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, Matthew, David, Alexander, Ella, Penelope, and Jack. Abigail told you that David is a knave. Matthew noted, "Ella is a knave or Abigail is a knight". In David's words: "Ella is a knave and Alexander is a knave". Alexander commented, "Penelope is not a knight". "Matthew is a knave if and only if Abigail is a knave," Ella mentioned. Penelope told you that Abigail is not a knave. According to Jack, "Alexander is not a knave". So who is a knight and who is a knave?

Abigail Matthew David Alexander Ella Penelope Jack

Abigail is a knight, Matthew is a knight, David is a knave, Alexander is a knave, Ella is a knight, Penelope is a knight, and Jack is a knave.

(1) Abigail is a knight
(2) Matthew is a knight
(3) David is a knave
(4) Alexander is a knave
(5) Ella is a knight
(6) Penelope is a knight
(7) Jack is a knave

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

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

Assume David is a knave. No contradiction is found in their false claim that Ella is a knave and Alexander is a knave.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Luke, Matthew, Liam, Lucas, Lily, and Zoey. James said that Luke is a knight. Luke remarked, "Zoey is a knave if and only if Lily is a knave". "Liam is a knave if and only if James is a knave," Matthew mentioned. As Liam put it, "James is a knight". Lucas said that Matthew is a knight or Luke is a knave. Lily noted, "Liam is not a knave". According to Zoey, "If Luke is a knave then Luke is a knight". So who is a knight and who is a knave?

James is a knight, Luke is a knight, Matthew is a knight, Liam is a knight, Lucas is a knight, Lily is a knight, and Zoey is a knight.

(1) James is a knight
(2) Luke is a knight
(3) Matthew is a knight
(4) Liam is a knight
(5) Lucas is a knight
(6) Lily is a knight
(7) Zoey is a knight

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

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

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

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

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

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

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

Assume Lucas is a knight. No contradiction is found in their claim that Matthew is a knight or Luke 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: Aiden, Ava, Alexander, Sofia, Elizabeth, Benjamin, and Olivia. In Aiden's words: "Benjamin is a knight and Alexander is a knight". Ava stated, "If Sofia is a knight then Ava is a knight". In a statement by Alexander: "Olivia is a knave". Sofia commented, "If Aiden is a knave then Ava is a knight". Elizabeth told you that Ava is not a knave. In Benjamin's words: "Olivia is a knight or Ava is a knave". Olivia noted, "Ava is not a knight". So who is a knight and who is a knave?

Aiden Ava Alexander Sofia Elizabeth Benjamin Olivia

Aiden is a knave, Ava is a knight, Alexander is a knight, Sofia is a knight, Elizabeth is a knight, Benjamin is a knave, and Olivia is a knave.

(1) Aiden is a knave
(2) Ava is a knight
(3) Alexander is a knight
(4) Sofia is a knight
(5) Elizabeth is a knight
(6) Benjamin is a knave
(7) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Isabella, Sofia, Jack, David, Matthew, and Zoey. Aurora was heard saying, "Matthew is a knight and Jack is a knight". Isabella was heard saying, "Aurora is a knave". Sofia said, "Isabella is not a knight." As Jack put it, "Isabella is a knave and Aurora is a knight". David asserted: "Aurora is not a knave". Matthew asserted: "Zoey is a knave". Zoey stated, "David is a knave if and only if Matthew is a knight". So who is a knight and who is a knave?

Aurora Isabella Sofia Jack David Matthew Zoey

Aurora is a knight, Isabella is a knave, Sofia is a knight, Jack is a knight, David is a knight, Matthew is a knight, and Zoey is a knave.

(1) Aurora is a knight
(2) Isabella is a knave
(3) Sofia is a knight
(4) Jack is a knight
(5) David is a knight
(6) Matthew is a knight
(7) Zoey is a knave

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

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

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

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Isabella 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: Henry, Alexander, Aurora, Mason, Lily, Emma, and Luke. Henry said, "Alexander is a knave." Alexander told you that If Aurora is a knight then Luke is a knight. Aurora told you that Lily is not a knave. Mason stated, "Henry is a knave and Lily is a knight". "Emma is a knight if and only if Emma is a knave," Lily declared. Emma remarked, "Mason is a knight or Alexander is a knave". Luke told you that Alexander is a knight or Aurora is a knave. So who is a knight and who is a knave?

