A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Lily, Matthew, Jackson, Noah, William, and Olivia. Ethan said that Jackson is a knave and Matthew is a knave. "Matthew is a knight," Lily claimed. Matthew noted, "William is a knave or Noah is a knave". "Ethan is a knight or Lily is a knight" - Jackson. "Noah is a knight or Matthew is a knight," Noah declared. "William is a knight if and only if Jackson is a knight," William declared. "If Matthew is a knight then Lily is a knave," Olivia mentioned. So who is a knight and who is a knave?

Ethan Lily Matthew Jackson Noah William Olivia

Ethan is a knave, Lily is a knight, Matthew is a knight, Jackson is a knight, Noah is a knight, William is a knave, and Olivia is a knave.

(1) Ethan is a knave
(2) Lily is a knight
(3) Matthew is a knight
(4) Jackson is a knight
(5) Noah is a knight
(6) William is a knave
(7) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that If Matthew 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 7 inhabitants: Charlotte, Lily, Jackson, Sophia, Ella, Riley, and Aiden. Charlotte remarked, "Lily is a knave or Riley is a knave". "Ella is a knight," Lily claimed. Jackson expressed that Sophia is a knight if and only if Ella is a knight. "Ella is a knave or Aiden is a knight," Sophia declared. Ella said, "If Ella is a knight then Charlotte is a knight." Riley told you that Lily is not a knight. In a statement by Aiden: "If Aiden is a knight then Charlotte is a knight". So who is a knight and who is a knave?

Charlotte Lily Jackson Sophia Ella Riley Aiden

Charlotte is a knight, Lily is a knight, Jackson is a knight, Sophia is a knight, Ella is a knight, Riley is a knave, and Aiden is a knight.

(1) Charlotte is a knight
(2) Lily is a knight
(3) Jackson is a knight
(4) Sophia is a knight
(5) Ella is a knight
(6) Riley is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Mia, Liam, Abigail, Chloe, Henry, and Matthew. Samuel asserted: "Liam is a knave or Henry is a knight". "Henry is not a knight," Mia claimed. Liam noted, "Samuel is not a knight". Abigail told you that Liam is a knight or Mia is a knave. According to Chloe, "Liam is a knave or Mia is a knave". According to Henry, "Mia is a knight and Liam is a knave". Matthew expressed that Abigail is not a knight. So who is a knight and who is a knave?

Samuel Mia Liam Abigail Chloe Henry Matthew

Samuel is a knave, Mia is a knight, Liam is a knight, Abigail is a knight, Chloe is a knave, Henry is a knave, and Matthew is a knave.

(1) Samuel is a knave
(2) Mia is a knight
(3) Liam is a knight
(4) Abigail is a knight
(5) Chloe is a knave
(6) Henry is a knave
(7) Matthew is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Liam is a knave or Mia is a knave.

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

Assume Matthew is a knave. No contradiction is found in their false claim that Abigail 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 7 inhabitants: Henry, Riley, David, Michael, Matthew, Penelope, and Abigail. Henry was heard saying, "Penelope is a knight if and only if Penelope is a knave". Riley asserted: "Michael is a knave and Abigail is a knave". As David put it, "Matthew is a knave". In Michael's words: "If Riley is a knight then Henry is a knave". Matthew commented, "If Abigail is a knave then Henry is a knave". Penelope told you that David is a knight and Riley is a knave. In Abigail's words: "Henry is a knave and Michael is a knight". So who is a knight and who is a knave?

Henry Riley David Michael Matthew Penelope Abigail

Henry is a knave, Riley is a knave, David is a knave, Michael is a knight, Matthew is a knight, Penelope is a knave, and Abigail is a knight.

(1) Henry is a knave
(2) Riley is a knave
(3) David is a knave
(4) Michael is a knight
(5) Matthew is a knight
(6) Penelope is a knave
(7) Abigail is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Michael is a knave and Abigail is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Avery, Alexander, Benjamin, Isabella, Mason, and Victoria. "Victoria is a knight and Isabella is a knight," Elizabeth declared. Avery was heard saying, "Mason is a knight if and only if Avery is a knight". Alexander said that Victoria is not a knight. According to Benjamin, "Alexander is a knight". "Benjamin is not a knight," Isabella claimed. In a statement by Mason: "Avery is a knave and Alexander is a knave". Victoria told you that Mason is a knight. So who is a knight and who is a knave?

