A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aria, James, Alexander, Aiden, Joseph, and Jack. Aria was heard saying, "James is a knight or Joseph is a knight". "Aria is not a knight," James claimed. Alexander said that James is a knight and James is a knave. "Aria is a knave if and only if James is a knave," Aiden claimed. "Aria is a knight," Joseph mentioned. In Jack's words: "Aria is a knight if and only if Alexander is a knave". So who is a knight and who is a knave?

Aria is a knight, James is a knave, Alexander is a knave, Aiden is a knave, Joseph is a knight, and Jack is a knight.

(1) Aria is a knight
(2) James is a knave
(3) Alexander is a knave
(4) Aiden is a knave
(5) Joseph is a knight
(6) Jack is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Mason, Owen, Chloe, Scarlett, Henry, and Aiden. "Scarlett is a knave or Henry is a knave," Mason mentioned. Owen asserted: "Chloe is a knight and Mason is a knight". In a statement by Chloe: "Henry is a knight and Owen is a knight". Scarlett asserted: "Owen is a knight or Mason is a knight". Henry said, "Aiden is a knight." In a statement by Aiden: "If Owen is a knave then Scarlett is a knave". So who is a knight and who is a knave?

Mason is a knight, Owen is a knave, Chloe is a knave, Scarlett is a knight, Henry is a knave, and Aiden is a knave.

(1) Mason is a knight
(2) Owen is a knave
(3) Chloe is a knave
(4) Scarlett is a knight
(5) Henry is a knave
(6) Aiden is a knave

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that Henry is a knight and Owen is a knight.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Mia, Matthew, Victoria, Sebastian, and Noah. As James put it, "James is a knight if and only if Victoria is a knight". Mia asserted: "If James is a knight then Sebastian is a knave". Matthew asserted: "If Matthew is a knight then James is a knave". In a statement by Victoria: "James is a knave if and only if Sebastian is a knave". Sebastian stated, "James is a knight". As Noah put it, "Victoria is a knight". So who is a knight and who is a knave?

James Mia Matthew Victoria Sebastian Noah

James is a knave, Mia is a knight, Matthew is a knight, Victoria is a knight, Sebastian is a knave, and Noah is a knight.

(1) James is a knave
(2) Mia is a knight
(3) Matthew is a knight
(4) Victoria is a knight
(5) Sebastian is a knave
(6) Noah is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Noah is a knight. No contradiction is found in their claim that 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 6 inhabitants: Mia, Lucas, Logan, William, Mason, and Matthew. As Mia put it, "William is a knave and Mia is a knight". "Mia is a knave" - Lucas. Logan asserted: "Lucas is not a knight". William was heard saying, "Matthew is a knight and Lucas is a knave". Mason commented, "Logan is a knave". Matthew remarked, "Logan is a knave if and only if Lucas is a knight". So who is a knight and who is a knave?

Mia is a knave, Lucas is a knight, Logan is a knave, William is a knave, Mason is a knight, and Matthew is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Aiden, Emma, Matthew, Logan, and Ava. In a statement by Emily: "Matthew is a knave if and only if Ava is a knave". Aiden asserted: "Logan is a knave if and only if Ava is a knight". Emma told you that Emily is a knight and Logan is a knight. As Matthew put it, "Ava is a knave if and only if Matthew is a knight". Logan asserted: "Logan is a knight and Matthew is a knave". "Logan is a knave or Emma is a knave," Ava declared. So who is a knight and who is a knave?

Emily is a knight, Aiden is a knight, Emma is a knight, Matthew is a knave, Logan is a knight, and Ava is a knave.

(1) Emily is a knight
(2) Aiden is a knight
(3) Emma is a knight
(4) Matthew is a knave
(5) Logan is a knight
(6) Ava is a knave

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Logan is a knave or Emma is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Amelia, Riley, Grace, Evelyn, Matthew, and Ava. Amelia told you that Matthew is not a knave. According to Riley, "If Matthew is a knight then Ava is a knave". Grace remarked, "If Ava is a knight then Riley is a knave". Evelyn said that Matthew is a knight or Riley is a knight. Matthew told you that Grace is not a knave. "Amelia is not a knave" - Ava. So who is a knight and who is a knave?

Amelia is a knight, Riley is a knave, Grace is a knight, Evelyn is a knight, Matthew is a knight, and Ava is a knight.

