A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, Noah, Charlotte, Aurora, Isabella, and Luke. Grace expressed that Charlotte is a knave and Aurora is a knight. "Grace is a knight and Grace is a knave," Noah declared. "Aurora is a knave or Luke is a knight," Charlotte claimed. Aurora expressed that Charlotte is a knave or Isabella is a knight. "Noah is a knave," Isabella declared. "Isabella is a knight" - Luke. So who is a knight and who is a knave?

Grace Noah Charlotte Aurora Isabella Luke

Grace is a knave, Noah is a knave, Charlotte is a knight, Aurora is a knight, Isabella is a knight, and Luke is a knight.

(1) Grace is a knave
(2) Noah is a knave
(3) Charlotte is a knight
(4) Aurora is a knight
(5) Isabella is a knight
(6) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Luke is a knight. No contradiction is found in their claim that Isabella 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 6 inhabitants: Charlotte, Jacob, William, Harper, Amelia, and Liam. In a statement by Charlotte: "If Liam is a knave then William is a knave". As Jacob put it, "Charlotte is a knave and Liam is a knave". William expressed that Amelia is a knave or Charlotte is a knight. "William is not a knight" - Harper. In a statement by Amelia: "William is not a knave". Liam expressed that If Jacob is a knave then Liam is a knight. So who is a knight and who is a knave?

Charlotte Jacob William Harper Amelia Liam

Charlotte is a knight, Jacob is a knave, William is a knight, Harper is a knave, Amelia is a knight, and Liam is a knight.

(1) Charlotte is a knight
(2) Jacob is a knave
(3) William is a knight
(4) Harper is a knave
(5) Amelia is a knight
(6) Liam is a knight

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Charlotte is a knave and Liam is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Joseph, Zoey, Sebastian, Luke, Sofia, and Noah. As Joseph put it, "Sebastian is a knave or Luke is a knight". According to Zoey, "If Noah is a knight then Sofia is a knave". Sebastian said that If Joseph is a knight then Luke is a knave. Luke told you that Joseph is a knight or Zoey is a knight. Sofia said that Zoey is a knight and Zoey is a knave. In Noah's words: "Sofia is a knight and Sebastian is a knave". So who is a knight and who is a knave?

Joseph is a knight, Zoey is a knight, Sebastian is a knave, Luke is a knight, Sofia is a knave, and Noah is a knave.

(1) Joseph is a knight
(2) Zoey is a knight
(3) Sebastian is a knave
(4) Luke is a knight
(5) Sofia is a knave
(6) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aiden, Emma, Lily, Jack, Daniel, and Charlotte. Aiden commented, "Emma is not a knave". Emma asserted: "Aiden is a knave or Jack is a knight". "Daniel is not a knave," Lily mentioned. "Jack is a knight or Charlotte is a knight," Jack declared. Daniel said that Charlotte is a knight if and only if Lily is a knave. Charlotte said, "Daniel is a knave." So who is a knight and who is a knave?

Aiden is a knight, Emma is a knight, Lily is a knight, Jack is a knight, Daniel is a knight, and Charlotte is a knave.

(1) Aiden is a knight
(2) Emma is a knight
(3) Lily is a knight
(4) Jack is a knight
(5) Daniel is a knight
(6) Charlotte is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Lily is a knight. No contradiction is found in their claim that Daniel 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 6 inhabitants: Aiden, Chloe, Avery, Charlotte, Emily, and Aurora. Aiden remarked, "Emily is not a knight". Chloe was heard saying, "Aurora is a knight or Aiden is a knight". "If Emily is a knave then Emily is a knight," Avery claimed. "Aurora is a knight or Aiden is a knave," Charlotte mentioned. As Emily put it, "Chloe is not a knave". Aurora stated, "If Avery is a knight then Charlotte is a knight". So who is a knight and who is a knave?

Aiden Chloe Avery Charlotte Emily Aurora

Aiden is a knave, Chloe is a knight, Avery is a knight, Charlotte is a knight, Emily is a knight, and Aurora is a knight.

