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, Lily, Isabella, Logan, Charlotte, and Owen. David asserted: "Lily is a knave and Isabella is a knave". In Lily's words: "Charlotte is not a knight". Isabella noted, "Lily is a knight or Logan is a knave". According to Logan, "Logan is a knight and David is a knight". Charlotte said, "Owen is a knave if and only if Lily is a knight." Owen told you that Isabella is a knave if and only if Charlotte is a knave. So who is a knight and who is a knave?

David Lily Isabella Logan Charlotte Owen

David is a knave, Lily is a knave, Isabella is a knight, Logan is a knave, Charlotte is a knight, and Owen is a knight.

(1) David is a knave
(2) Lily is a knave
(3) Isabella is a knight
(4) Logan is a knave
(5) Charlotte is a knight
(6) Owen is a knight

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

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

Assume Lily 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 Owen is a knave if and only if Lily is a knight.

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

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

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

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

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

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

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

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

Assume David is a knave. No contradiction is found in their false claim that Lily is a knave and Isabella is a knave.

Assume Lily 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 Lily that Charlotte is not a knight.

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

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

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

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

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

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

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

Assume Logan is a knave. No contradiction is found in their false claim that Logan is a knight and David 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: Chloe, Sofia, Harper, Charlotte, James, and Olivia. Chloe expressed that James is a knight if and only if Harper is a knave. "Olivia is a knave and Chloe is a knight," Sofia declared. As Harper put it, "If Chloe is a knave then Sofia is a knight". In a statement by Charlotte: "If Sofia is a knave then Olivia is a knave". "Harper is a knight if and only if Olivia is a knight," James mentioned. As Olivia put it, "Harper is a knight if and only if Charlotte is a knave". So who is a knight and who is a knave?

Chloe Sofia Harper Charlotte James Olivia

Chloe is a knight, Sofia is a knight, Harper is a knight, Charlotte is a knight, James is a knave, and Olivia is a knave.

(1) Chloe is a knight
(2) Sofia is a knight
(3) Harper is a knight
(4) Charlotte is a knight
(5) James is a knave
(6) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, Isabella, Avery, Lily, Mason, and Scarlett. Aurora said that Aurora is a knight and Scarlett is a knight. Isabella said that Avery is a knight. Avery told you that Lily is a knave if and only if Aurora is a knight. Lily noted, "Aurora is a knave and Mason is a knight". Mason stated, "Scarlett is not a knave". "Lily is not a knight," Scarlett mentioned. So who is a knight and who is a knave?

Aurora Isabella Avery Lily Mason Scarlett

Aurora is a knight, Isabella is a knight, Avery is a knight, Lily is a knave, Mason is a knight, and Scarlett is a knight.

(1) Aurora is a knight
(2) Isabella is a knight
(3) Avery is a knight
(4) Lily is a knave
(5) Mason is a knight
(6) Scarlett is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jack, Daniel, Sofia, Charlotte, Alexander, and Abigail. Jack said that If Charlotte is a knight then Abigail is a knight. Daniel asserted: "If Sofia is a knave then Charlotte is a knight". Sofia remarked, "Daniel is a knight if and only if Alexander is a knave". Charlotte stated, "Abigail is not a knave". Alexander stated, "Abigail is not a knight". Abigail told you that Alexander is not a knight. So who is a knight and who is a knave?

Jack Daniel Sofia Charlotte Alexander Abigail

Jack is a knight, Daniel is a knight, Sofia is a knight, Charlotte is a knight, Alexander is a knave, and Abigail is a knight.

(1) Jack is a knight
(2) Daniel is a knight
(3) Sofia is a knight
(4) Charlotte is a knight
(5) Alexander is a knave
(6) Abigail is a knight

Assume Jack is a knight. No contradiction is found in their claim that If Charlotte is a knight then Abigail is a knight.

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Alexander 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: Sophia, Joseph, Chloe, Riley, Ava, and Daniel. Sophia commented, "Riley is a knave and Joseph is a knave". According to Joseph, "Daniel is not a knave". Chloe commented, "If Sophia is a knight then Daniel is a knave". Riley noted, "Ava is a knave if and only if Daniel is a knight". "Sophia is a knave or Joseph is a knave" - Ava. Daniel asserted: "Riley is a knave and Chloe is a knave". So who is a knight and who is a knave?

Sophia is a knave, Joseph is a knave, Chloe is a knight, Riley is a knight, Ava is a knight, and Daniel is a knave.

(1) Sophia is a knave
(2) Joseph is a knave
(3) Chloe is a knight
(4) Riley is a knight
(5) Ava is a knight
(6) Daniel is a knave

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Sophia is a knave or Joseph is a knave.

