Aria, Jackson, Avery, Elizabeth, and Abigail. Scarlett asserted: "Jackson is a knave if and only if Elizabeth is a knight". "Jackson is a knight or Aria is a knight," Jack mentioned. Aria said that Jackson is a knave and Abigail is a knight. In a statement by Jackson: "Avery is not a knave". According to Avery, "Scarlett is a knave and Jack is a knight". In Elizabeth's words: "Abigail is a knave if and only if Scarlett is a knight". As Abigail put it, "If Jackson is a knight then Jack is a knight". So who is a knight and who is a knave?

Scarlett Jack Aria Jackson Avery Elizabeth Abigail

Scarlett is a knave, Jack is a knight, Aria is a knave, Jackson is a knight, Avery is a knight, Elizabeth is a knight, and Abigail is a knight.

(1) Scarlett is a knave
(2) Jack is a knight
(3) Aria is a knave
(4) Jackson is a knight
(5) Avery is a knight
(6) Elizabeth is a knight
(7) Abigail is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knight. No contradiction is found in their claim that Abigail is a knave if and only if Scarlett 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, Sophia, Chloe, Zoey, Jacob, William, and Lucas. Harper stated, "Chloe is a knave if and only if Sophia is a knight". Sophia told you that Harper is a knight. In a statement by Chloe: "Zoey is a knight or Sophia is a knave". Zoey asserted: "Jacob is a knight and Lucas is a knight". Jacob noted, "Zoey is a knight if and only if Chloe is a knight". William said that Jacob is a knave and Zoey is a knave. Lucas noted, "Harper is not a knight". So who is a knight and who is a knave?

Harper Sophia Chloe Zoey Jacob William Lucas

Harper is a knight, Sophia is a knight, Chloe is a knave, Zoey is a knave, Jacob is a knight, William is a knave, and Lucas is a knave.

(1) Harper is a knight
(2) Sophia is a knight
(3) Chloe is a knave
(4) Zoey is a knave
(5) Jacob is a knight
(6) William is a knave
(7) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Alexander, Ava, Michael, Grace, Jack, and Amelia. Victoria said, "If Ava is a knight then Alexander is a knave." In Alexander's words: "Jack is a knave if and only if Grace is a knight". "Alexander is a knave if and only if Victoria is a knave" - Ava. "Grace is a knight or Amelia is a knight," Michael claimed. In a statement by Grace: "If Alexander is a knight then Alexander is a knave". Jack asserted: "If Grace is a knave then Amelia is a knave". "Alexander is a knight or Jack is a knave," Amelia mentioned. So who is a knight and who is a knave?

Victoria Alexander Ava Michael Grace Jack Amelia

Victoria is a knight, Alexander is a knave, Ava is a knave, Michael is a knight, Grace is a knight, Jack is a knight, and Amelia is a knave.

(1) Victoria is a knight
(2) Alexander is a knave
(3) Ava is a knave
(4) Michael is a knight
(5) Grace is a knight
(6) Jack is a knight
(7) Amelia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Isabella, James, Oliver, Liam, Matthew, and Owen. Sofia said that Liam is a knight. As Isabella put it, "Sofia is a knave and Owen is a knight". "Oliver is a knave if and only if Sofia is a knight" - James. In a statement by Oliver: "James is a knight". According to Liam, "Oliver is a knave or Owen is a knight". Matthew stated, "If Liam is a knave then Owen is a knave". In Owen's words: "Matthew is a knave or Oliver is a knave". So who is a knight and who is a knave?

Sofia Isabella James Oliver Liam Matthew Owen

Sofia is a knave, Isabella is a knave, James is a knight, Oliver is a knight, Liam is a knave, Matthew is a knight, and Owen is a knave.

(1) Sofia is a knave
(2) Isabella is a knave
(3) James is a knight
(4) Oliver is a knight
(5) Liam is a knave
(6) Matthew is a knight
(7) Owen is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Owen is a knave. No contradiction is found in their false claim that Matthew is a knave or Oliver is a knave.