Elizabeth Avery Alexander Benjamin Isabella Mason Victoria

Elizabeth is a knight, Avery is a knave, Alexander is a knave, Benjamin is a knave, Isabella is a knight, Mason is a knight, and Victoria is a knight.

(1) Elizabeth is a knight
(2) Avery is a knave
(3) Alexander is a knave
(4) Benjamin is a knave
(5) Isabella is a knight
(6) Mason is a knight
(7) Victoria is a knight

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

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

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

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

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

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

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

Assume Isabella 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 their own that Alexander is a knight.

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

(('and', ('telling-truth', 6), ('telling-truth', 4)), ('<=>', ('telling-truth', 5), ('telling-truth', 1)), ('not', ('telling-truth', 6)), ('telling-truth', 2), ('not', ('telling-truth', 3)), ('and', ('lying', 1), ('lying', 2)), ('telling-truth', 5))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Aria, Olivia, Ethan, Joseph, Jack, and Amelia. Ava expressed that Amelia is a knight. "If Jack is a knight then Ethan is a knight," Aria declared. In Olivia's words: "Aria is a knave or Ethan is a knight". Ethan remarked, "Aria is not a knave". According to Joseph, "Ava is a knight or Ethan is a knight". Jack told you that Amelia is a knight and Joseph is a knight. Amelia was heard saying, "Aria is a knight". So who is a knight and who is a knave?

Ava Aria Olivia Ethan Joseph Jack Amelia

Ava is a knight, Aria is a knight, Olivia is a knight, Ethan is a knight, Joseph is a knight, Jack is a knight, and Amelia is a knight.

(1) Ava is a knight
(2) Aria is a knight
(3) Olivia is a knight
(4) Ethan is a knight
(5) Joseph is a knight
(6) Jack is a knight
(7) Amelia is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Aiden, Ethan, Scarlett, Olivia, Abigail, and Lily. In Zoey's words: "Scarlett is a knave or Ethan is a knight". In Aiden's words: "Lily is a knave if and only if Abigail is a knight". Ethan was heard saying, "Scarlett is a knave or Aiden is a knight". "Zoey is not a knave," Scarlett declared. According to Olivia, "Lily is not a knight". Abigail told you that Scarlett is a knave or Zoey is a knave. "If Scarlett is a knight then Aiden is a knight" - Lily. So who is a knight and who is a knave?

Zoey Aiden Ethan Scarlett Olivia Abigail Lily

Zoey is a knight, Aiden is a knight, Ethan is a knight, Scarlett is a knight, Olivia is a knave, Abigail is a knave, and Lily is a knight.

(1) Zoey is a knight
(2) Aiden is a knight
(3) Ethan is a knight
(4) Scarlett is a knight
(5) Olivia is a knave
(6) Abigail is a knave
(7) Lily is a knight

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

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

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

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

Assume Lily is a knight. No contradiction is found in their claim that If Scarlett is a knight then Aiden is a knight.

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

Assume Abigail is a knave. No contradiction is found in their false claim that Scarlett is a knave or Zoey is a knave.

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

Assume Olivia is a knave. No contradiction is found in their false claim that Lily 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 7 inhabitants: Noah, Jack, Aurora, Grace, Michael, Harper, and Zoey. In a statement by Noah: "Jack is a knave or Grace is a knave". "Grace is a knight" - Jack. Aurora noted, "Noah is a knight or Grace is a knight". Grace stated, "Harper is a knight or Aurora is a knight". Michael told you that If Noah is a knight then Michael is a knight. Harper said that Noah is a knight and Aurora is a knave. Zoey noted, "Grace is not a knight". So who is a knight and who is a knave?

Noah Jack Aurora Grace Michael Harper Zoey

Noah is a knave, Jack is a knight, Aurora is a knight, Grace is a knight, Michael is a knight, Harper is a knave, and Zoey is a knave.

