A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Mia, David, Aiden, Emily, Owen, and Lily. "Lily is not a knight," Penelope mentioned. "Penelope is a knight and Owen is a knight," Mia declared. "Penelope is a knight," David claimed. Aiden said, "Emily is a knave if and only if Lily is a knave." In a statement by Emily: "Lily is a knave and Penelope is a knight". Owen stated, "Emily is a knight if and only if Lily is a knight". "Owen is a knave or Emily is a knave," Lily mentioned. So who is a knight and who is a knave?

Penelope Mia David Aiden Emily Owen Lily

Penelope is a knave, Mia is a knave, David is a knave, Aiden is a knave, Emily is a knave, Owen is a knave, and Lily is a knight.

(1) Penelope is a knave
(2) Mia is a knave
(3) David is a knave
(4) Aiden is a knave
(5) Emily is a knave
(6) Owen is a knave
(7) Lily is a knight

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

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

Assume Lily is a knave. No contradiction is found in their false claim that Owen is a knave or Emily is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knave. No contradiction is found in their false claim that Emily is a knave if and only if Lily 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: Noah, Charlotte, Matthew, Logan, Luke, Benjamin, and Aurora. According to Noah, "Luke is not a knave". As Charlotte put it, "If Logan is a knave then Benjamin is a knight". "Benjamin is not a knave," Matthew mentioned. "Matthew is a knight and Luke is a knight," Logan declared. Luke said, "Benjamin is not a knight." Benjamin noted, "Logan is a knight and Luke is a knight". Aurora stated, "Noah is a knave and Logan is a knave". So who is a knight and who is a knave?

Noah Charlotte Matthew Logan Luke Benjamin Aurora

Noah is a knight, Charlotte is a knave, Matthew is a knave, Logan is a knave, Luke is a knight, Benjamin is a knave, and Aurora is a knave.

(1) Noah is a knight
(2) Charlotte is a knave
(3) Matthew is a knave
(4) Logan is a knave
(5) Luke is a knight
(6) Benjamin is a knave
(7) Aurora is a knave

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

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

Assume Luke 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 Luke that Benjamin is not a knight.

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

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

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

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

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

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

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

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

Assume Aurora is a knave. No contradiction is found in their false claim that Noah is a knave and Logan 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, Aria, Lily, Logan, James, Ava, and Samuel. "Lily is a knight or Samuel is a knave," Harper claimed. Aria commented, "Lily is a knight". Lily stated, "If Ava is a knight then Logan is a knight". "Lily is a knight if and only if James is a knave" - Logan. James remarked, "Aria is a knight if and only if Lily is a knave". Ava expressed that Aria is a knave and Samuel is a knave. Samuel commented, "Logan is a knave". So who is a knight and who is a knave?

Harper is a knight, Aria is a knight, Lily is a knight, Logan is a knight, James is a knave, Ava is a knave, and Samuel is a knave.

(1) Harper is a knight
(2) Aria is a knight
(3) Lily is a knight
(4) Logan is a knight
(5) James is a knave
(6) Ava is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Lily 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: Jack, Grace, Sofia, Mason, Elizabeth, Michael, and David. "Jack is a knight if and only if Elizabeth is a knight," Jack mentioned. "David is a knight or Mason is a knight," Grace mentioned. "David is not a knave," Sofia claimed. Mason asserted: "David is a knave or Elizabeth is a knave". Elizabeth was heard saying, "David is a knave". In a statement by Michael: "Sofia is a knight if and only if Jack is a knave". "If Grace is a knight then Jack is a knight," David claimed. So who is a knight and who is a knave?

Jack Grace Sofia Mason Elizabeth Michael David

Jack is a knave, Grace is a knight, Sofia is a knave, Mason is a knight, Elizabeth is a knight, Michael is a knave, and David is a knave.

(1) Jack is a knave
(2) Grace is a knight
(3) Sofia is a knave
(4) Mason is a knight
(5) Elizabeth is a knight
(6) Michael is a knave
(7) David is a knave

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

Assume Elizabeth 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 Elizabeth that David is a knave.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Penelope, Logan, Matthew, Oliver, Riley, and Emma. Victoria told you that If Matthew is a knight then Logan is a knave. Penelope remarked, "Logan is a knight if and only if Oliver is a knave". "Riley is a knight if and only if Oliver is a knight," Logan claimed. "Victoria is a knave and Logan is a knave," Matthew claimed. "Logan is a knave or Victoria is a knave," Oliver mentioned. Riley was heard saying, "If Penelope is a knight then Oliver is a knave". As Emma put it, "Victoria is a knave and Victoria is a knight". So who is a knight and who is a knave?