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

We have exhausted all possibilities for Joseph, Ava, and 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 and Joseph is a knave.

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Riley is a knave and Chloe is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aiden, Aria, Samuel, Logan, Oliver, and Luke. "Aria is a knight and Logan is a knight," Aiden declared. According to Aria, "Aiden is a knight if and only if Aria is a knight". Samuel said, "Logan is a knight if and only if Aiden is a knight." Logan said that Luke is not a knave. Oliver stated, "Logan is a knight if and only if Aria is a knight". Luke remarked, "Aiden is not a knave". So who is a knight and who is a knave?

Aiden is a knight, Aria is a knight, Samuel is a knight, Logan is a knight, Oliver is a knight, and Luke is a knight.

(1) Aiden is a knight
(2) Aria is a knight
(3) Samuel is a knight
(4) Logan is a knight
(5) Oliver is a knight
(6) Luke is a knight

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that Logan is a knight if and only if Aria 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: Emma, Mia, Scarlett, William, Joseph, and Isabella. "If Isabella is a knave then Mia is a knight" - Emma. Mia noted, "If Scarlett is a knight then William is a knave". As Scarlett put it, "Joseph is a knave or Emma is a knave". William commented, "Emma is a knave and Isabella is a knight". "Mia is a knight and Emma is a knave," Joseph claimed. In a statement by Isabella: "If Scarlett is a knight then Mia is a knight". So who is a knight and who is a knave?

Emma Mia Scarlett William Joseph Isabella

Emma is a knight, Mia is a knight, Scarlett is a knight, William is a knave, Joseph is a knave, and Isabella is a knight.

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

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

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Emma 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: Aiden, Sofia, Jacob, Henry, Evelyn, and Mason. "Sofia is a knave," Aiden mentioned. Sofia expressed that If Aiden is a knave then Henry is a knight. Jacob was heard saying, "Mason is a knight and Jacob is a knight". "Evelyn is a knight" - Henry. Evelyn stated, "If Mason is a knight then Jacob is a knight". Mason expressed that Jacob is a knave or Evelyn is a knight. So who is a knight and who is a knave?

Aiden is a knave, Sofia is a knight, Jacob is a knight, Henry is a knight, Evelyn is a knight, and Mason is a knight.

(1) Aiden is a knave
(2) Sofia is a knight
(3) Jacob is a knight
(4) Henry is a knight
(5) Evelyn is a knight
(6) Mason is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Aria, Samuel, Isabella, Mason, and Alexander. Scarlett said, "Alexander is a knight." Aria asserted: "If Alexander is a knight then Mason is a knave". According to Samuel, "Alexander is not a knave". Isabella asserted: "If Mason is a knight then Samuel is a knave". "Alexander is a knight," Mason claimed. Alexander remarked, "Aria is a knave or Isabella is a knight". So who is a knight and who is a knave?

Scarlett Aria Samuel Isabella Mason Alexander

Scarlett is a knight, Aria is a knave, Samuel is a knight, Isabella is a knave, Mason is a knight, and Alexander is a knight.

(1) Scarlett is a knight
(2) Aria is a knave
(3) Samuel is a knight
(4) Isabella is a knave
(5) Mason is a knight
(6) Alexander is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Jacob, Samuel, Abigail, Matthew, and Emma. "Abigail is not a knight," Oliver mentioned. "Abigail is a knave or Oliver is a knave" - Jacob. Samuel was heard saying, "Oliver is not a knave". In Abigail's words: "Samuel is a knave and Matthew is a knave". In a statement by Matthew: "Emma is a knight or Jacob is a knave". Emma told you that Jacob is a knight and Abigail is a knight. So who is a knight and who is a knave?

Oliver Jacob Samuel Abigail Matthew Emma

Oliver is a knight, Jacob is a knight, Samuel is a knight, Abigail is a knave, Matthew is a knave, and Emma is a knave.

(1) Oliver is a knight
(2) Jacob is a knight
(3) Samuel is a knight
(4) Abigail is a knave
(5) Matthew is a knave
(6) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: David, Emma, Sebastian, Samuel, Noah, and Ella. As David put it, "Ella is a knave or Emma is a knight". According to Emma, "Sebastian is a knave and David is a knave". Sebastian expressed that If Noah is a knave then Ella is a knave. "Emma is a knave or Noah is a knave," Samuel claimed. According to Noah, "David is a knave or Samuel is a knave". "Emma is a knight" - Ella. So who is a knight and who is a knave?

David is a knight, Emma is a knave, Sebastian is a knight, Samuel is a knight, Noah is a knave, and Ella is a knave.