(1) Noah is a knave
(2) Jack is a knight
(3) Aurora is a knight
(4) Grace is a knight
(5) Michael is a knight
(6) Harper is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Jack is a knave or Grace is a knave.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Liam, Grace, Sophia, Noah, Mason, and Evelyn. Aurora said that Noah is not a knight. Liam expressed that Grace is not a knight. Grace stated, "Noah is not a knave". In Sophia's words: "Liam is a knave". Noah commented, "Grace is a knave and Liam is a knave". In a statement by Mason: "If Liam is a knave then Mason is a knight". "If Liam is a knave then Evelyn is a knight," Evelyn claimed. So who is a knight and who is a knave?

Aurora Liam Grace Sophia Noah Mason Evelyn

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

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

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

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

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

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

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

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

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that If Liam 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 7 inhabitants: Elizabeth, Zoey, Aurora, Mason, Scarlett, Isabella, and Sebastian. "Isabella is a knave if and only if Mason is a knave," Elizabeth declared. Zoey remarked, "Scarlett is a knave or Scarlett is a knight". Aurora said, "Isabella is a knave if and only if Zoey is a knave." Mason said, "If Isabella is a knave then Zoey is a knave." According to Scarlett, "Isabella is not a knight". Isabella was heard saying, "Mason is a knave if and only if Sebastian is a knave". Sebastian told you that Aurora is a knave if and only if Elizabeth is a knave. So who is a knight and who is a knave?

Elizabeth Zoey Aurora Mason Scarlett Isabella Sebastian

Elizabeth is a knight, Zoey is a knight, Aurora is a knight, Mason is a knight, Scarlett is a knave, Isabella is a knight, and Sebastian is a knight.

(1) Elizabeth is a knight
(2) Zoey is a knight
(3) Aurora is a knight
(4) Mason is a knight
(5) Scarlett is a knave
(6) Isabella is a knight
(7) Sebastian is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Lily, Logan, Jackson, Aria, Amelia, and David. Aurora commented, "Jackson is not a knave". In a statement by Lily: "If Amelia is a knight then David is a knave". Logan noted, "Jackson is a knight or Aria is a knight". In Jackson's words: "If Amelia is a knight then Aria is a knave". "Logan is a knight or Amelia is a knave," Aria declared. As Amelia put it, "Logan is not a knave". David said, "Amelia is a knave." So who is a knight and who is a knave?

Aurora Lily Logan Jackson Aria Amelia David

Aurora is a knave, Lily is a knight, Logan is a knight, Jackson is a knave, Aria is a knight, Amelia is a knight, and David is a knave.

(1) Aurora is a knave
(2) Lily is a knight
(3) Logan is a knight
(4) Jackson is a knave
(5) Aria is a knight
(6) Amelia is a knight
(7) David is a knave

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

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

Assume Amelia 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 Jackson is a knight or Aria is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Ava, Charlotte, Emily, Olivia, Zoey, and Liam. In Lucas's words: "Lucas is a knight or Ava is a knave". Ava commented, "Lucas is a knight and Olivia is a knave". Charlotte expressed that Zoey is a knave and Liam is a knave. In Emily's words: "Ava is not a knight". In a statement by Olivia: "Ava is a knave or Lucas is a knight". Zoey remarked, "Charlotte is a knave and Emily is a knight". Liam said that If Zoey is a knave then Ava is a knave. So who is a knight and who is a knave?

Lucas Ava Charlotte Emily Olivia Zoey Liam

Lucas is a knight, Ava is a knave, Charlotte is a knave, Emily is a knight, Olivia is a knight, Zoey is a knight, and Liam is a knight.

(1) Lucas is a knight
(2) Ava is a knave
(3) Charlotte is a knave
(4) Emily is a knight
(5) Olivia is a knight
(6) Zoey is a knight
(7) Liam is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Joseph, Owen, Sebastian, James, Lily, and Harper. Logan expressed that Sebastian is not a knave. "Lily is a knave if and only if Lily is a knight" - Joseph. Owen expressed that Harper is a knight if and only if Joseph is a knave. Sebastian told you that Joseph is a knave or Harper is a knave. James remarked, "If Owen is a knight then Logan is a knave". "Owen is a knave if and only if Harper is a knight," Lily mentioned. Harper expressed that Joseph is a knight or Logan is a knave. So who is a knight and who is a knave?

