A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, David, Daniel, Emma, Abigail, Benjamin, and Luke. "Daniel is a knight if and only if Benjamin is a knave" - Victoria. As David put it, "Abigail is a knight and Benjamin is a knight". "David is not a knight," Daniel mentioned. Emma noted, "Luke is not a knave". According to Abigail, "Luke is a knave and David is a knight". Benjamin told you that David is not a knight. "David is a knight if and only if Victoria is a knave" - Luke. So who is a knight and who is a knave?

Victoria David Daniel Emma Abigail Benjamin Luke

Victoria is a knave, David is a knave, Daniel is a knight, Emma is a knave, Abigail is a knave, Benjamin is a knight, and Luke is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Luke 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: Joseph, Jackson, Sebastian, Henry, Avery, James, and Lucas. Joseph stated, "If Avery is a knave then Avery is a knight". In a statement by Jackson: "Joseph is a knight if and only if Joseph is a knave". Sebastian was heard saying, "If Sebastian is a knight then Joseph is a knight". Henry was heard saying, "James is a knave if and only if Jackson is a knave". "If James is a knave then Avery is a knight" - Avery. James said that Sebastian is a knave and Avery is a knave. Lucas asserted: "Sebastian is a knave if and only if Joseph is a knight". So who is a knight and who is a knave?

Joseph Jackson Sebastian Henry Avery James Lucas

Joseph is a knight, Jackson is a knave, Sebastian is a knight, Henry is a knight, Avery is a knight, James is a knave, and Lucas is a knave.

(1) Joseph is a knight
(2) Jackson is a knave
(3) Sebastian is a knight
(4) Henry is a knight
(5) Avery is a knight
(6) James is a knave
(7) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Mason, Logan, Benjamin, Jacob, Daniel, and Abigail. Zoey was heard saying, "Daniel is a knight". "Zoey is not a knave," Mason claimed. Logan was heard saying, "Daniel is a knight". Benjamin said that Abigail is a knave. "Jacob is a knight if and only if Benjamin is a knave," Jacob claimed. Daniel commented, "Jacob is not a knave". Abigail remarked, "Logan is a knight". So who is a knight and who is a knave?

Zoey Mason Logan Benjamin Jacob Daniel Abigail

Zoey is a knight, Mason is a knight, Logan is a knight, Benjamin is a knave, Jacob is a knight, Daniel is a knight, and Abigail is a knight.

(1) Zoey is a knight
(2) Mason is a knight
(3) Logan is a knight
(4) Benjamin is a knave
(5) Jacob is a knight
(6) Daniel is a knight
(7) Abigail is a knight

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

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

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

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

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

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

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

Assume Mason is a knight. No contradiction is found in their 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: Evelyn, Charlotte, Ava, Mia, Aria, Emma, and Matthew. Evelyn stated, "If Emma is a knave then Charlotte is a knight". "If Mia is a knave then Mia is a knight," Charlotte declared. Ava expressed that Aria is a knave and Emma is a knave. Mia expressed that If Aria is a knight then Evelyn is a knave. As Aria put it, "Charlotte is a knight and Evelyn is a knave". "Matthew is a knight and Matthew is a knave," Emma claimed. Matthew said, "Ava is a knight if and only if Aria is a knave." So who is a knight and who is a knave?

Evelyn Charlotte Ava Mia Aria Emma Matthew

Evelyn is a knight, Charlotte is a knight, Ava is a knight, Mia is a knight, Aria is a knave, Emma is a knave, and Matthew is a knight.

(1) Evelyn is a knight
(2) Charlotte is a knight
(3) Ava is a knight
(4) Mia is a knight
(5) Aria is a knave
(6) Emma is a knave
(7) Matthew is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Zoey, Luke, Isabella, Mason, Victoria, and Grace. "If Luke is a knight then Zoey is a knight," Jacob claimed. Zoey expressed that Mason is a knave and Luke is a knight. Luke commented, "Mason is not a knight". In a statement by Isabella: "If Grace is a knave then Jacob is a knight". Mason said that If Isabella is a knight then Victoria is a knave. Victoria remarked, "Zoey is a knave or Luke is a knight". "If Mason is a knight then Victoria is a knave," Grace mentioned. So who is a knight and who is a knave?

Jacob Zoey Luke Isabella Mason Victoria Grace

Jacob is a knight, Zoey is a knight, Luke is a knight, Isabella is a knight, Mason is a knave, Victoria is a knight, and Grace is a knight.