(1) Amelia is a knight
(2) Riley is a knave
(3) Grace is a knight
(4) Evelyn is a knight
(5) Matthew is a knight
(6) Ava is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ethan, Olivia, Joseph, William, Benjamin, and Sebastian. According to Ethan, "William is a knight and Olivia is a knave". "Joseph is a knave or William is a knave," Olivia declared. According to Joseph, "Ethan is a knight". William expressed that Joseph is a knight if and only if Sebastian is a knight. Benjamin commented, "Joseph is a knight". Sebastian commented, "Benjamin is not a knight". So who is a knight and who is a knave?

Ethan Olivia Joseph William Benjamin Sebastian

Ethan is a knave, Olivia is a knight, Joseph is a knave, William is a knave, Benjamin is a knave, and Sebastian is a knight.

(1) Ethan is a knave
(2) Olivia is a knight
(3) Joseph is a knave
(4) William is a knave
(5) Benjamin is a knave
(6) Sebastian is a knight

Assume Ethan is a knight. No contradiction is found in their claim that William is a knight and Olivia is a knave.

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

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

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

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

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

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

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

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

Joseph 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 Joseph, so let us go back and reconsider William.

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Avery, Zoey, Lily, Evelyn, Aria, and Aiden. Avery commented, "Zoey is a knight if and only if Aiden is a knave". Zoey commented, "Aria is not a knave". As Lily put it, "Zoey is a knight and Aiden is a knight". Evelyn said that Aria is a knave or Lily is a knight. Aria asserted: "Evelyn is a knight or Avery is a knave". "Avery is a knave," Aiden declared. So who is a knight and who is a knave?

Avery is a knave, Zoey is a knight, Lily is a knight, Evelyn is a knight, Aria is a knight, and Aiden is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Penelope, Emily, David, Elizabeth, Emma, and Aria. "If Penelope is a knight then Emma is a knight," Penelope declared. "Emma is a knave if and only if Aria is a knave," Emily declared. In David's words: "Emma is a knight and Penelope is a knight". Elizabeth was heard saying, "Aria is a knave if and only if David is a knight". "Elizabeth is a knight and David is a knight," Emma declared. "David is not a knight" - Aria. So who is a knight and who is a knave?

Penelope Emily David Elizabeth Emma Aria

Penelope is a knight, Emily is a knave, David is a knight, Elizabeth is a knight, Emma is a knight, and Aria is a knave.

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

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

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

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

Assume Aria 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 Elizabeth that Aria is a knave if and only if David is a knight.

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

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

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

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

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

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


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

Jacob Zoey Aria Isabella Matthew Alexander

Jacob is a knave, Zoey is a knight, Aria is a knight, Isabella is a knave, Matthew is a knave, and Alexander is a knave.

(1) Jacob is a knave
(2) Zoey is a knight
(3) Aria is a knight
(4) Isabella is a knave
(5) Matthew is a knave
(6) Alexander is a knave

Assume Jacob 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 Alexander is a knave and Zoey is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Isabella is a knave. No contradiction is found in their false claim that Alexander is a knave and Zoey is a knave.

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that Isabella is a knave if and only if 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 6 inhabitants: Evelyn, Charlotte, Luke, Riley, Scarlett, and Emma. Evelyn said that If Scarlett is a knight then Emma is a knight. Charlotte remarked, "Luke is a knave and Riley is a knight". As Luke put it, "Luke is a knight or Evelyn is a knight". In a statement by Riley: "Scarlett is a knave if and only if Emma is a knight". Scarlett told you that Scarlett is a knight if and only if Charlotte is a knight. Emma noted, "Scarlett is a knight and Charlotte is a knave". So who is a knight and who is a knave?

Evelyn Charlotte Luke Riley Scarlett Emma

Evelyn is a knave, Charlotte is a knight, Luke is a knave, Riley is a knight, Scarlett is a knight, and Emma is a knave.

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Charlotte, 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 Charlotte is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Evelyn, Emily, Ella, Isabella, Lily, and Riley. Evelyn asserted: "Lily is a knave". Emily asserted: "Isabella is a knight or Riley is a knave". "If Evelyn is a knight then Lily is a knave," Ella mentioned. Isabella was heard saying, "Lily is a knave". "If Isabella is a knight then Riley is a knave" - Lily. Riley commented, "Emily is a knave or Isabella is a knave". So who is a knight and who is a knave?

