A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Luke, Matthew, Charlotte, Chloe, Sofia, and Jack. Alexander said that If Charlotte is a knave then Luke is a knight. Luke remarked, "Alexander is not a knave". "Chloe is a knave," Matthew mentioned. In Charlotte's words: "Jack is a knight and Chloe is a knave". Chloe noted, "Jack is a knave". Sofia remarked, "Chloe is a knave". Jack remarked, "Charlotte is a knave if and only if Chloe is a knight". So who is a knight and who is a knave?

Alexander Luke Matthew Charlotte Chloe Sofia Jack

Alexander is a knight, Luke is a knight, Matthew is a knight, Charlotte is a knight, Chloe is a knave, Sofia is a knight, and Jack is a knight.

(1) Alexander is a knight
(2) Luke is a knight
(3) Matthew is a knight
(4) Charlotte is a knight
(5) Chloe is a knave
(6) Sofia is a knight
(7) Jack is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Aiden, Jack, Liam, Charlotte, Owen, and Lily. "If Owen is a knight then Aiden is a knave," Victoria declared. As Aiden put it, "Jack is a knight and Jack is a knave". According to Jack, "Charlotte is a knave". "If Lily is a knave then Jack is a knight" - Liam. In Charlotte's words: "Jack is a knight or Lily is a knight". "Lily is not a knave" - Owen. Lily commented, "Aiden is not a knight". So who is a knight and who is a knave?

Victoria Aiden Jack Liam Charlotte Owen Lily

Victoria is a knight, Aiden is a knave, Jack is a knave, Liam is a knight, Charlotte is a knight, Owen is a knight, and Lily is a knight.

(1) Victoria is a knight
(2) Aiden is a knave
(3) Jack is a knave
(4) Liam is a knight
(5) Charlotte is a knight
(6) Owen is a knight
(7) Lily is a knight

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

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

Assume Owen 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 Aiden is not a knight.

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

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

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

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

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

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

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

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

Assume Liam is a knight. No contradiction is found in their claim that If Lily is a knave then Jack 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: Grace, Jackson, Elizabeth, Emily, Sophia, Evelyn, and Charlotte. Grace told you that Evelyn is a knight if and only if Evelyn is a knave. "If Emily is a knave then Grace is a knave," Jackson claimed. "Charlotte is a knave and Elizabeth is a knight," Elizabeth claimed. Emily noted, "Jackson is a knave if and only if Elizabeth is a knight". Sophia was heard saying, "Grace is a knave". Evelyn remarked, "Emily is not a knave". In a statement by Charlotte: "Emily is a knave or Elizabeth is a knight". So who is a knight and who is a knave?

Grace Jackson Elizabeth Emily Sophia Evelyn Charlotte

Grace is a knave, Jackson is a knight, Elizabeth is a knave, Emily is a knight, Sophia is a knight, Evelyn is a knight, and Charlotte is a knave.

(1) Grace is a knave
(2) Jackson is a knight
(3) Elizabeth is a knave
(4) Emily is a knight
(5) Sophia is a knight
(6) Evelyn is a knight
(7) Charlotte is a knave

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

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

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

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

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

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

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

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

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

Assume Sophia is a knight. No contradiction is found in their claim that Grace 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: Zoey, David, Owen, Avery, Evelyn, Grace, and Aiden. Zoey said, "Evelyn is a knight if and only if Avery is a knave." "Avery is a knight if and only if Avery is a knave," David declared. Owen was heard saying, "David is not a knight". As Avery put it, "If Owen is a knight then Evelyn is a knight". "Aiden is a knight if and only if Grace is a knave" - Evelyn. "Zoey is not a knight," Grace mentioned. In Aiden's words: "Grace is not a knight". So who is a knight and who is a knave?

Zoey David Owen Avery Evelyn Grace Aiden

Zoey is a knave, David is a knave, Owen is a knight, Avery is a knight, Evelyn is a knight, Grace is a knight, and Aiden is a knave.