(1) Jacob is a knight
(2) Zoey is a knight
(3) Luke is a knight
(4) Isabella is a knight
(5) Mason is a knave
(6) Victoria is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Mason, Jackson, Daniel, Emily, Logan, and Jack. Mia said that Mason is not a knave. "Logan is a knight or Emily is a knight" - Mason. Jackson commented, "If Mason is a knight then Logan is a knave". Daniel remarked, "If Daniel is a knight then Jack is a knave". Emily said, "Mia is not a knave." Logan commented, "If Daniel is a knight then Mason is a knight". As Jack put it, "Daniel is a knight if and only if Mia is a knave". So who is a knight and who is a knave?

Mia Mason Jackson Daniel Emily Logan Jack

Mia is a knight, Mason is a knight, Jackson is a knave, Daniel is a knight, Emily is a knight, Logan is a knight, and Jack is a knave.

(1) Mia is a knight
(2) Mason is a knight
(3) Jackson is a knave
(4) Daniel is a knight
(5) Emily is a knight
(6) Logan is a knight
(7) Jack is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Ella, Luke, Scarlett, Sophia, Samuel, and Mia. Riley was heard saying, "Ella is a knave". Ella stated, "Samuel is not a knight". Luke stated, "Scarlett is a knave if and only if Mia is a knave". Scarlett noted, "If Riley is a knave then Ella is a knight". Sophia told you that Scarlett is a knave if and only if Samuel is a knave. In a statement by Samuel: "If Luke is a knight then Riley is a knave". Mia expressed that Mia is a knight. So who is a knight and who is a knave?

Riley Ella Luke Scarlett Sophia Samuel Mia

Riley is a knight, Ella is a knave, Luke is a knave, Scarlett is a knight, Sophia is a knight, Samuel is a knight, and Mia is a knave.

(1) Riley is a knight
(2) Ella is a knave
(3) Luke is a knave
(4) Scarlett is a knight
(5) Sophia is a knight
(6) Samuel is a knight
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Sebastian, Victoria, Logan, Noah, Luke, and Amelia. "If Victoria is a knave then Amelia is a knave," Ava claimed. "Logan is not a knight," Sebastian mentioned. Victoria told you that Amelia is not a knave. Logan commented, "Sebastian is a knave and Noah is a knave". As Noah put it, "Logan is a knight if and only if Sebastian is a knave". In a statement by Luke: "Logan is a knight if and only if Noah is a knave". Amelia said that Sebastian is a knave. So who is a knight and who is a knave?

Ava Sebastian Victoria Logan Noah Luke Amelia

Ava is a knight, Sebastian is a knight, Victoria is a knave, Logan is a knave, Noah is a knight, Luke is a knight, and Amelia is a knave.

(1) Ava is a knight
(2) Sebastian is a knight
(3) Victoria is a knave
(4) Logan is a knave
(5) Noah is a knight
(6) Luke is a knight
(7) Amelia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia 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 Logan is not a knight.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Olivia, Aria, Jackson, Alexander, Oliver, and Sofia. "Jackson is a knight if and only if Alexander is a knight," Zoey mentioned. Olivia stated, "Aria is a knave". Aria asserted: "Jackson is a knave and Jackson is a knight". Jackson noted, "Aria is a knight". Alexander was heard saying, "Olivia is a knave". Oliver asserted: "Aria is a knave if and only if Aria is a knight". Sofia told you that Aria is a knave and Oliver is a knight. So who is a knight and who is a knave?

Zoey Olivia Aria Jackson Alexander Oliver Sofia

Zoey is a knight, Olivia is a knight, Aria is a knave, Jackson is a knave, Alexander is a knave, Oliver is a knave, and Sofia is a knave.

(1) Zoey is a knight
(2) Olivia is a knight
(3) Aria is a knave
(4) Jackson is a knave
(5) Alexander is a knave
(6) Oliver is a knave
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Aiden, Mason, Jackson, Elizabeth, Grace, and Charlotte. According to Penelope, "Mason is a knight if and only if Grace is a knave". In Aiden's words: "Grace is a knave if and only if Charlotte is a knave". Mason noted, "Jackson is a knave or Grace is a knave". "Aiden is a knave and Grace is a knight," Jackson declared. As Elizabeth put it, "Jackson is a knight or Mason is a knight". "Aiden is a knight if and only if Mason is a knight," Grace declared. "Grace is a knight," Charlotte declared. So who is a knight and who is a knave?