(1) David is a knight
(2) Emma is a knave
(3) Sebastian is a knight
(4) Samuel is a knight
(5) Noah is a knave
(6) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Logan, Aurora, Samuel, Harper, Ava, and Charlotte. Logan said, "Harper is not a knight." Aurora stated, "Harper is not a knight". Samuel noted, "If Logan is a knight then Logan is a knave". In a statement by Harper: "Ava is a knight". Ava stated, "Samuel is a knave and Aurora is a knave". Charlotte told you that Ava is not a knave. So who is a knight and who is a knave?

Logan Aurora Samuel Harper Ava Charlotte

Logan is a knight, Aurora is a knight, Samuel is a knave, Harper is a knave, Ava is a knave, and Charlotte is a knave.

(1) Logan is a knight
(2) Aurora is a knight
(3) Samuel is a knave
(4) Harper is a knave
(5) Ava is a knave
(6) Charlotte is a knave

Assume Logan 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 Logan that Harper is not a knight.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, Scarlett, Sofia, Harper, Daniel, and Matthew. As Sebastian put it, "Harper is a knight or Matthew is a knight". According to Scarlett, "Daniel is not a knight". Sofia expressed that Matthew is a knave or Sofia is a knight. Harper asserted: "Sofia is not a knave". According to Daniel, "Sebastian is not a knight". "Daniel is a knave and Scarlett is a knave" - Matthew. So who is a knight and who is a knave?

Sebastian Scarlett Sofia Harper Daniel Matthew

Sebastian is a knight, Scarlett is a knight, Sofia is a knight, Harper is a knight, Daniel is a knave, and Matthew is a knave.

(1) Sebastian is a knight
(2) Scarlett is a knight
(3) Sofia is a knight
(4) Harper is a knight
(5) Daniel is a knave
(6) Matthew is a knave

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

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

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

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

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

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

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

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Daniel is a knave and Scarlett is a knave.

Assume Scarlett is a knight. No contradiction is found in their claim that Daniel 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: Amelia, Grace, Benjamin, Emily, Charlotte, and Henry. Amelia was heard saying, "Emily is a knave and Henry is a knave". Grace said, "If Henry is a knight then Benjamin is a knight." Benjamin remarked, "Benjamin is a knight or Charlotte is a knight". According to Emily, "If Grace is a knight then Grace is a knave". Charlotte expressed that Henry is a knight and Benjamin is a knave. Henry asserted: "Benjamin is a knave and Grace is a knight". So who is a knight and who is a knave?

Amelia Grace Benjamin Emily Charlotte Henry

Amelia is a knight, Grace is a knight, Benjamin is a knight, Emily is a knave, Charlotte is a knave, and Henry is a knave.

(1) Amelia is a knight
(2) Grace is a knight
(3) Benjamin is a knight
(4) Emily is a knave
(5) Charlotte is a knave
(6) Henry is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Aurora, Owen, Evelyn, Jacob, and Sofia. "Owen is a knight," Samuel claimed. As Aurora put it, "If Sofia is a knight then Jacob is a knave". As Owen put it, "Jacob is a knave and Aurora is a knight". Evelyn expressed that Aurora is not a knight. In Jacob's words: "Samuel is a knave and Owen is a knave". Sofia said that If Jacob is a knight then Evelyn is a knave. So who is a knight and who is a knave?

Samuel is a knight, Aurora is a knight, Owen is a knight, Evelyn is a knave, Jacob is a knave, and Sofia is a knight.

(1) Samuel is a knight
(2) Aurora is a knight
(3) Owen is a knight
(4) Evelyn is a knave
(5) Jacob is a knave
(6) Sofia is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Grace, Chloe, Aria, Victoria, and Emma. "Chloe is a knight or Victoria is a knave," Oliver claimed. As Grace put it, "If Victoria is a knave then Emma is a knight". Chloe said, "If Emma is a knight then Emma is a knave." Aria commented, "Aria is a knight if and only if Oliver is a knight". Victoria stated, "Grace is a knight or Chloe is a knight". According to Emma, "Chloe is a knight and Aria is a knave". So who is a knight and who is a knave?

Oliver is a knight, Grace is a knight, Chloe is a knight, Aria is a knight, Victoria is a knight, and Emma is a knave.

(1) Oliver is a knight
(2) Grace is a knight
(3) Chloe is a knight
(4) Aria is a knight
(5) Victoria is a knight
(6) Emma is a knave

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

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Grace is a knight or Chloe is a knight.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Aiden, Ava, Olivia, Lucas, and Oliver. James was heard saying, "Ava is a knight or Aiden is a knave". "If Ava is a knight then Oliver is a knave," Aiden declared. Ava noted, "James is a knave or Oliver is a knight". Olivia expressed that Ava is a knight. In Lucas's words: "Oliver is a knave and Ava is a knight". In a statement by Oliver: "If James is a knave then Lucas is a knight". So who is a knight and who is a knave?