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Sofia is a knave and Owen 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: Zoey, Ethan, Scarlett, Isabella, Daniel, James, and Sofia. "Daniel is a knave if and only if Isabella is a knight," Zoey claimed. Ethan said, "Scarlett is not a knight." Scarlett told you that Daniel is a knight. Isabella noted, "Daniel is not a knave". Daniel said that Zoey is a knave if and only if James is a knight. James commented, "If Sofia is a knave then Isabella is a knave". Sofia commented, "If Sofia is a knight then Isabella is a knight". So who is a knight and who is a knave?

Zoey Ethan Scarlett Isabella Daniel James Sofia

Zoey is a knave, Ethan is a knave, Scarlett is a knight, Isabella is a knight, Daniel is a knight, James is a knight, and Sofia is a knight.

(1) Zoey is a knave
(2) Ethan is a knave
(3) Scarlett is a knight
(4) Isabella is a knight
(5) Daniel is a knight
(6) James is a knight
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that 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: Luke, Olivia, Ava, Ella, David, Oliver, and Aiden. "David is a knave and David is a knight," Luke mentioned. Olivia was heard saying, "David is a knight". Ava expressed that Oliver is a knight. Ella asserted: "Luke is a knight or David is a knight". David expressed that Ava is a knight and Olivia is a knave. In a statement by Oliver: "David is a knave and Aiden is a knight". According to Aiden, "Olivia is a knight and Ava is a knight". So who is a knight and who is a knave?

Luke is a knave, Olivia is a knave, Ava is a knave, Ella is a knave, David is a knave, Oliver is a knave, and Aiden is a knave.

(1) Luke is a knave
(2) Olivia is a knave
(3) Ava is a knave
(4) Ella is a knave
(5) David is a knave
(6) Oliver is a knave
(7) Aiden is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knight. No contradiction is found in their claim that Olivia is a knight and Ava is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('lying', 4), ('telling-truth', 4)), ('telling-truth', 4), ('telling-truth', 5), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('and', ('telling-truth', 2), ('lying', 1)), ('and', ('lying', 4), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Mia, Joseph, Emily, James, Victoria, and Avery. Oliver was heard saying, "Emily is not a knight". Mia said that Victoria is a knave and Oliver is a knight. "Avery is a knave," Joseph claimed. Emily asserted: "Joseph is a knave or Avery is a knave". James stated, "Mia is not a knave". "James is a knave" - Victoria. Avery commented, "Victoria is a knight or Joseph is a knight". So who is a knight and who is a knave?

Oliver Mia Joseph Emily James Victoria Avery

Oliver is a knave, Mia is a knave, Joseph is a knave, Emily is a knight, James is a knave, Victoria is a knight, and Avery is a knight.

(1) Oliver is a knave
(2) Mia is a knave
(3) Joseph is a knave
(4) Emily is a knight
(5) James is a knave
(6) Victoria is a knight
(7) Avery is a knight

Assume Oliver 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 Oliver that Emily is not a knight.

Assume Emily is a knave. No contradiction is found in their false claim that Joseph is a knave or Avery is a knave.

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

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

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

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

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

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

Assume Oliver 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 Joseph is a knave or Avery is a knave.

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

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

Assume Avery is a knight. No contradiction is found in their claim that Victoria is a knight or Joseph is a knight.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Victoria, William, Sophia, Henry, Grace, and Avery. Isabella told you that Sophia is a knave and Henry is a knave. "Avery is a knave or Victoria is a knight" - Victoria. William remarked, "Isabella is a knight if and only if Avery is a knave". In a statement by Sophia: "Avery is a knave if and only if Grace is a knave". According to Henry, "If Avery is a knight then Grace is a knight". Grace asserted: "Sophia is a knight or William is a knight". Avery told you that Henry is a knave and Victoria is a knight. So who is a knight and who is a knave?

Isabella Victoria William Sophia Henry Grace Avery

Isabella is a knight, Victoria is a knight, William is a knave, Sophia is a knave, Henry is a knave, Grace is a knave, and Avery is a knight.