(1) Aiden is a knave
(2) Chloe is a knight
(3) Avery is a knight
(4) Charlotte is a knight
(5) Emily is a knight
(6) Aurora is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knight. No contradiction is found in their claim that Aurora is a knight or Aiden 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 6 inhabitants: James, Lily, Ethan, Sofia, Sophia, and Isabella. As James put it, "Lily is a knave". "Ethan is a knight," Lily claimed. Ethan noted, "Ethan is a knight and Isabella is a knight". "Lily is a knave and Ethan is a knave," Sofia declared. According to Sophia, "Ethan is a knave". "If Sophia is a knave then Lily is a knave" - Isabella. So who is a knight and who is a knave?

James is a knight, Lily is a knave, Ethan is a knave, Sofia is a knight, Sophia is a knight, and Isabella is a knight.

(1) James is a knight
(2) Lily is a knave
(3) Ethan is a knave
(4) Sofia is a knight
(5) Sophia is a knight
(6) Isabella is a knight

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

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

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Lily is a knave and Ethan 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 6 inhabitants: James, Sofia, Joseph, Ethan, Evelyn, and Lily. "If Ethan is a knave then Joseph is a knight," James declared. Sofia asserted: "If Evelyn is a knight then Lily is a knight". Joseph was heard saying, "Joseph is a knight and Sofia is a knave". As Ethan put it, "If Sofia is a knight then Sofia is a knave". Evelyn stated, "Ethan is a knave or Lily is a knight". Lily stated, "Joseph is not a knight". So who is a knight and who is a knave?

James is a knave, Sofia is a knight, Joseph is a knave, Ethan is a knave, Evelyn is a knight, and Lily is a knight.

(1) James is a knave
(2) Sofia is a knight
(3) Joseph is a knave
(4) Ethan is a knave
(5) Evelyn is a knight
(6) Lily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Isabella, Matthew, Samuel, Joseph, William, and Charlotte. Isabella was heard saying, "Matthew is a knave or Charlotte is a knight". In Matthew's words: "Samuel is a knave and Joseph is a knave". Samuel said that Isabella is a knight or Isabella is a knave. In a statement by Joseph: "William is not a knave". "Samuel is a knave," William declared. "Matthew is a knight if and only if Samuel is a knight," Charlotte declared. So who is a knight and who is a knave?

Isabella Matthew Samuel Joseph William Charlotte

Isabella is a knight, Matthew is a knave, Samuel is a knight, Joseph is a knave, William is a knave, and Charlotte is a knave.

(1) Isabella is a knight
(2) Matthew is a knave
(3) Samuel is a knight
(4) Joseph is a knave
(5) William is a knave
(6) Charlotte is a knave

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

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

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Samuel is a knave and Joseph is a knave.

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

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

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

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

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

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

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

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

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

Assume Charlotte is a knave. No contradiction is found in their false claim that Matthew is a knight if and only if 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 6 inhabitants: Ella, Mason, Benjamin, Aurora, Lucas, and Jacob. According to Ella, "Aurora is a knight or Benjamin is a knight". Mason commented, "Benjamin is a knight or Lucas is a knight". Benjamin said that Mason is a knight or Aurora is a knight. As Aurora put it, "Ella is a knight or Lucas is a knight". Lucas asserted: "If Ella is a knave then Mason is a knave". "Aurora is a knave if and only if Benjamin is a knight," Jacob mentioned. So who is a knight and who is a knave?

Ella is a knight, Mason is a knight, Benjamin is a knight, Aurora is a knight, Lucas is a knight, and Jacob is a knave.

(1) Ella is a knight
(2) Mason is a knight
(3) Benjamin is a knight
(4) Aurora is a knight
(5) Lucas is a knight
(6) Jacob is a knave

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

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

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

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

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

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

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

(('or', ('telling-truth', 3), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 0), ('telling-truth', 4)), ('->', ('lying', 0), ('lying', 1)), ('<=>', ('lying', 3), ('telling-truth', 2)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mia, Penelope, Victoria, Amelia, Henry, and Jacob. In a statement by Mia: "Penelope is a knight". Penelope noted, "If Amelia is a knight then Victoria is a knave". Victoria noted, "Mia is a knave if and only if Henry is a knave". "Jacob is not a knave" - Amelia. "Jacob is not a knave" - Henry. "Victoria is not a knave," Jacob claimed. So who is a knight and who is a knave?