Henry Alexander Aurora Mason Lily Emma Luke

Henry is a knave, Alexander is a knight, Aurora is a knave, Mason is a knave, Lily is a knave, Emma is a knave, and Luke is a knight.

(1) Henry is a knave
(2) Alexander is a knight
(3) Aurora is a knave
(4) Mason is a knave
(5) Lily is a knave
(6) Emma is a knave
(7) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Luke is a knight. No contradiction is found in their claim that Alexander is a knight or Aurora 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: Ella, Mason, James, Grace, Victoria, Luke, and Ava. "Grace is not a knight" - Ella. Mason expressed that Ava is a knight if and only if Ella is a knave. James was heard saying, "If Ella is a knave then Mason is a knave". Grace remarked, "Ava is a knight and James is a knave". Victoria remarked, "James is a knight and Ava is a knight". Luke was heard saying, "James is a knave". Ava stated, "Luke is a knight if and only if Ava is a knight". So who is a knight and who is a knave?

Ella Mason James Grace Victoria Luke Ava

Ella is a knave, Mason is a knight, James is a knave, Grace is a knight, Victoria is a knave, Luke is a knight, and Ava is a knight.

(1) Ella is a knave
(2) Mason is a knight
(3) James is a knave
(4) Grace is a knight
(5) Victoria is a knave
(6) Luke is a knight
(7) Ava is a knight

Assume Ella 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 Ella that Grace is not a knight.

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

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

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

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

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

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

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

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

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

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

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

Assume Ella 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 Ava is a knight and James is a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Abigail, Luke, Ethan, Samuel, Daniel, and James. Liam commented, "Luke is a knight and James is a knave". "Daniel is a knave," Abigail claimed. "Abigail is a knave or Daniel is a knight," Luke mentioned. Ethan noted, "Samuel is a knight or Liam is a knight". In Samuel's words: "If Luke is a knight then Daniel is a knave". In a statement by Daniel: "Liam is not a knight". "Ethan is a knave," James mentioned. So who is a knight and who is a knave?

Liam Abigail Luke Ethan Samuel Daniel James

Liam is a knave, Abigail is a knave, Luke is a knight, Ethan is a knave, Samuel is a knave, Daniel is a knight, and James is a knight.

(1) Liam is a knave
(2) Abigail is a knave
(3) Luke is a knight
(4) Ethan is a knave
(5) Samuel is a knave
(6) Daniel is a knight
(7) James is a knight

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

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

Assume Abigail 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 Abigail that Daniel is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that If Luke is a knight then 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: Avery, Sebastian, Michael, Owen, Victoria, Elizabeth, and Sofia. Avery said that Owen is a knave or Michael is a knight. Sebastian commented, "Victoria is a knave and Sofia is a knight". Michael stated, "Owen is not a knave". "If Elizabeth is a knight then Sebastian is a knight" - Owen. "If Michael is a knight then Sebastian is a knight," Victoria mentioned. "Sebastian is a knave," Elizabeth claimed. Sofia expressed that If Victoria is a knave then Avery is a knight. So who is a knight and who is a knave?

Avery Sebastian Michael Owen Victoria Elizabeth Sofia

Avery is a knight, Sebastian is a knave, Michael is a knave, Owen is a knave, Victoria is a knight, Elizabeth is a knight, and Sofia is a knight.

(1) Avery is a knight
(2) Sebastian is a knave
(3) Michael is a knave
(4) Owen is a knave
(5) Victoria is a knight
(6) Elizabeth is a knight
(7) Sofia is a knight

Assume Avery is a knight. No contradiction is found in their claim that Owen is a knave or Michael is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Sebastian, Oliver, Victoria, Lily, Benjamin, and Luke. In Ethan's words: "Benjamin is a knight and Luke is a knight". Sebastian said, "If Oliver is a knight then Victoria is a knight." Oliver said that Sebastian is not a knight. Victoria remarked, "Oliver is a knave or Luke is a knight". According to Lily, "Ethan is a knave if and only if Victoria is a knave". "Ethan is a knave and Oliver is a knight," Benjamin mentioned. Luke was heard saying, "Sebastian is a knave and Victoria is a knave". So who is a knight and who is a knave?