Victoria Penelope Logan Matthew Oliver Riley Emma

Victoria is a knight, Penelope is a knight, Logan is a knave, Matthew is a knave, Oliver is a knight, Riley is a knave, and Emma is a knave.

(1) Victoria is a knight
(2) Penelope is a knight
(3) Logan is a knave
(4) Matthew is a knave
(5) Oliver is a knight
(6) Riley is a knave
(7) Emma is a knave

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Victoria is a knave and Logan is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Victoria is a knave and 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: Lucas, Penelope, James, Ella, Oliver, Riley, and Sophia. Lucas noted, "Ella is not a knight". "Riley is a knave or Penelope is a knight," Penelope claimed. James told you that Oliver is a knight if and only if Penelope is a knight. Ella said that Lucas is a knight or Penelope is a knave. In Oliver's words: "Penelope is a knight". In Riley's words: "Ella is not a knave". Sophia stated, "James is a knave". So who is a knight and who is a knave?

Lucas Penelope James Ella Oliver Riley Sophia

Lucas is a knave, Penelope is a knave, James is a knight, Ella is a knight, Oliver is a knave, Riley is a knight, and Sophia is a knave.

(1) Lucas is a knave
(2) Penelope is a knave
(3) James is a knight
(4) Ella is a knight
(5) Oliver is a knave
(6) Riley is a knight
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Mason, Samuel, Evelyn, Emily, James, and Owen. Noah said, "Samuel is a knight." Mason stated, "James is a knight". Samuel told you that Owen is a knight and Samuel is a knight. "Noah is not a knight," Evelyn mentioned. "Noah is a knave or Emily is a knight" - Emily. James told you that Evelyn is a knave if and only if Noah is a knave. Owen stated, "Evelyn is a knight". So who is a knight and who is a knave?

Noah Mason Samuel Evelyn Emily James Owen

Noah is a knave, Mason is a knave, Samuel is a knave, Evelyn is a knight, Emily is a knight, James is a knave, and Owen is a knight.

(1) Noah is a knave
(2) Mason is a knave
(3) Samuel is a knave
(4) Evelyn is a knight
(5) Emily is a knight
(6) James is a knave
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mason 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 Evelyn is a knave if and only if Noah is a knave.

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

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

Assume Mason 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 Mason that James is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Jackson, Jack, Liam, Henry, Lily, and Oliver. James asserted: "If Oliver is a knight then Jack is a knight". "Jackson is a knight if and only if Liam is a knave" - Jackson. "Lily is a knave," Jack claimed. Liam noted, "Lily is a knave". Henry noted, "If Jack is a knave then Lily is a knave". Lily told you that Jack is a knave if and only if Jackson is a knight. Oliver remarked, "Lily is not a knave". So who is a knight and who is a knave?

James Jackson Jack Liam Henry Lily Oliver

James is a knave, Jackson is a knight, Jack is a knave, Liam is a knave, Henry is a knave, Lily is a knight, and Oliver is a knight.

(1) James is a knave
(2) Jackson is a knight
(3) Jack is a knave
(4) Liam is a knave
(5) Henry is a knave
(6) Lily is a knight
(7) Oliver is a knight

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

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

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

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

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

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

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

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

Assume Oliver 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 Oliver that Lily is not a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that If Jack is a knave then Lily 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: Isabella, Emma, Mason, Lily, Evelyn, Liam, and Victoria. Isabella commented, "Evelyn is a knight and Emma is a knave". Emma said that If Evelyn is a knave then Mason is a knight. "If Liam is a knight then Victoria is a knave," Mason mentioned. According to Lily, "Liam is a knight or Mason is a knight". Evelyn said that Isabella is a knight or Mason is a knight. Liam asserted: "Lily is not a knave". Victoria asserted: "Emma is a knight if and only if Evelyn is a knave". So who is a knight and who is a knave?

