A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Logan, Liam, and Sebastian. In Logan's words: "If Sebastian is a knight then Liam is a knave". "Logan is a knight if and only if Sebastian is a knave," Liam mentioned. "Logan is a knight," Sebastian declared. So who is a knight and who is a knave?

Logan is a knight, Liam is a knave, and Sebastian is a knight.

(1) Logan is a knight
(2) Liam is a knave
(3) Sebastian is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Elizabeth, Samuel, and Lily. Elizabeth commented, "If Samuel is a knave then Samuel is a knight". Samuel noted, "Elizabeth is a knight or Elizabeth is a knave". According to Lily, "Elizabeth is not a knave". So who is a knight and who is a knave?

Elizabeth is a knight, Samuel is a knight, and Lily is a knight.

(1) Elizabeth is a knight
(2) Samuel is a knight
(3) Lily is a knight

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

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

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

Assume Lily is a knight. No contradiction is found in their claim that Elizabeth 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 3 inhabitants: Jacob, James, and Sofia. Jacob said, "James is a knight." In a statement by James: "Sofia is a knight". As Sofia put it, "James is a knave or James is a knight". So who is a knight and who is a knave?

Jacob is a knight, James is a knight, and Sofia is a knight.

(1) Jacob is a knight
(2) James is a knight
(3) Sofia is a knight

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

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

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

(('telling-truth', 1), ('telling-truth', 2), ('or', ('lying', 1), ('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 3 inhabitants: Ava, Grace, and Daniel. "Ava is a knight if and only if Grace is a knight" - Ava. "Ava is not a knight," Grace declared. "Ava is a knight or Ava is a knave" - Daniel. So who is a knight and who is a knave?

Ava is a knave, Grace is a knight, and Daniel is a knight.

(1) Ava is a knave
(2) Grace is a knight
(3) Daniel is a knight

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0)), ('or', ('telling-truth', 0), ('lying', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Abigail, Sebastian, and Victoria. "If Abigail is a knight then Sebastian is a knight" - Abigail. "If Sebastian is a knight then Victoria is a knight" - Sebastian. Victoria said that Abigail is a knight. So who is a knight and who is a knave?

Abigail is a knight, Sebastian is a knight, and Victoria is a knight.

(1) Abigail is a knight
(2) Sebastian is a knight
(3) Victoria is a knight

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

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

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

(('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Evelyn, Alexander, and Jackson. Evelyn was heard saying, "Jackson is a knight or Evelyn is a knight". "Evelyn is a knave and Evelyn is a knight," Alexander mentioned. In a statement by Jackson: "Alexander is a knight or Evelyn is a knave". So who is a knight and who is a knave?

Evelyn is a knight, Alexander is a knave, and Jackson is a knave.

(1) Evelyn is a knight
(2) Alexander is a knave
(3) Jackson is a knave

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

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

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

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

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

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

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

(('or', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('lying', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Amelia, Matthew, and Chloe. Amelia said, "Matthew is a knave if and only if Chloe is a knight." Matthew remarked, "Chloe is a knight or Amelia is a knave". "If Matthew is a knight then Chloe is a knight," Chloe declared. So who is a knight and who is a knave?

Amelia is a knave, Matthew is a knight, and Chloe is a knight.

(1) Amelia is a knave
(2) Matthew is a knight
(3) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that If Matthew is a knight then Chloe 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 3 inhabitants: Daniel, Isabella, and Olivia. "Isabella is a knight if and only if Isabella is a knave," Daniel mentioned. Isabella said, "If Daniel is a knight then Olivia is a knave." Olivia asserted: "Isabella is a knave if and only if Daniel is a knight". So who is a knight and who is a knave?

Daniel is a knave, Isabella is a knight, and Olivia is a knight.

(1) Daniel is a knave
(2) Isabella is a knight
(3) Olivia is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Daniel, Isabella, and Matthew. According to Daniel, "Isabella is a knight if and only if Isabella is a knave". As Isabella put it, "Daniel is a knave and Matthew is a knight". In Matthew's words: "Daniel is not a knave". So who is a knight and who is a knave?

Daniel is a knave, Isabella is a knave, and Matthew is a knave.

(1) Daniel is a knave
(2) Isabella is a knave
(3) Matthew is a knave

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Matthew, Olivia, and Ethan. Matthew was heard saying, "If Ethan is a knight then Olivia is a knave". Olivia stated, "Ethan is not a knight". "Matthew is a knave and Ethan is a knight" - Ethan. So who is a knight and who is a knave?

Matthew is a knight, Olivia is a knight, and Ethan is a knave.