Evelyn is a knave, Emily is a knave, Ella is a knight, Isabella is a knave, Lily is a knight, and Riley is a knight.

(1) Evelyn is a knave
(2) Emily is a knave
(3) Ella is a knight
(4) Isabella is a knave
(5) Lily is a knight
(6) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ella is a knight. No contradiction is found in their claim that If Evelyn 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 6 inhabitants: Aiden, Noah, Oliver, Isabella, Henry, and James. In Aiden's words: "Oliver is not a knave". Noah said that James is not a knave. Oliver said that Henry is not a knight. Isabella said, "Noah is a knave if and only if Oliver is a knight." Henry told you that James is not a knave. James stated, "Henry is a knave and Aiden is a knave". So who is a knight and who is a knave?

Aiden is a knight, Noah is a knave, Oliver is a knight, Isabella is a knight, Henry is a knave, and James is a knave.

(1) Aiden is a knight
(2) Noah is a knave
(3) Oliver is a knight
(4) Isabella is a knight
(5) Henry is a knave
(6) James is a knave

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

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

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

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

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

Assume James is a knave. No contradiction is found in their false claim that Henry is a knave and Aiden is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Luke, Olivia, Ella, Matthew, Ethan, and Noah. Luke was heard saying, "Olivia is a knight and Ethan is a knight". According to Olivia, "If Matthew is a knave then Luke is a knave". Ella said that If Luke is a knave then Ethan is a knight. "Luke is a knight if and only if Ella is a knave," Matthew claimed. Ethan noted, "Ella is a knave and Luke is a knight". "Ella is a knight if and only if Luke is a knave" - Noah. So who is a knight and who is a knave?

Luke is a knave, Olivia is a knight, Ella is a knave, Matthew is a knave, Ethan is a knave, and Noah is a knave.

(1) Luke is a knave
(2) Olivia is a knight
(3) Ella is a knave
(4) Matthew is a knave
(5) Ethan is a knave
(6) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Luke, Charlotte, Ella, Aiden, and Mason. Jackson expressed that If Mason is a knave then Aiden is a knight. "If Aiden is a knave then Charlotte is a knave" - Luke. Charlotte remarked, "If Ella is a knave then Jackson is a knight". "Luke is a knight and Charlotte is a knave," Ella claimed. Aiden expressed that Aiden is a knight. "Aiden is a knave if and only if Charlotte is a knave," Mason declared. So who is a knight and who is a knave?

Jackson is a knight, Luke is a knight, Charlotte is a knight, Ella is a knave, Aiden is a knight, and Mason is a knight.

(1) Jackson is a knight
(2) Luke is a knight
(3) Charlotte is a knight
(4) Ella is a knave
(5) Aiden is a knight
(6) Mason is a knight

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

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

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

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

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

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

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


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

Owen is a knight, Riley is a knight, Liam is a knave, Evelyn is a knight, Mia is a knight, and Aria is a knave.

(1) Owen is a knight
(2) Riley is a knight
(3) Liam is a knave
(4) Evelyn is a knight
(5) Mia is a knight
(6) Aria is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Matthew, Evelyn, Zoey, Abigail, and Aria. Emily stated, "Zoey is a knight and Abigail is a knave". Matthew asserted: "If Evelyn is a knave then Matthew is a knight". Evelyn was heard saying, "If Emily is a knight then Abigail is a knave". Zoey asserted: "Aria is a knight or Emily is a knave". As Abigail put it, "Evelyn is not a knight". In Aria's words: "Matthew is not a knave". So who is a knight and who is a knave?

Emily is a knight, Matthew is a knight, Evelyn is a knight, Zoey is a knight, Abigail is a knave, and Aria is a knight.

(1) Emily is a knight
(2) Matthew is a knight
(3) Evelyn is a knight
(4) Zoey is a knight
(5) Abigail is a knave
(6) Aria is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Samuel, William, Alexander, Mason, and Jacob. "Mason is not a knight," Benjamin mentioned. Samuel was heard saying, "Jacob is a knave". "Benjamin is a knight if and only if Samuel is a knight," William declared. Alexander was heard saying, "Alexander is a knight or Benjamin is a knight". Mason said that Benjamin is a knight if and only if William is a knave. According to Jacob, "Alexander is a knight". So who is a knight and who is a knave?