Logan Joseph Owen Sebastian James Lily Harper

Logan is a knight, Joseph is a knave, Owen is a knave, Sebastian is a knight, James is a knight, Lily is a knave, and Harper is a knave.

(1) Logan is a knight
(2) Joseph is a knave
(3) Owen is a knave
(4) Sebastian is a knight
(5) James is a knight
(6) Lily is a knave
(7) Harper is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Benjamin, Oliver, Olivia, Mia, Riley, and Aria. As Amelia put it, "Riley is not a knight". Benjamin expressed that Oliver is a knight. Oliver commented, "Oliver is a knight and Amelia is a knight". Olivia commented, "Oliver is a knight and Amelia is a knave". Mia was heard saying, "Amelia is a knight if and only if Olivia is a knight". Riley remarked, "Olivia is a knave or Amelia is a knight". "Olivia is a knave or Olivia is a knight" - Aria. So who is a knight and who is a knave?

Amelia Benjamin Oliver Olivia Mia Riley Aria

Amelia is a knave, Benjamin is a knave, Oliver is a knave, Olivia is a knave, Mia is a knight, Riley is a knight, and Aria is a knight.

(1) Amelia is a knave
(2) Benjamin is a knave
(3) Oliver is a knave
(4) Olivia is a knave
(5) Mia is a knight
(6) Riley is a knight
(7) Aria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('not', ('telling-truth', 5)), ('telling-truth', 2), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 2), ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('lying', 3), ('telling-truth', 0)), ('or', ('lying', 3), ('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 7 inhabitants: Abigail, Jackson, Lucas, Harper, Grace, Sofia, and Mason. Abigail stated, "Mason is a knight and Jackson is a knave". According to Jackson, "If Mason is a knave then Mason is a knight". Lucas stated, "If Grace is a knave then Sofia is a knave". In a statement by Harper: "If Abigail is a knight then Abigail is a knave". Grace told you that Jackson is a knight or Lucas is a knight. "Lucas is a knight and Harper is a knight," Sofia declared. "Lucas is a knave" - Mason. So who is a knight and who is a knave?

Abigail Jackson Lucas Harper Grace Sofia Mason

Abigail is a knave, Jackson is a knave, Lucas is a knight, Harper is a knight, Grace is a knight, Sofia is a knight, and Mason is a knave.

(1) Abigail is a knave
(2) Jackson is a knave
(3) Lucas is a knight
(4) Harper is a knight
(5) Grace is a knight
(6) Sofia is a knight
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for 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 knight and Jackson is a knave.

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

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

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Lucas is a knight and Harper is a knight.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Victoria, Ava, Michael, Grace, Aiden, and Sofia. In a statement by Liam: "Victoria is not a knave". Victoria noted, "Ava is a knave and Grace is a knight". "If Aiden is a knight then Liam is a knave," Ava mentioned. Michael said, "Victoria is a knight if and only if Liam is a knave." According to Grace, "If Liam is a knight then Liam is a knave". Aiden remarked, "Aiden is a knight and Michael is a knight". Sofia said that Ava is a knave or Michael is a knight. So who is a knight and who is a knave?

Liam Victoria Ava Michael Grace Aiden Sofia

Liam is a knave, Victoria is a knave, Ava is a knight, Michael is a knave, Grace is a knight, Aiden is a knave, and Sofia is a knave.

(1) Liam is a knave
(2) Victoria is a knave
(3) Ava is a knight
(4) Michael is a knave
(5) Grace is a knight
(6) Aiden is a knave
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, David, Olivia, Mason, Abigail, Jack, and Michael. Charlotte said, "Abigail is a knight and Mason is a knight." "Michael is a knave," David declared. Olivia commented, "Michael is not a knave". According to Mason, "Charlotte is a knave and Charlotte is a knight". Abigail was heard saying, "If Mason is a knave then Jack is a knave". Jack told you that If David is a knave then Mason is a knave. Michael stated, "Michael is a knight and David is a knight". So who is a knight and who is a knave?

Charlotte David Olivia Mason Abigail Jack Michael

Charlotte is a knave, David is a knight, Olivia is a knave, Mason is a knave, Abigail is a knave, Jack is a knight, and Michael is a knave.