(1) Zoey is a knave
(2) David is a knave
(3) Owen is a knight
(4) Avery is a knight
(5) Evelyn is a knight
(6) Grace is a knight
(7) Aiden is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume David is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery 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, Isabella, Luke, Elizabeth, Henry, Owen, and Charlotte. Emily told you that Elizabeth is a knave and Henry is a knight. "Owen is not a knight," Isabella mentioned. Luke was heard saying, "Isabella is a knave". "Owen is a knight or Charlotte is a knave," Elizabeth mentioned. According to Henry, "Owen is a knight or Charlotte is a knight". In a statement by Owen: "Emily is a knave or Luke is a knave". "Luke is not a knight," Charlotte mentioned. So who is a knight and who is a knave?

Emily Isabella Luke Elizabeth Henry Owen Charlotte

Emily is a knave, Isabella is a knave, Luke is a knight, Elizabeth is a knight, Henry is a knight, Owen is a knight, and Charlotte is a knave.

(1) Emily is a knave
(2) Isabella is a knave
(3) Luke is a knight
(4) Elizabeth is a knight
(5) Henry is a knight
(6) Owen is a knight
(7) Charlotte is a knave

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

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

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

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

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

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

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

Isabella 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 Isabella, so let us go back and reconsider Luke.

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

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

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

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

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that Owen is a knight or Charlotte 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, Benjamin, David, Jacob, Liam, Ava, and Penelope. "Ava is a knave if and only if Liam is a knave," Lucas declared. In a statement by Benjamin: "Benjamin is a knight and Jacob is a knight". David remarked, "Liam is a knight". "If David is a knight then Liam is a knave" - Jacob. In a statement by Liam: "Ava is a knight". Ava noted, "Benjamin is a knight". Penelope said, "Benjamin is a knave." So who is a knight and who is a knave?

Lucas Benjamin David Jacob Liam Ava Penelope

Lucas is a knight, Benjamin is a knave, David is a knave, Jacob is a knight, Liam is a knave, Ava is a knave, and Penelope is a knight.

(1) Lucas is a knight
(2) Benjamin is a knave
(3) David is a knave
(4) Jacob is a knight
(5) Liam is a knave
(6) Ava is a knave
(7) Penelope is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knight. No contradiction is found in their claim that 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: Scarlett, Emily, Avery, Abigail, Sofia, Chloe, and Ella. "Chloe is a knight," Scarlett mentioned. "Ella is a knave," Emily claimed. Avery said that Emily is a knight if and only if Emily is a knave. Abigail was heard saying, "Scarlett is a knight or Emily is a knave". "Scarlett is a knight" - Sofia. Chloe remarked, "Chloe is a knight and Emily is a knave". Ella expressed that Emily is a knave and Emily is a knight. So who is a knight and who is a knave?

Scarlett Emily Avery Abigail Sofia Chloe Ella

Scarlett is a knave, Emily is a knight, Avery is a knave, Abigail is a knave, Sofia is a knave, Chloe is a knave, and Ella is a knave.

(1) Scarlett is a knave
(2) Emily is a knight
(3) Avery is a knave
(4) Abigail is a knave
(5) Sofia is a knave
(6) Chloe is a knave
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily 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 Emily that Ella is a knave.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Amelia, Charlotte, Scarlett, Daniel, David, and Grace. Ava said, "Grace is a knight or Amelia is a knave." Amelia expressed that Daniel is a knave or Grace is a knave. Charlotte stated, "If David is a knave then Grace is a knave". Scarlett remarked, "If Ava is a knave then Daniel is a knight". As Daniel put it, "David is a knight if and only if Grace is a knight". David was heard saying, "Daniel is a knight". Grace noted, "David is not a knight". So who is a knight and who is a knave?

Ava Amelia Charlotte Scarlett Daniel David Grace

Ava is a knight, Amelia is a knight, Charlotte is a knave, Scarlett is a knight, Daniel is a knave, David is a knave, and Grace is a knight.

(1) Ava is a knight
(2) Amelia is a knight
(3) Charlotte is a knave
(4) Scarlett is a knight
(5) Daniel is a knave
(6) David is a knave
(7) Grace is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Abigail, Emma, David, Mason, Victoria, and Daniel. Mia expressed that If Mason is a knave then Abigail is a knave. Abigail asserted: "Daniel is not a knight". "Victoria is a knight if and only if Emma is a knight," Emma declared. As David put it, "Abigail is not a knight". Mason said, "David is a knight and Victoria is a knave." Victoria expressed that Emma is a knight. Daniel told you that If Mason is a knight then Victoria is a knave. So who is a knight and who is a knave?

