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, Lucas, Emily, Penelope, Victoria, Isabella, and Mason. Amelia said that Penelope is a knave if and only if Lucas is a knave. In Lucas's words: "Amelia is a knight or Penelope is a knave". Emily said that Amelia is a knight if and only if Victoria is a knave. Penelope asserted: "Emily is a knave if and only if Isabella is a knave". Victoria commented, "Lucas is a knave and Isabella is a knight". Isabella remarked, "Penelope is a knight and Amelia is a knave". Mason was heard saying, "Amelia is a knight and Isabella is a knight". So who is a knight and who is a knave?

Amelia Lucas Emily Penelope Victoria Isabella Mason

Amelia is a knave, Lucas is a knave, Emily is a knight, Penelope is a knight, Victoria is a knight, Isabella is a knight, and Mason is a knave.

(1) Amelia is a knave
(2) Lucas is a knave
(3) Emily is a knight
(4) Penelope is a knight
(5) Victoria is a knight
(6) Isabella is a knight
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

Lucas cannot be a knave, because this would contradict the claim of Amelia that Penelope is a knave if and only if Lucas is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Penelope is a knight and Amelia is a knave.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Scarlett, Chloe, Penelope, Emma, Mia, and Mason. "Emma is a knave if and only if Penelope is a knight" - Henry. "Penelope is a knave and Penelope is a knight," Scarlett claimed. As Chloe put it, "If Mason is a knave then Mia is a knave". "If Emma is a knight then Mason is a knight," Penelope mentioned. Emma told you that Henry is not a knave. According to Mia, "Scarlett is a knave if and only if Mason is a knight". Mason was heard saying, "Mia is a knight". So who is a knight and who is a knave?

Henry Scarlett Chloe Penelope Emma Mia Mason

Henry is a knight, Scarlett is a knave, Chloe is a knight, Penelope is a knave, Emma is a knight, Mia is a knave, and Mason is a knave.

(1) Henry is a knight
(2) Scarlett is a knave
(3) Chloe is a knight
(4) Penelope is a knave
(5) Emma is a knight
(6) Mia is a knave
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Lily, Chloe, Emily, Benjamin, Alexander, and Charlotte. Ella expressed that If Charlotte is a knight then Alexander is a knave. "Benjamin is a knight if and only if Emily is a knave," Lily declared. In Chloe's words: "Alexander is a knave and Lily is a knave". Emily remarked, "Charlotte is a knight if and only if Lily is a knight". "Lily is a knight," Benjamin declared. Alexander noted, "Lily is a knave or Emily is a knave". Charlotte commented, "Benjamin is a knave or Lily is a knight". So who is a knight and who is a knave?

Ella Lily Chloe Emily Benjamin Alexander Charlotte

Ella is a knave, Lily is a knave, Chloe is a knave, Emily is a knave, Benjamin is a knave, Alexander is a knight, and Charlotte is a knight.

(1) Ella is a knave
(2) Lily is a knave
(3) Chloe is a knave
(4) Emily is a knave
(5) Benjamin is a knave
(6) Alexander is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Alexander is a knave and 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: Mia, Aurora, Chloe, Logan, Aiden, Noah, and Henry. Mia commented, "Noah is a knight or Logan is a knave". Aurora commented, "If Henry is a knight then Logan is a knight". Chloe was heard saying, "Logan is a knave if and only if Mia is a knight". "Chloe is a knave if and only if Aurora is a knight" - Logan. Aiden told you that Henry is a knight and Noah is a knight. As Noah put it, "Mia is a knight and Aurora is a knave". "Aurora is a knave and Henry is a knight," Henry declared. So who is a knight and who is a knave?

Mia is a knight, Aurora is a knight, Chloe is a knight, Logan is a knave, Aiden is a knave, Noah is a knave, and Henry is a knave.

(1) Mia is a knight
(2) Aurora is a knight
(3) Chloe is a knight
(4) Logan is a knave
(5) Aiden is a knave
(6) Noah is a knave
(7) Henry is a knave

Assume Mia is a knight. No contradiction is found in their claim that Noah is a knight or Logan is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Joseph, Evelyn, Zoey, Charlotte, Samuel, and Ethan. "Charlotte is a knight and Ethan is a knave," Sophia declared. Joseph remarked, "Ethan is a knight and Samuel is a knave". "Evelyn is a knight or Samuel is a knave," Evelyn claimed. In a statement by Zoey: "If Charlotte is a knave then Sophia is a knave". Charlotte expressed that Joseph is not a knight. Samuel told you that Zoey is a knight if and only if Ethan is a knave. Ethan remarked, "Evelyn is a knave". So who is a knight and who is a knave?