Isabella Emma Mason Lily Evelyn Liam Victoria

Isabella is a knave, Emma is a knight, Mason is a knight, Lily is a knight, Evelyn is a knight, Liam is a knight, and Victoria is a knave.

(1) Isabella is a knave
(2) Emma is a knight
(3) Mason is a knight
(4) Lily is a knight
(5) Evelyn is a knight
(6) Liam is a knight
(7) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Liam 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 Liam that Lily is not a knave.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Isabella, James, Ella, Emma, Luke, and Sofia. In Lucas's words: "James is a knave if and only if Luke is a knave". In a statement by Isabella: "Luke is a knave and Luke is a knight". James remarked, "If Sofia is a knave then Lucas is a knave". Ella said that Isabella is a knight. Emma said, "Lucas is a knave and Luke is a knight." Luke asserted: "Lucas is a knight". As Sofia put it, "Ella is a knave if and only if Lucas is a knave". So who is a knight and who is a knave?

Lucas Isabella James Ella Emma Luke Sofia

Lucas is a knave, Isabella is a knave, James is a knight, Ella is a knave, Emma is a knave, Luke is a knave, and Sofia is a knight.

(1) Lucas is a knave
(2) Isabella is a knave
(3) James is a knight
(4) Ella is a knave
(5) Emma is a knave
(6) Luke is a knave
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Evelyn, Olivia, Oliver, Riley, Aria, and Liam. Charlotte commented, "If Olivia is a knave then Oliver is a knave". "Charlotte is a knight and Aria is a knave" - Evelyn. Olivia noted, "Liam is not a knight". Oliver was heard saying, "Oliver is a knight and Evelyn is a knight". Riley asserted: "Charlotte is a knave if and only if Olivia is a knave". "Riley is not a knave," Aria declared. In Liam's words: "Liam is a knight or Riley is a knight". So who is a knight and who is a knave?

Charlotte Evelyn Olivia Oliver Riley Aria Liam

Charlotte is a knight, Evelyn is a knight, Olivia is a knave, Oliver is a knave, Riley is a knave, Aria is a knave, and Liam is a knight.

(1) Charlotte is a knight
(2) Evelyn is a knight
(3) Olivia is a knave
(4) Oliver is a knave
(5) Riley is a knave
(6) Aria is a knave
(7) Liam is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that Riley 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: Emma, Samuel, Harper, Aria, Grace, Sophia, and Sebastian. Emma noted, "Samuel is a knave if and only if Sophia is a knave". "Sophia is a knave and Grace is a knight," Samuel declared. According to Harper, "If Emma is a knight then Grace is a knight". Aria noted, "Grace is a knave if and only if Sophia is a knave". "Emma is a knight and Emma is a knave," Grace mentioned. "Aria is a knight or Sebastian is a knight," Sophia declared. Sebastian asserted: "Grace is a knave". So who is a knight and who is a knave?

Emma Samuel Harper Aria Grace Sophia Sebastian

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Sophia is a knave and Grace is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Daniel, Aiden, Henry, Ella, Scarlett, and Elizabeth. "If Aiden is a knight then Ella is a knight," Emma claimed. Daniel commented, "Daniel is a knight if and only if Henry is a knight". Aiden stated, "If Daniel is a knight then Scarlett is a knave". Henry asserted: "Emma is a knave or Daniel is a knave". Ella stated, "Emma is a knave and Aiden is a knave". "Ella is a knave if and only if Daniel is a knight," Scarlett declared. Elizabeth stated, "Henry is a knight". So who is a knight and who is a knave?

Emma Daniel Aiden Henry Ella Scarlett Elizabeth

Emma is a knave, Daniel is a knave, Aiden is a knight, Henry is a knight, Ella is a knave, Scarlett is a knave, and Elizabeth is a knight.

(1) Emma is a knave
(2) Daniel is a knave
(3) Aiden is a knight
(4) Henry is a knight
(5) Ella is a knave
(6) Scarlett is a knave
(7) Elizabeth is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ella is a knave. No contradiction is found in their false claim that Emma is a knave and Aiden is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Avery, Penelope, Noah, Sebastian, Jacob, and Luke. In a statement by Aria: "Avery is a knave if and only if Penelope is a knave". Avery remarked, "Penelope is a knight". In a statement by Penelope: "Jacob is not a knight". Noah noted, "Luke is not a knight". In Sebastian's words: "Noah is a knight and Luke is a knave". Jacob noted, "Aria is a knave if and only if Sebastian is a knight". Luke noted, "If Noah is a knave then Jacob is a knight". So who is a knight and who is a knave?