Mia Abigail Emma David Mason Victoria Daniel

Mia is a knight, Abigail is a knave, Emma is a knight, David is a knight, Mason is a knave, Victoria is a knight, and Daniel is a knight.

(1) Mia is a knight
(2) Abigail is a knave
(3) Emma is a knight
(4) David is a knight
(5) Mason is a knave
(6) Victoria is a knight
(7) Daniel is a knight

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

Assume Mason is a knight. No contradiction is found in their claim that David is a knight and Victoria is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Alexander, Michael, Jack, Emma, Abigail, and Penelope. "Alexander is a knight" - Ava. In a statement by Alexander: "Penelope is a knight or Alexander is a knight". Michael told you that If Penelope is a knave then Penelope is a knight. According to Jack, "Emma is a knave and Penelope is a knave". Emma told you that Ava is a knave if and only if Emma is a knight. Abigail asserted: "Emma is a knight". Penelope said that Abigail is not a knave. So who is a knight and who is a knave?

Ava Alexander Michael Jack Emma Abigail Penelope

Ava is a knave, Alexander is a knave, Michael is a knave, Jack is a knight, Emma is a knave, Abigail is a knave, and Penelope is a knave.

(1) Ava is a knave
(2) Alexander is a knave
(3) Michael is a knave
(4) Jack is a knight
(5) Emma is a knave
(6) Abigail is a knave
(7) Penelope is a knave

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

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

Assume Penelope 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 Emma is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Emma, Penelope, Daniel, Evelyn, Michael, and Charlotte. "Penelope is not a knave," Aurora declared. In a statement by Emma: "Evelyn is a knight or Penelope is a knight". In Penelope's words: "Emma is a knave and Charlotte is a knight". "Michael is a knight if and only if Michael is a knave" - Daniel. In a statement by Evelyn: "Daniel is a knave". Michael stated, "Charlotte is not a knave". Charlotte expressed that Penelope is not a knight. So who is a knight and who is a knave?

Aurora Emma Penelope Daniel Evelyn Michael Charlotte

Aurora is a knave, Emma is a knight, Penelope is a knave, Daniel is a knave, Evelyn is a knight, Michael is a knight, and Charlotte is a knight.

(1) Aurora is a knave
(2) Emma is a knight
(3) Penelope is a knave
(4) Daniel is a knave
(5) Evelyn is a knight
(6) Michael is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knight. No contradiction is found in their claim that Penelope 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: William, Olivia, Victoria, Aiden, Harper, Amelia, and Ava. William expressed that Ava is a knave. "Aiden is a knave or Amelia is a knave" - Olivia. Victoria told you that William is a knight or Olivia is a knave. "Amelia is a knave or Amelia is a knight" - Aiden. In a statement by Harper: "Victoria is a knight if and only if Olivia is a knight". "Ava is a knight and Harper is a knave," Amelia declared. Ava said that Aiden is a knight. So who is a knight and who is a knave?

William Olivia Victoria Aiden Harper Amelia Ava

William is a knave, Olivia is a knave, Victoria is a knight, Aiden is a knight, Harper is a knave, Amelia is a knight, and Ava is a knight.

(1) William is a knave
(2) Olivia is a knave
(3) Victoria is a knight
(4) Aiden is a knight
(5) Harper is a knave
(6) Amelia is a knight
(7) Ava is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that Aiden is a knave or Amelia is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Lily, Emma, Samuel, James, Sebastian, and Zoey. Alexander was heard saying, "If Emma is a knave then Sebastian is a knave". In a statement by Lily: "Sebastian is a knight if and only if Emma is a knight". "Samuel is a knave or Samuel is a knight," Emma declared. "Zoey is not a knave," Samuel claimed. James noted, "If Emma is a knight then Lily is a knight". Sebastian expressed that Zoey is a knight. Zoey expressed that Alexander is not a knight. So who is a knight and who is a knave?