Sophia Joseph Evelyn Zoey Charlotte Samuel Ethan

Sophia is a knight, Joseph is a knave, Evelyn is a knight, Zoey is a knight, Charlotte is a knight, Samuel is a knight, and Ethan is a knave.

(1) Sophia is a knight
(2) Joseph is a knave
(3) Evelyn is a knight
(4) Zoey is a knight
(5) Charlotte is a knight
(6) Samuel is a knight
(7) Ethan is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Lily, Benjamin, James, Abigail, Sophia, and Elizabeth. Henry said, "Benjamin is not a knight." In Lily's words: "Benjamin is a knight if and only if Henry is a knave". Benjamin remarked, "James is a knave". "Lily is a knave if and only if Lily is a knight," James declared. Abigail said, "Sophia is not a knave." Sophia remarked, "Lily is a knight". Elizabeth commented, "If Lily is a knave then Lily is a knight". So who is a knight and who is a knave?

Henry Lily Benjamin James Abigail Sophia Elizabeth

Henry is a knave, Lily is a knight, Benjamin is a knight, James is a knave, Abigail is a knight, Sophia is a knight, and Elizabeth is a knight.

(1) Henry is a knave
(2) Lily is a knight
(3) Benjamin is a knight
(4) James is a knave
(5) Abigail is a knight
(6) Sophia is a knight
(7) Elizabeth is a knight

Assume Henry 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 Henry that Benjamin is not a knight.

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

James 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.

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

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

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

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

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

Assume James 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 Benjamin is a knight if and only if Henry is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Lily, Chloe, Daniel, Sebastian, Mason, and Olivia. "If Sebastian is a knight then Alexander is a knight," Alexander declared. Lily was heard saying, "If Chloe is a knave then Daniel is a knight". As Chloe put it, "Mason is a knave". Daniel was heard saying, "Lily is a knave and Alexander is a knave". Sebastian asserted: "Olivia is not a knight". In Mason's words: "Alexander is not a knave". Olivia remarked, "Lily is a knight if and only if Sebastian is a knave". So who is a knight and who is a knave?

Alexander Lily Chloe Daniel Sebastian Mason Olivia

Alexander is a knave, Lily is a knight, Chloe is a knight, Daniel is a knave, Sebastian is a knight, Mason is a knave, and Olivia is a knave.

(1) Alexander is a knave
(2) Lily is a knight
(3) Chloe is a knight
(4) Daniel is a knave
(5) Sebastian is a knight
(6) Mason is a knave
(7) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Lily is a knave and Alexander is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Penelope, Amelia, Liam, Abigail, Oliver, and Aurora. Elizabeth said, "Liam is not a knave." "Aurora is a knave if and only if Amelia is a knight," Penelope declared. Amelia was heard saying, "Aurora is a knight or Penelope is a knave". As Liam put it, "Aurora is a knave if and only if Amelia is a knight". Abigail stated, "Liam is a knave". Oliver was heard saying, "Liam is a knave and Amelia is a knave". "If Penelope is a knave then Oliver is a knave" - Aurora. So who is a knight and who is a knave?

Elizabeth Penelope Amelia Liam Abigail Oliver Aurora

Elizabeth is a knave, Penelope is a knave, Amelia is a knight, Liam is a knave, Abigail is a knight, Oliver is a knave, and Aurora is a knight.

(1) Elizabeth is a knave
(2) Penelope is a knave
(3) Amelia is a knight
(4) Liam is a knave
(5) Abigail is a knight
(6) Oliver is a knave
(7) Aurora is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Abigail is a knight. No contradiction is found in their claim that Liam 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: Abigail, Aria, Chloe, William, Aurora, Avery, and Matthew. Abigail asserted: "Avery is a knave and Aurora is a knave". "Avery is a knave or Aria is a knight," Aria declared. Chloe commented, "Aria is a knight". In William's words: "Aria is a knight and Matthew is a knight". "Aria is a knave and Abigail is a knight," Aurora claimed. "If Avery is a knight then Chloe is a knave," Avery declared. Matthew was heard saying, "Aria is a knight or Chloe is a knave". So who is a knight and who is a knave?

Abigail Aria Chloe William Aurora Avery Matthew

Abigail is a knave, Aria is a knave, Chloe is a knave, William is a knave, Aurora is a knave, Avery is a knight, and Matthew is a knight.