Penelope Aiden Mason Jackson Elizabeth Grace Charlotte

Penelope is a knave, Aiden is a knight, Mason is a knight, Jackson is a knave, Elizabeth is a knight, Grace is a knight, and Charlotte is a knight.

(1) Penelope is a knave
(2) Aiden is a knight
(3) Mason is a knight
(4) Jackson is a knave
(5) Elizabeth is a knight
(6) Grace is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, David, Amelia, Sebastian, Lily, Victoria, and Emma. As Matthew put it, "If Emma is a knave then Victoria is a knave". "Emma is a knight if and only if Lily is a knight," David declared. Amelia expressed that David is not a knave. "Matthew is not a knight" - Sebastian. "Amelia is a knave and Lily is a knight" - Lily. Victoria said that Sebastian is a knave. "Matthew is a knight," Emma declared. So who is a knight and who is a knave?

Matthew David Amelia Sebastian Lily Victoria Emma

Matthew is a knight, David is a knave, Amelia is a knave, Sebastian is a knave, Lily is a knave, Victoria is a knight, and Emma is a knight.

(1) Matthew is a knight
(2) David is a knave
(3) Amelia is a knave
(4) Sebastian is a knave
(5) Lily is a knave
(6) Victoria is a knight
(7) Emma is a knight

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

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

Assume Victoria 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 their own that Matthew is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that David 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, Penelope, Emily, Matthew, Victoria, Noah, and Jackson. Elizabeth expressed that Emily is a knight. "Jackson is a knight and Penelope is a knight," Penelope declared. Emily expressed that If Jackson is a knight then Noah is a knave. Matthew stated, "Victoria is a knight if and only if Emily is a knight". According to Victoria, "Elizabeth is a knight if and only if Noah is a knave". Noah was heard saying, "If Victoria is a knight then Penelope is a knave". Jackson asserted: "If Victoria is a knight then Emily is a knight". So who is a knight and who is a knave?

Elizabeth Penelope Emily Matthew Victoria Noah Jackson

Elizabeth is a knight, Penelope is a knight, Emily is a knight, Matthew is a knight, Victoria is a knight, Noah is a knave, and Jackson is a knight.

(1) Elizabeth is a knight
(2) Penelope is a knight
(3) Emily is a knight
(4) Matthew is a knight
(5) Victoria is a knight
(6) Noah is a knave
(7) Jackson is a knight

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

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

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

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

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

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

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

Assume Matthew is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Emily 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: Elizabeth, Aria, Riley, Ethan, Michael, Chloe, and Ella. Elizabeth was heard saying, "If Chloe is a knight then Michael is a knight". "Ella is not a knave," Aria declared. Riley expressed that Elizabeth is a knave and Ella is a knight. "Elizabeth is not a knave" - Ethan. According to Michael, "Aria is a knight or Chloe is a knight". Chloe stated, "Ethan is a knight". Ella remarked, "If Riley is a knight then Riley is a knave". So who is a knight and who is a knave?

Elizabeth Aria Riley Ethan Michael Chloe Ella

Elizabeth is a knight, Aria is a knight, Riley is a knave, Ethan is a knight, Michael is a knight, Chloe is a knight, and Ella is a knight.

(1) Elizabeth is a knight
(2) Aria is a knight
(3) Riley is a knave
(4) Ethan is a knight
(5) Michael is a knight
(6) Chloe is a knight
(7) Ella is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Elizabeth, Amelia, Samuel, Sofia, Daniel, and Scarlett. Harper expressed that Daniel is a knight if and only if Amelia is a knave. Elizabeth told you that Daniel is not a knight. Amelia noted, "Sofia is a knight". Samuel said that Amelia is not a knight. In a statement by Sofia: "Amelia is a knight or Harper is a knight". Daniel commented, "Sofia is a knave or Amelia is a knave". "Harper is a knight if and only if Elizabeth is a knight," Scarlett mentioned. So who is a knight and who is a knave?

Harper Elizabeth Amelia Samuel Sofia Daniel Scarlett

Harper is a knight, Elizabeth is a knight, Amelia is a knight, Samuel is a knave, Sofia is a knight, Daniel is a knave, and Scarlett is a knight.

(1) Harper is a knight
(2) Elizabeth is a knight
(3) Amelia is a knight
(4) Samuel is a knave
(5) Sofia is a knight
(6) Daniel is a knave
(7) Scarlett is a knight

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Amelia is a knight or Harper is a knight.