Benjamin Samuel William Alexander Mason Jacob

Benjamin is a knave, Samuel is a knave, William is a knight, Alexander is a knight, Mason is a knight, and Jacob is a knight.

(1) Benjamin is a knave
(2) Samuel is a knave
(3) William is a knight
(4) Alexander is a knight
(5) Mason is a knight
(6) Jacob is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Lucas, Ava, Jack, Olivia, Lily, and Ethan. Lucas stated, "Ethan is a knight if and only if Ava is a knave". As Ava put it, "Ava is a knight and Lucas is a knave". Jack expressed that Olivia is a knave. "Ava is a knave if and only if Lily is a knave," Olivia declared. In Lily's words: "Lucas is a knave if and only if Ethan is a knave". Ethan remarked, "Lily is a knight or Ava is a knave". So who is a knight and who is a knave?

Lucas is a knight, Ava is a knave, Jack is a knight, Olivia is a knave, Lily is a knight, and Ethan is a knight.

(1) Lucas is a knight
(2) Ava is a knave
(3) Jack is a knight
(4) Olivia is a knave
(5) Lily is a knight
(6) Ethan is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Oliver, Scarlett, Chloe, Michael, Luke, and Ethan. According to Oliver, "Scarlett is a knight or Ethan is a knave". "Luke is not a knave," Scarlett mentioned. In Chloe's words: "Oliver is a knave or Scarlett is a knave". In Michael's words: "Luke is a knave if and only if Luke is a knight". Luke was heard saying, "Oliver is not a knave". "Scarlett is a knave if and only if Ethan is a knight," Ethan declared. So who is a knight and who is a knave?

Oliver Scarlett Chloe Michael Luke Ethan

Oliver is a knave, Scarlett is a knave, Chloe is a knight, Michael is a knave, Luke is a knave, and Ethan is a knight.

(1) Oliver is a knave
(2) Scarlett is a knave
(3) Chloe is a knight
(4) Michael is a knave
(5) Luke is a knave
(6) Ethan is a knight

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

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

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

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

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

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

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

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

Assume Scarlett 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 Scarlett that Luke is not a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, Michael, Noah, Henry, Oliver, and David. As Grace put it, "Oliver is not a knave". Michael remarked, "Grace is a knave or Oliver is a knight". In a statement by Noah: "David is a knave or Grace is a knave". "Grace is a knave if and only if Michael is a knave" - Henry. Oliver noted, "Noah is a knave or Michael is a knight". David stated, "Grace is a knave and Noah is a knave". So who is a knight and who is a knave?

Grace is a knight, Michael is a knight, Noah is a knight, Henry is a knight, Oliver is a knight, and David is a knave.

(1) Grace is a knight
(2) Michael is a knight
(3) Noah is a knight
(4) Henry is a knight
(5) Oliver is a knight
(6) David is a knave

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Grace, David, Mason, Evelyn, Liam, and Sophia. "Liam is a knave if and only if Mason is a knight," Grace claimed. David remarked, "Evelyn is not a knight". Mason said that Sophia is a knave. Evelyn expressed that Liam is a knight if and only if Mason is a knight. Liam stated, "Evelyn is a knight or Sophia is a knight". In Sophia's words: "Grace is a knight and Mason is a knight". So who is a knight and who is a knave?

Grace is a knave, David is a knave, Mason is a knight, Evelyn is a knight, Liam is a knight, and Sophia is a knave.

(1) Grace is a knave
(2) David is a knave
(3) Mason is a knight
(4) Evelyn is a knight
(5) Liam is a knight
(6) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Scarlett, Oliver, Jacob, David, Isabella, and Sebastian. Scarlett stated, "Sebastian is a knight if and only if Sebastian is a knave". According to Oliver, "If Scarlett is a knight then Isabella is a knight". "Isabella is a knave," Jacob declared. David remarked, "Isabella is a knight or Jacob is a knave". Isabella said, "Scarlett is not a knight." Sebastian said, "David is a knight." So who is a knight and who is a knave?

Scarlett Oliver Jacob David Isabella Sebastian

Scarlett is a knave, Oliver is a knight, Jacob is a knave, David is a knight, Isabella is a knight, and Sebastian is a knight.