(1) Abigail is a knave
(2) Aria is a knave
(3) Chloe is a knave
(4) William is a knave
(5) Aurora is a knave
(6) Avery is a knight
(7) Matthew is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Matthew is a knight. No contradiction is found in their claim that Aria is a knight or Chloe 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: Grace, Jacob, Sophia, Avery, Oliver, Mia, and Zoey. Grace noted, "Sophia is a knight and Avery is a knave". Jacob commented, "Mia is a knave if and only if Sophia is a knave". "If Mia is a knight then Jacob is a knave" - Sophia. Avery commented, "Zoey is a knight and Grace is a knave". Oliver stated, "Grace is a knave". Mia stated, "Avery is a knight or Jacob is a knight". As Zoey put it, "Mia is a knight and Avery is a knight". So who is a knight and who is a knave?

Grace Jacob Sophia Avery Oliver Mia Zoey

Grace is a knight, Jacob is a knave, Sophia is a knight, Avery is a knave, Oliver is a knave, Mia is a knave, and Zoey is a knave.

(1) Grace is a knight
(2) Jacob is a knave
(3) Sophia is a knight
(4) Avery is a knave
(5) Oliver is a knave
(6) Mia is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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, Zoey, Grace, Victoria, Emily, Jacob, and Benjamin. In Charlotte's words: "Benjamin is a knight if and only if Emily is a knight". Zoey told you that Zoey is a knight. In a statement by Grace: "Emily is a knight and Benjamin is a knight". "Zoey is a knight if and only if Emily is a knave," Victoria declared. Emily said that Zoey is a knave if and only if Grace is a knight. "Grace is not a knight," Jacob claimed. In Benjamin's words: "Grace is a knave". So who is a knight and who is a knave?

Charlotte Zoey Grace Victoria Emily Jacob Benjamin

Charlotte is a knave, Zoey is a knave, Grace is a knave, Victoria is a knave, Emily is a knave, Jacob is a knight, and Benjamin is a knight.

(1) Charlotte is a knave
(2) Zoey is a knave
(3) Grace is a knave
(4) Victoria is a knave
(5) Emily is a knave
(6) Jacob is a knight
(7) Benjamin is a knight

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

Assume Benjamin 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 Benjamin that Grace is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knight. No contradiction is found in their claim that Grace 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: James, Alexander, Matthew, Ava, Ella, Lily, and Harper. James was heard saying, "Lily is a knave and Matthew is a knight". "Matthew is a knave and Ava is a knight," Alexander claimed. Matthew said that Lily is a knight if and only if James is a knight. Ava said, "If Alexander is a knight then Matthew is a knave." Ella noted, "If Harper is a knight then Lily is a knight". "Matthew is not a knight," Lily declared. Harper commented, "If Matthew is a knave then Ella is a knave". So who is a knight and who is a knave?

James Alexander Matthew Ava Ella Lily Harper

James is a knave, Alexander is a knight, Matthew is a knave, Ava is a knight, Ella is a knight, Lily is a knight, and Harper is a knave.

(1) James is a knave
(2) Alexander is a knight
(3) Matthew is a knave
(4) Ava is a knight
(5) Ella is a knight
(6) Lily is a knight
(7) Harper is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Jack, Jacob, Lily, Noah, Owen, and Michael. As Ethan put it, "Owen is a knave if and only if Jacob is a knave". Jack expressed that If Noah is a knight then Jack is a knight. Jacob expressed that Owen is not a knight. As Lily put it, "Ethan is a knave and Jacob is a knight". In a statement by Noah: "Owen is not a knight". Owen asserted: "Noah is a knight and Jack is a knight". "If Jack is a knave then Jack is a knight" - Michael. So who is a knight and who is a knave?

Ethan is a knave, Jack is a knave, Jacob is a knight, Lily is a knight, Noah is a knight, Owen is a knave, and Michael is a knave.

(1) Ethan is a knave
(2) Jack is a knave
(3) Jacob is a knight
(4) Lily is a knight
(5) Noah is a knight
(6) Owen is a knave
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Michael is a knave. No contradiction is found in their false claim that If Jack is a knave then Jack 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: Luke, Sebastian, Riley, Grace, Sofia, Aurora, and Emily. Luke said that Riley is a knave if and only if Grace is a knave. "Sofia is a knave," Sebastian mentioned. In a statement by Riley: "Aurora is a knight if and only if Grace is a knight". "If Riley is a knave then Grace is a knight," Grace mentioned. Sofia noted, "Aurora is a knave if and only if Grace is a knave". According to Aurora, "Emily is a knight if and only if Luke is a knave". "Sebastian is not a knave" - Emily. So who is a knight and who is a knave?