Ethan Sebastian Oliver Victoria Lily Benjamin Luke

Ethan is a knave, Sebastian is a knight, Oliver is a knave, Victoria is a knight, Lily is a knave, Benjamin is a knave, and Luke is a knave.

(1) Ethan is a knave
(2) Sebastian is a knight
(3) Oliver is a knave
(4) Victoria is a knight
(5) Lily is a knave
(6) Benjamin is a knave
(7) Luke is a knave

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

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

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

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

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

Assume Benjamin is a knight. No contradiction is found in their claim that Ethan is a knave and Oliver is a knight.

Assume Oliver 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 Oliver that Sebastian is not a knight.

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

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

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

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

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

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

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

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

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

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

Assume Oliver 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 If Oliver is a knight then Victoria is a knight.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Zoey, Noah, Charlotte, Ava, Joseph, and Michael. Evelyn said, "If Joseph is a knave then Zoey is a knight." "Michael is a knight and Noah is a knave" - Zoey. Noah expressed that Zoey is a knight if and only if Michael is a knight. Charlotte said, "If Joseph is a knight then Evelyn is a knight." Ava commented, "Noah is a knight if and only if Michael is a knave". Joseph said, "Charlotte is a knave and Noah is a knave." "Noah is a knave," Michael declared. So who is a knight and who is a knave?

Evelyn Zoey Noah Charlotte Ava Joseph Michael

Evelyn is a knave, Zoey is a knave, Noah is a knight, Charlotte is a knight, Ava is a knight, Joseph is a knave, and Michael is a knave.

(1) Evelyn is a knave
(2) Zoey is a knave
(3) Noah is a knight
(4) Charlotte is a knight
(5) Ava is a knight
(6) Joseph is a knave
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that Michael is a knight and Noah is a knave.

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that Noah 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: Penelope, Emma, Daniel, Liam, Sophia, Aria, and Amelia. Penelope said, "If Sophia is a knave then Amelia is a knave." According to Emma, "Aria is a knave if and only if Liam is a knight". "If Sophia is a knight then Emma is a knave," Daniel mentioned. In a statement by Liam: "Emma is a knave if and only if Penelope is a knave". "Daniel is a knave," Sophia declared. "Sophia is a knight and Penelope is a knight," Aria claimed. "Emma is not a knight," Amelia declared. So who is a knight and who is a knave?

Penelope Emma Daniel Liam Sophia Aria Amelia

Penelope is a knight, Emma is a knight, Daniel is a knight, Liam is a knight, Sophia is a knave, Aria is a knave, and Amelia is a knave.

(1) Penelope is a knight
(2) Emma is a knight
(3) Daniel is a knight
(4) Liam is a knight
(5) Sophia is a knave
(6) Aria is a knave
(7) Amelia is a knave

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

Assume Sophia 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 Sophia that Daniel is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that Emma 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: Logan, Michael, Penelope, Emma, Joseph, Aria, and Ella. In Logan's words: "Aria is not a knight". In a statement by Michael: "If Logan is a knave then Michael is a knight". Penelope said that If Aria is a knight then Ella is a knave. Emma said, "Ella is a knight or Michael is a knave." In a statement by Joseph: "Penelope is a knave and Logan is a knight". Aria commented, "Michael is a knight". Ella stated, "Joseph is a knight if and only if Michael is a knight". So who is a knight and who is a knave?

Logan Michael Penelope Emma Joseph Aria Ella

Logan is a knave, Michael is a knight, Penelope is a knight, Emma is a knave, Joseph is a knave, Aria is a knight, and Ella is a knave.

(1) Logan is a knave
(2) Michael is a knight
(3) Penelope is a knight
(4) Emma is a knave
(5) Joseph is a knave
(6) Aria is a knight
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Ava, Sebastian, Zoey, Ella, Aurora, and Aiden. In Ethan's words: "Zoey is a knight and Aiden is a knight". Ava remarked, "Aurora is a knight if and only if Zoey is a knight". Sebastian was heard saying, "Ella is not a knight". Zoey stated, "If Aurora is a knave then Ethan is a knight". As Ella put it, "Ava is a knave and Zoey is a knight". Aurora said that If Zoey is a knight then Zoey is a knave. In Aiden's words: "Ethan is a knight". So who is a knight and who is a knave?