Mia Penelope Victoria Amelia Henry Jacob

Mia is a knight, Penelope is a knight, Victoria is a knave, Amelia is a knave, Henry is a knave, and Jacob is a knave.

(1) Mia is a knight
(2) Penelope is a knight
(3) Victoria is a knave
(4) Amelia is a knave
(5) Henry is a knave
(6) Jacob is a knave

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

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

Assume Amelia 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 Victoria is not a knave.

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

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

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

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

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

Assume Amelia 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 Amelia that Jacob is not a knave.

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Jacob 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 6 inhabitants: Aiden, Aurora, Luke, Benjamin, Emily, and Mason. According to Aiden, "If Mason is a knave then Mason is a knight". Aurora expressed that Benjamin is a knight. Luke noted, "Mason is a knight and Mason is a knave". "Mason is a knave and Benjamin is a knight," Benjamin claimed. As Emily put it, "If Mason is a knave then Luke is a knave". In Mason's words: "Aurora is a knight and Luke is a knave". So who is a knight and who is a knave?

Aiden is a knave, Aurora is a knave, Luke is a knave, Benjamin is a knave, Emily is a knight, and Mason is a knave.

(1) Aiden is a knave
(2) Aurora is a knave
(3) Luke is a knave
(4) Benjamin is a knave
(5) Emily is a knight
(6) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Logan, James, Scarlett, Lucas, Emma, and Lily. "James is a knave if and only if Logan is a knight" - Logan. James was heard saying, "If Lucas is a knave then Logan is a knight". As Scarlett put it, "Emma is a knave and Lily is a knight". "Scarlett is a knight if and only if James is a knave" - Lucas. Emma said, "If Lily is a knave then Lucas is a knight." Lily said, "Logan is a knight and Lily is a knight." So who is a knight and who is a knave?

Logan is a knave, James is a knave, Scarlett is a knave, Lucas is a knave, Emma is a knave, and Lily is a knave.

(1) Logan is a knave
(2) James is a knave
(3) Scarlett is a knave
(4) Lucas is a knave
(5) Emma is a knave
(6) Lily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Harper, Jackson, Scarlett, Abigail, Oliver, and Daniel. Harper stated, "Scarlett is a knight and Daniel is a knight". Jackson noted, "Abigail is a knight and Abigail is a knave". In Scarlett's words: "Jackson is not a knight". According to Abigail, "If Oliver is a knight then Harper is a knight". In a statement by Oliver: "Jackson is a knave and Daniel is a knight". Daniel expressed that Scarlett is a knight. So who is a knight and who is a knave?

Harper Jackson Scarlett Abigail Oliver Daniel

Harper is a knight, Jackson is a knave, Scarlett is a knight, Abigail is a knight, Oliver is a knight, and Daniel is a knight.

(1) Harper is a knight
(2) Jackson is a knave
(3) Scarlett is a knight
(4) Abigail is a knight
(5) Oliver is a knight
(6) Daniel is a knight

Assume Harper is a knight. No contradiction is found in their claim that Scarlett is a knight and Daniel is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Aurora, Ava, David, Penelope, and William. Sophia stated, "William is a knave". Aurora stated, "Ava is a knight and Penelope is a knight". Ava was heard saying, "David is a knight if and only if David is a knave". David asserted: "If William is a knave then Aurora is a knight". "Sophia is a knight and Aurora is a knight," Penelope declared. William said, "David is a knight and Penelope is a knight." So who is a knight and who is a knave?

Sophia Aurora Ava David Penelope William

Sophia is a knight, Aurora is a knave, Ava is a knave, David is a knave, Penelope is a knave, and William is a knave.