James is a knight, Aiden is a knave, Ava is a knight, Olivia is a knight, Lucas is a knave, and Oliver is a knight.

(1) James is a knight
(2) Aiden is a knave
(3) Ava is a knight
(4) Olivia is a knight
(5) Lucas is a knave
(6) Oliver is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Aiden, David, Owen, Olivia, and Matthew. "Olivia is a knight or David is a knight" - Ethan. Aiden stated, "Olivia is a knight". "David is a knight if and only if Olivia is a knight," David claimed. According to Owen, "Olivia is a knight or Ethan is a knave". "Matthew is a knight if and only if Olivia is a knight," Olivia mentioned. Matthew commented, "David is not a knight". So who is a knight and who is a knave?

Ethan is a knight, Aiden is a knight, David is a knave, Owen is a knight, Olivia is a knight, and Matthew is a knight.

(1) Ethan is a knight
(2) Aiden is a knight
(3) David is a knave
(4) Owen is a knight
(5) Olivia is a knight
(6) Matthew is a knight

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

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

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

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

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

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

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

(('or', ('telling-truth', 4), ('telling-truth', 2)), ('telling-truth', 4), ('<=>', ('telling-truth', 2), ('telling-truth', 4)), ('or', ('telling-truth', 4), ('lying', 0)), ('<=>', ('telling-truth', 5), ('telling-truth', 4)), ('not', ('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: Alexander, Liam, Jacob, Owen, Lucas, and Charlotte. "Jacob is a knight or Lucas is a knight," Alexander claimed. "Lucas is a knave," Liam claimed. "Lucas is a knave," Jacob claimed. In a statement by Owen: "Alexander is not a knave". "If Charlotte is a knave then Lucas is a knight," Lucas mentioned. "Alexander is not a knave," Charlotte declared. So who is a knight and who is a knave?

Alexander Liam Jacob Owen Lucas Charlotte

Alexander is a knight, Liam is a knave, Jacob is a knave, Owen is a knight, Lucas is a knight, and Charlotte is a knight.

(1) Alexander is a knight
(2) Liam is a knave
(3) Jacob is a knave
(4) Owen is a knight
(5) Lucas is a knight
(6) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: William, Grace, Owen, Jack, James, and Evelyn. "Evelyn is a knave and Jack is a knight," William claimed. Grace told you that Evelyn is a knave or William is a knight. "James is a knave and Evelyn is a knave," Owen declared. Jack asserted: "If Owen is a knight then Evelyn is a knight". James was heard saying, "Owen is not a knight". Evelyn told you that Jack is a knight if and only if Owen is a knave. So who is a knight and who is a knave?

William is a knave, Grace is a knave, Owen is a knave, Jack is a knight, James is a knight, and Evelyn is a knight.

(1) William is a knave
(2) Grace is a knave
(3) Owen is a knave
(4) Jack is a knight
(5) James is a knight
(6) Evelyn is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace is a knave. No contradiction is found in their false claim that Evelyn is a knave or William 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: Noah, Joseph, Isabella, Sophia, Emma, and James. "Emma is a knight or Isabella is a knight," Noah declared. In a statement by Joseph: "Isabella is a knight". Isabella stated, "James is a knave". "James is a knight" - Sophia. "Isabella is a knight," Emma declared. "Sophia is a knight if and only if Noah is a knave," James claimed. So who is a knight and who is a knave?

Noah is a knave, Joseph is a knave, Isabella is a knave, Sophia is a knight, Emma is a knave, and James is a knight.

(1) Noah is a knave
(2) Joseph is a knave
(3) Isabella is a knave
(4) Sophia is a knight
(5) Emma is a knave
(6) James is a knight

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

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

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

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

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

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

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

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

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

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

Assume Emma 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 false claim of Emma that Isabella is a knight.

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

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

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 4), ('telling-truth', 2)), ('telling-truth', 2), ('lying', 5), ('telling-truth', 5), ('telling-truth', 2), ('<=>', ('telling-truth', 3), ('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: Noah, Liam, Mia, Harper, Sebastian, and Jackson. "Sebastian is a knight," Noah mentioned. Liam expressed that Harper is a knight and Harper is a knave. In a statement by Mia: "Sebastian is a knight and Harper is a knave". Harper was heard saying, "Noah is a knave and Mia is a knight". "Noah is a knight and Harper is a knight," Sebastian mentioned. Jackson commented, "Liam is a knight and Sebastian is a knave". So who is a knight and who is a knave?