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

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that Harper is a knight if and only if Elizabeth 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, Jack, Daniel, Jacob, Noah, James, and Aiden. "Jack is a knight and Jacob is a knave," Sofia declared. Jack commented, "James is a knight or James is a knave". According to Daniel, "Aiden is a knave and Noah is a knight". Jacob was heard saying, "Jacob is a knight if and only if Noah is a knave". "James is a knight" - Noah. As James put it, "Jacob is a knight". "Jacob is a knave" - Aiden. So who is a knight and who is a knave?

Sofia Jack Daniel Jacob Noah James Aiden

Sofia is a knight, Jack is a knight, Daniel is a knave, Jacob is a knave, Noah is a knave, James is a knave, and Aiden is a knight.

(1) Sofia is a knight
(2) Jack is a knight
(3) Daniel is a knave
(4) Jacob is a knave
(5) Noah is a knave
(6) James is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Charlotte, Samuel, Emily, Aria, Amelia, and Sofia. According to Alexander, "Charlotte is a knight if and only if Sofia is a knight". According to Charlotte, "Sofia is a knave or Aria is a knight". Samuel was heard saying, "If Alexander is a knight then Sofia is a knight". Emily expressed that Sofia is a knight or Charlotte is a knave. Aria commented, "Amelia is a knight if and only if Amelia is a knave". In Amelia's words: "Charlotte is a knave or Amelia is a knight". According to Sofia, "If Alexander is a knight then Samuel is a knight". So who is a knight and who is a knave?

Alexander Charlotte Samuel Emily Aria Amelia Sofia

Alexander is a knave, Charlotte is a knave, Samuel is a knight, Emily is a knight, Aria is a knave, Amelia is a knight, and Sofia is a knight.

(1) Alexander is a knave
(2) Charlotte is a knave
(3) Samuel is a knight
(4) Emily is a knight
(5) Aria is a knave
(6) Amelia is a knight
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emily is a knight. No contradiction is found in their claim that Sofia 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: Scarlett, Ella, Benjamin, Sebastian, Oliver, Penelope, and Olivia. "Sebastian is a knight" - Scarlett. In a statement by Ella: "If Sebastian is a knave then Benjamin is a knave". "Sebastian is a knave," Benjamin claimed. Sebastian noted, "Olivia is a knave and Scarlett is a knave". "Sebastian is a knave and Sebastian is a knight" - Oliver. Penelope noted, "If Scarlett is a knave then Sebastian is a knave". Olivia said, "Penelope is a knight if and only if Sebastian is a knave." So who is a knight and who is a knave?

Scarlett Ella Benjamin Sebastian Oliver Penelope Olivia

Scarlett is a knave, Ella is a knave, Benjamin is a knight, Sebastian is a knave, Oliver is a knave, Penelope is a knight, and Olivia is a knight.

(1) Scarlett is a knave
(2) Ella is a knave
(3) Benjamin is a knight
(4) Sebastian is a knave
(5) Oliver is a knave
(6) Penelope is a knight
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Jacob, James, Luke, Owen, Riley, and Amelia. Michael expressed that Riley is a knave if and only if Jacob is a knave. "If Amelia is a knave then Luke is a knave," Jacob mentioned. James stated, "Riley is a knave and Amelia is a knight". Luke noted, "Riley is a knave and James is a knave". Owen was heard saying, "Luke is a knave or James is a knight". "Luke is a knave if and only if Jacob is a knight" - Riley. Amelia commented, "Luke is a knave". So who is a knight and who is a knave?

Michael Jacob James Luke Owen Riley Amelia

Michael is a knight, Jacob is a knight, James is a knave, Luke is a knave, Owen is a knight, Riley is a knight, and Amelia is a knight.

(1) Michael is a knight
(2) Jacob is a knight
(3) James is a knave
(4) Luke is a knave
(5) Owen is a knight
(6) Riley is a knight
(7) Amelia is a knight

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

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

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

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

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

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

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

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

Assume Owen is a knight. No contradiction is found in their claim that Luke is a knave or 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: Mason, William, James, Henry, Riley, Matthew, and Victoria. "Matthew is a knight if and only if Mason is a knight," Mason mentioned. According to William, "Mason is a knave". In James's words: "If Henry is a knave then Matthew is a knight". According to Henry, "Riley is a knave and Victoria is a knight". "Mason is a knave and William is a knight," Riley mentioned. According to Matthew, "William is not a knight". Victoria commented, "If William is a knight then Riley is a knave". So who is a knight and who is a knave?