(1) Charlotte is a knave
(2) David is a knight
(3) Olivia is a knave
(4) Mason is a knave
(5) Abigail is a knave
(6) Jack is a knight
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Benjamin, Henry, Emily, Logan, Ava, and Owen. Alexander remarked, "Logan is a knave". Benjamin expressed that Alexander is a knight or Owen is a knave. In Henry's words: "Logan is a knave or Ava is a knave". Emily commented, "Benjamin is a knave or Benjamin is a knight". Logan remarked, "Benjamin is a knave". "Owen is not a knight," Ava declared. Owen commented, "If Owen is a knight then Logan is a knight". So who is a knight and who is a knave?

Alexander Benjamin Henry Emily Logan Ava Owen

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Daniel, Olivia, Abigail, Emma, Henry, and Luke. As Mia put it, "Abigail is a knave and Luke is a knave". "If Luke is a knight then Abigail is a knight," Daniel declared. Olivia remarked, "Abigail is a knave or Mia is a knave". "Emma is a knave if and only if Olivia is a knight" - Abigail. Emma noted, "Olivia is a knight if and only if Luke is a knave". "Luke is a knave" - Henry. Luke was heard saying, "Abigail is a knave and Luke is a knight". So who is a knight and who is a knave?

Mia Daniel Olivia Abigail Emma Henry Luke

Mia is a knight, Daniel is a knight, Olivia is a knight, Abigail is a knave, Emma is a knight, Henry is a knight, and Luke is a knave.

(1) Mia is a knight
(2) Daniel is a knight
(3) Olivia is a knight
(4) Abigail is a knave
(5) Emma is a knight
(6) Henry is a knight
(7) Luke is a knave

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

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

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

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that 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 7 inhabitants: Amelia, Sophia, Lily, Jack, Sofia, Aiden, and Luke. "Jack is a knight and Sofia is a knave" - Amelia. Sophia stated, "If Amelia is a knave then Aiden is a knight". Lily told you that If Luke is a knave then Jack is a knave. Jack remarked, "Lily is not a knight". "Amelia is a knight or Sophia is a knight," Sofia claimed. In Aiden's words: "Jack is not a knave". Luke remarked, "If Lily is a knight then Lily is a knave". So who is a knight and who is a knave?

Amelia Sophia Lily Jack Sofia Aiden Luke

Amelia is a knave, Sophia is a knave, Lily is a knight, Jack is a knave, Sofia is a knave, Aiden is a knave, and Luke is a knave.

(1) Amelia is a knave
(2) Sophia is a knave
(3) Lily is a knight
(4) Jack is a knave
(5) Sofia is a knave
(6) Aiden is a knave
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Grace, Harper, Liam, Noah, Isabella, and Zoey. Amelia was heard saying, "If Harper is a knave then Zoey is a knight". "Zoey is a knight if and only if Isabella is a knight" - Grace. Harper said, "If Liam is a knave then Grace is a knight." Liam said, "Harper is not a knave." Noah noted, "Zoey is a knight if and only if Zoey is a knave". Isabella was heard saying, "Zoey is not a knave". Zoey remarked, "Liam is a knight or Noah is a knave". So who is a knight and who is a knave?

Amelia Grace Harper Liam Noah Isabella Zoey

Amelia is a knight, Grace is a knight, Harper is a knight, Liam is a knight, Noah is a knave, Isabella is a knight, and Zoey is a knight.

(1) Amelia is a knight
(2) Grace is a knight
(3) Harper is a knight
(4) Liam is a knight
(5) Noah is a knave
(6) Isabella is a knight
(7) Zoey is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Ella, Aurora, Emily, Emma, Grace, and Henry. "Emily is a knight if and only if Ella is a knight," Abigail claimed. Ella expressed that Emma is not a knave. In Aurora's words: "Emma is a knight if and only if Emily is a knave". "If Henry is a knave then Grace is a knave," Emily declared. In Emma's words: "Henry is not a knave". According to Grace, "Emma is a knight or Emily is a knight". In Henry's words: "Emily is a knight and Henry is a knight". So who is a knight and who is a knave?

Abigail Ella Aurora Emily Emma Grace Henry

Abigail is a knight, Ella is a knight, Aurora is a knave, Emily is a knight, Emma is a knight, Grace is a knight, and Henry is a knight.