Luke Sebastian Riley Grace Sofia Aurora Emily

Luke is a knight, Sebastian is a knave, Riley is a knight, Grace is a knight, Sofia is a knight, Aurora is a knight, and Emily is a knave.

(1) Luke is a knight
(2) Sebastian is a knave
(3) Riley is a knight
(4) Grace is a knight
(5) Sofia is a knight
(6) Aurora is a knight
(7) Emily is a knave

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

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

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

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

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

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

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

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

Assume Grace is a knight. No contradiction is found in their claim that If Riley is a knave then Grace 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: Michael, Scarlett, Aria, Luke, Riley, Matthew, and Jackson. "Michael is a knight and Matthew is a knave," Michael claimed. Scarlett commented, "If Michael is a knave then Jackson is a knave". "Matthew is a knave and Aria is a knight" - Aria. Luke stated, "Scarlett is a knave and Michael is a knave". Riley remarked, "If Aria is a knight then Jackson is a knave". Matthew was heard saying, "Luke is a knave or Jackson is a knave". Jackson said, "If Aria is a knight then Aria is a knave." So who is a knight and who is a knave?

Michael Scarlett Aria Luke Riley Matthew Jackson

Michael is a knave, Scarlett is a knave, Aria is a knave, Luke is a knight, Riley is a knight, Matthew is a knave, and Jackson is a knight.

(1) Michael is a knave
(2) Scarlett is a knave
(3) Aria is a knave
(4) Luke is a knight
(5) Riley is a knight
(6) Matthew is a knave
(7) Jackson is a knight

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

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

Assume Matthew is a knave. No contradiction is found in their false claim that Luke is a knave or Jackson is a knave.

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

Luke cannot be a knave, because this would contradict the false claim of Matthew that Luke is a knave or Jackson is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Chloe, Jackson, Lily, James, Owen, and Michael. Jack commented, "James is a knight and Michael is a knight". Chloe told you that Jackson is a knave if and only if Jackson is a knight. According to Jackson, "Chloe is a knave and Michael is a knight". "Owen is a knight if and only if Lily is a knight," Lily claimed. James said that Lily is a knight. Owen remarked, "James is a knight or Lily is a knight". "James is a knight," Michael mentioned. So who is a knight and who is a knave?

Jack Chloe Jackson Lily James Owen Michael

Jack is a knight, Chloe is a knave, Jackson is a knight, Lily is a knight, James is a knight, Owen is a knight, and Michael is a knight.

(1) Jack is a knight
(2) Chloe is a knave
(3) Jackson is a knight
(4) Lily is a knight
(5) James is a knight
(6) Owen is a knight
(7) Michael is a knight

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 4), ('telling-truth', 6)), ('<=>', ('lying', 2), ('telling-truth', 2)), ('and', ('lying', 1), ('telling-truth', 6)), ('<=>', ('telling-truth', 5), ('telling-truth', 3)), ('telling-truth', 3), ('or', ('telling-truth', 4), ('telling-truth', 3)), ('telling-truth', 4))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Jack, Henry, Abigail, Avery, Sophia, and Zoey. According to Grace, "Avery is a knight". Jack said, "Henry is a knight." Henry remarked, "Abigail is a knight or Grace is a knave". According to Abigail, "Sophia is a knight". "Sophia is a knave if and only if Grace is a knight," Avery claimed. "Jack is a knight and Avery is a knave," Sophia claimed. In Zoey's words: "Abigail is not a knave". So who is a knight and who is a knave?

Grace Jack Henry Abigail Avery Sophia Zoey

Grace is a knight, Jack is a knave, Henry is a knave, Abigail is a knave, Avery is a knight, Sophia is a knave, and Zoey is a knave.

(1) Grace is a knight
(2) Jack is a knave
(3) Henry is a knave
(4) Abigail is a knave
(5) Avery is a knight
(6) Sophia is a knave
(7) Zoey is a knave

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

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

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

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

Assume Jack 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 Abigail is a knight or Grace is a knave.

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

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

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

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

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

Assume Jack 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 Jack that Henry is a knight.

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

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

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

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

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

(('telling-truth', 4), ('telling-truth', 2), ('or', ('telling-truth', 3), ('lying', 0)), ('telling-truth', 5), ('<=>', ('lying', 5), ('telling-truth', 0)), ('and', ('telling-truth', 1), ('lying', 4)), ('not', ('lying', 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: Zoey, Matthew, Riley, Samuel, Lily, Owen, and Mason. Zoey said that If Samuel is a knave then Mason is a knight. "Riley is not a knight," Matthew claimed. Riley was heard saying, "Owen is a knave or Mason is a knave". Samuel was heard saying, "Matthew is not a knight". Lily was heard saying, "Matthew is not a knave". As Owen put it, "Samuel is a knave". Mason stated, "Riley is a knight if and only if Lily is a knight". So who is a knight and who is a knave?