(1) Isabella is a knight
(2) Victoria is a knight
(3) William is a knave
(4) Sophia is a knave
(5) Henry is a knave
(6) Grace is a knave
(7) Avery is a knight

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

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

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

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

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

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

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Avery is a knave or Victoria 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: Jackson, Oliver, Chloe, Grace, Jack, James, and Emily. Jackson commented, "Oliver is a knight". Oliver remarked, "Emily is a knave and Emily is a knight". Chloe commented, "Oliver is a knight". "Oliver is a knave if and only if Jack is a knave," Grace mentioned. Jack was heard saying, "Chloe is a knight if and only if Emily is a knave". As James put it, "If Grace is a knave then Chloe is a knave". Emily was heard saying, "Oliver is a knave or Grace is a knave". So who is a knight and who is a knave?

Jackson Oliver Chloe Grace Jack James Emily

Jackson is a knave, Oliver is a knave, Chloe is a knave, Grace is a knave, Jack is a knight, James is a knight, and Emily is a knight.

(1) Jackson is a knave
(2) Oliver is a knave
(3) Chloe is a knave
(4) Grace is a knave
(5) Jack is a knight
(6) James is a knight
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that If Grace 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: Sophia, Sofia, Mia, Abigail, Mason, William, and Riley. Sophia expressed that Sophia is a knight or Mia is a knave. As Sofia put it, "Mia is a knave if and only if Sophia is a knight". Mia said, "William is a knight and Riley is a knight." Abigail noted, "Mia is not a knight". Mason commented, "Mia is a knave if and only if Sophia is a knave". William said, "Sophia is a knight and Sofia is a knave." As Riley put it, "William is a knight if and only if Mason is a knave". So who is a knight and who is a knave?

Sophia Sofia Mia Abigail Mason William Riley

Sophia is a knight, Sofia is a knight, Mia is a knave, Abigail is a knight, Mason is a knave, William is a knave, and Riley is a knave.

(1) Sophia is a knight
(2) Sofia is a knight
(3) Mia is a knave
(4) Abigail is a knight
(5) Mason is a knave
(6) William is a knave
(7) Riley is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Riley, Lily, Owen, James, Lucas, and Mia. Aria noted, "Riley is not a knight". Riley said that Aria is a knave or Owen is a knave. Lily was heard saying, "Owen is a knave if and only if Riley is a knave". Owen noted, "Lucas is a knave". "Riley is a knight or Lucas is a knight," James declared. According to Lucas, "Aria is not a knave". According to Mia, "James is a knave if and only if Lucas is a knave". So who is a knight and who is a knave?

Aria is a knave, Riley is a knight, Lily is a knight, Owen is a knight, James is a knight, Lucas is a knave, and Mia is a knave.

(1) Aria is a knave
(2) Riley is a knight
(3) Lily is a knight
(4) Owen is a knight
(5) James is a knight
(6) Lucas is a knave
(7) Mia is a knave

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Aria is a knave or Owen is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that James is a knave if and only if Lucas 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: Sebastian, Chloe, Owen, Riley, Olivia, Lily, and Jackson. Sebastian asserted: "Olivia is not a knave". As Chloe put it, "Sebastian is a knight if and only if Riley is a knave". Owen expressed that Olivia is a knight and Owen is a knight. In Riley's words: "If Jackson is a knight then Jackson is a knave". "Lily is a knight," Olivia claimed. In a statement by Lily: "Owen is a knight if and only if Owen is a knave". Jackson expressed that Riley is a knight and Jackson is a knight. So who is a knight and who is a knave?

Sebastian Chloe Owen Riley Olivia Lily Jackson

Sebastian is a knave, Chloe is a knight, Owen is a knave, Riley is a knight, Olivia is a knave, Lily is a knave, and Jackson is a knave.