Alexander Lily Emma Samuel James Sebastian Zoey

Alexander is a knight, Lily is a knave, Emma is a knight, Samuel is a knave, James is a knave, Sebastian is a knave, and Zoey is a knave.

(1) Alexander is a knight
(2) Lily is a knave
(3) Emma is a knight
(4) Samuel is a knave
(5) James is a knave
(6) Sebastian is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knave. No contradiction is found in their false claim that If Emma is a knight then Lily 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: Benjamin, Victoria, Jackson, Riley, Elizabeth, Aria, and Owen. Benjamin asserted: "Victoria is a knight". Victoria asserted: "Benjamin is a knave or Elizabeth is a knight". As Jackson put it, "Owen is not a knave". Riley commented, "Elizabeth is a knight or Victoria is a knave". Elizabeth commented, "Elizabeth is a knight or Aria is a knave". In Aria's words: "Riley is a knight". Owen said, "Owen is a knight or Aria is a knight." So who is a knight and who is a knave?

Benjamin Victoria Jackson Riley Elizabeth Aria Owen

Benjamin is a knight, Victoria is a knight, Jackson is a knight, Riley is a knight, Elizabeth is a knight, Aria is a knight, and Owen is a knight.

(1) Benjamin is a knight
(2) Victoria is a knight
(3) Jackson is a knight
(4) Riley is a knight
(5) Elizabeth is a knight
(6) Aria is a knight
(7) Owen is a knight

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

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

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

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

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

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

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

(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('lying', 6)), ('or', ('telling-truth', 4), ('lying', 1)), ('or', ('telling-truth', 4), ('lying', 5)), ('telling-truth', 3), ('or', ('telling-truth', 6), ('telling-truth', 5)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Sofia, Noah, Riley, Elizabeth, Ethan, and Aiden. Logan said that Noah is a knight and Noah is a knave. Sofia noted, "Ethan is a knight and Elizabeth is a knight". "Logan is a knight and Noah is a knight," Noah claimed. Riley stated, "Aiden is a knight or Ethan is a knave". Elizabeth was heard saying, "Noah is a knave if and only if Logan is a knight". In a statement by Ethan: "Ethan is a knight". Aiden stated, "Ethan is a knave if and only if Riley is a knight". So who is a knight and who is a knave?

Logan Sofia Noah Riley Elizabeth Ethan Aiden

Logan is a knave, Sofia is a knave, Noah is a knave, Riley is a knight, Elizabeth is a knave, Ethan is a knave, and Aiden is a knight.

(1) Logan is a knave
(2) Sofia is a knave
(3) Noah is a knave
(4) Riley is a knight
(5) Elizabeth is a knave
(6) Ethan is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 2), ('lying', 2)), ('and', ('telling-truth', 5), ('telling-truth', 4)), ('and', ('telling-truth', 0), ('telling-truth', 2)), ('or', ('telling-truth', 6), ('lying', 5)), ('<=>', ('lying', 2), ('telling-truth', 0)), ('telling-truth', 5), ('<=>', ('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: Aria, James, Grace, Evelyn, Lily, Alexander, and Owen. "Lily is a knight and James is a knave," Aria claimed. According to James, "James is a knight and Lily is a knight". Grace remarked, "If Owen is a knave then James is a knave". Evelyn asserted: "If Grace is a knave then Owen is a knight". Lily expressed that If James is a knave then Owen is a knave. "If James is a knight then Grace is a knave," Alexander declared. Owen commented, "Alexander is not a knave". So who is a knight and who is a knave?

Aria James Grace Evelyn Lily Alexander Owen

Aria is a knave, James is a knave, Grace is a knight, Evelyn is a knight, Lily is a knave, Alexander is a knight, and Owen is a knight.