Zoey Matthew Riley Samuel Lily Owen Mason

Zoey is a knight, Matthew is a knave, Riley is a knight, Samuel is a knight, Lily is a knave, Owen is a knave, and Mason is a knave.

(1) Zoey is a knight
(2) Matthew is a knave
(3) Riley is a knight
(4) Samuel is a knight
(5) Lily is a knave
(6) Owen is a knave
(7) Mason is a knave

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

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

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

Assume Matthew 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 Owen is a knave or Mason is a knave.

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Aurora, Emily, Penelope, Liam, Samuel, and Sofia. According to Benjamin, "Emily is a knave". Aurora told you that If Samuel is a knight then Sofia is a knave. Emily expressed that Penelope is a knave. Penelope commented, "Sofia is a knave and Liam is a knight". Liam expressed that Aurora is a knight or Sofia is a knave. "Sofia is a knave or Sofia is a knight" - Samuel. According to Sofia, "Emily is a knave and Sofia is a knight". So who is a knight and who is a knave?

Benjamin Aurora Emily Penelope Liam Samuel Sofia

Benjamin is a knight, Aurora is a knight, Emily is a knave, Penelope is a knight, Liam is a knight, Samuel is a knight, and Sofia is a knave.

(1) Benjamin is a knight
(2) Aurora is a knight
(3) Emily is a knave
(4) Penelope is a knight
(5) Liam is a knight
(6) Samuel is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Penelope, Samuel, Zoey, Liam, Emma, and Elizabeth. Grace told you that Elizabeth is a knave and Elizabeth is a knight. Penelope noted, "Liam is not a knave". Samuel stated, "Liam is a knight and Samuel is a knight". As Zoey put it, "Emma is not a knight". As Liam put it, "Zoey is a knave if and only if Liam is a knight". According to Emma, "If Elizabeth is a knight then Liam is a knave". Elizabeth said, "Penelope is a knight." So who is a knight and who is a knave?

Grace Penelope Samuel Zoey Liam Emma Elizabeth

Grace is a knave, Penelope is a knave, Samuel is a knave, Zoey is a knave, Liam is a knave, Emma is a knight, and Elizabeth is a knave.

(1) Grace is a knave
(2) Penelope is a knave
(3) Samuel is a knave
(4) Zoey is a knave
(5) Liam is a knave
(6) Emma is a knight
(7) Elizabeth is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Samuel, Oliver, Grace, Elizabeth, Sebastian, and Victoria. "If Grace is a knight then Elizabeth is a knave," Ethan declared. Samuel remarked, "Sebastian is not a knave". "Ethan is not a knave," Oliver mentioned. Grace told you that Victoria is a knight. Elizabeth said that Sebastian is not a knave. Sebastian asserted: "If Elizabeth is a knave then Oliver is a knight". According to Victoria, "Samuel is a knave and Oliver is a knight". So who is a knight and who is a knave?

Ethan Samuel Oliver Grace Elizabeth Sebastian Victoria

Ethan is a knight, Samuel is a knight, Oliver is a knight, Grace is a knave, Elizabeth is a knight, Sebastian is a knight, and Victoria is a knave.

(1) Ethan is a knight
(2) Samuel is a knight
(3) Oliver is a knight
(4) Grace is a knave
(5) Elizabeth is a knight
(6) Sebastian is a knight
(7) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel 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 If Elizabeth is a knave then Oliver is a knight.

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

Assume Oliver is a knight. No contradiction is found in their claim that Ethan 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: Aurora, Michael, Victoria, Jack, Lucas, Samuel, and Chloe. "If Chloe is a knave then Chloe is a knight" - Aurora. Michael told you that Samuel is not a knight. Victoria commented, "Lucas is a knight or Samuel is a knight". Jack said, "Aurora is a knight if and only if Lucas is a knight." Lucas said that Aurora is a knave if and only if Michael is a knight. In a statement by Samuel: "Aurora is a knight and Chloe is a knight". In Chloe's words: "Victoria is a knight or Jack is a knight". So who is a knight and who is a knave?