Noah is a knave, Liam is a knave, Mia is a knave, Harper is a knave, Sebastian is a knave, and Jackson is a knave.

(1) Noah is a knave
(2) Liam is a knave
(3) Mia is a knave
(4) Harper is a knave
(5) Sebastian is a knave
(6) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('telling-truth', 4), ('and', ('telling-truth', 3), ('lying', 3)), ('and', ('telling-truth', 4), ('lying', 3)), ('and', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('telling-truth', 1), ('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: Liam, William, Victoria, Michael, Evelyn, and Charlotte. In Liam's words: "Charlotte is a knight or Evelyn is a knight". "If Charlotte is a knave then Michael is a knight" - William. Victoria noted, "Liam is a knight". Michael expressed that William is a knave if and only if Victoria is a knave. "William is a knight and Liam is a knight," Evelyn claimed. Charlotte remarked, "Victoria is not a knight". So who is a knight and who is a knave?

Liam William Victoria Michael Evelyn Charlotte

Liam is a knight, William is a knight, Victoria is a knight, Michael is a knight, Evelyn is a knight, and Charlotte is a knave.

(1) Liam is a knight
(2) William is a knight
(3) Victoria is a knight
(4) Michael is a knight
(5) Evelyn is a knight
(6) Charlotte is a knave

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

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

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

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

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that William is a knight and Liam is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Abigail, Ethan, Evelyn, Mason, and Alexander. Michael told you that Evelyn is a knave. In a statement by Abigail: "Evelyn is a knave or Alexander is a knave". Ethan stated, "Michael is a knight or Alexander is a knave". "Michael is a knight or Mason is a knave," Evelyn declared. Mason commented, "Abigail is a knave if and only if Ethan is a knight". "Michael is a knave or Michael is a knight" - Alexander. So who is a knight and who is a knave?

Michael Abigail Ethan Evelyn Mason Alexander

Michael is a knave, Abigail is a knave, Ethan is a knave, Evelyn is a knight, Mason is a knave, and Alexander is a knight.

(1) Michael is a knave
(2) Abigail is a knave
(3) Ethan is a knave
(4) Evelyn is a knight
(5) Mason is a knave
(6) Alexander is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Abigail is a knave. No contradiction is found in their false claim that Evelyn is a knave or Alexander is a knave.

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that Michael is a knight or Alexander 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, Elizabeth, Henry, Evelyn, Ethan, and Sophia. Benjamin expressed that Elizabeth is a knight if and only if Benjamin is a knight. Elizabeth was heard saying, "Evelyn is a knave or Henry is a knight". In Henry's words: "If Sophia is a knave then Benjamin is a knight". Evelyn said that Ethan is a knave if and only if Benjamin is a knight. "Elizabeth is not a knave," Ethan claimed. "Henry is a knave or Elizabeth is a knave" - Sophia. So who is a knight and who is a knave?

Benjamin Elizabeth Henry Evelyn Ethan Sophia

Benjamin is a knight, Elizabeth is a knight, Henry is a knight, Evelyn is a knave, Ethan is a knight, and Sophia is a knave.

(1) Benjamin is a knight
(2) Elizabeth is a knight
(3) Henry is a knight
(4) Evelyn is a knave
(5) Ethan is a knight
(6) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

Assume Sophia is a knave. No contradiction is found in their false claim that Henry is a knave or Elizabeth 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: Elizabeth, Zoey, Benjamin, Alexander, Lily, and Olivia. "If Elizabeth is a knight then Olivia is a knight," Elizabeth mentioned. Zoey was heard saying, "Benjamin is not a knave". "Alexander is a knight and Olivia is a knave," Benjamin mentioned. Alexander stated, "Benjamin is a knave". According to Lily, "Elizabeth is a knight or Olivia is a knave". Olivia expressed that Olivia is a knight or Elizabeth is a knave. So who is a knight and who is a knave?

Elizabeth Zoey Benjamin Alexander Lily Olivia

Elizabeth is a knight, Zoey is a knave, Benjamin is a knave, Alexander is a knight, Lily is a knight, and Olivia is a knight.

(1) Elizabeth is a knight
(2) Zoey is a knave
(3) Benjamin is a knave
(4) Alexander is a knight
(5) Lily is a knight
(6) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aurora, William, Sophia, Benjamin, Jack, and James. Aurora said, "Sophia is a knave if and only if Jack is a knave." In William's words: "James is a knight if and only if Benjamin is a knight". Sophia expressed that Benjamin is a knave. In a statement by Benjamin: "Benjamin is a knight and Aurora is a knight". As Jack put it, "If William is a knight then James is a knight". In James's words: "If Jack is a knight then Aurora is a knight". So who is a knight and who is a knave?