Ethan Ava Sebastian Zoey Ella Aurora Aiden

Ethan is a knight, Ava is a knave, Sebastian is a knave, Zoey is a knight, Ella is a knight, Aurora is a knave, and Aiden is a knight.

(1) Ethan is a knight
(2) Ava is a knave
(3) Sebastian is a knave
(4) Zoey is a knight
(5) Ella is a knight
(6) Aurora is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('not', ('telling-truth', 4)), ('->', ('lying', 5), ('telling-truth', 0)), ('and', ('lying', 1), ('telling-truth', 3)), ('->', ('telling-truth', 3), ('lying', 3)), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Jack, Aria, Mia, Daniel, Sophia, and Isabella. According to Jacob, "Isabella is a knave if and only if Jack is a knave". In a statement by Jack: "Mia is a knave". Aria asserted: "If Mia is a knight then Mia is a knave". In a statement by Mia: "Daniel is not a knave". In a statement by Daniel: "Jacob is a knight if and only if Mia is a knave". Sophia said, "If Isabella is a knight then Aria is a knave." In Isabella's words: "Jacob is a knight". So who is a knight and who is a knave?

Jacob Jack Aria Mia Daniel Sophia Isabella

Jacob is a knave, Jack is a knight, Aria is a knight, Mia is a knave, Daniel is a knave, Sophia is a knight, and Isabella is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Harper, Avery, Emily, Charlotte, Ethan, and Sophia. Michael remarked, "Harper is a knight". "Ethan is a knight if and only if Avery is a knight," Harper mentioned. Avery commented, "Charlotte is a knight or Charlotte is a knave". Emily commented, "Sophia is a knight". "Avery is a knave or Emily is a knave," Charlotte mentioned. "Emily is a knight if and only if Charlotte is a knave," Ethan declared. Sophia stated, "If Michael is a knave then Sophia is a knight". So who is a knight and who is a knave?

Michael Harper Avery Emily Charlotte Ethan Sophia

Michael is a knight, Harper is a knight, Avery is a knight, Emily is a knight, Charlotte is a knave, Ethan is a knight, and Sophia is a knight.

(1) Michael is a knight
(2) Harper is a knight
(3) Avery is a knight
(4) Emily is a knight
(5) Charlotte is a knave
(6) Ethan is a knight
(7) Sophia is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Logan, Ella, Elizabeth, Mia, Isabella, and Amelia. In Harper's words: "Mia is not a knave". In Logan's words: "If Harper is a knave then Mia is a knight". Ella stated, "Isabella is a knave and Amelia is a knave". Elizabeth asserted: "Isabella is a knave if and only if Logan is a knave". In Mia's words: "Isabella is a knave or Elizabeth is a knight". "Ella is a knave if and only if Harper is a knight," Isabella claimed. Amelia said that Elizabeth is a knave and Ella is a knight. So who is a knight and who is a knave?

Harper Logan Ella Elizabeth Mia Isabella Amelia

Harper is a knight, Logan is a knight, Ella is a knave, Elizabeth is a knight, Mia is a knight, Isabella is a knight, and Amelia is a knave.

(1) Harper is a knight
(2) Logan is a knight
(3) Ella is a knave
(4) Elizabeth is a knight
(5) Mia is a knight
(6) Isabella is a knight
(7) Amelia is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Owen, Michael, William, Sofia, Joseph, and Avery. According to Daniel, "Owen is a knight". "William is a knave and Joseph is a knave," Owen mentioned. Michael said, "Sofia is a knave if and only if Michael is a knight." According to William, "Owen is a knave and Avery is a knight". In a statement by Sofia: "Sofia is a knight or Joseph is a knave". Joseph told you that William is a knight if and only if Michael is a knave. "Joseph is a knight or Joseph is a knave," Avery mentioned. So who is a knight and who is a knave?

Daniel Owen Michael William Sofia Joseph Avery

Daniel is a knave, Owen is a knave, Michael is a knave, William is a knight, Sofia is a knave, Joseph is a knight, and Avery is a knight.

(1) Daniel is a knave
(2) Owen is a knave
(3) Michael is a knave
(4) William is a knight
(5) Sofia is a knave
(6) Joseph is a knight
(7) Avery is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that Owen is a knave and Avery is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Henry, Aurora, Abigail, William, Harper, and Mia. Isabella told you that Mia is not a knave. "William is a knave or Isabella is a knight," Henry declared. In a statement by Aurora: "Abigail is a knight or Mia is a knight". "Henry is a knight and Isabella is a knight," Abigail claimed. William expressed that Isabella is not a knight. In Harper's words: "William is a knight and Aurora is a knight". Mia expressed that Aurora is a knight if and only if William is a knight. So who is a knight and who is a knave?