(1) Abigail is a knight
(2) Ella is a knight
(3) Aurora is a knave
(4) Emily is a knight
(5) Emma is a knight
(6) Grace is a knight
(7) Henry is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Harper, Lily, Elizabeth, James, Evelyn, and Luke. David commented, "Lily is a knight or Luke is a knight". In Harper's words: "David is a knight if and only if Evelyn is a knight". Lily told you that Evelyn is a knight or David is a knight. According to Elizabeth, "If Harper is a knave then Lily is a knight". As James put it, "Elizabeth is a knave or Harper is a knave". "David is not a knight," Evelyn mentioned. Luke expressed that Lily is not a knave. So who is a knight and who is a knave?

David Harper Lily Elizabeth James Evelyn Luke

David is a knight, Harper is a knave, Lily is a knight, Elizabeth is a knight, James is a knight, Evelyn is a knave, and Luke is a knight.

(1) David is a knight
(2) Harper is a knave
(3) Lily is a knight
(4) Elizabeth is a knight
(5) James is a knight
(6) Evelyn is a knave
(7) Luke is a knight

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that Elizabeth 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 7 inhabitants: Liam, Lucas, Noah, Riley, Zoey, Scarlett, and Sebastian. "If Lucas is a knave then Zoey is a knight" - Liam. Lucas was heard saying, "Sebastian is a knave". "Sebastian is not a knight," Noah declared. "Zoey is a knave" - Riley. According to Zoey, "Lucas is a knight if and only if Scarlett is a knave". Scarlett commented, "If Zoey is a knave then Lucas is a knave". Sebastian told you that If Noah is a knight then Liam is a knight. So who is a knight and who is a knave?

Liam Lucas Noah Riley Zoey Scarlett Sebastian

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Luke, James, Sophia, Daniel, Aurora, and Abigail. In William's words: "Luke is not a knight". According to Luke, "William is a knave if and only if Sophia is a knave". James asserted: "Abigail is a knave". Sophia said, "James is a knight." Daniel said that James is a knave if and only if James is a knight. "If James is a knight then James is a knave," Aurora mentioned. In Abigail's words: "Sophia is a knight or Luke is a knave". So who is a knight and who is a knave?

William Luke James Sophia Daniel Aurora Abigail

William is a knight, Luke is a knave, James is a knave, Sophia is a knave, Daniel is a knave, Aurora is a knight, and Abigail is a knight.

(1) William is a knight
(2) Luke is a knave
(3) James is a knave
(4) Sophia is a knave
(5) Daniel is a knave
(6) Aurora is a knight
(7) Abigail is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Jack, Harper, Zoey, Daniel, Avery, and Sophia. William said that Sophia is a knave if and only if Daniel is a knave. Jack commented, "Sophia is not a knave". As Harper put it, "Jack is a knave and Avery is a knave". Zoey stated, "Sophia is a knight". Daniel expressed that Sophia is a knight and Sophia is a knave. Avery noted, "Zoey is a knight and Daniel is a knight". As Sophia put it, "Zoey is a knight if and only if Jack is a knave". So who is a knight and who is a knave?

William Jack Harper Zoey Daniel Avery Sophia

William is a knight, Jack is a knave, Harper is a knight, Zoey is a knave, Daniel is a knave, Avery is a knave, and Sophia is a knave.

(1) William is a knight
(2) Jack is a knave
(3) Harper is a knight
(4) Zoey is a knave
(5) Daniel is a knave
(6) Avery is a knave
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Harper is a knight. No contradiction is found in their claim that Jack is a knave and Avery is a knave.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Noah, Sophia, Aiden, Avery, Jack, and Luke. Abigail noted, "Avery is a knight if and only if Luke is a knave". "Sophia is a knight and Luke is a knave," Noah mentioned. "If Luke is a knave then Sophia is a knight," Sophia declared. Aiden commented, "Noah is a knight and Aiden is a knight". Avery remarked, "Jack is a knight". In Jack's words: "Sophia is not a knight". Luke asserted: "Avery is a knave if and only if Sophia is a knight". So who is a knight and who is a knave?

Abigail Noah Sophia Aiden Avery Jack Luke

Abigail is a knight, Noah is a knave, Sophia is a knight, Aiden is a knave, Avery is a knave, Jack is a knave, and Luke is a knight.