(1) Matthew is a knight
(2) Olivia is a knight
(3) Ethan is a knave

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

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Ethan 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 3 inhabitants: David, Isabella, and Michael. David remarked, "If Michael is a knight then Michael is a knave". Isabella said, "Michael is a knave or Michael is a knight." Michael noted, "Michael is a knight if and only if David is a knave". So who is a knight and who is a knave?

David is a knave, Isabella is a knight, and Michael is a knight.

(1) David is a knave
(2) Isabella is a knight
(3) Michael is a knight

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Michael is a knave or Michael 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 3 inhabitants: Ethan, Jackson, and Scarlett. In a statement by Ethan: "Scarlett is a knight". Jackson stated, "If Ethan is a knight then Scarlett is a knave". Scarlett told you that Jackson is a knave and Ethan is a knave. So who is a knight and who is a knave?

Ethan is a knave, Jackson is a knight, and Scarlett is a knave.

(1) Ethan is a knave
(2) Jackson is a knight
(3) Scarlett is a knave

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

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

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Jackson is a knave and Ethan is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Daniel, Mia, and Aurora. According to Daniel, "Aurora is a knight and Mia is a knave". Mia asserted: "Aurora is a knight or Daniel is a knave". "Mia is a knave if and only if Mia is a knight," Aurora mentioned. So who is a knight and who is a knave?

Daniel is a knave, Mia is a knight, and Aurora is a knave.

(1) Daniel is a knave
(2) Mia is a knight
(3) Aurora is a knave

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Owen, Jack, and Jackson. Owen was heard saying, "Jackson is a knight or Owen is a knight". Jack remarked, "Jackson is a knight or Jackson is a knave". Jackson noted, "If Jack is a knave then Owen is a knave". So who is a knight and who is a knave?

Owen is a knight, Jack is a knight, and Jackson is a knight.

(1) Owen is a knight
(2) Jack is a knight
(3) Jackson is a knight

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

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

Assume Jack is a knight. No contradiction is found in their claim that Jackson is a knight or Jackson 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 3 inhabitants: Harper, Ella, and David. "Ella is a knave if and only if Harper is a knight," Harper mentioned. In a statement by Ella: "Harper is a knight". "If David is a knight then Ella is a knave," David mentioned. So who is a knight and who is a knave?

Harper is a knave, Ella is a knave, and David is a knight.

(1) Harper is a knave
(2) Ella is a knave
(3) David is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Ava, Harper, and Benjamin. "Harper is a knave or Benjamin is a knave" - Ava. "Harper is a knight if and only if Benjamin is a knight" - Harper. "Ava is a knight," Benjamin declared. So who is a knight and who is a knave?

Ava is a knight, Harper is a knave, and Benjamin is a knight.

(1) Ava is a knight
(2) Harper is a knave
(3) Benjamin is a knight

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

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

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

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

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

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

Assume Benjamin 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 3 inhabitants: Jackson, Avery, and Matthew. As Jackson put it, "Matthew is a knight or Jackson is a knight". Avery told you that Jackson is not a knave. Matthew asserted: "Avery is a knight or Jackson is a knave". So who is a knight and who is a knave?

Jackson is a knight, Avery is a knight, and Matthew is a knight.

(1) Jackson is a knight
(2) Avery is a knight
(3) Matthew is a knight

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

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

Assume Avery is a knight. No contradiction is found in their claim that Jackson 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 3 inhabitants: Emma, Harper, and William. Emma said that William is not a knight. Harper noted, "If Harper is a knight then William is a knight". "Harper is a knight" - William. So who is a knight and who is a knave?

Emma is a knave, Harper is a knight, and William is a knight.

(1) Emma is a knave
(2) Harper is a knight
(3) William is a knight

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

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

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

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

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

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

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

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

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

(('not', ('telling-truth', 2)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('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 3 inhabitants: Ava, Amelia, and William. Ava asserted: "If Amelia is a knave then William is a knave". "William is a knave and Ava is a knave," Amelia declared. William stated, "Amelia is not a knight". So who is a knight and who is a knave?

Ava is a knave, Amelia is a knave, and William is a knight.

(1) Ava is a knave
(2) Amelia is a knave
(3) William is a knight

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

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that Amelia 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 3 inhabitants: Jacob, Zoey, and Sebastian. Jacob asserted: "Sebastian is not a knave". "Sebastian is a knight and Jacob is a knave," Zoey claimed. As Sebastian put it, "Zoey is a knave and Zoey is a knight". So who is a knight and who is a knave?

Jacob is a knave, Zoey is a knave, and Sebastian is a knave.