Isabella Henry Aurora Abigail William Harper Mia

Isabella is a knave, Henry is a knave, Aurora is a knave, Abigail is a knave, William is a knight, Harper is a knave, and Mia is a knave.

(1) Isabella is a knave
(2) Henry is a knave
(3) Aurora is a knave
(4) Abigail is a knave
(5) William is a knight
(6) Harper is a knave
(7) Mia is a knave

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Abigail is a knight or Mia is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('not', ('lying', 6)), ('or', ('lying', 4), ('telling-truth', 0)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0)), ('and', ('telling-truth', 4), ('telling-truth', 2)), ('<=>', ('telling-truth', 2), ('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: Michael, Joseph, Liam, Mason, James, Lily, and Jack. Michael commented, "If Michael is a knight then Joseph is a knight". Joseph expressed that Joseph is a knight or Mason is a knight. Liam stated, "If James is a knave then Lily is a knave". Mason noted, "Lily is a knight if and only if Jack is a knight". James said, "Joseph is not a knight." Lily commented, "Jack is a knight". "Michael is a knave and Joseph is a knave," Jack declared. So who is a knight and who is a knave?

Michael Joseph Liam Mason James Lily Jack

Michael is a knight, Joseph is a knight, Liam is a knight, Mason is a knight, James is a knave, Lily is a knave, and Jack is a knave.

(1) Michael is a knight
(2) Joseph is a knight
(3) Liam is a knight
(4) Mason is a knight
(5) James is a knave
(6) Lily is a knave
(7) Jack is a knave

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

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

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

Assume Lily 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 Michael is a knave and Joseph is a knave.

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

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

Assume Lily 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 claim of Mason that Lily is a knight if and only if Jack is a knight.

Assume Jack is a knave. No contradiction is found in their false claim that Michael is a knave and Joseph is a knave.

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

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

Assume James is a knave. No contradiction is found in their false claim that Joseph 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: Samuel, Benjamin, Henry, Jacob, Aiden, Ella, and Michael. Samuel commented, "Henry is a knave and Benjamin is a knight". "Jacob is a knave," Benjamin declared. Henry remarked, "Benjamin is a knight". Jacob was heard saying, "Michael is a knight if and only if Aiden is a knight". Aiden noted, "Jacob is not a knight". "Benjamin is not a knave," Ella declared. In a statement by Michael: "If Ella is a knight then Samuel is a knight". So who is a knight and who is a knave?

Samuel Benjamin Henry Jacob Aiden Ella Michael

Samuel is a knave, Benjamin is a knight, Henry is a knight, Jacob is a knave, Aiden is a knight, Ella is a knight, and Michael is a knave.

(1) Samuel is a knave
(2) Benjamin is a knight
(3) Henry is a knight
(4) Jacob is a knave
(5) Aiden is a knight
(6) Ella is a knight
(7) Michael is a knave

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

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

Assume Henry 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 Henry that Benjamin is a knight.

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

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

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

Assume Henry 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 Jacob is a knave.

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

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

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

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

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

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

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

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

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

(('and', ('lying', 2), ('telling-truth', 1)), ('lying', 3), ('telling-truth', 1), ('<=>', ('telling-truth', 6), ('telling-truth', 4)), ('not', ('telling-truth', 3)), ('not', ('lying', 1)), ('->', ('telling-truth', 5), ('telling-truth', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Ella, Mason, Noah, Oliver, Alexander, and Chloe. Samuel was heard saying, "Mason is a knight if and only if Ella is a knight". Ella remarked, "Oliver is a knave if and only if Ella is a knight". "Alexander is a knave or Mason is a knight" - Mason. In Noah's words: "Alexander is a knight and Samuel is a knave". Oliver stated, "Samuel is a knave and Chloe is a knight". Alexander commented, "Noah is a knight if and only if Ella is a knave". In a statement by Chloe: "If Ella is a knight then Samuel is a knight". So who is a knight and who is a knave?