(1) Sebastian is a knave
(2) Chloe is a knight
(3) Owen is a knave
(4) Riley is a knight
(5) Olivia is a knave
(6) Lily is a knave
(7) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Avery, Ella, Lucas, Evelyn, Logan, and Harper. Sofia told you that Lucas is a knight if and only if Evelyn is a knight. In a statement by Avery: "Logan is a knight if and only if Lucas is a knave". "Logan is a knight if and only if Lucas is a knight," Ella claimed. Lucas asserted: "Avery is a knight if and only if Lucas is a knight". In Evelyn's words: "Logan is a knave". "Avery is not a knave" - Logan. In a statement by Harper: "Avery is a knave and Sofia is a knave". So who is a knight and who is a knave?

Sofia Avery Ella Lucas Evelyn Logan Harper

Sofia is a knight, Avery is a knight, Ella is a knave, Lucas is a knave, Evelyn is a knave, Logan is a knight, and Harper is a knave.

(1) Sofia is a knight
(2) Avery is a knight
(3) Ella is a knave
(4) Lucas is a knave
(5) Evelyn is a knave
(6) Logan is a knight
(7) Harper is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knave. No contradiction is found in their false claim that Avery is a knave and 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: David, Harper, Sophia, Zoey, William, Jacob, and Riley. David said that William is a knight if and only if Riley is a knave. Harper expressed that Jacob is a knave and Zoey is a knave. Sophia said, "If David is a knave then Riley is a knave." Zoey remarked, "William is a knight and Riley is a knave". According to William, "David is a knight or Riley is a knight". Jacob said that Harper is a knave if and only if Jacob is a knight. "Zoey is not a knave" - Riley. So who is a knight and who is a knave?

David Harper Sophia Zoey William Jacob Riley

David is a knave, Harper is a knave, Sophia is a knight, Zoey is a knave, William is a knave, Jacob is a knight, and Riley is a knave.

(1) David is a knave
(2) Harper is a knave
(3) Sophia is a knight
(4) Zoey is a knave
(5) William is a knave
(6) Jacob is a knight
(7) Riley is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Evelyn, Charlotte, Sophia, Avery, Grace, and Luke. Harper stated, "If Harper is a knight then Sophia is a knight". "Harper is a knight," Evelyn claimed. "If Avery is a knight then Sophia is a knave," Charlotte declared. Sophia was heard saying, "Avery is a knave". "Harper is a knave or Luke is a knave," Avery mentioned. Grace said that Evelyn is a knight and Charlotte is a knight. "Evelyn is a knight," Luke declared. So who is a knight and who is a knave?

Harper Evelyn Charlotte Sophia Avery Grace Luke

Harper is a knight, Evelyn is a knight, Charlotte is a knight, Sophia is a knight, Avery is a knave, Grace is a knight, and Luke is a knight.

(1) Harper is a knight
(2) Evelyn is a knight
(3) Charlotte is a knight
(4) Sophia is a knight
(5) Avery is a knave
(6) Grace is a knight
(7) Luke is a knight

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that Harper is a knave or Luke is a knave.

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

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

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

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

(('->', ('telling-truth', 0), ('telling-truth', 3)), ('telling-truth', 0), ('->', ('telling-truth', 4), ('lying', 3)), ('lying', 4), ('or', ('lying', 0), ('lying', 6)), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lily, Evelyn, Liam, Henry, Jacob, and Ethan. "Liam is a knight and Henry is a knave" - James. Lily stated, "Evelyn is a knave and Evelyn is a knight". In a statement by Evelyn: "Liam is a knight if and only if Lily is a knave". Liam told you that James is a knight. "Henry is a knight or Lily is a knave," Henry declared. Jacob noted, "James is a knave". Ethan stated, "James is not a knave". So who is a knight and who is a knave?

James Lily Evelyn Liam Henry Jacob Ethan

James is a knave, Lily is a knave, Evelyn is a knave, Liam is a knave, Henry is a knight, Jacob is a knight, and Ethan is a knave.