(1) Jacob is a knave
(2) Zoey is a knave
(3) Sebastian is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Sofia, William, and Mason. "If William is a knave then William is a knight" - Sofia. William asserted: "If Sofia is a knight then Mason is a knave". As Mason put it, "Mason is a knight". So who is a knight and who is a knave?

Sofia is a knight, William is a knight, and Mason is a knave.

(1) Sofia is a knight
(2) William is a knight
(3) Mason is a knave

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

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

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

Assume Mason is a knave. No contradiction is found in their false claim that 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 3 inhabitants: Amelia, Luke, and Matthew. In a statement by Amelia: "Luke is not a knave". "Amelia is a knight and Amelia is a knave," Luke declared. Matthew noted, "If Amelia is a knight then Luke is a knave". So who is a knight and who is a knave?

Amelia is a knave, Luke is a knave, and Matthew is a knight.

(1) Amelia is a knave
(2) Luke is a knave
(3) Matthew is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Scarlett, Evelyn, and Zoey. Scarlett said, "Evelyn is a knave and Zoey is a knave." In Evelyn's words: "Zoey is a knave". Zoey said, "If Scarlett is a knight then Scarlett is a knave." So who is a knight and who is a knave?

Scarlett is a knave, Evelyn is a knave, and Zoey is a knight.

(1) Scarlett is a knave
(2) Evelyn is a knave
(3) Zoey is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Evelyn, Benjamin, and Sofia. Evelyn noted, "Benjamin is not a knave". Benjamin expressed that Sofia is a knight if and only if Evelyn is a knave. Sofia noted, "Sofia is a knight if and only if Evelyn is a knight". So who is a knight and who is a knave?

Evelyn is a knight, Benjamin is a knight, and Sofia is a knave.

(1) Evelyn is a knight
(2) Benjamin is a knight
(3) Sofia is a knave

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight if and only if 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 3 inhabitants: Emma, Avery, and Elizabeth. Emma remarked, "If Avery is a knave then Avery is a knight". In a statement by Avery: "If Avery is a knight then Emma is a knight". "Elizabeth is a knight and Avery is a knave" - Elizabeth. So who is a knight and who is a knave?

Emma is a knight, Avery is a knight, and Elizabeth is a knave.

(1) Emma is a knight
(2) Avery is a knight
(3) Elizabeth is a knave

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Michael, Riley, and Sophia. In a statement by Michael: "Sophia is a knave or Riley is a knave". Riley noted, "Sophia is a knave". Sophia noted, "If Riley is a knave then Sophia is a knight". So who is a knight and who is a knave?

Michael is a knight, Riley is a knave, and Sophia is a knight.

(1) Michael is a knight
(2) Riley is a knave
(3) Sophia is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Sofia, Scarlett, and Charlotte. Sofia said, "If Sofia is a knight then Charlotte is a knight." As Scarlett put it, "Sofia is a knight". Charlotte told you that Sofia is a knight. So who is a knight and who is a knave?

Sofia is a knight, Scarlett is a knight, and Charlotte is a knight.

(1) Sofia is a knight
(2) Scarlett is a knight
(3) Charlotte is a knight

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

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

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

(('->', ('telling-truth', 0), ('telling-truth', 2)), ('telling-truth', 0), ('telling-truth', 0))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Mia, Harper, and Oliver. "Mia is a knight," Mia declared. Harper said that If Harper is a knight then Oliver is a knave. Oliver said, "Harper is a knight and Mia is a knight." So who is a knight and who is a knave?

Mia is a knave, Harper is a knight, and Oliver is a knave.

(1) Mia is a knave
(2) Harper is a knight
(3) Oliver is a knave

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

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

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

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

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

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

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

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

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

(('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 2)), ('and', ('telling-truth', 1), ('telling-truth', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Michael, Emma, and Evelyn. Michael told you that Evelyn is not a knave. "Evelyn is a knight and Michael is a knight" - Emma. Evelyn remarked, "Emma is a knight if and only if Emma is a knave". So who is a knight and who is a knave?

Michael is a knave, Emma is a knave, and Evelyn is a knave.

(1) Michael is a knave
(2) Emma is a knave
(3) Evelyn is a knave

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that Evelyn is a knight and Michael 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 3 inhabitants: Aiden, Amelia, and Ethan. "Ethan is a knight and Amelia is a knave" - Aiden. In a statement by Amelia: "Amelia is a knight if and only if Ethan is a knave". Ethan remarked, "Amelia is a knight and Aiden is a knave". So who is a knight and who is a knave?

Aiden is a knave, Amelia is a knave, and Ethan is a knave.