Mason William James Henry Riley Matthew Victoria

Mason is a knight, William is a knave, James is a knight, Henry is a knight, Riley is a knave, Matthew is a knight, and Victoria is a knight.

(1) Mason is a knight
(2) William is a knave
(3) James is a knight
(4) Henry is a knight
(5) Riley is a knave
(6) Matthew is a knight
(7) Victoria is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, Henry, Emma, Jacob, Luke, Logan, and Charlotte. "Jacob is a knave," Jackson declared. Henry expressed that Charlotte is not a knight. In a statement by Emma: "Jacob is a knave". Jacob said that Luke is a knave if and only if Emma is a knave. Luke said, "If Charlotte is a knave then Jacob is a knight." Logan said, "If Jackson is a knave then Henry is a knight." Charlotte commented, "Jackson is a knight if and only if Luke is a knight". So who is a knight and who is a knave?

Jackson Henry Emma Jacob Luke Logan Charlotte

Jackson is a knight, Henry is a knight, Emma is a knight, Jacob is a knave, Luke is a knave, Logan is a knight, and Charlotte is a knave.

(1) Jackson is a knight
(2) Henry is a knight
(3) Emma is a knight
(4) Jacob is a knave
(5) Luke is a knave
(6) Logan is a knight
(7) Charlotte is a knave

Assume Jackson 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 Jackson that Jacob is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Scarlett, Daniel, Sophia, Lily, Elizabeth, and Lucas. "Scarlett is a knave or Elizabeth is a knave," Amelia mentioned. Scarlett told you that Amelia is a knave and Elizabeth is a knave. Daniel said, "Lucas is a knave and Elizabeth is a knave." Sophia stated, "Scarlett is a knave if and only if Lucas is a knave". Lily told you that If Elizabeth is a knight then Sophia is a knave. Elizabeth asserted: "Lucas is a knave". Lucas said, "Daniel is a knave." So who is a knight and who is a knave?

Amelia Scarlett Daniel Sophia Lily Elizabeth Lucas

Amelia is a knight, Scarlett is a knave, Daniel is a knave, Sophia is a knave, Lily is a knight, Elizabeth is a knave, and Lucas is a knight.

(1) Amelia is a knight
(2) Scarlett is a knave
(3) Daniel is a knave
(4) Sophia is a knave
(5) Lily is a knight
(6) Elizabeth is a knave
(7) Lucas is a knight

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

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

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

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

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

Assume Lucas 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 Lucas is a knave and Elizabeth is a knave.

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

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

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

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

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

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

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

Assume Lily is a knight. No contradiction is found in their claim that If Elizabeth is a knight then Sophia 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: Matthew, Grace, James, Scarlett, Avery, Penelope, and Lily. Matthew remarked, "Grace is a knave". Grace commented, "Matthew is a knave and Matthew is a knight". James said, "Avery is a knight or Avery is a knave." Scarlett commented, "Avery is a knight or Penelope is a knave". Avery said that Scarlett is a knave if and only if Matthew is a knight. Penelope expressed that Scarlett is not a knight. Lily stated, "If Penelope is a knave then Grace is a knave". So who is a knight and who is a knave?

Matthew Grace James Scarlett Avery Penelope Lily

Matthew is a knight, Grace is a knave, James is a knight, Scarlett is a knight, Avery is a knave, Penelope is a knave, and Lily is a knight.

(1) Matthew is a knight
(2) Grace is a knave
(3) James is a knight
(4) Scarlett is a knight
(5) Avery is a knave
(6) Penelope is a knave
(7) Lily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Oliver, Amelia, Isabella, Ella, Emily, and Chloe. In Sofia's words: "Oliver is a knave and Isabella is a knight". Oliver told you that Isabella is a knave. In Amelia's words: "Ella is a knave and Oliver is a knave". Isabella commented, "If Ella is a knave then Amelia is a knave". "If Oliver is a knight then Chloe is a knight," Ella claimed. "Oliver is a knave," Emily claimed. Chloe noted, "Amelia is a knight". So who is a knight and who is a knave?

Sofia Oliver Amelia Isabella Ella Emily Chloe

Sofia is a knight, Oliver is a knave, Amelia is a knave, Isabella is a knight, Ella is a knight, Emily is a knight, and Chloe is a knave.

