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, William, Lily, Matthew, Michael, Luke, and Noah. Abigail said that Luke is a knight or Luke is a knave. As William put it, "Matthew is a knave and Lily is a knave". Lily said that Abigail is not a knave. As Matthew put it, "Noah is a knave". Michael expressed that Luke is a knave or William is a knight. Luke asserted: "If William is a knight then Michael is a knave". In Noah's words: "William is a knave". So who is a knight and who is a knave?

Abigail William Lily Matthew Michael Luke Noah

Abigail is a knight, William is a knave, Lily is a knight, Matthew is a knave, Michael is a knave, Luke is a knight, and Noah is a knight.

(1) Abigail is a knight
(2) William is a knave
(3) Lily is a knight
(4) Matthew is a knave
(5) Michael is a knave
(6) Luke is a knight
(7) Noah is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Ella, David, Victoria, Elizabeth, Ethan, and Avery. Aria noted, "Victoria is not a knight". "Elizabeth is a knight and Victoria is a knave," Ella declared. David asserted: "If David is a knight then Aria is a knave". "Ella is a knave or Ethan is a knave," Victoria mentioned. Elizabeth was heard saying, "If Avery is a knave then David is a knight". In Ethan's words: "Victoria is a knave if and only if Ella is a knight". Avery stated, "If David is a knight then Ethan is a knight". So who is a knight and who is a knave?

Aria Ella David Victoria Elizabeth Ethan Avery

Aria is a knave, Ella is a knave, David is a knight, Victoria is a knight, Elizabeth is a knight, Ethan is a knight, and Avery is a knight.

(1) Aria is a knave
(2) Ella is a knave
(3) David is a knight
(4) Victoria is a knight
(5) Elizabeth is a knight
(6) Ethan is a knight
(7) Avery is a knight

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

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

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

Assume Victoria is a knave. No contradiction is found in their false claim that Ella is a knave or Ethan is a knave.

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

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

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

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

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

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

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

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

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

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

Ella cannot be a knave, because this would contradict the false claim of Victoria that Ella is a knave or Ethan is a knave.

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

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

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

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

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

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

Assume Ethan is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Ella 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: Aria, Sofia, Chloe, Isabella, Ethan, Lucas, and Grace. Aria expressed that If Ethan is a knight then Aria is a knight. Sofia said, "Lucas is a knave and Chloe is a knave." Chloe said, "Isabella is not a knight." Isabella expressed that If Chloe is a knave then Sofia is a knave. Ethan expressed that Lucas is a knave if and only if Grace is a knave. Lucas was heard saying, "Ethan is a knight or Aria is a knight". Grace was heard saying, "Lucas is a knave or Isabella is a knave". So who is a knight and who is a knave?

Aria Sofia Chloe Isabella Ethan Lucas Grace

Aria is a knight, Sofia is a knave, Chloe is a knave, Isabella is a knight, Ethan is a knave, Lucas is a knight, and Grace is a knave.

(1) Aria is a knight
(2) Sofia is a knave
(3) Chloe is a knave
(4) Isabella is a knight
(5) Ethan is a knave
(6) Lucas is a knight
(7) Grace is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Lucas is a knave and 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: Oliver, James, Michael, Grace, Isabella, Jackson, and Sofia. "Michael is a knight and Grace is a knight," Oliver claimed. James remarked, "If Oliver is a knave then Grace is a knave". Michael expressed that Sofia is a knave or Isabella is a knave. "If Sofia is a knight then Michael is a knave" - Grace. In a statement by Isabella: "Grace is a knight if and only if Michael is a knave". In Jackson's words: "Oliver is a knight". In a statement by Sofia: "Michael is a knight and James is a knave". So who is a knight and who is a knave?

Oliver James Michael Grace Isabella Jackson Sofia

Oliver is a knight, James is a knight, Michael is a knight, Grace is a knight, Isabella is a knave, Jackson is a knight, and Sofia is a knave.

(1) Oliver is a knight
(2) James is a knight
(3) Michael is a knight
(4) Grace is a knight
(5) Isabella is a knave
(6) Jackson is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Daniel, Ava, Joseph, Luke, Benjamin, and Zoey. Amelia was heard saying, "Joseph is a knight". "Zoey is a knight or Daniel is a knight," Daniel declared. Ava told you that Benjamin is not a knave. Joseph commented, "Luke is a knight if and only if Benjamin is a knave". Luke commented, "Daniel is a knave and Amelia is a knave". "Zoey is a knave or Luke is a knight," Benjamin declared. "Joseph is not a knave," Zoey declared. So who is a knight and who is a knave?