Aria Avery Penelope Noah Sebastian Jacob Luke

Aria is a knight, Avery is a knave, Penelope is a knave, Noah is a knave, Sebastian is a knave, Jacob is a knight, and Luke is a knight.

(1) Aria is a knight
(2) Avery is a knave
(3) Penelope is a knave
(4) Noah is a knave
(5) Sebastian is a knave
(6) Jacob is a knight
(7) Luke is a knight

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

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 Jacob is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Elizabeth, Mia, Emily, Aria, Isabella, and Jacob. In a statement by Michael: "Aria is a knight or Isabella is a knight". In Elizabeth's words: "Michael is a knight and Emily is a knight". "Emily is not a knave" - Mia. Emily expressed that Isabella is a knave. "If Jacob is a knave then Isabella is a knight," Aria mentioned. "Aria is a knight or Elizabeth is a knave," Isabella claimed. Jacob stated, "If Aria is a knave then Michael is a knight". So who is a knight and who is a knave?

Michael Elizabeth Mia Emily Aria Isabella Jacob

Michael is a knight, Elizabeth is a knave, Mia is a knave, Emily is a knave, Aria is a knight, Isabella is a knight, and Jacob is a knight.

(1) Michael is a knight
(2) Elizabeth is a knave
(3) Mia is a knave
(4) Emily is a knave
(5) Aria is a knight
(6) Isabella is a knight
(7) Jacob is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Emily 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: Grace, Sebastian, Noah, Aurora, Abigail, Ava, and Riley. Grace expressed that Sebastian is a knave or Grace is a knight. Sebastian noted, "Grace is not a knave". Noah asserted: "Abigail is not a knave". Aurora asserted: "Riley is a knave or Riley is a knight". Abigail said that Aurora is a knight. "Grace is not a knave," Ava mentioned. Riley said, "Grace is a knave or Ava is a knight." So who is a knight and who is a knave?

Grace Sebastian Noah Aurora Abigail Ava Riley

Grace is a knight, Sebastian is a knight, Noah is a knight, Aurora is a knight, Abigail is a knight, Ava is a knight, and Riley is a knight.

(1) Grace is a knight
(2) Sebastian is a knight
(3) Noah is a knight
(4) Aurora is a knight
(5) Abigail is a knight
(6) Ava is a knight
(7) Riley is a knight

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

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

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

Assume Abigail 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 Riley is a knave or Riley is a knight.

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

Assume Ava is a knight. No contradiction is found in their claim that Grace 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: Charlotte, Aria, Zoey, Sebastian, Abigail, Alexander, and Samuel. Charlotte noted, "Sebastian is a knave and Abigail is a knight". "Alexander is a knight if and only if Sebastian is a knave," Aria mentioned. Zoey stated, "Abigail is not a knight". "Abigail is not a knight," Sebastian claimed. "Alexander is a knight if and only if Samuel is a knight," Abigail declared. Alexander asserted: "Zoey is a knight if and only if Zoey is a knave". Samuel commented, "Charlotte is a knave if and only if Zoey is a knave". So who is a knight and who is a knave?

Charlotte Aria Zoey Sebastian Abigail Alexander Samuel

Charlotte is a knight, Aria is a knave, Zoey is a knave, Sebastian is a knave, Abigail is a knight, Alexander is a knave, and Samuel is a knave.

(1) Charlotte is a knight
(2) Aria is a knave
(3) Zoey is a knave
(4) Sebastian is a knave
(5) Abigail is a knight
(6) Alexander is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Alexander, Amelia, Riley, Luke, Grace, and Abigail. Emily stated, "Emily is a knight or Abigail is a knave". "Riley is a knave or Amelia is a knight," Alexander mentioned. "Riley is a knave," Amelia claimed. Riley stated, "Emily is a knight or Amelia is a knave". In Luke's words: "Emily is a knave and Abigail is a knave". Grace remarked, "Grace is a knight and Luke is a knight". Abigail was heard saying, "If Grace is a knave then Grace is a knight". So who is a knight and who is a knave?