(1) Sophia is a knight
(2) Aurora is a knave
(3) Ava is a knave
(4) David is a knave
(5) Penelope is a knave
(6) William is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('lying', 5), ('and', ('telling-truth', 2), ('telling-truth', 4)), ('<=>', ('telling-truth', 3), ('lying', 3)), ('->', ('lying', 5), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 3), ('telling-truth', 4)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, Aria, Ava, Olivia, Benjamin, and Charlotte. Sebastian said that Benjamin is a knave or Aria is a knave. Aria expressed that Ava is a knave. Ava was heard saying, "Charlotte is a knight if and only if Benjamin is a knight". Olivia told you that Aria is a knave if and only if Aria is a knight. "Charlotte is not a knight," Benjamin claimed. Charlotte expressed that Olivia is a knight. So who is a knight and who is a knave?

Sebastian Aria Ava Olivia Benjamin Charlotte

Sebastian is a knave, Aria is a knight, Ava is a knave, Olivia is a knave, Benjamin is a knight, and Charlotte is a knave.

(1) Sebastian is a knave
(2) Aria is a knight
(3) Ava is a knave
(4) Olivia is a knave
(5) Benjamin is a knight
(6) Charlotte is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria 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 Aria that Ava is a knave.

Assume Ava is a knave. No contradiction is found in their false claim that Charlotte is a knight if and only if Benjamin 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 6 inhabitants: Grace, Oliver, Aurora, Sophia, Sebastian, and Olivia. According to Grace, "If Grace is a knight then Aurora is a knave". According to Oliver, "Aurora is a knave". Aurora noted, "Aurora is a knight if and only if Sebastian is a knight". "Oliver is a knave" - Sophia. "Aurora is a knave or Aurora is a knight," Sebastian mentioned. Olivia noted, "Sebastian is not a knave". So who is a knight and who is a knave?

Grace Oliver Aurora Sophia Sebastian Olivia

Grace is a knight, Oliver is a knight, Aurora is a knave, Sophia is a knave, Sebastian is a knight, and Olivia is a knight.

(1) Grace is a knight
(2) Oliver is a knight
(3) Aurora is a knave
(4) Sophia is a knave
(5) Sebastian is a knight
(6) Olivia is a knight

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

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

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

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

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

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Sebastian 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 6 inhabitants: Emma, Evelyn, Aria, Aiden, Sophia, and Avery. Emma was heard saying, "Evelyn is a knave if and only if Avery is a knight". "Avery is a knight or Avery is a knave," Evelyn claimed. Aria said that Emma is a knave and Evelyn is a knight. Aiden commented, "Sophia is a knight and Avery is a knave". In a statement by Sophia: "Aria is not a knave". Avery expressed that Sophia is a knave and Avery is a knight. So who is a knight and who is a knave?

Emma is a knight, Evelyn is a knight, Aria is a knave, Aiden is a knave, Sophia is a knave, and Avery is a knave.

(1) Emma is a knight
(2) Evelyn is a knight
(3) Aria is a knave
(4) Aiden is a knave
(5) Sophia is a knave
(6) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Daniel, Aria, Owen, Ethan, Alexander, and Benjamin. Daniel remarked, "Owen is not a knight". Aria stated, "If Owen is a knave then Benjamin is a knave". In Owen's words: "Benjamin is a knave". Ethan stated, "Owen is a knight". "Aria is a knight if and only if Aria is a knave," Alexander mentioned. In Benjamin's words: "Ethan is a knight or Owen is a knave". So who is a knight and who is a knave?

Daniel Aria Owen Ethan Alexander Benjamin

Daniel is a knight, Aria is a knave, Owen is a knave, Ethan is a knave, Alexander is a knave, and Benjamin is a knight.

(1) Daniel is a knight
(2) Aria is a knave
(3) Owen is a knave
(4) Ethan is a knave
(5) Alexander is a knave
(6) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Ava, William, Lucas, Riley, and Lily. Benjamin was heard saying, "Lily is a knight if and only if Ava is a knight". In Ava's words: "Lucas is a knight or Lily is a knave". William asserted: "Lucas is a knight if and only if Riley is a knave". Lucas remarked, "Riley is a knave and Riley is a knight". Riley stated, "Lily is not a knave". Lily said that William is a knave and William is a knight. So who is a knight and who is a knave?