Amelia Daniel Ava Joseph Luke Benjamin Zoey

Amelia is a knave, Daniel is a knave, Ava is a knight, Joseph is a knave, Luke is a knight, Benjamin is a knight, and Zoey is a knave.

(1) Amelia is a knave
(2) Daniel is a knave
(3) Ava is a knight
(4) Joseph is a knave
(5) Luke is a knight
(6) Benjamin is a knight
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that Benjamin 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: Zoey, Lucas, Logan, Benjamin, Luke, William, and Aiden. Zoey asserted: "Aiden is a knave and Logan is a knight". Lucas told you that Lucas is a knight. Logan told you that Zoey is a knight or Lucas is a knave. Benjamin remarked, "Zoey is a knight if and only if Luke is a knight". As Luke put it, "Logan is a knave". William told you that If William is a knight then Luke is a knave. "Luke is not a knight" - Aiden. So who is a knight and who is a knave?

Zoey Lucas Logan Benjamin Luke William Aiden

Zoey is a knave, Lucas is a knave, Logan is a knight, Benjamin is a knight, Luke is a knave, William is a knight, and Aiden is a knight.

(1) Zoey is a knave
(2) Lucas is a knave
(3) Logan is a knight
(4) Benjamin is a knight
(5) Luke is a knave
(6) William is a knight
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Penelope, Mia, Liam, Zoey, Lily, Sebastian, and Benjamin. As Penelope put it, "Liam is a knight". According to Mia, "Zoey is a knave and Sebastian is a knave". Liam told you that Lily is not a knave. In Zoey's words: "Mia is a knave". Lily told you that Mia is a knight and Sebastian is a knave. "Liam is a knave" - Sebastian. Benjamin said that If Benjamin is a knight then Sebastian is a knight. So who is a knight and who is a knave?

Penelope Mia Liam Zoey Lily Sebastian Benjamin

Penelope is a knave, Mia is a knave, Liam is a knave, Zoey is a knight, Lily is a knave, Sebastian is a knight, and Benjamin is a knight.

(1) Penelope is a knave
(2) Mia is a knave
(3) Liam is a knave
(4) Zoey is a knight
(5) Lily is a knave
(6) Sebastian is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Sebastian 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: Chloe, Jack, Aurora, Henry, Sophia, Victoria, and Ethan. Chloe told you that Victoria is a knave or Victoria is a knight. Jack said, "Victoria is a knight and Ethan is a knight." Aurora commented, "Sophia is not a knave". Henry asserted: "Ethan is a knave or Victoria is a knave". Sophia noted, "Victoria is a knight and Victoria is a knave". Victoria said, "If Chloe is a knight then Ethan is a knight." Ethan was heard saying, "If Henry is a knave then Ethan is a knight". So who is a knight and who is a knave?

Chloe Jack Aurora Henry Sophia Victoria Ethan

Chloe is a knight, Jack is a knight, Aurora is a knave, Henry is a knave, Sophia is a knave, Victoria is a knight, and Ethan is a knight.

(1) Chloe is a knight
(2) Jack is a knight
(3) Aurora is a knave
(4) Henry is a knave
(5) Sophia is a knave
(6) Victoria is a knight
(7) Ethan is a knight

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Ethan is a knave or Victoria is a knave.

Assume Jack is a knight. No contradiction is found in their claim that Victoria is a knight and Ethan is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Ava, William, Aiden, Sophia, Emily, and Scarlett. Benjamin stated, "Scarlett is a knight or Sophia is a knave". Ava stated, "If William is a knave then Aiden is a knave". William said, "Scarlett is a knave if and only if Emily is a knight." Aiden expressed that Ava is a knave if and only if Scarlett is a knight. Sophia remarked, "William is not a knave". "Emily is a knight or Sophia is a knave," Emily claimed. As Scarlett put it, "If Sophia is a knave then Sophia is a knight". So who is a knight and who is a knave?

Benjamin Ava William Aiden Sophia Emily Scarlett

Benjamin is a knight, Ava is a knight, William is a knight, Aiden is a knave, Sophia is a knight, Emily is a knave, and Scarlett is a knight.