Aurora William Sophia Benjamin Jack James

Aurora is a knight, William is a knave, Sophia is a knight, Benjamin is a knave, Jack is a knight, and James is a knight.

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that If Jack is a knight then Aurora 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: Michael, Aurora, Liam, Aiden, Sophia, and Luke. Michael stated, "Sophia is a knight". "Liam is a knave or Aiden is a knave," Aurora claimed. Liam said that Luke is a knave and Sophia is a knight. In Aiden's words: "Aurora is a knight if and only if Liam is a knave". Sophia told you that Aiden is a knave if and only if Aiden is a knight. Luke expressed that If Michael is a knight then Aurora is a knave. So who is a knight and who is a knave?

Michael is a knave, Aurora is a knight, Liam is a knave, Aiden is a knight, Sophia is a knave, and Luke is a knight.

(1) Michael is a knave
(2) Aurora is a knight
(3) Liam is a knave
(4) Aiden is a knight
(5) Sophia is a knave
(6) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Lucas, Emma, Sofia, Jacob, Matthew, and Luke. According to Lucas, "Emma is a knave and Luke is a knight". "If Matthew is a knave then Luke is a knight," Emma declared. "Matthew is a knave and Sofia is a knight," Sofia mentioned. In a statement by Jacob: "Jacob is a knight or Sofia is a knave". In Matthew's words: "Emma is a knave or Emma is a knight". "Lucas is a knave," Luke mentioned. So who is a knight and who is a knave?

Lucas is a knave, Emma is a knight, Sofia is a knave, Jacob is a knight, Matthew is a knight, and Luke is a knight.

(1) Lucas is a knave
(2) Emma is a knight
(3) Sofia is a knave
(4) Jacob is a knight
(5) Matthew is a knight
(6) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that Jacob is a knight or 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: Jack, Amelia, Penelope, Scarlett, Elizabeth, and Evelyn. In Jack's words: "Amelia is a knight if and only if Amelia is a knave". Amelia expressed that Elizabeth is a knight if and only if Elizabeth is a knave. According to Penelope, "Scarlett is a knight or Evelyn is a knight". "Amelia is a knave," Scarlett declared. "Evelyn is a knave if and only if Penelope is a knight," Elizabeth claimed. Evelyn commented, "Scarlett is a knave". So who is a knight and who is a knave?

Jack Amelia Penelope Scarlett Elizabeth Evelyn

Jack is a knave, Amelia is a knave, Penelope is a knight, Scarlett is a knight, Elizabeth is a knight, and Evelyn is a knave.

(1) Jack is a knave
(2) Amelia is a knave
(3) Penelope is a knight
(4) Scarlett is a knight
(5) Elizabeth is a knight
(6) Evelyn is a knave

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

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

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

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

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

Assume Evelyn 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 Evelyn that Scarlett is a knave.

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

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

Assume Evelyn 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 Amelia is a knave.

Assume Penelope is a knight. No contradiction is found in their claim that Scarlett is a knight or Evelyn 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: Aria, Aurora, Logan, Grace, Owen, and Alexander. In Aria's words: "Logan is a knave and Aurora is a knave". Aurora said that If Grace is a knave then Owen is a knight. Logan said that If Owen is a knight then Aria is a knave. Grace remarked, "Alexander is a knight if and only if Aurora is a knight". "Aria is a knight," Owen mentioned. In Alexander's words: "Aurora is a knight and Alexander is a knight". So who is a knight and who is a knave?

Aria is a knave, Aurora is a knight, Logan is a knight, Grace is a knight, Owen is a knave, and Alexander is a knight.

(1) Aria is a knave
(2) Aurora is a knight
(3) Logan is a knight
(4) Grace is a knight
(5) Owen is a knave
(6) Alexander is a knight

Assume Aria is a knight. No contradiction is found in their claim that Logan is a knave and Aurora is a knave.

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that Logan is a knave and Aurora is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Victoria, Liam, Luke, Charlotte, Samuel, and Grace. Victoria remarked, "Charlotte is a knave or Luke is a knight". Liam expressed that If Charlotte is a knave then Victoria is a knight. "If Charlotte is a knave then Grace is a knight," Luke declared. As Charlotte put it, "Luke is a knight". According to Samuel, "Victoria is a knave if and only if Charlotte is a knight". "Charlotte is a knave if and only if Luke is a knave" - Grace. So who is a knight and who is a knave?

Victoria Liam Luke Charlotte Samuel Grace

Victoria is a knight, Liam is a knight, Luke is a knight, Charlotte is a knight, Samuel is a knave, and Grace is a knight.