Benjamin is a knave, Ava is a knight, William is a knave, Lucas is a knave, Riley is a knave, and Lily is a knave.

(1) Benjamin is a knave
(2) Ava is a knight
(3) William is a knave
(4) Lucas is a knave
(5) Riley is a knave
(6) Lily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: William, Lily, Harper, Daniel, Charlotte, and Elizabeth. William told you that Charlotte is a knight. Lily was heard saying, "William is a knight". Harper said, "Elizabeth is a knave and Charlotte is a knight." As Daniel put it, "If Daniel is a knight then William is a knave". "Charlotte is a knight and Elizabeth is a knight," Charlotte declared. "Harper is a knave or Harper is a knight," Elizabeth declared. So who is a knight and who is a knave?

William Lily Harper Daniel Charlotte Elizabeth

William is a knave, Lily is a knave, Harper is a knave, Daniel is a knight, Charlotte is a knave, and Elizabeth is a knight.

(1) William is a knave
(2) Lily is a knave
(3) Harper is a knave
(4) Daniel is a knight
(5) Charlotte is a knave
(6) Elizabeth is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sofia, Penelope, Emily, Aiden, David, and Aria. In a statement by Sofia: "Penelope is a knave". Penelope stated, "Penelope is a knight and David is a knight". Emily told you that David is a knight. Aiden noted, "Penelope is a knight or Aria is a knave". David said, "Aiden is a knave and Aiden is a knight." According to Aria, "Sofia is a knight and David is a knave". So who is a knight and who is a knave?

Sofia is a knight, Penelope is a knave, Emily is a knave, Aiden is a knave, David is a knave, and Aria is a knight.

(1) Sofia is a knight
(2) Penelope is a knave
(3) Emily is a knave
(4) Aiden is a knave
(5) David is a knave
(6) Aria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

(('lying', 1), ('and', ('telling-truth', 1), ('telling-truth', 4)), ('telling-truth', 4), ('or', ('telling-truth', 1), ('lying', 5)), ('and', ('lying', 3), ('telling-truth', 3)), ('and', ('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 6 inhabitants: Evelyn, Daniel, Mason, Sofia, Zoey, and Avery. "Zoey is a knave and Evelyn is a knight" - Evelyn. In Daniel's words: "If Zoey is a knave then Sofia is a knave". According to Mason, "Evelyn is a knight". According to Sofia, "Avery is a knave or Zoey is a knight". "Mason is not a knave," Zoey declared. "Zoey is a knave or Daniel is a knave," Avery mentioned. So who is a knight and who is a knave?

Evelyn is a knave, Daniel is a knight, Mason is a knave, Sofia is a knave, Zoey is a knave, and Avery is a knight.

(1) Evelyn is a knave
(2) Daniel is a knight
(3) Mason is a knave
(4) Sofia is a knave
(5) Zoey is a knave
(6) Avery is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sofia, Alexander, Jacob, Harper, Scarlett, and Henry. According to Sofia, "Jacob is a knight and Scarlett is a knight". According to Alexander, "Harper is a knave and Jacob is a knave". Jacob told you that Henry is a knight. "Sofia is a knight if and only if Alexander is a knight" - Harper. "Henry is a knight or Jacob is a knight," Scarlett declared. According to Henry, "Sofia is a knave or Alexander is a knave". So who is a knight and who is a knave?

Sofia Alexander Jacob Harper Scarlett Henry

Sofia is a knight, Alexander is a knave, Jacob is a knight, Harper is a knave, Scarlett is a knight, and Henry is a knight.

(1) Sofia is a knight
(2) Alexander is a knave
(3) Jacob is a knight
(4) Harper is a knave
(5) Scarlett is a knight
(6) Henry is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Logan, Benjamin, Matthew, William, Mia, and Grace. Logan commented, "If Benjamin is a knave then Matthew is a knight". "Grace is a knave or Logan is a knight," Benjamin declared. Matthew said, "Mia is a knave if and only if Grace is a knave." William stated, "If Benjamin is a knave then Grace is a knave". Mia asserted: "William is a knave". Grace remarked, "Benjamin is not a knight". So who is a knight and who is a knave?