(1) Benjamin is a knight
(2) Ava is a knight
(3) William is a knight
(4) Aiden is a knave
(5) Sophia is a knight
(6) Emily is a knave
(7) Scarlett is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Isabella, David, Harper, Liam, Daniel, and Amelia. Ava expressed that Daniel is a knave if and only if Ava is a knight. In Isabella's words: "Harper is a knave". As David put it, "Amelia is not a knight". Harper remarked, "Daniel is a knave or Liam is a knight". Liam said that Ava is a knight. Daniel remarked, "Ava is a knight if and only if Amelia is a knave". According to Amelia, "If Harper is a knave then Ava is a knight". So who is a knight and who is a knave?

Ava Isabella David Harper Liam Daniel Amelia

Ava is a knight, Isabella is a knave, David is a knave, Harper is a knight, Liam is a knight, Daniel is a knave, and Amelia is a knight.

(1) Ava is a knight
(2) Isabella is a knave
(3) David is a knave
(4) Harper is a knight
(5) Liam is a knight
(6) Daniel is a knave
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Sofia, Alexander, Chloe, Ava, Zoey, and Joseph. James stated, "Joseph is a knave". Sofia asserted: "Alexander is not a knave". Alexander was heard saying, "If James is a knight then Chloe is a knave". "Zoey is a knave and James is a knight" - Chloe. "Sofia is a knight or Alexander is a knave," Ava declared. Zoey said that If Ava is a knave then Sofia is a knave. Joseph expressed that If Ava is a knave then Sofia is a knight. So who is a knight and who is a knave?

James Sofia Alexander Chloe Ava Zoey Joseph

James is a knave, Sofia is a knight, Alexander is a knight, Chloe is a knave, Ava is a knight, Zoey is a knight, and Joseph is a knight.

(1) James is a knave
(2) Sofia is a knight
(3) Alexander is a knight
(4) Chloe is a knave
(5) Ava is a knight
(6) Zoey is a knight
(7) Joseph is a knight

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

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

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

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

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

Sofia cannot be a knight, because this would contradict the false claim of Ava that Sofia is a knight or Alexander is a knave.

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

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

Alexander cannot be a knave, because this would contradict the false claim of Ava that Sofia is a knight or Alexander is a knave.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Elizabeth, Daniel, Matthew, Abigail, Jack, and Chloe. Samuel expressed that If Elizabeth is a knight then Abigail is a knave. Elizabeth told you that Daniel is not a knight. "Chloe is a knight and Chloe is a knave," Daniel claimed. Matthew said, "Chloe is a knave." As Abigail put it, "If Jack is a knave then Matthew is a knight". Jack expressed that Chloe is a knight. Chloe asserted: "Matthew is a knight if and only if Jack is a knave". So who is a knight and who is a knave?

Samuel Elizabeth Daniel Matthew Abigail Jack Chloe

Samuel is a knave, Elizabeth is a knight, Daniel is a knave, Matthew is a knave, Abigail is a knight, Jack is a knight, and Chloe is a knight.

(1) Samuel is a knave
(2) Elizabeth is a knight
(3) Daniel is a knave
(4) Matthew is a knave
(5) Abigail is a knight
(6) Jack is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Abigail is a knight. No contradiction is found in their claim that If Jack is a knave then Matthew 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: Victoria, Matthew, Avery, Penelope, Liam, Owen, and Ella. Victoria commented, "If Ella is a knight then Penelope is a knave". Matthew noted, "Ella is a knight or Liam is a knight". Avery said that Owen is a knave and Liam is a knave. Penelope remarked, "Liam is a knight or Avery is a knight". Liam expressed that Victoria is a knight and Owen is a knave. Owen said, "Victoria is a knave and Owen is a knight." In a statement by Ella: "Penelope is a knight and Owen is a knight". So who is a knight and who is a knave?

Victoria Matthew Avery Penelope Liam Owen Ella

Victoria is a knight, Matthew is a knight, Avery is a knave, Penelope is a knight, Liam is a knight, Owen is a knave, and Ella is a knave.

(1) Victoria is a knight
(2) Matthew is a knight
(3) Avery is a knave
(4) Penelope is a knight
(5) Liam is a knight
(6) Owen is a knave
(7) Ella is a knave

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

Assume Ella is a knight. No contradiction is found in their claim that Penelope is a knight and Owen is a knight.