(1) Victoria is a knight
(2) Liam is a knight
(3) Luke is a knight
(4) Charlotte is a knight
(5) Samuel is a knave
(6) Grace is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Charlotte, Daniel, Ella, Sophia, Evelyn, and Jacob. In a statement by Charlotte: "If Daniel is a knight then Sophia is a knight". Daniel asserted: "Sophia is a knight or Daniel is a knight". Ella told you that Daniel is a knave and Ella is a knight. "Charlotte is a knight and Daniel is a knave," Sophia claimed. "If Daniel is a knight then Jacob is a knave," Evelyn claimed. Jacob noted, "Daniel is not a knight". So who is a knight and who is a knave?

Charlotte Daniel Ella Sophia Evelyn Jacob

Charlotte is a knave, Daniel is a knight, Ella is a knave, Sophia is a knave, Evelyn is a knight, and Jacob is a knave.

(1) Charlotte is a knave
(2) Daniel is a knight
(3) Ella is a knave
(4) Sophia is a knave
(5) Evelyn is a knight
(6) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('->', ('telling-truth', 1), ('telling-truth', 3)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('and', ('lying', 1), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 5)), ('not', ('telling-truth', 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: Jackson, Oliver, Alexander, Victoria, Aiden, and Penelope. Jackson noted, "Victoria is not a knave". Oliver commented, "Jackson is not a knight". Alexander said, "Penelope is a knave." "Aiden is a knight," Victoria declared. Aiden was heard saying, "Victoria is a knave or Aiden is a knight". As Penelope put it, "Oliver is a knave if and only if Oliver is a knight". So who is a knight and who is a knave?

Jackson Oliver Alexander Victoria Aiden Penelope

Jackson is a knight, Oliver is a knave, Alexander is a knight, Victoria is a knight, Aiden is a knight, and Penelope is a knave.

(1) Jackson is a knight
(2) Oliver is a knave
(3) Alexander is a knight
(4) Victoria is a knight
(5) Aiden is a knight
(6) Penelope is a knave

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

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

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

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

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

Assume Alexander 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 Alexander that Penelope is a knave.

Assume Penelope is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if 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: Emily, Charlotte, Henry, Victoria, Isabella, and Aurora. Emily asserted: "Charlotte is a knight". Charlotte said, "Henry is a knight or Emily is a knave." Henry told you that Aurora is a knight. "Isabella is a knave if and only if Emily is a knight," Victoria mentioned. Isabella was heard saying, "Emily is a knight and Charlotte is a knight". "If Charlotte is a knight then Isabella is a knight," Aurora mentioned. So who is a knight and who is a knave?

Emily Charlotte Henry Victoria Isabella Aurora

Emily is a knight, Charlotte is a knight, Henry is a knight, Victoria is a knave, Isabella is a knight, and Aurora is a knight.

(1) Emily is a knight
(2) Charlotte is a knight
(3) Henry is a knight
(4) Victoria is a knave
(5) Isabella is a knight
(6) Aurora is a knight

Assume Emily 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 Henry is a knight or Emily is a knave.

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

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

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

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

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

(('telling-truth', 1), ('or', ('telling-truth', 2), ('lying', 0)), ('telling-truth', 5), ('<=>', ('lying', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('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: Sofia, Liam, Amelia, Zoey, Ava, and Harper. Sofia noted, "If Ava is a knave then Amelia is a knight". "Zoey is a knave," Liam claimed. "If Sofia is a knave then Zoey is a knave," Amelia declared. In a statement by Zoey: "Liam is a knave and Liam is a knight". Ava remarked, "Amelia is a knave and Sofia is a knight". "Sofia is a knave" - Harper. So who is a knight and who is a knave?

Sofia is a knight, Liam is a knight, Amelia is a knight, Zoey is a knave, Ava is a knave, and Harper is a knave.

(1) Sofia is a knight
(2) Liam is a knight
(3) Amelia is a knight
(4) Zoey is a knave
(5) Ava is a knave
(6) Harper is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knave. No contradiction is found in their false claim that 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: Abigail, Sofia, Owen, Jack, Sebastian, and Jackson. Abigail commented, "Jack is a knave if and only if Owen is a knave". Sofia was heard saying, "Abigail is a knight if and only if Sebastian is a knight". "Jackson is a knave and Abigail is a knave," Owen mentioned. "Owen is a knight if and only if Owen is a knave," Jack claimed. Sebastian said that Jack is a knave. Jackson was heard saying, "Jackson is a knight or Jack is a knave". So who is a knight and who is a knave?

Abigail Sofia Owen Jack Sebastian Jackson

Abigail is a knight, Sofia is a knight, Owen is a knave, Jack is a knave, Sebastian is a knight, and Jackson is a knight.