(1) Scarlett is a knave
(2) Oliver is a knight
(3) Jacob is a knave
(4) David is a knight
(5) Isabella is a knight
(6) Sebastian is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Ella, Avery, Joseph, Zoey, David, and Amelia. Ella told you that Avery is not a knight. Avery asserted: "If Zoey is a knave then David is a knight". Joseph commented, "Zoey is a knave if and only if Ella is a knave". In a statement by Zoey: "Ella is a knight". David noted, "Amelia is not a knight". In Amelia's words: "David is a knave". So who is a knight and who is a knave?

Ella is a knave, Avery is a knight, Joseph is a knight, Zoey is a knave, David is a knight, and Amelia is a knave.

(1) Ella is a knave
(2) Avery is a knight
(3) Joseph is a knight
(4) Zoey is a knave
(5) David is a knight
(6) Amelia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Joseph is a knight. No contradiction is found in their claim that Zoey is a knave if and only if 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 6 inhabitants: Oliver, Daniel, Ava, Liam, Olivia, and Charlotte. As Oliver put it, "If Charlotte is a knight then Ava is a knight". Daniel remarked, "Liam is a knight or Olivia is a knave". In Ava's words: "Olivia is a knight if and only if Oliver is a knave". Liam commented, "If Daniel is a knave then Oliver is a knave". Olivia expressed that Oliver is a knight or Ava is a knave. In Charlotte's words: "Liam is a knight or Daniel is a knight". So who is a knight and who is a knave?

Oliver is a knight, Daniel is a knave, Ava is a knave, Liam is a knave, Olivia is a knight, and Charlotte is a knave.

(1) Oliver is a knight
(2) Daniel is a knave
(3) Ava is a knave
(4) Liam is a knave
(5) Olivia is a knight
(6) Charlotte is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Owen, Avery, James, Luke, Henry, and Lily. Owen said that Lily is a knight or Owen is a knight. Avery commented, "Owen is not a knight". James expressed that Henry is a knight. "James is a knave or James is a knight" - Luke. Henry expressed that Lily is not a knave. Lily told you that Avery is a knight if and only if Luke is a knight. So who is a knight and who is a knave?

Owen is a knight, Avery is a knave, James is a knave, Luke is a knight, Henry is a knave, and Lily is a knave.

(1) Owen is a knight
(2) Avery is a knave
(3) James is a knave
(4) Luke is a knight
(5) Henry is a knave
(6) Lily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Amelia, Olivia, Penelope, Joseph, and Mia. In Benjamin's words: "Mia is a knight or Penelope is a knight". Amelia stated, "Joseph is a knight if and only if Olivia is a knave". As Olivia put it, "Mia is not a knave". Penelope expressed that Benjamin is a knave or Olivia is a knave. Joseph commented, "Penelope is a knight". Mia commented, "Penelope is a knight or Amelia is a knight". So who is a knight and who is a knave?

Benjamin Amelia Olivia Penelope Joseph Mia

Benjamin is a knight, Amelia is a knight, Olivia is a knight, Penelope is a knave, Joseph is a knave, and Mia is a knight.

(1) Benjamin is a knight
(2) Amelia is a knight
(3) Olivia is a knight
(4) Penelope is a knave
(5) Joseph is a knave
(6) Mia is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Abigail, Logan, Grace, Henry, Mason, and Lucas. Abigail stated, "Mason is a knave and Grace is a knight". In a statement by Logan: "Abigail is a knight if and only if Abigail is a knave". Grace stated, "Abigail is a knave". According to Henry, "Henry is a knight and Mason is a knave". Mason stated, "Abigail is a knave". In a statement by Lucas: "If Abigail is a knave then Henry is a knight". So who is a knight and who is a knave?

Abigail is a knave, Logan is a knave, Grace is a knight, Henry is a knave, Mason is a knight, and Lucas is a knave.

(1) Abigail is a knave
(2) Logan is a knave
(3) Grace is a knight
(4) Henry is a knave
(5) Mason is a knight
(6) Lucas is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Emily, Aiden, Liam, Logan, Zoey, and Victoria. Emily expressed that Aiden is a knave and Liam is a knight. In Aiden's words: "Liam is not a knave". In a statement by Liam: "Aiden is a knight or Victoria is a knave". Logan noted, "Logan is a knight or Zoey is a knight". "Logan is not a knight," Zoey mentioned. Victoria said, "Liam is a knight and Liam is a knave." So who is a knight and who is a knave?