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

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

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

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

Assume Penelope is a knight. No contradiction is found in their claim that Liam is a knight or Avery is a knight.

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

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that Owen is a knave and Liam is a knave.

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

(('->', ('telling-truth', 6), ('lying', 3)), ('or', ('telling-truth', 6), ('telling-truth', 4)), ('and', ('lying', 5), ('lying', 4)), ('or', ('telling-truth', 4), ('telling-truth', 2)), ('and', ('telling-truth', 0), ('lying', 5)), ('and', ('lying', 0), ('telling-truth', 5)), ('and', ('telling-truth', 3), ('telling-truth', 5)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Charlotte, Sebastian, Elizabeth, Ella, Riley, and Scarlett. David told you that David is a knight and Elizabeth is a knight. Charlotte said that Scarlett is not a knight. Sebastian noted, "Charlotte is not a knight". Elizabeth remarked, "David is a knave and Riley is a knave". Ella asserted: "If Scarlett is a knight then David is a knight". "David is not a knave," Riley claimed. "If David is a knight then Charlotte is a knave" - Scarlett. So who is a knight and who is a knave?

David Charlotte Sebastian Elizabeth Ella Riley Scarlett

David is a knave, Charlotte is a knave, Sebastian is a knight, Elizabeth is a knight, Ella is a knave, Riley is a knave, and Scarlett is a knight.

(1) David is a knave
(2) Charlotte is a knave
(3) Sebastian is a knight
(4) Elizabeth is a knight
(5) Ella is a knave
(6) Riley is a knave
(7) Scarlett is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lucas, Daniel, Aiden, Owen, Sophia, and Logan. James commented, "Owen is a knight if and only if Sophia is a knight". "Daniel is a knave if and only if Aiden is a knight," Lucas claimed. Daniel noted, "Owen is a knave and James is a knave". As Aiden put it, "If Lucas is a knight then Daniel is a knight". Owen commented, "Lucas is a knight". Sophia said, "Lucas is a knight if and only if James is a knight." Logan told you that Sophia is a knight or Daniel is a knave. So who is a knight and who is a knave?

James Lucas Daniel Aiden Owen Sophia Logan

James is a knave, Lucas is a knave, Daniel is a knight, Aiden is a knight, Owen is a knave, Sophia is a knight, and Logan is a knight.

(1) James is a knave
(2) Lucas is a knave
(3) Daniel is a knight
(4) Aiden is a knight
(5) Owen is a knave
(6) Sophia is a knight
(7) Logan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Olivia, Harper, Jackson, Amelia, Noah, and Mia. "Jackson is a knave" - Luke. Olivia stated, "If Harper is a knave then Jackson is a knave". "Olivia is not a knight," Harper mentioned. Jackson expressed that Harper is a knave if and only if Jackson is a knight. Amelia said that Jackson is a knave and Noah is a knight. According to Noah, "Mia is not a knight". "Olivia is a knight," Mia declared. So who is a knight and who is a knave?

Luke Olivia Harper Jackson Amelia Noah Mia

Luke is a knight, Olivia is a knight, Harper is a knave, Jackson is a knave, Amelia is a knave, Noah is a knave, and Mia is a knight.

(1) Luke is a knight
(2) Olivia is a knight
(3) Harper is a knave
(4) Jackson is a knave
(5) Amelia is a knave
(6) Noah is a knave
(7) Mia is a knight

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

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

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

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

Assume Harper 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 If Harper is a knave then Jackson is a knave.

Assume Amelia is a knight. No contradiction is found in their claim that Jackson is a knave and Noah is a knight.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Aiden, Sebastian, Isabella, Chloe, Luke, and Mia. Evelyn noted, "If Luke is a knight then Luke is a knave". Aiden commented, "Aiden is a knight if and only if Mia is a knave". Sebastian was heard saying, "Chloe is a knight or Chloe is a knave". Isabella stated, "Evelyn is a knight if and only if Mia is a knave". Chloe asserted: "Aiden is a knave or Mia is a knight". Luke told you that Aiden is a knave. According to Mia, "If Sebastian is a knight then Aiden is a knave". So who is a knight and who is a knave?