Emily Alexander Amelia Riley Luke Grace Abigail

Emily is a knight, Alexander is a knave, Amelia is a knave, Riley is a knight, Luke is a knave, Grace is a knave, and Abigail is a knave.

(1) Emily is a knight
(2) Alexander is a knave
(3) Amelia is a knave
(4) Riley is a knight
(5) Luke is a knave
(6) Grace is a knave
(7) Abigail is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Emily is a knave and Abigail is a knave.

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

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

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

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

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

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

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that 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: Abigail, David, Oliver, Victoria, Emily, Chloe, and Benjamin. Abigail remarked, "David is a knight". In David's words: "David is a knight if and only if Emily is a knave". "Abigail is a knave," Oliver declared. Victoria said, "Oliver is a knight if and only if Emily is a knave." Emily told you that Oliver is not a knight. Chloe asserted: "Oliver is a knight if and only if Emily is a knave". Benjamin expressed that Emily is a knave if and only if Abigail is a knight. So who is a knight and who is a knave?

Abigail David Oliver Victoria Emily Chloe Benjamin

Abigail is a knave, David is a knave, Oliver is a knight, Victoria is a knight, Emily is a knave, Chloe is a knight, and Benjamin is a knave.

(1) Abigail is a knave
(2) David is a knave
(3) Oliver is a knight
(4) Victoria is a knight
(5) Emily is a knave
(6) Chloe is a knight
(7) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Benjamin, Evelyn, Emma, David, Joseph, and Sebastian. Owen said, "David is a knave if and only if Sebastian is a knave." In Benjamin's words: "Sebastian is a knight and Emma is a knight". In a statement by Evelyn: "Owen is a knight or Joseph is a knave". "Owen is a knight or Joseph is a knight," Emma declared. David told you that Benjamin is a knave. According to Joseph, "Owen is not a knight". As Sebastian put it, "If Benjamin is a knave then Joseph is a knight". So who is a knight and who is a knave?

Owen Benjamin Evelyn Emma David Joseph Sebastian

Owen is a knave, Benjamin is a knight, Evelyn is a knave, Emma is a knight, David is a knave, Joseph is a knight, and Sebastian is a knight.

(1) Owen is a knave
(2) Benjamin is a knight
(3) Evelyn is a knave
(4) Emma is a knight
(5) David is a knave
(6) Joseph is a knight
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Mason, Joseph, Liam, Logan, Mia, and Elizabeth. "Joseph is a knight and Elizabeth is a knight," Noah mentioned. Mason said that Noah is a knave and Mia is a knave. Joseph expressed that Elizabeth is a knave and Logan is a knight. According to Liam, "Mia is a knight". Logan said that If Mason is a knave then Joseph is a knight. Mia said that Noah is a knave if and only if Logan is a knight. According to Elizabeth, "Liam is a knave and Mia is a knight". So who is a knight and who is a knave?

Noah Mason Joseph Liam Logan Mia Elizabeth

Noah is a knave, Mason is a knave, Joseph is a knight, Liam is a knight, Logan is a knight, Mia is a knight, and Elizabeth is a knave.

(1) Noah is a knave
(2) Mason is a knave
(3) Joseph is a knight
(4) Liam is a knight
(5) Logan is a knight
(6) Mia is a knight
(7) Elizabeth is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that Noah is a knave and Mia 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: Olivia, Charlotte, Aiden, Avery, Luke, Harper, and Sofia. In Olivia's words: "Sofia is a knave and Harper is a knight". Charlotte said that Sofia is a knave and Harper is a knave. In Aiden's words: "If Sofia is a knight then Charlotte is a knight". Avery asserted: "Olivia is not a knight". According to Luke, "Harper is a knight". Harper said that Avery is a knight or Aiden is a knight. Sofia said that Harper is a knave and Avery is a knight. So who is a knight and who is a knave?

Olivia Charlotte Aiden Avery Luke Harper Sofia

Olivia is a knight, Charlotte is a knave, Aiden is a knight, Avery is a knave, Luke is a knight, Harper is a knight, and Sofia is a knave.