(1) Abigail is a knight
(2) Sofia is a knight
(3) Owen is a knave
(4) Jack is a knave
(5) Sebastian is a knight
(6) Jackson is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Daniel, Charlotte, Amelia, Grace, Ava, and Jack. Daniel asserted: "If Charlotte is a knight then Grace is a knave". Charlotte remarked, "Jack is a knight". Amelia said, "Jack is a knave and Grace is a knave." Grace expressed that Amelia is a knave if and only if Jack is a knave. Ava stated, "Amelia is a knight and Daniel is a knave". Jack remarked, "Grace is a knight and Amelia is a knave". So who is a knight and who is a knave?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Amelia is a knight and 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: Mia, Zoey, Mason, Emma, Abigail, and Samuel. As Mia put it, "Zoey is not a knave". "Abigail is not a knight" - Zoey. Mason expressed that Samuel is a knave and Mason is a knight. Emma asserted: "Abigail is a knave or Samuel is a knight". "Mia is a knave or Emma is a knight," Abigail declared. As Samuel put it, "If Mia is a knight then Emma is a knave". So who is a knight and who is a knave?

Mia is a knave, Zoey is a knave, Mason is a knave, Emma is a knight, Abigail is a knight, and Samuel is a knight.

(1) Mia is a knave
(2) Zoey is a knave
(3) Mason is a knave
(4) Emma is a knight
(5) Abigail is a knight
(6) Samuel is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Grace, Ava, Alexander, Emily, and Emma. "Grace is a knight if and only if Ava is a knight," Abigail claimed. "If Emma is a knave then Emily is a knave," Grace declared. "Grace is a knight" - Ava. In a statement by Alexander: "Ava is a knight and Grace is a knave". Emily told you that Ava is a knight or Alexander is a knave. According to Emma, "Grace is a knight or Emily is a knight". So who is a knight and who is a knave?

Abigail is a knight, Grace is a knight, Ava is a knight, Alexander is a knave, Emily is a knight, and Emma is a knight.

(1) Abigail is a knight
(2) Grace is a knight
(3) Ava is a knight
(4) Alexander is a knave
(5) Emily is a knight
(6) Emma is a knight

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

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

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

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

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Ava is a knight and 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: Daniel, Alexander, David, Emily, Charlotte, and Emma. Daniel was heard saying, "Emma is a knave or Emily is a knight". According to Alexander, "Daniel is not a knight". "Emily is a knave," David declared. In a statement by Emily: "Emma is a knave and Charlotte is a knave". In Charlotte's words: "Charlotte is a knight if and only if Daniel is a knight". "David is a knight" - Emma. So who is a knight and who is a knave?

Daniel Alexander David Emily Charlotte Emma

Daniel is a knight, Alexander is a knave, David is a knave, Emily is a knight, Charlotte is a knave, and Emma is a knave.

(1) Daniel is a knight
(2) Alexander is a knave
(3) David is a knave
(4) Emily is a knight
(5) Charlotte is a knave
(6) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Alexander is a knave. No contradiction is found in their false claim that Daniel 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: Harper, William, Olivia, Samuel, Chloe, and Ava. Harper was heard saying, "If Ava is a knave then Ava is a knight". William noted, "Ava is not a knight". Olivia expressed that Chloe is a knight or William is a knight. "William is not a knave" - Samuel. Chloe told you that Harper is a knave or Harper is a knight. "William is a knight and William is a knave" - Ava. So who is a knight and who is a knave?

Harper is a knave, William is a knight, Olivia is a knight, Samuel is a knight, Chloe is a knight, and Ava is a knave.

(1) Harper is a knave
(2) William is a knight
(3) Olivia is a knight
(4) Samuel is a knight
(5) Chloe is a knight
(6) Ava is a knave

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knight. No contradiction is found in their claim that William 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: Riley, Emma, Charlotte, Luke, Sebastian, and Abigail. Riley was heard saying, "Emma is not a knight". "Emma is a knight if and only if Riley is a knave," Emma mentioned. Charlotte was heard saying, "Sebastian is a knight or Riley is a knave". In a statement by Luke: "Emma is a knave and Riley is a knave". "Sebastian is a knight or Abigail is a knave," Sebastian declared. "Luke is a knight if and only if Emma is a knight," Abigail claimed. So who is a knight and who is a knave?

Riley Emma Charlotte Luke Sebastian Abigail

Riley is a knave, Emma is a knight, Charlotte is a knight, Luke is a knave, Sebastian is a knight, and Abigail is a knave.

(1) Riley is a knave
(2) Emma is a knight
(3) Charlotte is a knight
(4) Luke is a knave
(5) Sebastian is a knight
(6) Abigail is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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