Evelyn Aiden Sebastian Isabella Chloe Luke Mia

Evelyn is a knight, Aiden is a knight, Sebastian is a knight, Isabella is a knight, Chloe is a knave, Luke is a knave, and Mia is a knave.

(1) Evelyn is a knight
(2) Aiden is a knight
(3) Sebastian is a knight
(4) Isabella is a knight
(5) Chloe is a knave
(6) Luke is a knave
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if 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: Jack, Olivia, Aiden, Logan, Noah, Emma, and Jackson. Jack said that Emma is a knight and Olivia is a knight. Olivia noted, "Logan is a knave if and only if Noah is a knight". Aiden expressed that Logan is a knight. Logan remarked, "Olivia is a knight if and only if Jack is a knight". According to Noah, "Jackson is not a knight". Emma told you that Noah is a knave if and only if Olivia is a knave. "Olivia is not a knave," Jackson declared. So who is a knight and who is a knave?

Jack Olivia Aiden Logan Noah Emma Jackson

Jack is a knave, Olivia is a knave, Aiden is a knight, Logan is a knight, Noah is a knight, Emma is a knave, and Jackson is a knave.

(1) Jack is a knave
(2) Olivia is a knave
(3) Aiden is a knight
(4) Logan is a knight
(5) Noah is a knight
(6) Emma is a knave
(7) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aiden is a knight. No contradiction is found in their claim that Logan 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: Emma, Daniel, Evelyn, Matthew, Ella, Noah, and Owen. "Matthew is a knight," Emma mentioned. "Evelyn is a knave if and only if Daniel is a knight," Daniel declared. Evelyn was heard saying, "Daniel is a knight or Emma is a knave". Matthew said that If Evelyn is a knave then Noah is a knave. Ella told you that Emma is a knight if and only if Noah is a knight. As Noah put it, "Evelyn is a knight". Owen told you that Emma is a knave or Ella is a knave. So who is a knight and who is a knave?

Emma Daniel Evelyn Matthew Ella Noah Owen

Emma is a knight, Daniel is a knave, Evelyn is a knave, Matthew is a knight, Ella is a knave, Noah is a knave, and Owen is a knight.

(1) Emma is a knight
(2) Daniel is a knave
(3) Evelyn is a knave
(4) Matthew is a knight
(5) Ella is a knave
(6) Noah is a knave
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Owen is a knight. No contradiction is found in their claim that Emma is a knave or 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: Scarlett, Emma, Riley, Samuel, Emily, Evelyn, and Matthew. In a statement by Scarlett: "Evelyn is not a knave". Emma noted, "Evelyn is a knight". In Riley's words: "Matthew is a knave and Scarlett is a knight". "Riley is a knight or Samuel is a knight," Samuel mentioned. Emily stated, "Riley is a knight if and only if Samuel is a knight". Evelyn said that If Scarlett is a knave then Riley is a knave. Matthew was heard saying, "Riley is a knight or Emily is a knave". So who is a knight and who is a knave?

Scarlett Emma Riley Samuel Emily Evelyn Matthew

Scarlett is a knight, Emma is a knight, Riley is a knave, Samuel is a knight, Emily is a knave, Evelyn is a knight, and Matthew is a knight.

(1) Scarlett is a knight
(2) Emma is a knight
(3) Riley is a knave
(4) Samuel is a knight
(5) Emily is a knave
(6) Evelyn is a knight
(7) Matthew is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Ava, Lucas, Ethan, Aria, Benjamin, and Chloe. Mason remarked, "Lucas is a knave or Benjamin is a knight". Ava said, "Benjamin is not a knave." In Lucas's words: "Aria is not a knave". Ethan noted, "Benjamin is not a knave". Aria remarked, "Chloe is a knave if and only if Benjamin is a knight". In Benjamin's words: "Mason is a knight and Ava is a knave". Chloe asserted: "If Ethan is a knave then Benjamin is a knave". So who is a knight and who is a knave?

Mason Ava Lucas Ethan Aria Benjamin Chloe

Mason is a knave, Ava is a knave, Lucas is a knight, Ethan is a knave, Aria is a knight, Benjamin is a knave, and Chloe is a knight.

(1) Mason is a knave
(2) Ava is a knave
(3) Lucas is a knight
(4) Ethan is a knave
(5) Aria is a knight
(6) Benjamin is a knave
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that If Ethan is a knave then Benjamin is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

Benjamin cannot be a knave, because this would contradict the false claim of Chloe that If Ethan is a knave then Benjamin is a knave.