(1) James is a knave
(2) Lily is a knave
(3) Evelyn is a knave
(4) Liam is a knave
(5) Henry is a knight
(6) Jacob is a knight
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Mason, Penelope, Evelyn, Charlotte, David, and Ethan. In Sofia's words: "Evelyn is a knave or Mason is a knight". Mason commented, "Charlotte is a knave if and only if Sofia is a knave". In a statement by Penelope: "Charlotte is a knight if and only if Sofia is a knave". Evelyn commented, "David is a knave". Charlotte said that Penelope is a knave if and only if Evelyn is a knight. David commented, "Ethan is a knight if and only if Evelyn is a knight". According to Ethan, "Mason is a knight if and only if Ethan is a knight". So who is a knight and who is a knave?

Sofia Mason Penelope Evelyn Charlotte David Ethan

Sofia is a knight, Mason is a knight, Penelope is a knave, Evelyn is a knight, Charlotte is a knight, David is a knave, and Ethan is a knave.

(1) Sofia is a knight
(2) Mason is a knight
(3) Penelope is a knave
(4) Evelyn is a knight
(5) Charlotte is a knight
(6) David is a knave
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lucas, Zoey, Oliver, Charlotte, Victoria, and Benjamin. Joseph said, "Victoria is not a knight." Lucas stated, "Victoria is a knight". Zoey noted, "Lucas is not a knight". "Victoria is a knight and Lucas is a knight," Oliver mentioned. Charlotte said, "Benjamin is not a knave." Victoria was heard saying, "If Zoey is a knave then Joseph is a knave". Benjamin said, "Joseph is a knight if and only if Victoria is a knight." So who is a knight and who is a knave?

Joseph Lucas Zoey Oliver Charlotte Victoria Benjamin

Joseph is a knave, Lucas is a knight, Zoey is a knave, Oliver is a knight, Charlotte is a knave, Victoria is a knight, and Benjamin is a knave.

(1) Joseph is a knave
(2) Lucas is a knight
(3) Zoey is a knave
(4) Oliver is a knight
(5) Charlotte is a knave
(6) Victoria is a knight
(7) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Benjamin is a knave. No contradiction is found in their false claim that Joseph is a knight if and only if Victoria 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: Mia, James, Avery, Ella, Sebastian, Sofia, and Liam. Mia stated, "Sofia is a knave or Liam is a knave". James remarked, "Avery is not a knave". In a statement by Avery: "Sebastian is a knave and Sebastian is a knight". In a statement by Ella: "Mia is a knight". Sebastian told you that Liam is a knight. Sofia asserted: "Liam is a knave and Avery is a knight". Liam was heard saying, "Sofia is a knave or James is a knave". So who is a knight and who is a knave?

Mia James Avery Ella Sebastian Sofia Liam

Mia is a knight, James is a knave, Avery is a knave, Ella is a knight, Sebastian is a knight, Sofia is a knave, and Liam is a knight.

(1) Mia is a knight
(2) James is a knave
(3) Avery is a knave
(4) Ella is a knight
(5) Sebastian is a knight
(6) Sofia is a knave
(7) Liam is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ella is a knight. No contradiction is found in their claim that Mia 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: Oliver, Elizabeth, Penelope, Jackson, Riley, Michael, and David. Oliver noted, "Oliver is a knight if and only if Elizabeth is a knave". "Riley is a knight or Oliver is a knight," Elizabeth mentioned. "Elizabeth is a knight if and only if Riley is a knight," Penelope declared. Jackson expressed that If Penelope is a knave then David is a knight. "Michael is not a knight," Riley claimed. As Michael put it, "Penelope is a knight". David asserted: "Jackson is a knight and Elizabeth is a knave". So who is a knight and who is a knave?

Oliver Elizabeth Penelope Jackson Riley Michael David

Oliver is a knave, Elizabeth is a knave, Penelope is a knight, Jackson is a knight, Riley is a knave, Michael is a knight, and David is a knight.

(1) Oliver is a knave
(2) Elizabeth is a knave
(3) Penelope is a knight
(4) Jackson is a knight
(5) Riley is a knave
(6) Michael is a knight
(7) David is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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