(1) Aria is a knave
(2) James is a knave
(3) Grace is a knight
(4) Evelyn is a knight
(5) Lily is a knave
(6) Alexander is a knight
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lucas, Grace, Owen, Riley, Alexander, and Sofia. As Joseph put it, "Owen is not a knave". As Lucas put it, "If Owen is a knight then Sofia is a knave". In Grace's words: "Owen is a knight or Sofia is a knave". Owen remarked, "Owen is a knight if and only if Alexander is a knave". Riley stated, "Riley is a knight and Alexander is a knight". In a statement by Alexander: "Alexander is a knight". Sofia was heard saying, "Grace is a knight or Alexander is a knight". So who is a knight and who is a knave?

Joseph Lucas Grace Owen Riley Alexander Sofia

Joseph is a knight, Lucas is a knave, Grace is a knight, Owen is a knight, Riley is a knave, Alexander is a knave, and Sofia is a knight.

(1) Joseph is a knight
(2) Lucas is a knave
(3) Grace is a knight
(4) Owen is a knight
(5) Riley is a knave
(6) Alexander is a knave
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Chloe, Aurora, Henry, Ella, Victoria, and Oliver. As Alexander put it, "Aurora is a knave if and only if Oliver is a knight". Chloe stated, "Aurora is not a knight". In a statement by Aurora: "Victoria is a knight". "Ella is a knave and Victoria is a knight," Henry claimed. "Victoria is not a knave," Ella claimed. Victoria stated, "Ella is a knave or Aurora is a knight". In a statement by Oliver: "Oliver is a knight or Henry is a knave". So who is a knight and who is a knave?

Alexander Chloe Aurora Henry Ella Victoria Oliver

Alexander is a knave, Chloe is a knave, Aurora is a knight, Henry is a knave, Ella is a knight, Victoria is a knight, and Oliver is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Aurora 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: Avery, Sebastian, Harper, David, Benjamin, Liam, and Sophia. "Benjamin is a knave," Avery declared. Sebastian noted, "Avery is a knave or Benjamin is a knave". Harper asserted: "Benjamin is a knave and Liam is a knight". David remarked, "If Avery is a knave then Liam is a knave". "Avery is a knave if and only if Harper is a knave" - Benjamin. Liam noted, "Sebastian is a knight". "If Avery is a knave then David is a knave," Sophia declared. So who is a knight and who is a knave?

Avery Sebastian Harper David Benjamin Liam Sophia

Avery is a knave, Sebastian is a knight, Harper is a knave, David is a knave, Benjamin is a knight, Liam is a knight, and Sophia is a knight.

(1) Avery is a knave
(2) Sebastian is a knight
(3) Harper is a knave
(4) David is a knave
(5) Benjamin is a knight
(6) Liam is a knight
(7) Sophia is a knight

Assume Avery 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 Avery that Benjamin is a knave.

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

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

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

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

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

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

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

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

Assume Avery 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 Avery is a knave if and only if Harper is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jacob, James, Liam, Harper, Emma, and Grace. Daniel said, "Grace is not a knight." "Grace is a knight," Jacob claimed. According to James, "Daniel is a knave". Liam said that Daniel is a knave if and only if Emma is a knight. Harper remarked, "If Liam is a knight then Daniel is a knave". Emma told you that Harper is a knave. "If Emma is a knave then Liam is a knave," Grace mentioned. So who is a knight and who is a knave?

Daniel Jacob James Liam Harper Emma Grace

Daniel is a knave, Jacob is a knight, James is a knight, Liam is a knave, Harper is a knight, Emma is a knave, and Grace is a knight.

(1) Daniel is a knave
(2) Jacob is a knight
(3) James is a knight
(4) Liam is a knave
(5) Harper is a knight
(6) Emma is a knave
(7) Grace is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Jacob, Daniel, Jackson, Sophia, Owen, and Sebastian. Abigail commented, "Sebastian is not a knight". Jacob asserted: "Owen is a knight and Sophia is a knight". Daniel noted, "Owen is a knave and Abigail is a knave". Jackson was heard saying, "If Daniel is a knave then Jacob is a knight". Sophia noted, "If Sophia is a knight then Daniel is a knight". Owen remarked, "Abigail is a knave if and only if Abigail is a knight". Sebastian expressed that Abigail is not a knight. So who is a knight and who is a knave?

Abigail Jacob Daniel Jackson Sophia Owen Sebastian

Abigail is a knave, Jacob is a knave, Daniel is a knight, Jackson is a knight, Sophia is a knight, Owen is a knave, and Sebastian is a knight.