(1) Aiden is a knave
(2) Amelia is a knave
(3) Ethan is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Henry, Daniel, and Abigail. Henry noted, "Daniel is not a knight". Daniel stated, "If Abigail is a knight then Henry is a knight". As Abigail put it, "Daniel is a knave". So who is a knight and who is a knave?

Henry is a knave, Daniel is a knight, and Abigail is a knave.

(1) Henry is a knave
(2) Daniel is a knight
(3) Abigail is a knave

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

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

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

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

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

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

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

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

(('not', ('telling-truth', 1)), ('->', ('telling-truth', 2), ('telling-truth', 0)), ('lying', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jack, Emily, and Aiden. Jack asserted: "Emily is not a knave". "Emily is a knight or Aiden is a knave" - Emily. Aiden told you that Aiden is a knight if and only if Emily is a knave. So who is a knight and who is a knave?

Jack is a knave, Emily is a knave, and Aiden is a knight.

(1) Jack is a knave
(2) Emily is a knave
(3) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knight. No contradiction is found in their claim that Aiden is a knight if and only if Emily 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 3 inhabitants: Ethan, Michael, and Logan. Ethan remarked, "If Logan is a knight then Ethan is a knight". In a statement by Michael: "Ethan is a knight". In a statement by Logan: "Ethan is a knave if and only if Michael is a knight". So who is a knight and who is a knave?

Ethan is a knight, Michael is a knight, and Logan is a knave.

(1) Ethan is a knight
(2) Michael is a knight
(3) Logan is a knave

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Ethan 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 3 inhabitants: Sofia, Jackson, and Luke. Sofia expressed that Luke is a knight. Jackson told you that If Sofia is a knave then Luke is a knave. In a statement by Luke: "Sofia is a knave if and only if Sofia is a knight". So who is a knight and who is a knave?

Sofia is a knave, Jackson is a knight, and Luke is a knave.

(1) Sofia is a knave
(2) Jackson is a knight
(3) Luke is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jackson, Zoey, and Sophia. "Zoey is a knight," Jackson claimed. Zoey expressed that Jackson is a knave or Zoey is a knight. Sophia said that Zoey is a knight and Jackson is a knight. So who is a knight and who is a knave?

Jackson is a knight, Zoey is a knight, and Sophia is a knight.

(1) Jackson is a knight
(2) Zoey is a knight
(3) Sophia is a knight

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

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

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

(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Ava, Noah, and Sebastian. In Ava's words: "Ava is a knight". Noah remarked, "Ava is a knave or Sebastian is a knave". Sebastian asserted: "Noah is a knight". So who is a knight and who is a knave?

Ava is a knave, Noah is a knight, and Sebastian is a knight.

(1) Ava is a knave
(2) Noah is a knight
(3) Sebastian is a knight

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

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

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

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

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

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

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

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

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

(('telling-truth', 0), ('or', ('lying', 0), ('lying', 2)), ('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 3 inhabitants: Mason, Matthew, and Emma. Mason said, "Emma is a knave or Matthew is a knight." As Matthew put it, "If Emma is a knave then Mason is a knight". "Matthew is a knight," Emma declared. So who is a knight and who is a knave?

Mason is a knight, Matthew is a knight, and Emma is a knight.

(1) Mason is a knight
(2) Matthew is a knight
(3) Emma is a knight

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

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

Assume Matthew is a knight. No contradiction is found in their claim that If Emma is a knave then 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 3 inhabitants: Samuel, Ethan, and Scarlett. Samuel expressed that Scarlett is a knave if and only if Ethan is a knave. Ethan noted, "Samuel is a knave". Scarlett expressed that Scarlett is a knight if and only if Ethan is a knave. So who is a knight and who is a knave?

Samuel is a knight, Ethan is a knave, and Scarlett is a knave.

(1) Samuel is a knight
(2) Ethan is a knave
(3) Scarlett is a knave

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

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

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

Ethan cannot be a knave, because this would contradict the claim of Samuel that Scarlett is a knave if and only if Ethan is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Elizabeth, Scarlett, and James. In Elizabeth's words: "James is not a knight". "If James is a knight then Elizabeth is a knave," Scarlett declared. James remarked, "Scarlett is a knight and Scarlett is a knave". So who is a knight and who is a knave?

Elizabeth is a knight, Scarlett is a knight, and James is a knave.

(1) Elizabeth is a knight
(2) Scarlett is a knight
(3) James is a knave

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

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

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

Assume Scarlett is a knight. No contradiction is found in their claim that If James is a knight then 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 3 inhabitants: Lucas, Emma, and Zoey. In Lucas's words: "Zoey is not a knave". Emma expressed that Zoey is not a knight. Zoey asserted: "Emma is a knave and Lucas is a knave". So who is a knight and who is a knave?