Samuel Ella Mason Noah Oliver Alexander Chloe

Samuel is a knight, Ella is a knight, Mason is a knight, Noah is a knave, Oliver is a knave, Alexander is a knight, and Chloe is a knight.

(1) Samuel is a knight
(2) Ella is a knight
(3) Mason is a knight
(4) Noah is a knave
(5) Oliver is a knave
(6) Alexander is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Michael, Evelyn, David, Noah, Alexander, and Oliver. Riley stated, "If Noah is a knight then David is a knave". According to Michael, "Riley is a knave if and only if David is a knave". Evelyn said, "Noah is a knight." David told you that Michael is a knight or Noah is a knave. "Riley is a knight," Noah mentioned. Alexander remarked, "Michael is a knight and Riley is a knave". Oliver expressed that Noah is a knight and David is a knave. So who is a knight and who is a knave?

Riley Michael Evelyn David Noah Alexander Oliver

Riley is a knight, Michael is a knave, Evelyn is a knight, David is a knave, Noah is a knight, Alexander is a knave, and Oliver is a knight.

(1) Riley is a knight
(2) Michael is a knave
(3) Evelyn is a knight
(4) David is a knave
(5) Noah is a knight
(6) Alexander is a knave
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that Noah is a knight and 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: Luke, William, Aurora, Amelia, Lucas, Charlotte, and Chloe. In a statement by Luke: "Chloe is a knave and Chloe is a knight". In William's words: "Lucas is a knave". Aurora said, "Charlotte is a knight or Aurora is a knight." Amelia noted, "Amelia is a knight or William is a knave". In Lucas's words: "Charlotte is a knight or Aurora is a knave". Charlotte expressed that Chloe is a knight if and only if William is a knave. "Lucas is a knight or William is a knave," Chloe declared. So who is a knight and who is a knave?

Luke William Aurora Amelia Lucas Charlotte Chloe

Luke is a knave, William is a knave, Aurora is a knight, Amelia is a knight, Lucas is a knight, Charlotte is a knight, and Chloe is a knight.

(1) Luke is a knave
(2) William is a knave
(3) Aurora is a knight
(4) Amelia is a knight
(5) Lucas is a knight
(6) Charlotte is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight or William 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: William, Oliver, Abigail, Daniel, Mason, Chloe, and Alexander. William said that Alexander is not a knight. In a statement by Oliver: "Mason is not a knight". "Mason is a knight and Daniel is a knight" - Abigail. Daniel told you that Abigail is not a knight. In a statement by Mason: "Oliver is not a knight". In Chloe's words: "William is not a knight". In Alexander's words: "Daniel is not a knight". So who is a knight and who is a knave?

William Oliver Abigail Daniel Mason Chloe Alexander

William is a knight, Oliver is a knight, Abigail is a knave, Daniel is a knight, Mason is a knave, Chloe is a knave, and Alexander is a knave.

(1) William is a knight
(2) Oliver is a knight
(3) Abigail is a knave
(4) Daniel is a knight
(5) Mason is a knave
(6) Chloe is a knave
(7) Alexander is a knave

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

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

Assume Alexander 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 Abigail is not a knight.

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

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

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

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

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

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

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

(('not', ('telling-truth', 6)), ('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('not', ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('not', ('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: Owen, Amelia, Noah, Emma, Ava, Luke, and Emily. Owen was heard saying, "Emma is a knave". "Emily is not a knight" - Amelia. Noah commented, "Luke is a knave and Ava is a knight". Emma noted, "Amelia is a knave if and only if Emma is a knight". "If Emily is a knave then Emma is a knight," Ava mentioned. "Emma is not a knight," Luke claimed. Emily was heard saying, "Luke is not a knight". So who is a knight and who is a knave?

Owen is a knave, Amelia is a knave, Noah is a knight, Emma is a knight, Ava is a knight, Luke is a knave, and Emily is a knight.

(1) Owen is a knave
(2) Amelia is a knave
(3) Noah is a knight
(4) Emma is a knight
(5) Ava is a knight
(6) Luke is a knave
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that If Emily is a knave then 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, Lucas, Logan, Sofia, Riley, Mason, and Jacob. Ava remarked, "If Sofia is a knave then Ava is a knight". "Sofia is not a knight," Lucas mentioned. In a statement by Logan: "Sofia is a knight and Mason is a knight". According to Sofia, "If Sofia is a knight then Riley is a knight". Riley expressed that Lucas is a knave if and only if Sofia is a knight. "Ava is a knight or Sofia is a knave," Mason claimed. Jacob remarked, "Lucas is a knight or Riley is a knave". So who is a knight and who is a knave?