(1) Olivia is a knight
(2) Charlotte is a knave
(3) Aiden is a knight
(4) Avery is a knave
(5) Luke is a knight
(6) Harper is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

(('and', ('lying', 6), ('telling-truth', 5)), ('and', ('lying', 6), ('lying', 5)), ('->', ('telling-truth', 6), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('telling-truth', 5), ('or', ('telling-truth', 3), ('telling-truth', 2)), ('and', ('lying', 5), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Sophia, Logan, Owen, Joseph, Aiden, and Matthew. Abigail said that Matthew is a knave or Logan is a knight. Sophia stated, "Owen is a knave if and only if Joseph is a knave". According to Logan, "Abigail is not a knave". "If Aiden is a knight then Matthew is a knight," Owen declared. Joseph said that Abigail is not a knight. Aiden was heard saying, "Owen is a knave". According to Matthew, "Joseph is a knave if and only if Sophia is a knight". So who is a knight and who is a knave?

Abigail Sophia Logan Owen Joseph Aiden Matthew

Abigail is a knight, Sophia is a knave, Logan is a knight, Owen is a knight, Joseph is a knave, Aiden is a knave, and Matthew is a knave.

(1) Abigail is a knight
(2) Sophia is a knave
(3) Logan is a knight
(4) Owen is a knight
(5) Joseph is a knave
(6) Aiden is a knave
(7) Matthew is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Logan is a knight. No contradiction is found in their claim that Abigail 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: Avery, Olivia, Liam, Jack, Penelope, Emily, and Benjamin. "If Olivia is a knave then Emily is a knight," Avery mentioned. Olivia remarked, "Liam is not a knave". Liam commented, "Olivia is a knight and Jack is a knight". Jack told you that Benjamin is a knight and Liam is a knave. Penelope stated, "Jack is not a knight". Emily noted, "Avery is a knave or Liam is a knave". "Avery is a knight or Penelope is a knight," Benjamin mentioned. So who is a knight and who is a knave?

Avery Olivia Liam Jack Penelope Emily Benjamin

Avery is a knight, Olivia is a knave, Liam is a knave, Jack is a knight, Penelope is a knave, Emily is a knight, and Benjamin is a knight.

(1) Avery is a knight
(2) Olivia is a knave
(3) Liam is a knave
(4) Jack is a knight
(5) Penelope is a knave
(6) Emily is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily is a knight. No contradiction is found in their claim that Avery is a knave or Liam 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: Luke, Lucas, Evelyn, Samuel, Chloe, Jacob, and Liam. Luke said that Chloe is a knight and Samuel is a knave. Lucas expressed that Liam is not a knave. Evelyn commented, "Jacob is a knave or Jacob is a knight". Samuel asserted: "If Chloe is a knight then Evelyn is a knight". Chloe remarked, "Luke is a knight". According to Jacob, "Samuel is a knave and Samuel is a knight". "Chloe is a knave and Chloe is a knight," Liam declared. So who is a knight and who is a knave?

Luke Lucas Evelyn Samuel Chloe Jacob Liam

Luke is a knave, Lucas is a knave, Evelyn is a knight, Samuel is a knight, Chloe is a knave, Jacob is a knave, and Liam is a knave.

(1) Luke is a knave
(2) Lucas is a knave
(3) Evelyn is a knight
(4) Samuel is a knight
(5) Chloe is a knave
(6) Jacob is a knave
(7) Liam is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Evelyn, James, Lucas, Jackson, Grace, and Emma. As Avery put it, "Evelyn is not a knave". Evelyn told you that Jackson is a knave if and only if Jackson is a knight. James commented, "Avery is a knave if and only if Jackson is a knight". Lucas commented, "Jackson is not a knight". Jackson was heard saying, "James is a knave or Emma is a knight". "Emma is a knave or Avery is a knave," Grace mentioned. Emma remarked, "Avery is a knave and Grace is a knight". So who is a knight and who is a knave?

Avery Evelyn James Lucas Jackson Grace Emma

Avery is a knave, Evelyn is a knave, James is a knight, Lucas is a knave, Jackson is a knight, Grace is a knight, and Emma is a knight.