(1) Sofia is a knight
(2) Oliver is a knave
(3) Amelia is a knave
(4) Isabella is a knight
(5) Ella is a knight
(6) Emily is a knight
(7) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Elizabeth, Emma, Matthew, Ethan, Avery, and Samuel. Sofia was heard saying, "Matthew is a knight and Elizabeth is a knave". "If Elizabeth is a knight then Ethan is a knight," Elizabeth mentioned. "Samuel is a knave," Emma claimed. Matthew noted, "If Samuel is a knave then Matthew is a knight". "Elizabeth is a knight or Sofia is a knave," Ethan declared. Avery stated, "Samuel is a knight". "Elizabeth is a knight if and only if Ethan is a knight," Samuel mentioned. So who is a knight and who is a knave?

Sofia Elizabeth Emma Matthew Ethan Avery Samuel

Sofia is a knave, Elizabeth is a knight, Emma is a knave, Matthew is a knight, Ethan is a knight, Avery is a knight, and Samuel is a knight.

(1) Sofia is a knave
(2) Elizabeth is a knight
(3) Emma is a knave
(4) Matthew is a knight
(5) Ethan is a knight
(6) Avery is a knight
(7) Samuel is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that 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: Victoria, Penelope, Ava, Joseph, Elizabeth, Olivia, and Emily. Victoria said that Joseph is a knave. Penelope was heard saying, "If Victoria is a knight then Olivia is a knave". Ava noted, "Olivia is not a knave". Joseph expressed that Penelope is a knight if and only if Joseph is a knight. "Emily is a knave," Elizabeth mentioned. In Olivia's words: "If Joseph is a knight then Elizabeth is a knight". "Victoria is a knave," Emily claimed. So who is a knight and who is a knave?

Victoria Penelope Ava Joseph Elizabeth Olivia Emily

Victoria is a knave, Penelope is a knight, Ava is a knave, Joseph is a knight, Elizabeth is a knave, Olivia is a knave, and Emily is a knight.

(1) Victoria is a knave
(2) Penelope is a knight
(3) Ava is a knave
(4) Joseph is a knight
(5) Elizabeth is a knave
(6) Olivia is a knave
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Olivia 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: Harper, Logan, Alexander, Sebastian, Sofia, James, and Elizabeth. "James is a knight or Sofia is a knave" - Harper. "Alexander is a knave" - Logan. Alexander said that Harper is a knave or Sofia is a knight. "Elizabeth is not a knight" - Sebastian. Sofia remarked, "James is a knight if and only if Sofia is a knight". James told you that If Logan is a knight then Sofia is a knight. Elizabeth remarked, "Harper is a knight". So who is a knight and who is a knave?

Harper Logan Alexander Sebastian Sofia James Elizabeth

Harper is a knight, Logan is a knave, Alexander is a knight, Sebastian is a knave, Sofia is a knight, James is a knight, and Elizabeth is a knight.

(1) Harper is a knight
(2) Logan is a knave
(3) Alexander is a knight
(4) Sebastian is a knave
(5) Sofia is a knight
(6) James is a knight
(7) Elizabeth is a knight

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

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

Assume Logan 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 Logan that Alexander is a knave.

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

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

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

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

Assume Logan 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 Harper is a knave or Sofia is a knight.

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

Assume Sebastian 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 Sebastian that Elizabeth is not a knight.

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

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

Assume Sebastian 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 Harper is a knight.

(('or', ('telling-truth', 5), ('lying', 4)), ('lying', 2), ('or', ('lying', 0), ('telling-truth', 4)), ('not', ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 1), ('telling-truth', 4)), ('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: Emma, Jacob, Michael, Logan, Mia, Abigail, and Olivia. "Michael is a knave if and only if Abigail is a knight," Emma claimed. Jacob stated, "If Michael is a knave then Mia is a knave". As Michael put it, "Jacob is not a knave". Logan noted, "If Olivia is a knight then Emma is a knight". "Emma is a knave and Michael is a knight," Mia declared. "If Jacob is a knave then Michael is a knave" - Abigail. Olivia asserted: "Mia is a knight if and only if Abigail is a knave". So who is a knight and who is a knave?

Emma Jacob Michael Logan Mia Abigail Olivia

Emma is a knave, Jacob is a knight, Michael is a knight, Logan is a knight, Mia is a knight, Abigail is a knight, and Olivia is a knave.