(1) Abigail is a knight
(2) Noah is a knave
(3) Sophia is a knight
(4) Aiden is a knave
(5) Avery is a knave
(6) Jack is a knave
(7) Luke is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Henry, Logan, Ethan, Zoey, Amelia, and Emily. "If Emily is a knight then Zoey is a knave," Lily claimed. Henry told you that Emily is a knave if and only if Logan is a knave. Logan remarked, "Emily is a knight and Henry is a knight". Ethan asserted: "Logan is a knight or Emily is a knight". Zoey stated, "Henry is a knight". According to Amelia, "Zoey is a knight and Logan is a knave". Emily told you that Henry is a knight. So who is a knight and who is a knave?

Lily Henry Logan Ethan Zoey Amelia Emily

Lily is a knave, Henry is a knight, Logan is a knight, Ethan is a knight, Zoey is a knight, Amelia is a knave, and Emily is a knight.

(1) Lily is a knave
(2) Henry is a knight
(3) Logan is a knight
(4) Ethan is a knight
(5) Zoey is a knight
(6) Amelia is a knave
(7) Emily is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Emily 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 Emily that Henry is a knight.

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

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

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

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

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

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

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

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

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

(('->', ('telling-truth', 6), ('lying', 4)), ('<=>', ('lying', 6), ('lying', 2)), ('and', ('telling-truth', 6), ('telling-truth', 1)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('telling-truth', 1), ('and', ('telling-truth', 4), ('lying', 2)), ('telling-truth', 1))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Zoey, Sebastian, Samuel, Henry, Luke, and Isabella. Lily was heard saying, "Zoey is a knave if and only if Henry is a knave". According to Zoey, "Sebastian is a knave". In Sebastian's words: "Zoey is a knave or Samuel is a knight". Samuel remarked, "Zoey is a knight". "Sebastian is a knight or Luke is a knave," Henry mentioned. Luke said, "If Henry is a knave then Samuel is a knight." In Isabella's words: "Luke is not a knave". So who is a knight and who is a knave?

Lily Zoey Sebastian Samuel Henry Luke Isabella

Lily is a knave, Zoey is a knave, Sebastian is a knight, Samuel is a knave, Henry is a knight, Luke is a knight, and Isabella is a knight.

(1) Lily is a knave
(2) Zoey is a knave
(3) Sebastian is a knight
(4) Samuel is a knave
(5) Henry is a knight
(6) Luke is a knight
(7) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Victoria, Olivia, Riley, Lily, Owen, and Mia. Aria expressed that Victoria is a knight or Mia is a knave. In a statement by Victoria: "If Riley is a knight then Owen is a knave". Olivia was heard saying, "Lily is a knight and Owen is a knave". "Olivia is a knave," Riley mentioned. "Aria is a knight and Owen is a knave," Lily declared. Owen was heard saying, "If Olivia is a knight then Lily is a knight". "Olivia is a knave and Riley is a knight," Mia declared. So who is a knight and who is a knave?

Aria Victoria Olivia Riley Lily Owen Mia

Aria is a knave, Victoria is a knave, Olivia is a knave, Riley is a knight, Lily is a knave, Owen is a knight, and Mia is a knight.

(1) Aria is a knave
(2) Victoria is a knave
(3) Olivia is a knave
(4) Riley is a knight
(5) Lily is a knave
(6) Owen is a knight
(7) Mia is a knight

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

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

Assume Riley 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 Riley that Olivia is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knight. No contradiction is found in their claim that Olivia is a knave and 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 7 inhabitants: Ava, Jackson, Sofia, Logan, Samuel, Michael, and Henry. Ava stated, "Michael is a knight". Jackson asserted: "Ava is a knight and Michael is a knight". Sofia asserted: "Logan is a knight or Jackson is a knave". "Sofia is not a knight," Logan claimed. "Sofia is a knight or Logan is a knight" - Samuel. Michael stated, "Jackson is a knight and Logan is a knave". Henry said, "Ava is a knave if and only if Michael is a knave." So who is a knight and who is a knave?