Ava is a knight, Lucas is a knave, Logan is a knight, Sofia is a knight, Riley is a knight, Mason is a knight, and Jacob is a knave.

(1) Ava is a knight
(2) Lucas is a knave
(3) Logan is a knight
(4) Sofia is a knight
(5) Riley is a knight
(6) Mason is a knight
(7) Jacob is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Sebastian, David, Alexander, Scarlett, Amelia, and Mason. "Mason is a knave if and only if Amelia is a knight," Riley claimed. As Sebastian put it, "Riley is a knave and Amelia is a knight". David expressed that If Scarlett is a knave then Scarlett is a knight. Alexander told you that Scarlett is a knight and Mason is a knave. Scarlett was heard saying, "If Mason is a knight then Alexander is a knave". Amelia was heard saying, "Riley is a knave or Scarlett is a knight". Mason remarked, "David is a knight". So who is a knight and who is a knave?

Riley Sebastian David Alexander Scarlett Amelia Mason

Riley is a knave, Sebastian is a knight, David is a knight, Alexander is a knave, Scarlett is a knight, Amelia is a knight, and Mason is a knight.

(1) Riley is a knave
(2) Sebastian is a knight
(3) David is a knight
(4) Alexander is a knave
(5) Scarlett is a knight
(6) Amelia is a knight
(7) Mason is a knight

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Scarlett, 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.

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.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Isabella, Lucas, James, Penelope, Ethan, and Samuel. "Sebastian is a knight or Samuel is a knight," Sebastian mentioned. Isabella expressed that Ethan is not a knight. "Isabella is a knave or James is a knight" - Lucas. As James put it, "Sebastian is a knave if and only if James is a knight". "If Isabella is a knight then Penelope is a knight," Penelope claimed. As Ethan put it, "Isabella is a knight and Lucas is a knave". Samuel was heard saying, "Penelope is a knight". So who is a knight and who is a knave?

Sebastian Isabella Lucas James Penelope Ethan Samuel

Sebastian is a knave, Isabella is a knight, Lucas is a knight, James is a knight, Penelope is a knave, Ethan is a knave, and Samuel is a knave.

(1) Sebastian is a knave
(2) Isabella is a knight
(3) Lucas is a knight
(4) James is a knight
(5) Penelope is a knave
(6) Ethan is a knave
(7) Samuel is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 0), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('or', ('lying', 1), ('telling-truth', 3)), ('<=>', ('lying', 0), ('telling-truth', 3)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('and', ('telling-truth', 1), ('lying', 2)), ('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: Grace, James, Elizabeth, Olivia, Aria, Ella, and Logan. "If Grace is a knight then James is a knight" - Grace. According to James, "If Grace is a knight then Logan is a knight". Elizabeth was heard saying, "Aria is a knave". "Elizabeth is not a knight," Olivia claimed. Aria stated, "If James is a knight then Ella is a knight". "Elizabeth is a knave and James is a knight," Ella mentioned. Logan was heard saying, "Olivia is a knave or Elizabeth is a knight". So who is a knight and who is a knave?

Grace James Elizabeth Olivia Aria Ella Logan

Grace is a knight, James is a knight, Elizabeth is a knight, Olivia is a knave, Aria is a knave, Ella is a knave, and Logan is a knight.

(1) Grace is a knight
(2) James is a knight
(3) Elizabeth is a knight
(4) Olivia is a knave
(5) Aria is a knave
(6) Ella is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 6)), ('lying', 4), ('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 5)), ('and', ('lying', 2), ('telling-truth', 1)), ('or', ('lying', 3), ('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: Jacob, William, Michael, Zoey, Jackson, Henry, and James. As Jacob put it, "If Jackson is a knave then James is a knight". William was heard saying, "James is not a knight". In a statement by Michael: "If Jackson is a knight then James is a knave". Zoey expressed that Jackson is not a knave. As Jackson put it, "Jackson is a knight if and only if Michael is a knave". Henry said that Zoey is a knight and James is a knight. James remarked, "Jackson is a knight or Michael is a knight". So who is a knight and who is a knave?