Lucas is a knave, Emma is a knight, and Zoey is a knave.

(1) Lucas is a knave
(2) Emma is a knight
(3) Zoey is a knave

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

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

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

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

Assume Lucas 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 Lucas that Zoey is not a knave.

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

Assume Emma is a knight. No contradiction is found in their claim that Zoey 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 3 inhabitants: Jackson, Emma, and Samuel. Jackson noted, "Samuel is a knight or Jackson is a knight". In a statement by Emma: "Emma is a knight if and only if Jackson is a knave". In Samuel's words: "Jackson is a knave and Emma is a knave". So who is a knight and who is a knave?

Jackson is a knave, Emma is a knight, and Samuel is a knave.

(1) Jackson is a knave
(2) Emma is a knight
(3) Samuel is a knave

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

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

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

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

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

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

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

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

Assume Emma is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jackson 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 3 inhabitants: Owen, Victoria, and Liam. In a statement by Owen: "Victoria is a knave and Victoria is a knight". Victoria noted, "Owen is a knave and Liam is a knave". Liam said that Victoria is a knave and Victoria is a knight. So who is a knight and who is a knave?

Owen is a knave, Victoria is a knight, and Liam is a knave.

(1) Owen is a knave
(2) Victoria is a knight
(3) Liam is a knave

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Victoria is a knave and Victoria 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 3 inhabitants: Olivia, Jack, and Jacob. Olivia said, "If Jack is a knave then Jacob is a knave." In a statement by Jack: "Jacob is a knight and Jacob is a knave". Jacob commented, "If Jack is a knight then Olivia is a knight". So who is a knight and who is a knave?

Olivia is a knave, Jack is a knave, and Jacob is a knight.

(1) Olivia is a knave
(2) Jack is a knave
(3) Jacob is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Lily, Ethan, and Liam. Lily told you that Liam is a knave. "Lily is a knave or Liam is a knight," Ethan mentioned. As Liam put it, "Lily is a knight and Ethan is a knight". So who is a knight and who is a knave?

Lily is a knight, Ethan is a knave, and Liam is a knave.

(1) Lily is a knight
(2) Ethan is a knave
(3) Liam is a knave

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

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

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

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

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

(('lying', 2), ('or', ('lying', 0), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('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 3 inhabitants: Matthew, Aiden, and Oliver. "Aiden is a knave and Aiden is a knight" - Matthew. "Oliver is a knave if and only if Oliver is a knight," Aiden claimed. Oliver was heard saying, "Aiden is a knight". So who is a knight and who is a knave?

Matthew is a knave, Aiden is a knave, and Oliver is a knave.

(1) Matthew is a knave
(2) Aiden is a knave
(3) Oliver is a knave

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

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

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

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

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

Assume Oliver is a knave. No contradiction is found in their false claim that Aiden 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 3 inhabitants: Benjamin, Grace, and Daniel. In Benjamin's words: "Daniel is a knave or Grace is a knave". Grace remarked, "Grace is a knight if and only if Daniel is a knight". "If Grace is a knight then Benjamin is a knight," Daniel claimed. So who is a knight and who is a knave?

Benjamin is a knight, Grace is a knave, and Daniel is a knight.

(1) Benjamin is a knight
(2) Grace is a knave
(3) Daniel is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Samuel, Olivia, and Charlotte. Samuel asserted: "If Charlotte is a knight then Samuel is a knight". In a statement by Olivia: "Charlotte is not a knave". As Charlotte put it, "If Samuel is a knave then Samuel is a knight". So who is a knight and who is a knave?

Samuel is a knight, Olivia is a knight, and Charlotte is a knight.

(1) Samuel is a knight
(2) Olivia is a knight
(3) Charlotte is a knight

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

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

Assume Olivia is a knight. No contradiction is found in their claim that Charlotte 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 3 inhabitants: Daniel, James, and Liam. According to Daniel, "James is not a knave". "Daniel is a knave if and only if Liam is a knave" - James. According to Liam, "Daniel is a knight or James is a knight". So who is a knight and who is a knave?

Daniel is a knight, James is a knight, and Liam is a knight.

(1) Daniel is a knight
(2) James is a knight
(3) Liam is a knight

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Victoria, Matthew, and Abigail. Victoria remarked, "Abigail is not a knave". Matthew expressed that If Matthew is a knight then Abigail is a knave. In a statement by Abigail: "Victoria is a knight and Matthew is a knave". So who is a knight and who is a knave?