Logan Benjamin Matthew William Mia Grace

Logan is a knight, Benjamin is a knight, Matthew is a knight, William is a knight, Mia is a knave, and Grace is a knave.

(1) Logan is a knight
(2) Benjamin is a knight
(3) Matthew is a knight
(4) William is a knight
(5) Mia is a knave
(6) Grace is a knave

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that If Benjamin 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 6 inhabitants: Amelia, Aria, Henry, Oliver, Sofia, and Joseph. Amelia remarked, "If Oliver is a knight then Aria is a knight". Aria remarked, "Henry is a knave and Oliver is a knight". As Henry put it, "If Sofia is a knave then Joseph is a knight". Oliver expressed that Henry is a knight if and only if Sofia is a knave. Sofia told you that If Oliver is a knight then Henry is a knight. Joseph asserted: "Oliver is a knave". So who is a knight and who is a knave?

Amelia is a knight, Aria is a knave, Henry is a knight, Oliver is a knave, Sofia is a knight, and Joseph is a knight.

(1) Amelia is a knight
(2) Aria is a knave
(3) Henry is a knight
(4) Oliver is a knave
(5) Sofia is a knight
(6) Joseph is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that Henry 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 6 inhabitants: Victoria, Avery, Jackson, Sofia, Grace, and Samuel. Victoria said that Sofia is not a knight. Avery expressed that Victoria is not a knight. Jackson told you that Avery is a knave and Sofia is a knave. Sofia stated, "Avery is a knave and Grace is a knight". As Grace put it, "Avery is a knight". Samuel expressed that Grace is a knave if and only if Jackson is a knight. So who is a knight and who is a knave?

Victoria Avery Jackson Sofia Grace Samuel

Victoria is a knight, Avery is a knave, Jackson is a knight, Sofia is a knave, Grace is a knave, and Samuel is a knight.

(1) Victoria is a knight
(2) Avery is a knave
(3) Jackson is a knight
(4) Sofia is a knave
(5) Grace is a knave
(6) Samuel is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Zoey, Ethan, Lily, Harper, and Emma. David told you that Lily is a knave if and only if David is a knight. As Zoey put it, "Emma is a knight or David is a knave". Ethan said that Harper is not a knight. In Lily's words: "If David is a knight then Lily is a knight". Harper stated, "Lily is not a knave". Emma was heard saying, "Lily is a knight if and only if David is a knight". So who is a knight and who is a knave?

David is a knight, Zoey is a knave, Ethan is a knight, Lily is a knave, Harper is a knave, and Emma is a knave.

(1) David is a knight
(2) Zoey is a knave
(3) Ethan is a knight
(4) Lily is a knave
(5) Harper is a knave
(6) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knave. No contradiction is found in their false claim that Lily 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 6 inhabitants: Evelyn, Aurora, Ella, Charlotte, Abigail, and Isabella. According to Evelyn, "Abigail is a knight and Charlotte is a knight". Aurora noted, "Isabella is not a knight". Ella stated, "Evelyn is a knave and Abigail is a knight". In Charlotte's words: "Ella is not a knave". In a statement by Abigail: "Ella is a knight or Aurora is a knight". Isabella told you that Evelyn is a knave. So who is a knight and who is a knave?

Evelyn Aurora Ella Charlotte Abigail Isabella

Evelyn is a knave, Aurora is a knave, Ella is a knave, Charlotte is a knave, Abigail is a knave, and Isabella is a knight.

(1) Evelyn is a knave
(2) Aurora is a knave
(3) Ella is a knave
(4) Charlotte is a knave
(5) Abigail is a knave
(6) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Matthew, Oliver, Ava, Logan, and Noah. Elizabeth was heard saying, "If Oliver is a knight then Ava is a knight". Matthew was heard saying, "Ava is a knave if and only if Elizabeth is a knave". In Oliver's words: "Elizabeth is a knight". In a statement by Ava: "Logan is a knight and Ava is a knight". Logan remarked, "Ava is a knave if and only if Oliver is a knave". "Matthew is not a knave," Noah mentioned. So who is a knight and who is a knave?