(1) Emma is a knave
(2) Jacob is a knight
(3) Michael is a knight
(4) Logan is a knight
(5) Mia is a knight
(6) Abigail is a knight
(7) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Mia cannot be a knave, because this would contradict the false claim of Jacob that If Michael is a knave then Mia is a knave.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Harper, Jackson, Henry, Daniel, Lily, and Ella. Alexander stated, "Henry is a knave". In a statement by Harper: "Lily is a knave or Lily is a knight". "Henry is a knight or Henry is a knave," Jackson mentioned. Henry stated, "If Jackson is a knight then Harper is a knave". Daniel stated, "Jackson is a knave or Ella is a knave". In Lily's words: "Ella is a knave or Alexander is a knight". Ella asserted: "Harper is not a knave". So who is a knight and who is a knave?

Alexander Harper Jackson Henry Daniel Lily Ella

Alexander is a knight, Harper is a knight, Jackson is a knight, Henry is a knave, Daniel is a knave, Lily is a knight, and Ella is a knight.

(1) Alexander is a knight
(2) Harper is a knight
(3) Jackson is a knight
(4) Henry is a knave
(5) Daniel is a knave
(6) Lily is a knight
(7) Ella is a knight

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

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

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

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Jackson is a knave or Ella 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: Lily, William, Mia, Samuel, Sebastian, Ella, and Sofia. In Lily's words: "If Sofia is a knight then Mia is a knight". In William's words: "If Mia is a knave then Sofia is a knave". Mia asserted: "William is a knight". Samuel remarked, "William is not a knave". "If Mia is a knight then Sofia is a knight" - Sebastian. In Ella's words: "Sebastian is a knave if and only if Samuel is a knave". Sofia commented, "Samuel is not a knave". So who is a knight and who is a knave?

Lily William Mia Samuel Sebastian Ella Sofia

Lily is a knight, William is a knight, Mia is a knight, Samuel is a knight, Sebastian is a knight, Ella is a knight, and Sofia is a knight.

(1) Lily is a knight
(2) William is a knight
(3) Mia is a knight
(4) Samuel is a knight
(5) Sebastian is a knight
(6) Ella is a knight
(7) Sofia is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Mia, Logan, Ethan, Lily, Charlotte, and Luke. Abigail told you that Ethan is a knight if and only if Luke is a knight. Mia expressed that Charlotte is a knave or Charlotte is a knight. "Mia is not a knave," Logan declared. Ethan stated, "Charlotte is a knight and Lily is a knight". Lily told you that Logan is not a knave. "Mia is a knave if and only if Luke is a knave," Charlotte mentioned. "Abigail is not a knight" - Luke. So who is a knight and who is a knave?

Abigail Mia Logan Ethan Lily Charlotte Luke

Abigail is a knight, Mia is a knight, Logan is a knight, Ethan is a knave, Lily is a knight, Charlotte is a knave, and Luke is a knave.

(1) Abigail is a knight
(2) Mia is a knight
(3) Logan is a knight
(4) Ethan is a knave
(5) Lily is a knight
(6) Charlotte is a knave
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Logan is a knight. No contradiction is found in their claim that Mia 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: Aiden, Lily, Ava, Ella, Noah, Jack, and Harper. "Noah is a knight" - Aiden. Lily remarked, "Ava is a knight or Aiden is a knight". Ava expressed that Ava is a knight or Jack is a knight. Ella noted, "Ava is not a knave". Noah commented, "Ella is a knight". "If Lily is a knight then Harper is a knight," Jack declared. Harper stated, "Ava is a knave". So who is a knight and who is a knave?

Aiden is a knight, Lily is a knight, Ava is a knight, Ella is a knight, Noah is a knight, Jack is a knave, and Harper is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Emma, Aiden, Lily, Chloe, Logan, and Alexander. Sebastian stated, "Logan is not a knight". Emma remarked, "Alexander is a knight or Sebastian is a knight". Aiden said that Sebastian is a knight or Logan is a knight. In Lily's words: "Sebastian is a knave". "Lily is a knave if and only if Logan is a knave" - Chloe. As Logan put it, "Aiden is a knight". Alexander asserted: "Sebastian is a knight or Chloe is a knave". So who is a knight and who is a knave?

Sebastian Emma Aiden Lily Chloe Logan Alexander

Sebastian is a knave, Emma is a knave, Aiden is a knight, Lily is a knight, Chloe is a knight, Logan is a knight, and Alexander is a knave.