Emily is a knave, Aiden is a knight, Liam is a knight, Logan is a knight, Zoey is a knave, and Victoria is a knave.

(1) Emily is a knave
(2) Aiden is a knight
(3) Liam is a knight
(4) Logan is a knight
(5) Zoey is a knave
(6) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Benjamin, Olivia, Mason, Zoey, and Grace. Michael commented, "Benjamin is a knave if and only if Grace is a knave". "Mason is a knight or Olivia is a knave," Benjamin mentioned. Olivia said, "Benjamin is a knave." "Olivia is a knight or Michael is a knave," Mason declared. Zoey commented, "Benjamin is not a knight". According to Grace, "If Olivia is a knave then Zoey is a knave". So who is a knight and who is a knave?

Michael Benjamin Olivia Mason Zoey Grace

Michael is a knight, Benjamin is a knight, Olivia is a knave, Mason is a knave, Zoey is a knave, and Grace is a knight.

(1) Michael is a knight
(2) Benjamin is a knight
(3) Olivia is a knave
(4) Mason is a knave
(5) Zoey is a knave
(6) Grace is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Benjamin, Henry, Owen, Abigail, Emily, and Ava. Benjamin remarked, "Benjamin is a knight and Owen is a knave". Henry said that Owen is a knight and Abigail is a knave. Owen remarked, "Ava is a knave". Abigail expressed that If Benjamin is a knave then Owen is a knight. In Emily's words: "Benjamin is a knight if and only if Emily is a knight". Ava commented, "Emily is a knave if and only if Owen is a knight". So who is a knight and who is a knave?

Benjamin is a knight, Henry is a knave, Owen is a knave, Abigail is a knight, Emily is a knight, and Ava is a knight.

(1) Benjamin is a knight
(2) Henry is a knave
(3) Owen is a knave
(4) Abigail is a knight
(5) Emily is a knight
(6) Ava is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Elizabeth, Emma, Olivia, Abigail, Mia, and Aurora. In a statement by Elizabeth: "Olivia is a knight and Abigail is a knight". Emma was heard saying, "Aurora is not a knave". As Olivia put it, "Aurora is a knight if and only if Aurora is a knave". "If Emma is a knave then Aurora is a knave," Abigail declared. Mia remarked, "Aurora is a knight". "Emma is a knave if and only if Emma is a knight" - Aurora. So who is a knight and who is a knave?

Elizabeth Emma Olivia Abigail Mia Aurora

Elizabeth is a knave, Emma is a knave, Olivia is a knave, Abigail is a knight, Mia is a knave, and Aurora is a knave.

(1) Elizabeth is a knave
(2) Emma is a knave
(3) Olivia is a knave
(4) Abigail is a knight
(5) Mia is a knave
(6) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sophia, Logan, Amelia, Chloe, Grace, and Aurora. Sophia remarked, "Grace is not a knave". Logan said that Logan is a knight. "Logan is a knight and Grace is a knave" - Amelia. Chloe stated, "Logan is not a knave". Grace told you that Aurora is a knave or Sophia is a knave. Aurora remarked, "Chloe is not a knight". So who is a knight and who is a knave?

Sophia is a knight, Logan is a knight, Amelia is a knave, Chloe is a knight, Grace is a knight, and Aurora is a knave.

(1) Sophia is a knight
(2) Logan is a knight
(3) Amelia is a knave
(4) Chloe is a knight
(5) Grace is a knight
(6) Aurora is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Liam, Amelia, Isabella, Oliver, Henry, and Aiden. "Isabella is a knight and Oliver is a knight," Liam claimed. Amelia said that Aiden is a knave if and only if Oliver is a knave. Isabella was heard saying, "Aiden is a knight if and only if Liam is a knight". "Isabella is a knave" - Oliver. Henry said, "Oliver is a knight and Isabella is a knight." Aiden said, "Aiden is a knight if and only if Isabella is a knight." So who is a knight and who is a knave?

Liam is a knave, Amelia is a knight, Isabella is a knight, Oliver is a knave, Henry is a knave, and Aiden is a knave.