Elizabeth is a knight, Matthew is a knight, Oliver is a knight, Ava is a knight, Logan is a knight, and Noah is a knight.

(1) Elizabeth is a knight
(2) Matthew is a knight
(3) Oliver is a knight
(4) Ava is a knight
(5) Logan is a knight
(6) Noah is a knight

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

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

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

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

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

Assume Noah is a knight. No contradiction is found in their claim that Matthew 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 6 inhabitants: Sebastian, Jack, Ethan, Penelope, Sofia, and Luke. In a statement by Sebastian: "Jack is a knight if and only if Ethan is a knave". "Penelope is a knight if and only if Penelope is a knave," Jack declared. Ethan remarked, "Penelope is a knave". Penelope noted, "Jack is a knave and Sofia is a knave". As Sofia put it, "Sebastian is a knave or Luke is a knight". "Penelope is a knave or Jack is a knave," Luke claimed. So who is a knight and who is a knave?

Sebastian Jack Ethan Penelope Sofia Luke

Sebastian is a knight, Jack is a knave, Ethan is a knight, Penelope is a knave, Sofia is a knight, and Luke is a knight.

(1) Sebastian is a knight
(2) Jack is a knave
(3) Ethan is a knight
(4) Penelope is a knave
(5) Sofia is a knight
(6) Luke is a knight

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Jack is a knave and Sofia is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, William, Emma, Benjamin, Isabella, and Mia. Ethan stated, "Benjamin is a knave or William is a knave". William asserted: "Mia is a knight if and only if Isabella is a knight". "Mia is a knave and Isabella is a knight," Emma claimed. Benjamin commented, "William is a knight and Mia is a knight". Isabella commented, "If Benjamin is a knight then Emma is a knave". Mia told you that Isabella is a knight. So who is a knight and who is a knave?

Ethan William Emma Benjamin Isabella Mia

Ethan is a knave, William is a knight, Emma is a knave, Benjamin is a knight, Isabella is a knight, and Mia is a knight.

(1) Ethan is a knave
(2) William is a knight
(3) Emma is a knave
(4) Benjamin is a knight
(5) Isabella is a knight
(6) Mia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Mia is a knave and Isabella 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 6 inhabitants: Logan, Olivia, Aiden, Charlotte, Jacob, and Zoey. Logan stated, "Jacob is a knight". Olivia noted, "Aiden is a knight or Zoey is a knave". "If Logan is a knight then Olivia is a knight" - Aiden. Charlotte remarked, "Zoey is a knight or Olivia is a knight". As Jacob put it, "Aiden is a knave or Charlotte is a knave". According to Zoey, "Jacob is a knave if and only if Logan is a knight". So who is a knight and who is a knave?

Logan is a knave, Olivia is a knight, Aiden is a knight, Charlotte is a knight, Jacob is a knave, and Zoey is a knave.

(1) Logan is a knave
(2) Olivia is a knight
(3) Aiden is a knight
(4) Charlotte is a knight
(5) Jacob is a knave
(6) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Aiden is a knave or Charlotte is a knave.

Assume Charlotte is a knight. No contradiction is found in their claim that Zoey is a knight or Olivia 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 6 inhabitants: Charlotte, Benjamin, Sebastian, Daniel, James, and Mia. "If James is a knight then Sebastian is a knave," Charlotte declared. Benjamin asserted: "Sebastian is a knave". Sebastian stated, "James is a knight". Daniel remarked, "Mia is a knave if and only if Sebastian is a knight". James stated, "Mia is a knight". Mia was heard saying, "Daniel is a knave or James is a knight". So who is a knight and who is a knave?

Charlotte Benjamin Sebastian Daniel James Mia

Charlotte is a knave, Benjamin is a knave, Sebastian is a knight, Daniel is a knave, James is a knight, and Mia is a knight.