Aurora Michael Victoria Jack Lucas Samuel Chloe

Aurora is a knight, Michael is a knave, Victoria is a knight, Jack is a knight, Lucas is a knight, Samuel is a knight, and Chloe is a knight.

(1) Aurora is a knight
(2) Michael is a knave
(3) Victoria is a knight
(4) Jack is a knight
(5) Lucas is a knight
(6) Samuel is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

(('->', ('lying', 6), ('telling-truth', 6)), ('not', ('telling-truth', 5)), ('or', ('telling-truth', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 0), ('telling-truth', 4)), ('<=>', ('lying', 0), ('telling-truth', 1)), ('and', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 2), ('telling-truth', 3)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Lily, Grace, Sophia, Zoey, Aurora, and Riley. As Luke put it, "If Zoey is a knave then Grace is a knight". Lily told you that Zoey is not a knave. Grace asserted: "Riley is a knave and Zoey is a knight". Sophia asserted: "If Lily is a knave then Aurora is a knave". In Zoey's words: "Lily is a knave if and only if Zoey is a knight". Aurora stated, "Lily is a knight and Riley is a knave". Riley commented, "Lily is a knave if and only if Aurora is a knave". So who is a knight and who is a knave?

Luke Lily Grace Sophia Zoey Aurora Riley

Luke is a knave, Lily is a knave, Grace is a knave, Sophia is a knight, Zoey is a knave, Aurora is a knave, and Riley is a knight.

(1) Luke is a knave
(2) Lily is a knave
(3) Grace is a knave
(4) Sophia is a knight
(5) Zoey is a knave
(6) Aurora is a knave
(7) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aurora, Emily, Chloe, Mia, Amelia, and Alexander. Jacob noted, "If Emily is a knight then Alexander is a knight". Aurora noted, "Chloe is a knight and Mia is a knight". "Jacob is a knave," Emily claimed. In Chloe's words: "Aurora is a knave and Jacob is a knave". Mia said that Amelia is a knight or Alexander is a knave. According to Amelia, "Mia is a knight if and only if Aurora is a knight". Alexander noted, "Emily is a knight and Jacob is a knave". So who is a knight and who is a knave?

Jacob Aurora Emily Chloe Mia Amelia Alexander

Jacob is a knight, Aurora is a knave, Emily is a knave, Chloe is a knave, Mia is a knight, Amelia is a knave, and Alexander is a knave.

(1) Jacob is a knight
(2) Aurora is a knave
(3) Emily is a knave
(4) Chloe is a knave
(5) Mia is a knight
(6) Amelia is a knave
(7) Alexander is a knave

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Aurora is a knave and Jacob is a knave.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Matthew, Amelia, Aria, Emily, Grace, and Lucas. Isabella asserted: "If Lucas is a knight then Emily is a knave". In Matthew's words: "Aria is a knight and Isabella is a knave". Amelia expressed that Grace is a knave or Emily is a knight. Aria said, "Matthew is a knight if and only if Isabella is a knight." Emily expressed that Lucas is a knight and Grace is a knave. In Grace's words: "Aria is a knight or Emily is a knave". Lucas was heard saying, "Aria is a knave or Amelia is a knave". So who is a knight and who is a knave?

Isabella Matthew Amelia Aria Emily Grace Lucas

Isabella is a knight, Matthew is a knave, Amelia is a knave, Aria is a knave, Emily is a knave, Grace is a knight, and Lucas is a knight.

(1) Isabella is a knight
(2) Matthew is a knave
(3) Amelia is a knave
(4) Aria is a knave
(5) Emily is a knave
(6) Grace is a knight
(7) Lucas is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, Sophia, Riley, Emily, Zoey, Matthew, and Amelia. "Matthew is not a knight," Abigail mentioned. Sophia asserted: "Sophia is a knight and Amelia is a knave". Riley noted, "Emily is a knave or Abigail is a knight". Emily remarked, "Zoey is a knave". Zoey told you that Matthew is a knight and Amelia is a knave. Matthew said that Emily is a knight. "Sophia is a knave or Amelia is a knight," Amelia declared. So who is a knight and who is a knave?

Abigail Sophia Riley Emily Zoey Matthew Amelia

Abigail is a knave, Sophia is a knave, Riley is a knave, Emily is a knight, Zoey is a knave, Matthew is a knight, and Amelia is a knight.