(1) Liam is a knave
(2) Amelia is a knight
(3) Isabella is a knight
(4) Oliver is a knave
(5) Henry is a knave
(6) Aiden is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Sebastian, Aiden, Henry, Emma, and David. In a statement by Michael: "Sebastian is a knight if and only if Aiden is a knave". Sebastian noted, "Emma is a knight if and only if Henry is a knight". "Emma is a knight if and only if David is a knave," Aiden claimed. Henry expressed that Aiden is a knave. In Emma's words: "Sebastian is a knave and Aiden is a knight". "Emma is a knight," David declared. So who is a knight and who is a knave?

Michael Sebastian Aiden Henry Emma David

Michael is a knave, Sebastian is a knave, Aiden is a knave, Henry is a knight, Emma is a knave, and David is a knave.

(1) Michael is a knave
(2) Sebastian is a knave
(3) Aiden is a knave
(4) Henry is a knight
(5) Emma is a knave
(6) David is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knight. No contradiction is found in their claim that Sebastian is a knave and Aiden is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: James, Alexander, Jacob, Aurora, Harper, and Luke. As James put it, "Alexander is not a knight". In a statement by Alexander: "James is a knave if and only if Harper is a knave". Jacob commented, "Alexander is a knave". In Aurora's words: "James is a knave if and only if Harper is a knave". Harper told you that Aurora is a knight. According to Luke, "James is a knave or Harper is a knave". So who is a knight and who is a knave?

James Alexander Jacob Aurora Harper Luke

James is a knight, Alexander is a knave, Jacob is a knight, Aurora is a knave, Harper is a knave, and Luke is a knight.

(1) James is a knight
(2) Alexander is a knave
(3) Jacob is a knight
(4) Aurora is a knave
(5) Harper is a knave
(6) Luke is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, Matthew, Scarlett, Noah, Lucas, and Liam. "If Scarlett is a knave then Liam is a knave," Sebastian declared. Matthew told you that Lucas is a knave and Scarlett is a knight. "If Liam is a knave then Matthew is a knight" - Scarlett. Noah was heard saying, "Sebastian is a knight or Noah is a knight". "Noah is a knight," Lucas declared. "Liam is a knight if and only if Scarlett is a knave" - Liam. So who is a knight and who is a knave?

Sebastian Matthew Scarlett Noah Lucas Liam

Sebastian is a knight, Matthew is a knave, Scarlett is a knave, Noah is a knight, Lucas is a knight, and Liam is a knave.

(1) Sebastian is a knight
(2) Matthew is a knave
(3) Scarlett is a knave
(4) Noah is a knight
(5) Lucas is a knight
(6) Liam is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Michael, Sophia, William, Aurora, Charlotte, and Mason. Michael stated, "Sophia is a knave". As Sophia put it, "Charlotte is a knight and William is a knight". In William's words: "Michael is a knight or Mason is a knight". According to Aurora, "Michael is a knave and Michael is a knight". Charlotte asserted: "If Aurora is a knave then William is a knave". Mason said, "Aurora is a knave." So who is a knight and who is a knave?

Michael Sophia William Aurora Charlotte Mason

Michael is a knight, Sophia is a knave, William is a knight, Aurora is a knave, Charlotte is a knave, and Mason is a knight.

(1) Michael is a knight
(2) Sophia is a knave
(3) William is a knight
(4) Aurora is a knave
(5) Charlotte is a knave
(6) Mason is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: William, Daniel, Harper, Oliver, Grace, and Sophia. William was heard saying, "Grace is a knave and Oliver is a knave". "Sophia is a knave and Sophia is a knight," Daniel mentioned. Harper said that Sophia is a knight and Harper is a knight. Oliver commented, "Grace is a knave". As Grace put it, "Oliver is a knight or Harper is a knave". Sophia stated, "Daniel is a knight". So who is a knight and who is a knave?

William Daniel Harper Oliver Grace Sophia

William is a knave, Daniel is a knave, Harper is a knave, Oliver is a knave, Grace is a knight, and Sophia is a knave.

(1) William is a knave
(2) Daniel is a knave
(3) Harper is a knave
(4) Oliver is a knave
(5) Grace is a knight
(6) Sophia is a knave

Assume William is a knight. No contradiction is found in their claim that Grace is a knave and Oliver is a knave.

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Grace is a knave and Oliver is a knave.

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

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

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

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

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

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

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

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

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

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

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

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