(1) Abigail is a knave
(2) Jacob is a knave
(3) Daniel is a knight
(4) Jackson is a knight
(5) Sophia is a knight
(6) Owen is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jackson is a knight. No contradiction is found in their claim that If Daniel 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: Isabella, Olivia, Emily, Noah, Aria, Emma, and Scarlett. Isabella asserted: "Noah is a knave and Scarlett is a knight". Olivia said, "Isabella is a knight or Emma is a knight." Emily stated, "Olivia is a knave if and only if Scarlett is a knight". In a statement by Noah: "If Aria is a knave then Isabella is a knight". In Aria's words: "Olivia is a knight and Scarlett is a knave". Emma told you that Noah is a knave if and only if Aria is a knight. Scarlett said, "Noah is a knight or Isabella is a knight." So who is a knight and who is a knave?

Isabella Olivia Emily Noah Aria Emma Scarlett

Isabella is a knave, Olivia is a knave, Emily is a knave, Noah is a knave, Aria is a knave, Emma is a knave, and Scarlett is a knave.

(1) Isabella is a knave
(2) Olivia is a knave
(3) Emily is a knave
(4) Noah is a knave
(5) Aria is a knave
(6) Emma is a knave
(7) Scarlett is a knave

Assume Isabella is a knight. No contradiction is found in their claim that Noah is a knave and Scarlett is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, William, Michael, Amelia, Logan, Emma, and Daniel. Liam stated, "If William is a knight then Liam is a knight". "If Emma is a knave then Amelia is a knight," William mentioned. Michael told you that Emma is not a knave. Amelia stated, "Liam is a knight or Daniel is a knave". Logan remarked, "Amelia is a knight and Emma is a knight". In a statement by Emma: "Amelia is a knave if and only if Amelia is a knight". Daniel noted, "If Emma is a knight then Daniel is a knight". So who is a knight and who is a knave?

Liam William Michael Amelia Logan Emma Daniel

Liam is a knight, William is a knight, Michael is a knave, Amelia is a knight, Logan is a knave, Emma is a knave, and Daniel is a knight.

(1) Liam is a knight
(2) William is a knight
(3) Michael is a knave
(4) Amelia is a knight
(5) Logan is a knave
(6) Emma is a knave
(7) Daniel is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Matthew, Mia, William, Isabella, Avery, and Chloe. "William is not a knight" - Oliver. "Mia is not a knave," Matthew claimed. Mia said, "Avery is not a knave." William expressed that If Mia is a knight then Avery is a knight. "Mia is a knight or Matthew is a knight" - Isabella. Avery asserted: "Matthew is a knight and Mia is a knave". Chloe was heard saying, "Mia is a knight if and only if Matthew is a knave". So who is a knight and who is a knave?

Oliver Matthew Mia William Isabella Avery Chloe

Oliver is a knave, Matthew is a knave, Mia is a knave, William is a knight, Isabella is a knave, Avery is a knave, and Chloe is a knave.

(1) Oliver is a knave
(2) Matthew is a knave
(3) Mia is a knave
(4) William is a knight
(5) Isabella is a knave
(6) Avery is a knave
(7) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that If Mia is a knight then Avery is a knight.

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

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

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

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

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

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

Isabella cannot be a knight, because this would contradict the claim of their own that Mia is a knight or Matthew is a knight.

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Mia is a knight if and only if Matthew 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: Riley, Chloe, Olivia, Scarlett, Oliver, Samuel, and Michael. Riley said that Chloe is a knave if and only if Olivia is a knight. Chloe said that Samuel is a knight if and only if Michael is a knight. According to Olivia, "If Chloe is a knave then Oliver is a knave". Scarlett was heard saying, "Olivia is not a knave". "Olivia is a knight or Riley is a knight," Oliver declared. "Scarlett is a knave," Samuel mentioned. "Olivia is a knight if and only if Scarlett is a knave" - Michael. So who is a knight and who is a knave?

Riley Chloe Olivia Scarlett Oliver Samuel Michael

Riley is a knave, Chloe is a knight, Olivia is a knight, Scarlett is a knight, Oliver is a knight, Samuel is a knave, and Michael is a knave.