Victoria is a knave, Matthew is a knight, and Abigail is a knave.

(1) Victoria is a knave
(2) Matthew is a knight
(3) Abigail is a knave

Assume Victoria 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 Victoria is a knight and Matthew is a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Amelia, Benjamin, and Michael. Amelia said, "Michael is a knave and Benjamin is a knave." "Benjamin is a knight or Michael is a knave," Benjamin declared. Michael remarked, "Amelia is a knight". So who is a knight and who is a knave?

Amelia is a knave, Benjamin is a knight, and Michael is a knave.

(1) Amelia is a knave
(2) Benjamin is a knight
(3) Michael is a knave

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

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that Michael is a knave and Benjamin is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Emma, Zoey, and Aurora. "Zoey is a knight," Emma declared. "Emma is a knight," Zoey mentioned. Aurora was heard saying, "If Aurora is a knight then Emma is a knight". So who is a knight and who is a knave?

Emma is a knight, Zoey is a knight, and Aurora is a knight.

(1) Emma is a knight
(2) Zoey is a knight
(3) Aurora is a knight

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

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

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

(('telling-truth', 1), ('telling-truth', 0), ('->', ('telling-truth', 2), ('telling-truth', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Olivia, Aiden, and Daniel. In Olivia's words: "If Daniel is a knight then Aiden is a knave". Aiden remarked, "Olivia is a knight". "Daniel is a knight and Aiden is a knight," Daniel mentioned. So who is a knight and who is a knave?

Olivia is a knight, Aiden is a knight, and Daniel is a knave.

(1) Olivia is a knight
(2) Aiden is a knight
(3) Daniel is a knave

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

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

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

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

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

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

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

(('->', ('telling-truth', 2), ('lying', 1)), ('telling-truth', 0), ('and', ('telling-truth', 2), ('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 3 inhabitants: Samuel, Chloe, and Victoria. As Samuel put it, "If Victoria is a knight then Chloe is a knight". Chloe told you that Victoria is a knight if and only if Samuel is a knave. Victoria noted, "Chloe is a knave and Victoria is a knight". So who is a knight and who is a knave?

Samuel is a knight, Chloe is a knight, and Victoria is a knave.

(1) Samuel is a knight
(2) Chloe is a knight
(3) Victoria is a knave

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Mia, Emily, and Aiden. Mia stated, "If Aiden is a knave then Mia is a knight". As Emily put it, "Mia is not a knight". Aiden expressed that Mia is a knave or Emily is a knight. So who is a knight and who is a knave?

Mia is a knight, Emily is a knave, and Aiden is a knave.

(1) Mia is a knight
(2) Emily is a knave
(3) Aiden is a knave

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

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

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

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

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Mia 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 3 inhabitants: Evelyn, James, and Mason. "If Mason is a knave then Evelyn is a knight," Evelyn claimed. James said that Evelyn is a knight or Mason is a knight. "Evelyn is a knave or Evelyn is a knight" - Mason. So who is a knight and who is a knave?

Evelyn is a knight, James is a knight, and Mason is a knight.

(1) Evelyn is a knight
(2) James is a knight
(3) Mason is a knight

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jackson, Benjamin, and Sofia. In Jackson's words: "Sofia is a knave". In Benjamin's words: "Sofia is a knave". Sofia commented, "Jackson is a knave if and only if Benjamin is a knight". So who is a knight and who is a knave?

Jackson is a knight, Benjamin is a knight, and Sofia is a knave.

(1) Jackson is a knight
(2) Benjamin is a knight
(3) Sofia is a knave

Assume Jackson 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 Jackson that Sofia is a knave.

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

Assume Benjamin is a knight. No contradiction is found in their 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 3 inhabitants: Grace, Emma, and Matthew. Grace asserted: "If Emma is a knight then Matthew is a knight". Emma remarked, "Matthew is a knave if and only if Emma is a knight". Matthew was heard saying, "If Emma is a knave then Grace is a knave". So who is a knight and who is a knave?

Grace is a knight, Emma is a knave, and Matthew is a knave.

(1) Grace is a knight
(2) Emma is a knave
(3) Matthew is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Isabella, Lily, and Joseph. "Lily is a knave and Lily is a knight" - Isabella. Lily said that Isabella is a knave and Joseph is a knave. Joseph said, "If Joseph is a knight then Lily is a knave." So who is a knight and who is a knave?

Isabella is a knave, Lily is a knave, and Joseph is a knight.