(1) Sebastian is a knave
(2) Emma is a knave
(3) Aiden is a knight
(4) Lily is a knight
(5) Chloe is a knight
(6) Logan is a knight
(7) Alexander is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Isabella, Chloe, Olivia, Owen, Benjamin, and Oliver. Amelia said, "If Isabella is a knight then Chloe is a knave." As Isabella put it, "Oliver is a knight if and only if Amelia is a knave". "Amelia is not a knave," Chloe mentioned. According to Olivia, "Olivia is a knight". "Amelia is a knight and Chloe is a knave," Owen claimed. As Benjamin put it, "Amelia is a knave if and only if Olivia is a knave". Oliver remarked, "Chloe is a knave or Olivia is a knave". So who is a knight and who is a knave?

Amelia Isabella Chloe Olivia Owen Benjamin Oliver

Amelia is a knight, Isabella is a knave, Chloe is a knight, Olivia is a knave, Owen is a knave, Benjamin is a knave, and Oliver is a knight.

(1) Amelia is a knight
(2) Isabella is a knave
(3) Chloe is a knight
(4) Olivia is a knave
(5) Owen is a knave
(6) Benjamin is a knave
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Benjamin is a knave. No contradiction is found in their false claim that Amelia is a knave if and only if Olivia 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: Matthew, Penelope, Alexander, Sophia, Mia, Oliver, and Ava. "Sophia is a knave or Penelope is a knight," Matthew mentioned. Penelope said, "Ava is a knight and Oliver is a knight." Alexander was heard saying, "Matthew is a knight". Sophia said, "Penelope is a knight and Alexander is a knight." "Oliver is a knight or Matthew is a knight," Mia declared. In Oliver's words: "Oliver is a knight or Matthew is a knight". "Mia is a knave and Ava is a knight," Ava declared. So who is a knight and who is a knave?

Matthew Penelope Alexander Sophia Mia Oliver Ava

Matthew is a knight, Penelope is a knave, Alexander is a knight, Sophia is a knave, Mia is a knight, Oliver is a knight, and Ava is a knave.

(1) Matthew is a knight
(2) Penelope is a knave
(3) Alexander is a knight
(4) Sophia is a knave
(5) Mia is a knight
(6) Oliver is a knight
(7) Ava is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that Oliver is a knight or Matthew is a knight.

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

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

(('or', ('lying', 3), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('telling-truth', 5)), ('telling-truth', 0), ('and', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 5), ('telling-truth', 0)), ('or', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 4), ('telling-truth', 6)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, William, Luke, Emily, Benjamin, Owen, and Harper. Jackson expressed that Owen is a knight or William is a knight. "Owen is a knight if and only if Benjamin is a knave," William declared. Luke asserted: "Jackson is a knight or Emily is a knight". Emily asserted: "Emily is a knight if and only if Luke is a knave". Benjamin commented, "William is a knight". "Benjamin is a knave if and only if Luke is a knight," Owen declared. As Harper put it, "If Harper is a knight then William is a knave". So who is a knight and who is a knave?

Jackson William Luke Emily Benjamin Owen Harper

Jackson is a knave, William is a knave, Luke is a knave, Emily is a knave, Benjamin is a knave, Owen is a knave, and Harper is a knight.

(1) Jackson is a knave
(2) William is a knave
(3) Luke is a knave
(4) Emily is a knave
(5) Benjamin is a knave
(6) Owen is a knave
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knight. No contradiction is found in their claim that If Harper is a knight then 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: Isabella, Jacob, Ava, Aria, Emma, Ethan, and Samuel. Isabella was heard saying, "Ava is a knave". Jacob told you that Aria is a knight. In Ava's words: "Emma is a knave". Aria said that Ava is a knave or Samuel is a knave. In a statement by Emma: "If Emma is a knight then Jacob is a knight". Ethan commented, "Samuel is a knight or Samuel is a knave". As Samuel put it, "Ava is a knight". So who is a knight and who is a knave?

Isabella Jacob Ava Aria Emma Ethan Samuel

Isabella is a knight, Jacob is a knight, Ava is a knave, Aria is a knight, Emma is a knight, Ethan is a knight, and Samuel is a knave.

(1) Isabella is a knight
(2) Jacob is a knight
(3) Ava is a knave
(4) Aria is a knight
(5) Emma is a knight
(6) Ethan is a knight
(7) Samuel is a knave

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

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

Assume Ava 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 If Emma is a knight then Jacob is a knight.

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

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

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

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

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