(1) Riley is a knave
(2) Chloe is a knight
(3) Olivia is a knight
(4) Scarlett is a knight
(5) Oliver is a knight
(6) Samuel is a knave
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Aiden, William, Samuel, Amelia, Sebastian, and Sophia. Mason was heard saying, "Amelia is a knave or Samuel is a knave". Aiden was heard saying, "Samuel is a knight if and only if Amelia is a knave". William said, "Aiden is a knight." Samuel was heard saying, "If Mason is a knave then William is a knight". Amelia stated, "Mason is not a knight". In a statement by Sebastian: "Mason is a knave if and only if William is a knight". In a statement by Sophia: "If Mason is a knight then Sebastian is a knave". So who is a knight and who is a knave?

Mason Aiden William Samuel Amelia Sebastian Sophia

Mason is a knight, Aiden is a knight, William is a knight, Samuel is a knight, Amelia is a knave, Sebastian is a knave, and Sophia is a knight.

(1) Mason is a knight
(2) Aiden is a knight
(3) William is a knight
(4) Samuel is a knight
(5) Amelia is a knave
(6) Sebastian is a knave
(7) Sophia is a knight

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

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

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

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

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

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

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

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

Assume Sophia is a knight. No contradiction is found in their claim that If Mason is a knight then 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: Emma, Penelope, Matthew, Evelyn, Samuel, Daniel, and Lucas. As Emma put it, "If Penelope is a knight then Samuel is a knight". Penelope said that Daniel is a knight and Lucas is a knave. According to Matthew, "Evelyn is a knave or Penelope is a knight". According to Evelyn, "Evelyn is a knight if and only if Emma is a knight". In a statement by Samuel: "Lucas is a knave if and only if Emma is a knight". Daniel asserted: "If Matthew is a knight then Evelyn is a knave". As Lucas put it, "Matthew is a knight". So who is a knight and who is a knave?

Emma Penelope Matthew Evelyn Samuel Daniel Lucas

Emma is a knight, Penelope is a knave, Matthew is a knight, Evelyn is a knave, Samuel is a knave, Daniel is a knight, and Lucas is a knight.

(1) Emma is a knight
(2) Penelope is a knave
(3) Matthew is a knight
(4) Evelyn is a knave
(5) Samuel is a knave
(6) Daniel is a knight
(7) Lucas is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Isabella, Jack, Matthew, Jackson, Sebastian, and Aiden. Grace was heard saying, "Sebastian is a knight". Isabella noted, "Aiden is a knave if and only if Grace is a knight". Jack said that Aiden is a knave. As Matthew put it, "If Grace is a knight then Sebastian is a knight". "Aiden is a knight or Jack is a knight," Jackson declared. "Jackson is a knight or Sebastian is a knight," Sebastian declared. According to Aiden, "Jackson is not a knight". So who is a knight and who is a knave?

Grace Isabella Jack Matthew Jackson Sebastian Aiden

Grace is a knight, Isabella is a knight, Jack is a knight, Matthew is a knight, Jackson is a knight, Sebastian is a knight, and Aiden is a knave.

(1) Grace is a knight
(2) Isabella is a knight
(3) Jack is a knight
(4) Matthew is a knight
(5) Jackson is a knight
(6) Sebastian is a knight
(7) Aiden is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Liam, Abigail, Michael, William, and Penelope. Lily expressed that Liam is a knight or William is a knave. James remarked, "William is a knight". Liam was heard saying, "If James is a knave then William is a knave". According to Abigail, "If Penelope is a knave then Lily is a knight". In Michael's words: "Penelope is a knight or Lily is a knave". William was heard saying, "James is a knave and Penelope is a knave". Penelope was heard saying, "William is a knave". So who is a knight and who is a knave?

Lily James Liam Abigail Michael William Penelope

Lily is a knight, James is a knave, Liam is a knight, Abigail is a knight, Michael is a knight, William is a knave, and Penelope is a knight.