(1) Avery is a knave
(2) Evelyn is a knave
(3) James is a knight
(4) Lucas is a knave
(5) Jackson is a knight
(6) Grace is a knight
(7) Emma is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Lucas is a knave. No contradiction is found in their false claim that Jackson 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: Benjamin, Ava, Samuel, Alexander, Amelia, Mason, and Jacob. "Amelia is a knave," Benjamin claimed. According to Ava, "Alexander is a knave if and only if Samuel is a knight". Samuel asserted: "If Ava is a knave then Mason is a knight". Alexander stated, "Samuel is not a knight". As Amelia put it, "Jacob is a knave and Samuel is a knave". According to Mason, "If Amelia is a knave then Benjamin is a knave". "Ava is a knave if and only if Ava is a knight," Jacob claimed. So who is a knight and who is a knave?

Benjamin Ava Samuel Alexander Amelia Mason Jacob

Benjamin is a knight, Ava is a knight, Samuel is a knight, Alexander is a knave, Amelia is a knave, Mason is a knave, and Jacob is a knave.

(1) Benjamin is a knight
(2) Ava is a knight
(3) Samuel is a knight
(4) Alexander is a knave
(5) Amelia is a knave
(6) Mason is a knave
(7) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that If Amelia is a knave then 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: Sebastian, Ella, Amelia, Zoey, Samuel, Ava, and Liam. In a statement by Sebastian: "Ella is a knave". "If Ava is a knave then Liam is a knave," Ella claimed. Amelia commented, "Liam is a knight". As Zoey put it, "Sebastian is a knight". Samuel remarked, "Ava is a knave if and only if Liam is a knave". Ava commented, "Sebastian is a knave". "Sebastian is not a knight," Liam declared. So who is a knight and who is a knave?

Sebastian Ella Amelia Zoey Samuel Ava Liam

Sebastian is a knave, Ella is a knight, Amelia is a knight, Zoey is a knave, Samuel is a knight, Ava is a knight, and Liam is a knight.

(1) Sebastian is a knave
(2) Ella is a knight
(3) Amelia is a knight
(4) Zoey is a knave
(5) Samuel is a knight
(6) Ava is a knight
(7) Liam is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that Ava is a knave if and only if Liam 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, Evelyn, William, Chloe, Mason, Joseph, and Elizabeth. As Sebastian put it, "Joseph is a knight and William is a knave". Evelyn said, "Chloe is a knave or Chloe is a knight." "Elizabeth is a knave," William declared. In Chloe's words: "Sebastian is not a knight". Mason remarked, "Elizabeth is a knight". Joseph expressed that Elizabeth is a knight and William is a knight. "Mason is a knight if and only if William is a knave," Elizabeth declared. So who is a knight and who is a knave?

Sebastian Evelyn William Chloe Mason Joseph Elizabeth

Sebastian is a knave, Evelyn is a knight, William is a knave, Chloe is a knight, Mason is a knight, Joseph is a knave, and Elizabeth is a knight.

(1) Sebastian is a knave
(2) Evelyn is a knight
(3) William is a knave
(4) Chloe is a knight
(5) Mason is a knight
(6) Joseph is a knave
(7) Elizabeth is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 5), ('lying', 2)), ('or', ('lying', 3), ('telling-truth', 3)), ('lying', 6), ('not', ('telling-truth', 0)), ('telling-truth', 6), ('and', ('telling-truth', 6), ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('lying', 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: Avery, Mason, Evelyn, Charlotte, Emma, Joseph, and Lucas. Avery expressed that Emma is a knight and Mason is a knave. Mason remarked, "Avery is a knave". "Charlotte is a knight and Mason is a knave," Evelyn claimed. Charlotte said, "Mason is not a knave." "Lucas is a knight or Charlotte is a knight," Emma mentioned. As Joseph put it, "Emma is a knight". Lucas remarked, "Charlotte is a knight if and only if Charlotte is a knave". So who is a knight and who is a knave?

Avery Mason Evelyn Charlotte Emma Joseph Lucas

Avery is a knave, Mason is a knight, Evelyn is a knave, Charlotte is a knight, Emma is a knight, Joseph is a knight, and Lucas is a knave.

(1) Avery is a knave
(2) Mason is a knight
(3) Evelyn is a knave
(4) Charlotte is a knight
(5) Emma is a knight
(6) Joseph is a knight
(7) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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