(1) Isabella is a knave
(2) Lily is a knave
(3) Joseph is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jack, Benjamin, and Chloe. In a statement by Jack: "Benjamin is a knight". Benjamin said, "If Chloe is a knight then Benjamin is a knight." Chloe said that Benjamin is a knight. So who is a knight and who is a knave?

Jack is a knight, Benjamin is a knight, and Chloe is a knight.

(1) Jack is a knight
(2) Benjamin is a knight
(3) Chloe is a knight

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

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

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

(('telling-truth', 1), ('->', ('telling-truth', 2), ('telling-truth', 1)), ('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 3 inhabitants: Samuel, Aria, and Zoey. "Aria is a knave," Samuel declared. "If Aria is a knight then Zoey is a knight" - Aria. In a statement by Zoey: "Aria is a knight or Aria is a knave". So who is a knight and who is a knave?

Samuel is a knave, Aria is a knight, and Zoey is a knight.

(1) Samuel is a knave
(2) Aria is a knight
(3) Zoey is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Aurora, Sofia, and Zoey. Aurora said, "Zoey is a knight if and only if Sofia is a knight." Sofia told you that Zoey is a knave if and only if Sofia is a knight. "Sofia is a knave if and only if Zoey is a knight," Zoey mentioned. So who is a knight and who is a knave?

Aurora is a knight, Sofia is a knave, and Zoey is a knave.

(1) Aurora is a knight
(2) Sofia is a knave
(3) Zoey is a knave

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

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

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

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

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Sofia 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 3 inhabitants: Matthew, Ava, and Logan. Matthew said, "If Matthew is a knight then Logan is a knight." According to Ava, "Matthew is a knave". "Logan is a knight if and only if Matthew is a knight," Logan claimed. So who is a knight and who is a knave?

Matthew is a knight, Ava is a knave, and Logan is a knight.

(1) Matthew is a knight
(2) Ava is a knave
(3) Logan is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jackson, Ethan, and Emma. Jackson expressed that Emma is a knight if and only if Ethan is a knight. In Ethan's words: "If Jackson is a knave then Emma is a knave". Emma said, "Ethan is a knight and Ethan is a knave." So who is a knight and who is a knave?

Jackson is a knave, Ethan is a knight, and Emma is a knave.

(1) Jackson is a knave
(2) Ethan is a knight
(3) Emma is a knave

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

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

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

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

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

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

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

Assume Ethan is a knight. No contradiction is found in their claim that If Jackson is a knave then Emma 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 3 inhabitants: Grace, Amelia, and Zoey. Grace stated, "Zoey is a knave". Amelia stated, "If Zoey is a knight then Grace is a knave". As Zoey put it, "Amelia is a knight or Amelia is a knave". So who is a knight and who is a knave?

Grace is a knave, Amelia is a knight, and Zoey is a knight.

(1) Grace is a knave
(2) Amelia is a knight
(3) Zoey is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Chloe, David, and Sebastian. Chloe said that David is not a knight. "Sebastian is a knave if and only if Chloe is a knight" - David. Sebastian stated, "Chloe is a knight". So who is a knight and who is a knave?

Chloe is a knight, David is a knave, and Sebastian is a knight.

(1) Chloe is a knight
(2) David is a knave
(3) Sebastian is a knight

Assume Chloe 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 Chloe that David is not a knight.

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

Assume Sebastian is a knight. No contradiction is found in their claim that Chloe 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 3 inhabitants: James, Aiden, and Avery. James stated, "Avery is a knight and James is a knight". As Aiden put it, "James is a knave". Avery expressed that Aiden is a knight if and only if James is a knight. So who is a knight and who is a knave?

James is a knave, Aiden is a knight, and Avery is a knave.

(1) James is a knave
(2) Aiden is a knight
(3) Avery is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Abigail, Zoey, and Isabella. Abigail asserted: "Zoey is a knave if and only if Abigail is a knight". Zoey remarked, "Abigail is not a knave". Isabella asserted: "Zoey is a knave". So who is a knight and who is a knave?

Abigail is a knave, Zoey is a knave, and Isabella is a knight.

(1) Abigail is a knave
(2) Zoey is a knave
(3) Isabella is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Emily, Amelia, and Michael. Emily noted, "Amelia is a knight". Amelia expressed that Emily is a knave or Emily is a knight. Michael was heard saying, "Emily is a knave or Emily is a knight". So who is a knight and who is a knave?

Emily is a knight, Amelia is a knight, and Michael is a knight.