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that Benjamin 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: Ava, Lucas, Jack, Lily, Aiden, Jacob, and Matthew. "Jacob is a knight or Aiden is a knight," Ava claimed. Lucas remarked, "Ava is not a knave". Jack commented, "Jacob is a knight and Jacob is a knave". Lily was heard saying, "Jacob is a knave if and only if Ava is a knave". "Lily is a knave if and only if Ava is a knave," Aiden declared. Jacob was heard saying, "If Aiden is a knight then Lily is a knight". In a statement by Matthew: "If Matthew is a knight then Lucas is a knight". So who is a knight and who is a knave?

Ava is a knight, Lucas is a knight, Jack is a knave, Lily is a knight, Aiden is a knight, Jacob is a knight, and Matthew is a knight.

(1) Ava is a knight
(2) Lucas is a knight
(3) Jack is a knave
(4) Lily is a knight
(5) Aiden is a knight
(6) Jacob is a knight
(7) Matthew is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Abigail, James, Samuel, Luke, Joseph, Aiden, and Logan. "Luke is a knave and Logan is a knave," Abigail claimed. In a statement by James: "If Samuel is a knight then Abigail is a knave". Samuel said, "If Aiden is a knave then Luke is a knave." "Joseph is a knave and Joseph is a knight," Luke mentioned. Joseph said, "Aiden is a knight if and only if Samuel is a knight." Aiden asserted: "If Abigail is a knight then Samuel is a knight". Logan said that Samuel is a knight or Samuel is a knave. So who is a knight and who is a knave?

Abigail James Samuel Luke Joseph Aiden Logan

Abigail is a knave, James is a knight, Samuel is a knight, Luke is a knave, Joseph is a knight, Aiden is a knight, and Logan is a knight.

(1) Abigail is a knave
(2) James is a knight
(3) Samuel is a knight
(4) Luke is a knave
(5) Joseph is a knight
(6) Aiden is a knight
(7) Logan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Samuel cannot be a knight, because this would contradict the false claim of Aiden that If Abigail is a knight then Samuel is a knight.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Benjamin, Abigail, Oliver, Amelia, Logan, and Evelyn. As Ethan put it, "If Benjamin is a knave then Logan is a knight". Benjamin told you that Oliver is a knave if and only if Ethan is a knight. In Abigail's words: "Amelia is a knave or Oliver is a knave". According to Oliver, "Evelyn is a knave or Ethan is a knight". Amelia said that Logan is not a knight. As Logan put it, "Benjamin is not a knave". "Logan is not a knight," Evelyn mentioned. So who is a knight and who is a knave?

Ethan Benjamin Abigail Oliver Amelia Logan Evelyn

Ethan is a knave, Benjamin is a knave, Abigail is a knight, Oliver is a knave, Amelia is a knight, Logan is a knave, and Evelyn is a knight.

(1) Ethan is a knave
(2) Benjamin is a knave
(3) Abigail is a knight
(4) Oliver is a knave
(5) Amelia is a knight
(6) Logan is a knave
(7) Evelyn is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that Logan 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: Grace, Charlotte, William, Henry, James, Liam, and Owen. "Charlotte is a knight if and only if James is a knave," Grace claimed. In a statement by Charlotte: "Henry is a knight or James is a knave". William noted, "If Grace is a knight then James is a knight". "James is a knight," Henry claimed. James said that If Henry is a knight then Owen is a knave. "James is a knave" - Liam. Owen was heard saying, "Liam is a knight if and only if William is a knight". So who is a knight and who is a knave?

Grace Charlotte William Henry James Liam Owen

Grace is a knave, Charlotte is a knight, William is a knight, Henry is a knight, James is a knight, Liam is a knave, and Owen is a knave.

(1) Grace is a knave
(2) Charlotte is a knight
(3) William is a knight
(4) Henry is a knight
(5) James is a knight
(6) Liam is a knave
(7) Owen is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Logan, Emma, Scarlett, Michael, Henry, and Sebastian. Daniel remarked, "Emma is a knave". Logan remarked, "If Daniel is a knight then Scarlett is a knave". Emma noted, "Sebastian is a knight and Daniel is a knight". "Emma is a knight or Sebastian is a knight," Scarlett mentioned. "Henry is a knight," Michael mentioned. Henry remarked, "If Emma is a knave then Scarlett is a knight". "Scarlett is not a knave," Sebastian mentioned. So who is a knight and who is a knave?