(1) Charlotte is a knave
(2) Benjamin is a knave
(3) Sebastian is a knight
(4) Daniel is a knave
(5) James is a knight
(6) Mia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Sophia, Riley, Jackson, Jack, and Benjamin. James told you that If Jackson is a knave then Riley is a knave. As Sophia put it, "Riley is a knave if and only if James is a knave". In a statement by Riley: "Benjamin is a knave or Benjamin is a knight". Jackson expressed that Benjamin is a knave or Benjamin is a knight. Jack expressed that James is not a knight. Benjamin noted, "If Sophia is a knight then Jack is a knight". So who is a knight and who is a knave?

James Sophia Riley Jackson Jack Benjamin

James is a knight, Sophia is a knight, Riley is a knight, Jackson is a knight, Jack is a knave, and Benjamin is a knave.

(1) James is a knight
(2) Sophia is a knight
(3) Riley is a knight
(4) Jackson is a knight
(5) Jack is a knave
(6) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, Mia, Amelia, Abigail, Scarlett, and Aurora. In Grace's words: "Scarlett is a knave or Aurora is a knight". In a statement by Mia: "Scarlett is a knight if and only if Abigail is a knight". Amelia stated, "Abigail is a knave or Grace is a knave". "Grace is a knave and Aurora is a knight," Abigail claimed. Scarlett noted, "Aurora is a knave and Grace is a knight". "Abigail is a knave" - Aurora. So who is a knight and who is a knave?

Grace Mia Amelia Abigail Scarlett Aurora

Grace is a knight, Mia is a knight, Amelia is a knight, Abigail is a knave, Scarlett is a knave, and Aurora is a knight.

(1) Grace is a knight
(2) Mia is a knight
(3) Amelia is a knight
(4) Abigail is a knave
(5) Scarlett is a knave
(6) Aurora is a knight

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

Assume Scarlett is a knight. No contradiction is found in their claim that Aurora is a knave and Grace is a knight.

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Abigail is a knave or 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 6 inhabitants: Sofia, Riley, Lucas, Liam, Jackson, and Scarlett. "Liam is not a knight" - Sofia. "Sofia is a knave or Lucas is a knave," Riley declared. Lucas said that If Jackson is a knight then Scarlett is a knight. Liam was heard saying, "Scarlett is a knave". Jackson stated, "If Liam is a knave then Riley is a knight". According to Scarlett, "Lucas is a knave if and only if Sofia is a knight". So who is a knight and who is a knave?

Sofia is a knave, Riley is a knight, Lucas is a knave, Liam is a knight, Jackson is a knight, and Scarlett is a knave.

(1) Sofia is a knave
(2) Riley is a knight
(3) Lucas is a knave
(4) Liam is a knight
(5) Jackson is a knight
(6) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jacob, Chloe, Daniel, Ava, Aria, and Penelope. Jacob commented, "Daniel is a knight if and only if Jacob is a knight". Chloe was heard saying, "If Penelope is a knight then Jacob is a knave". Daniel was heard saying, "If Jacob is a knave then Chloe is a knave". Ava stated, "Daniel is a knight and Chloe is a knave". As Aria put it, "Penelope is a knave and Penelope is a knight". Penelope remarked, "Penelope is a knight if and only if Ava is a knight". So who is a knight and who is a knave?

Jacob is a knight, Chloe is a knave, Daniel is a knight, Ava is a knight, Aria is a knave, and Penelope is a knight.

(1) Jacob is a knight
(2) Chloe is a knave
(3) Daniel is a knight
(4) Ava is a knight
(5) Aria is a knave
(6) Penelope is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that Penelope is a knave and Penelope 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 6 inhabitants: Jacob, Jack, Elizabeth, Mia, Zoey, and Mason. Jacob noted, "Jack is not a knave". Jack was heard saying, "Zoey is a knave and Jacob is a knave". "Mia is a knave," Elizabeth claimed. In a statement by Mia: "Zoey is not a knight". Zoey was heard saying, "Elizabeth is a knight". Mason asserted: "Zoey is not a knight". So who is a knight and who is a knave?

Jacob is a knave, Jack is a knave, Elizabeth is a knight, Mia is a knave, Zoey is a knight, and Mason is a knave.

(1) Jacob is a knave
(2) Jack is a knave
(3) Elizabeth is a knight
(4) Mia is a knave
(5) Zoey is a knight
(6) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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