Jacob William Michael Zoey Jackson Henry James

Jacob is a knight, William is a knave, Michael is a knave, Zoey is a knight, Jackson is a knight, Henry is a knight, and James is a knight.

(1) Jacob is a knight
(2) William is a knave
(3) Michael is a knave
(4) Zoey is a knight
(5) Jackson is a knight
(6) Henry is a knight
(7) James is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Zoey, Emily, Ella, Penelope, Isabella, and Sophia. In a statement by Sofia: "Zoey is a knight". Zoey expressed that Penelope is a knave. Emily noted, "Ella is a knight and Sophia is a knave". According to Ella, "If Isabella is a knave then Isabella is a knight". "Emily is a knight or Sophia is a knight" - Penelope. Isabella commented, "If Penelope is a knave then Sofia is a knight". Sophia said, "Zoey is not a knave." So who is a knight and who is a knave?

Sofia Zoey Emily Ella Penelope Isabella Sophia

Sofia is a knave, Zoey is a knave, Emily is a knight, Ella is a knight, Penelope is a knight, Isabella is a knight, and Sophia is a knave.

(1) Sofia is a knave
(2) Zoey is a knave
(3) Emily is a knight
(4) Ella is a knight
(5) Penelope is a knight
(6) Isabella is a knight
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Owen, Mia, Riley, Benjamin, Lily, and Sebastian. In a statement by Elizabeth: "If Mia is a knave then Lily is a knight". "Elizabeth is a knave," Owen declared. Mia commented, "Owen is a knave". According to Riley, "Sebastian is a knave and Owen is a knave". As Benjamin put it, "Lily is a knight and Mia is a knight". Lily remarked, "Benjamin is a knave or Elizabeth is a knight". Sebastian asserted: "If Owen is a knight then Owen is a knave". So who is a knight and who is a knave?

Elizabeth Owen Mia Riley Benjamin Lily Sebastian

Elizabeth is a knight, Owen is a knave, Mia is a knight, Riley is a knave, Benjamin is a knight, Lily is a knight, and Sebastian is a knight.

(1) Elizabeth is a knight
(2) Owen is a knave
(3) Mia is a knight
(4) Riley is a knave
(5) Benjamin is a knight
(6) Lily is a knight
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Evelyn, Aria, Aiden, Riley, Jackson, and Liam. Benjamin said that Aria is a knight if and only if Evelyn is a knight. Evelyn stated, "Benjamin is a knave or Riley is a knave". Aria noted, "Riley is a knave or Liam is a knight". Aiden said that Evelyn is not a knave. "Liam is a knave if and only if Benjamin is a knave," Riley mentioned. In a statement by Jackson: "Benjamin is a knave or Jackson is a knight". In a statement by Liam: "If Jackson is a knave then Evelyn is a knave". So who is a knight and who is a knave?

Benjamin Evelyn Aria Aiden Riley Jackson Liam

Benjamin is a knight, Evelyn is a knight, Aria is a knight, Aiden is a knight, Riley is a knave, Jackson is a knave, and Liam is a knave.

(1) Benjamin is a knight
(2) Evelyn is a knight
(3) Aria is a knight
(4) Aiden is a knight
(5) Riley is a knave
(6) Jackson is a knave
(7) Liam is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Sofia, Grace, Mason, Matthew, Chloe, and Abigail. "Mason is a knave or Mason is a knight" - Evelyn. Sofia commented, "Matthew is a knave or Abigail is a knight". "Mason is a knave," Grace declared. Mason told you that Chloe is a knight if and only if Chloe is a knave. Matthew told you that Chloe is not a knave. Chloe asserted: "Evelyn is a knight and Evelyn is a knave". Abigail stated, "Chloe is not a knave". So who is a knight and who is a knave?

Evelyn Sofia Grace Mason Matthew Chloe Abigail

Evelyn is a knight, Sofia is a knight, Grace is a knight, Mason is a knave, Matthew is a knave, Chloe is a knave, and Abigail is a knave.

(1) Evelyn is a knight
(2) Sofia is a knight
(3) Grace is a knight
(4) Mason is a knave
(5) Matthew is a knave
(6) Chloe is a knave
(7) Abigail is a knave

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

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

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

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

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

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

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

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

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

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

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