(1) Abigail is a knave
(2) Sophia is a knave
(3) Riley is a knave
(4) Emily is a knight
(5) Zoey is a knave
(6) Matthew is a knight
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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, Sebastian, Avery, Evelyn, Olivia, Benjamin, and Lucas. David said that Lucas is not a knave. As Sebastian put it, "Olivia is not a knight". In a statement by Avery: "Olivia is not a knave". Evelyn remarked, "Sebastian is not a knave". Olivia said, "Evelyn is a knight or Lucas is a knight." In Benjamin's words: "If Sebastian is a knight then David is a knight". As Lucas put it, "If Benjamin is a knave then David is a knave". So who is a knight and who is a knave?

David Sebastian Avery Evelyn Olivia Benjamin Lucas

David is a knight, Sebastian is a knave, Avery is a knight, Evelyn is a knave, Olivia is a knight, Benjamin is a knight, and Lucas is a knight.

(1) David is a knight
(2) Sebastian is a knave
(3) Avery is a knight
(4) Evelyn is a knave
(5) Olivia is a knight
(6) Benjamin is a knight
(7) Lucas is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that Olivia 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: Samuel, Owen, Charlotte, Mia, Aiden, Emma, and Daniel. Samuel told you that Owen is not a knave. In Owen's words: "Mia is a knight if and only if Charlotte is a knight". "Owen is a knave," Charlotte declared. Mia asserted: "Samuel is not a knave". "Owen is a knave and Mia is a knave," Aiden claimed. Emma remarked, "Owen is a knave if and only if Aiden is a knave". According to Daniel, "Mia is a knave if and only if Aiden is a knight". So who is a knight and who is a knave?

Samuel Owen Charlotte Mia Aiden Emma Daniel

Samuel is a knave, Owen is a knave, Charlotte is a knight, Mia is a knave, Aiden is a knight, Emma is a knave, and Daniel is a knight.

(1) Samuel is a knave
(2) Owen is a knave
(3) Charlotte is a knight
(4) Mia is a knave
(5) Aiden is a knight
(6) Emma is a knave
(7) Daniel is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knave if and only if 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: Riley, Sophia, Grace, Zoey, Luke, Penelope, and Evelyn. As Riley put it, "Grace is a knight and Zoey is a knight". "If Luke is a knight then Penelope is a knight," Sophia claimed. "If Zoey is a knave then Riley is a knight," Grace mentioned. According to Zoey, "Evelyn is a knight". As Luke put it, "Zoey is a knave". Penelope said that If Luke is a knave then Riley is a knight. Evelyn commented, "If Zoey is a knight then Grace is a knight". So who is a knight and who is a knave?

Riley Sophia Grace Zoey Luke Penelope Evelyn

Riley is a knight, Sophia is a knight, Grace is a knight, Zoey is a knight, Luke is a knave, Penelope is a knight, and Evelyn is a knight.

(1) Riley is a knight
(2) Sophia is a knight
(3) Grace is a knight
(4) Zoey is a knight
(5) Luke is a knave
(6) Penelope is a knight
(7) Evelyn is a knight

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

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

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

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

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

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

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

Assume Penelope is a knight. No contradiction is found in their claim that If Luke is a knave then 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: David, Riley, Owen, Ava, Matthew, Aria, and Sofia. In David's words: "Ava is a knave if and only if Sofia is a knave". Riley said, "Owen is not a knave." "Aria is a knave," Owen declared. As Ava put it, "Matthew is a knave". Matthew expressed that Riley is a knave or Sofia is a knave. According to Aria, "Owen is a knave". Sofia asserted: "David is a knight or Matthew is a knave". So who is a knight and who is a knave?

David is a knight, Riley is a knight, Owen is a knight, Ava is a knight, Matthew is a knave, Aria is a knave, and Sofia is a knight.

(1) David is a knight
(2) Riley is a knight
(3) Owen is a knight
(4) Ava is a knight
(5) Matthew is a knave
(6) Aria is a knave
(7) Sofia is a knight

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

Assume Ava 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 Ava that Matthew is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, David, Aria, Avery, Aiden, Sofia, and Sophia. Emily was heard saying, "Aria is a knight if and only if David is a knight". David asserted: "Aiden is not a knight". Aria expressed that Aiden is a knave or Avery is a knight. In a statement by Avery: "Aria is a knave or Aiden is a knight". According to Aiden, "Aria is a knave". Sofia asserted: "Sophia is a knight and Avery is a knight". Sophia was heard saying, "Aiden is a knight and Avery is a knave". So who is a knight and who is a knave?