Ava Jackson Sofia Logan Samuel Michael Henry

Ava is a knave, Jackson is a knave, Sofia is a knight, Logan is a knave, Samuel is a knight, Michael is a knave, and Henry is a knight.

(1) Ava is a knave
(2) Jackson is a knave
(3) Sofia is a knight
(4) Logan is a knave
(5) Samuel is a knight
(6) Michael is a knave
(7) Henry is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Zoey, Sophia, Samuel, Evelyn, Henry, and Owen. Michael said that If Henry is a knight then Zoey is a knave. Zoey said that Michael is not a knave. "Samuel is not a knight," Sophia mentioned. "If Owen is a knight then Michael is a knave" - Samuel. Evelyn was heard saying, "Sophia is a knave and Owen is a knave". Henry asserted: "If Michael is a knight then Owen is a knave". Owen stated, "If Zoey is a knave then Evelyn is a knight". So who is a knight and who is a knave?

Michael Zoey Sophia Samuel Evelyn Henry Owen

Michael is a knight, Zoey is a knight, Sophia is a knight, Samuel is a knave, Evelyn is a knave, Henry is a knave, and Owen is a knight.

(1) Michael is a knight
(2) Zoey is a knight
(3) Sophia is a knight
(4) Samuel is a knave
(5) Evelyn is a knave
(6) Henry is a knave
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that If Owen is a knight then 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 7 inhabitants: Lucas, Liam, Grace, Harper, Luke, Sofia, and Penelope. "Harper is a knave and Luke is a knight," Lucas mentioned. "Penelope is a knight if and only if Harper is a knave," Liam claimed. Grace told you that If Luke is a knight then Grace is a knight. Harper stated, "Grace is a knave". Luke told you that Penelope is not a knave. Sofia noted, "Liam is not a knight". Penelope remarked, "Lucas is not a knight". So who is a knight and who is a knave?

Lucas Liam Grace Harper Luke Sofia Penelope

Lucas is a knave, Liam is a knave, Grace is a knave, Harper is a knight, Luke is a knight, Sofia is a knight, and Penelope is a knight.

(1) Lucas is a knave
(2) Liam is a knave
(3) Grace is a knave
(4) Harper is a knight
(5) Luke is a knight
(6) Sofia is a knight
(7) Penelope is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Liam 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 7 inhabitants: Harper, Aurora, Jacob, Chloe, Riley, Avery, and Zoey. Harper told you that Aurora is a knave if and only if Jacob is a knave. Aurora commented, "Jacob is a knight or Zoey is a knight". Jacob said, "Avery is a knight and Riley is a knight." According to Chloe, "Riley is a knave or Avery is a knave". Riley was heard saying, "Zoey is a knight if and only if Avery is a knave". In a statement by Avery: "Zoey is a knave and Jacob is a knight". Zoey commented, "Avery is a knight". So who is a knight and who is a knave?

Harper Aurora Jacob Chloe Riley Avery Zoey

Harper is a knight, Aurora is a knave, Jacob is a knave, Chloe is a knight, Riley is a knave, Avery is a knave, and Zoey is a knave.

(1) Harper is a knight
(2) Aurora is a knave
(3) Jacob is a knave
(4) Chloe is a knight
(5) Riley is a knave
(6) Avery is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that Riley is a knave or 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 7 inhabitants: Henry, Alexander, Grace, Logan, Owen, Evelyn, and Benjamin. Henry was heard saying, "Grace is a knave and Henry is a knight". In a statement by Alexander: "If Benjamin is a knave then Owen is a knave". Grace was heard saying, "Henry is a knave if and only if Owen is a knave". Logan told you that Benjamin is a knight if and only if Owen is a knight. "Alexander is a knight and Evelyn is a knave," Owen claimed. In a statement by Evelyn: "Grace is not a knight". "If Henry is a knave then Alexander is a knave" - Benjamin. So who is a knight and who is a knave?

Henry Alexander Grace Logan Owen Evelyn Benjamin

Henry is a knight, Alexander is a knight, Grace is a knave, Logan is a knave, Owen is a knave, Evelyn is a knight, and Benjamin is a knight.

(1) Henry is a knight
(2) Alexander is a knight
(3) Grace is a knave
(4) Logan is a knave
(5) Owen is a knave
(6) Evelyn is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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