(1) Lily is a knight
(2) James is a knave
(3) Liam is a knight
(4) Abigail is a knight
(5) Michael is a knight
(6) William is a knave
(7) Penelope is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Penelope is a knight or 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: Aria, Jack, Logan, Benjamin, Penelope, Jackson, and Lucas. "Benjamin is a knave and Lucas is a knight," Aria mentioned. As Jack put it, "Aria is not a knave". Logan commented, "Aria is a knight or Lucas is a knight". As Benjamin put it, "Jack is a knight". "Penelope is a knight and Benjamin is a knight," Penelope mentioned. "Jack is a knight if and only if Aria is a knight," Jackson mentioned. Lucas noted, "Penelope is a knight and Logan is a knight". So who is a knight and who is a knave?

Aria Jack Logan Benjamin Penelope Jackson Lucas

Aria is a knave, Jack is a knave, Logan is a knave, Benjamin is a knave, Penelope is a knave, Jackson is a knight, and Lucas is a knave.

(1) Aria is a knave
(2) Jack is a knave
(3) Logan is a knave
(4) Benjamin is a knave
(5) Penelope is a knave
(6) Jackson is a knight
(7) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('lying', 3), ('telling-truth', 6)), ('not', ('lying', 0)), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Henry, Sebastian, Scarlett, Jack, Samuel, and Jackson. James was heard saying, "Henry is not a knave". "Jack is not a knave," Henry mentioned. In a statement by Sebastian: "James is a knave". Scarlett stated, "Henry is a knight and Samuel is a knave". According to Jack, "Samuel is a knave and Jackson is a knave". According to Samuel, "Henry is a knight". "If Henry is a knight then Samuel is a knight," Jackson claimed. So who is a knight and who is a knave?

James Henry Sebastian Scarlett Jack Samuel Jackson

James is a knave, Henry is a knave, Sebastian is a knight, Scarlett is a knave, Jack is a knave, Samuel is a knave, and Jackson is a knight.

(1) James is a knave
(2) Henry is a knave
(3) Sebastian is a knight
(4) Scarlett is a knave
(5) Jack is a knave
(6) Samuel is a knave
(7) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jack is a knave. No contradiction is found in their false claim that Samuel is a knave and Jackson is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Aurora, James, Michael, Matthew, Sophia, and Scarlett. Liam remarked, "James is a knave or James is a knight". According to Aurora, "James is a knight if and only if Michael is a knave". In a statement by James: "Michael is a knight if and only if Matthew is a knight". Michael said, "Sophia is a knight or Scarlett is a knight." "If Scarlett is a knave then Liam is a knight," Matthew mentioned. "Michael is a knave and James is a knight" - Sophia. Scarlett expressed that Sophia is a knave or Liam is a knave. So who is a knight and who is a knave?

Liam Aurora James Michael Matthew Sophia Scarlett

Liam is a knight, Aurora is a knave, James is a knight, Michael is a knight, Matthew is a knight, Sophia is a knave, and Scarlett is a knight.

(1) Liam is a knight
(2) Aurora is a knave
(3) James is a knight
(4) Michael is a knight
(5) Matthew is a knight
(6) Sophia is a knave
(7) Scarlett is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Jackson, Aria, Oliver, Olivia, Liam, and Henry. Emma asserted: "Henry is a knave". "Liam is a knave," Jackson declared. As Aria put it, "If Oliver is a knight then Liam is a knight". Oliver noted, "Henry is not a knave". Olivia said, "Olivia is a knight and Aria is a knight." Liam remarked, "Henry is a knave and Oliver is a knave". In Henry's words: "Olivia is a knave and Liam is a knight". So who is a knight and who is a knave?

Emma Jackson Aria Oliver Olivia Liam Henry

Emma is a knight, Jackson is a knave, Aria is a knight, Oliver is a knave, Olivia is a knight, Liam is a knight, and Henry is a knave.

(1) Emma is a knight
(2) Jackson is a knave
(3) Aria is a knight
(4) Oliver is a knave
(5) Olivia is a knight
(6) Liam is a knight
(7) Henry is a knave

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

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

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

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

Assume Aria is a knight. No contradiction is found in their claim that If Oliver is a knight then Liam is a knight.

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

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

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

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

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