Emily David Aria Avery Aiden Sofia Sophia

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

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

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

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

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

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

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 2), ('telling-truth', 1)), ('not', ('telling-truth', 4)), ('or', ('lying', 4), ('telling-truth', 3)), ('or', ('lying', 2), ('telling-truth', 4)), ('lying', 2), ('and', ('telling-truth', 6), ('telling-truth', 3)), ('and', ('telling-truth', 4), ('lying', 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: Penelope, Sofia, Henry, Owen, Victoria, Aurora, and Noah. Penelope said that Victoria is a knight or Henry is a knight. Sofia said that Henry is a knave. Henry said that Penelope is a knight if and only if Victoria is a knight. In Owen's words: "If Penelope is a knight then Sofia is a knave". Victoria said, "Owen is not a knave." "Henry is not a knave," Aurora declared. Noah remarked, "Sofia is a knight or Henry is a knave". So who is a knight and who is a knave?

Penelope Sofia Henry Owen Victoria Aurora Noah

Penelope is a knight, Sofia is a knave, Henry is a knight, Owen is a knight, Victoria is a knight, Aurora is a knight, and Noah is a knave.

(1) Penelope is a knight
(2) Sofia is a knave
(3) Henry is a knight
(4) Owen is a knight
(5) Victoria is a knight
(6) Aurora is a knight
(7) Noah is a knave

Assume Penelope is a knight. No contradiction is found in their claim that Victoria is a knight or Henry is a knight.

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

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

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

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Sofia is a knight or Henry 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, Amelia, Aurora, Benjamin, Victoria, Sophia, and Ella. Logan stated, "Victoria is a knight and Victoria is a knave". In a statement by Amelia: "Benjamin is a knight". In a statement by Aurora: "If Sophia is a knight then Benjamin is a knight". Benjamin was heard saying, "Ella is a knave or Victoria is a knight". In Victoria's words: "Sophia is a knight or Sophia is a knave". Sophia asserted: "Logan is a knave". Ella said, "Logan is a knight if and only if Victoria is a knave." So who is a knight and who is a knave?

Logan Amelia Aurora Benjamin Victoria Sophia Ella

Logan is a knave, Amelia is a knight, Aurora is a knight, Benjamin is a knight, Victoria is a knight, Sophia is a knight, and Ella is a knight.

(1) Logan is a knave
(2) Amelia is a knight
(3) Aurora is a knight
(4) Benjamin is a knight
(5) Victoria is a knight
(6) Sophia is a knight
(7) Ella is a knight

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that If Sophia is a knight then 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: Charlotte, Olivia, Elizabeth, Evelyn, Sebastian, Emma, and Sofia. Charlotte said, "Elizabeth is a knave and Charlotte is a knight." In a statement by Olivia: "Olivia is a knight or Sebastian is a knave". Elizabeth commented, "If Sofia is a knight then Emma is a knave". As Evelyn put it, "Elizabeth is a knight or Sofia is a knave". Sebastian said that Olivia is not a knave. "Evelyn is a knight," Emma declared. "Charlotte is a knight," Sofia declared. So who is a knight and who is a knave?

Charlotte Olivia Elizabeth Evelyn Sebastian Emma Sofia

Charlotte is a knave, Olivia is a knight, Elizabeth is a knight, Evelyn is a knight, Sebastian is a knight, Emma is a knight, and Sofia is a knave.

(1) Charlotte is a knave
(2) Olivia is a knight
(3) Elizabeth is a knight
(4) Evelyn is a knight
(5) Sebastian is a knight
(6) Emma is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sebastian is a knight. No contradiction is found in their claim that Olivia 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, Evelyn, Sophia, Mia, Samuel, Benjamin, and Henry. Amelia told you that Amelia is a knight and Sophia is a knight. Evelyn remarked, "If Mia is a knight then Samuel is a knight". Sophia stated, "Samuel is a knight and Amelia is a knave". Mia commented, "If Sophia is a knight then Sophia is a knave". Samuel commented, "If Samuel is a knight then Evelyn is a knight". In a statement by Benjamin: "Amelia is a knight or Henry is a knave". Henry commented, "Amelia is a knave". So who is a knight and who is a knave?

Amelia Evelyn Sophia Mia Samuel Benjamin Henry

Amelia is a knave, Evelyn is a knight, Sophia is a knight, Mia is a knave, Samuel is a knight, Benjamin is a knave, and Henry is a knight.

(1) Amelia is a knave
(2) Evelyn is a knight
(3) Sophia is a knight
(4) Mia is a knave
(5) Samuel is a knight
(6) Benjamin is a knave
(7) Henry is a knight

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

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

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

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

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

Assume Sophia is a knight. No contradiction is found in their claim that Samuel is a knight and Amelia is a knave.

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

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

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

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

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

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

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

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

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

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