(1) Emily is a knight
(2) Amelia is a knight
(3) Michael is a knight

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

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

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

(('telling-truth', 1), ('or', ('lying', 0), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Grace, Amelia, and Lucas. Grace told you that Lucas is a knight or Amelia is a knave. Amelia told you that Grace is a knave or Lucas is a knave. According to Lucas, "Amelia is a knight or Lucas is a knight". So who is a knight and who is a knave?

Grace is a knight, Amelia is a knave, and Lucas is a knight.

(1) Grace is a knight
(2) Amelia is a knave
(3) Lucas is a knight

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

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

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

Assume Amelia is a knave. No contradiction is found in their false claim that Grace is a knave or Lucas is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Scarlett, Matthew, and Evelyn. Scarlett stated, "Matthew is not a knight". "Evelyn is a knight or Scarlett is a knave," Matthew declared. Evelyn expressed that Matthew is a knave. So who is a knight and who is a knave?

Scarlett is a knave, Matthew is a knight, and Evelyn is a knave.

(1) Scarlett is a knave
(2) Matthew is a knight
(3) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Victoria, Daniel, and Mia. Victoria asserted: "Mia is a knight and Mia is a knave". Daniel was heard saying, "Mia is not a knight". "Victoria is a knave," Mia declared. So who is a knight and who is a knave?

Victoria is a knave, Daniel is a knave, and Mia is a knight.

(1) Victoria is a knave
(2) Daniel is a knave
(3) Mia is a knight

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Mia 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 3 inhabitants: Alexander, Noah, and Ava. According to Alexander, "Alexander is a knight and Noah is a knight". Noah said, "Alexander is a knave." "Alexander is a knight if and only if Alexander is a knave" - Ava. So who is a knight and who is a knave?

Alexander is a knave, Noah is a knight, and Ava is a knave.

(1) Alexander is a knave
(2) Noah is a knight
(3) Ava is a knave

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Alexander 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 3 inhabitants: Aria, Evelyn, and Logan. According to Aria, "Aria is a knight and Evelyn is a knave". Evelyn said that If Evelyn is a knight then Logan is a knight. According to Logan, "Logan is a knight or Evelyn is a knight". So who is a knight and who is a knave?

Aria is a knave, Evelyn is a knight, and Logan is a knight.

(1) Aria is a knave
(2) Evelyn is a knight
(3) Logan is a knight

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

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

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

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

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

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

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

(('and', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 2)), ('or', ('telling-truth', 2), ('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 3 inhabitants: Joseph, Benjamin, and Isabella. Joseph remarked, "Isabella is a knight if and only if Benjamin is a knight". "Isabella is a knave or Joseph is a knave" - Benjamin. Isabella asserted: "If Joseph is a knave then Isabella is a knight". So who is a knight and who is a knave?

Joseph is a knave, Benjamin is a knight, and Isabella is a knave.

(1) Joseph is a knave
(2) Benjamin is a knight
(3) Isabella is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Emily, Mia, and Victoria. Emily was heard saying, "Mia is a knave". In a statement by Mia: "Victoria is a knight if and only if Mia is a knight". As Victoria put it, "If Emily is a knave then Mia is a knave". So who is a knight and who is a knave?

Emily is a knight, Mia is a knave, and Victoria is a knight.

(1) Emily is a knight
(2) Mia is a knave
(3) Victoria is a knight

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that If Emily is a knave then Mia 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 3 inhabitants: Daniel, Isabella, and Samuel. In Daniel's words: "Isabella is not a knave". "Isabella is a knight or Daniel is a knave," Isabella mentioned. "Isabella is a knave if and only if Daniel is a knight" - Samuel. So who is a knight and who is a knave?

Daniel is a knight, Isabella is a knight, and Samuel is a knave.

(1) Daniel is a knight
(2) Isabella is a knight
(3) Samuel is a knave

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Jacob, Sophia, and Aiden. "Sophia is a knight if and only if Sophia is a knave," Jacob declared. Sophia expressed that Jacob is not a knight. Aiden stated, "Jacob is a knave". So who is a knight and who is a knave?

Jacob is a knave, Sophia is a knight, and Aiden is a knight.

(1) Jacob is a knave
(2) Sophia is a knight
(3) Aiden is a knight

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Elizabeth, Henry, and Charlotte. "Henry is a knight if and only if Elizabeth is a knight," Elizabeth declared. Henry asserted: "If Elizabeth is a knight then Elizabeth is a knave". Charlotte asserted: "Henry is a knight or Elizabeth is a knight". So who is a knight and who is a knave?

Elizabeth is a knave, Henry is a knight, and Charlotte is a knight.

(1) Elizabeth is a knave
(2) Henry is a knight
(3) Charlotte is a knight

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

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

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

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

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

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

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