Daniel Logan Emma Scarlett Michael Henry Sebastian

Daniel is a knight, Logan is a knight, Emma is a knave, Scarlett is a knave, Michael is a knave, Henry is a knave, and Sebastian is a knave.

(1) Daniel is a knight
(2) Logan is a knight
(3) Emma is a knave
(4) Scarlett is a knave
(5) Michael is a knave
(6) Henry is a knave
(7) Sebastian is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Michael 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 Michael that Henry is a knight.

Assume Henry is a knave. No contradiction is found in their false claim that If Emma is a knave then Scarlett 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: Jack, Owen, Lucas, Jacob, Aria, Noah, and Scarlett. Jack told you that Lucas is a knight. "Jack is not a knave," Owen mentioned. According to Lucas, "If Owen is a knight then Aria is a knave". According to Jacob, "Noah is a knight if and only if Aria is a knight". In Aria's words: "If Jacob is a knave then Scarlett is a knight". According to Noah, "Owen is not a knave". As Scarlett put it, "Owen is a knave or Noah is a knave". So who is a knight and who is a knave?

Jack Owen Lucas Jacob Aria Noah Scarlett

Jack is a knight, Owen is a knight, Lucas is a knight, Jacob is a knave, Aria is a knave, Noah is a knight, and Scarlett is a knave.

(1) Jack is a knight
(2) Owen is a knight
(3) Lucas is a knight
(4) Jacob is a knave
(5) Aria is a knave
(6) Noah is a knight
(7) Scarlett is a knave

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

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

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

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

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

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

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

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

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

Assume Scarlett is a knave. No contradiction is found in their false claim that Owen is a knave or Noah is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Owen, Henry, Chloe, Oliver, Emma, and Sofia. Joseph said that If Owen is a knave then Sofia is a knight. Owen told you that If Joseph is a knight then Owen is a knight. Henry was heard saying, "Emma is a knight". Chloe said that Henry is not a knight. In a statement by Oliver: "Joseph is a knave or Joseph is a knight". "Oliver is not a knave," Emma declared. Sofia asserted: "Joseph is a knight if and only if Emma is a knave". So who is a knight and who is a knave?

Joseph Owen Henry Chloe Oliver Emma Sofia

Joseph is a knight, Owen is a knight, Henry is a knight, Chloe is a knave, Oliver is a knight, Emma is a knight, and Sofia is a knave.

(1) Joseph is a knight
(2) Owen is a knight
(3) Henry is a knight
(4) Chloe is a knave
(5) Oliver is a knight
(6) Emma is a knight
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knave. No contradiction is found in their false claim that Henry 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: Lucas, Victoria, Olivia, Amelia, Mason, Aurora, and Benjamin. In Lucas's words: "If Benjamin is a knight then Olivia is a knave". Victoria told you that Aurora is a knight and Mason is a knight. Olivia was heard saying, "Lucas is a knight". "Olivia is a knave or Mason is a knave," Amelia mentioned. Mason noted, "Olivia is a knave if and only if Amelia is a knight". Aurora commented, "Amelia is a knight". As Benjamin put it, "Mason is a knight". So who is a knight and who is a knave?

Lucas Victoria Olivia Amelia Mason Aurora Benjamin

Lucas is a knight, Victoria is a knave, Olivia is a knight, Amelia is a knight, Mason is a knave, Aurora is a knight, and Benjamin is a knave.

(1) Lucas is a knight
(2) Victoria is a knave
(3) Olivia is a knight
(4) Amelia is a knight
(5) Mason is a knave
(6) Aurora is a knight
(7) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aurora is a knight. No contradiction is found in their claim that Amelia 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: Aria, Mia, Oliver, Jackson, Owen, Scarlett, and Abigail. Aria remarked, "Jackson is not a knight". In a statement by Mia: "If Aria is a knight then Owen is a knight". Oliver expressed that Abigail is a knave if and only if Aria is a knight. As Jackson put it, "Abigail is not a knave". In Owen's words: "Abigail is a knight". "Owen is a knight or Aria is a knight," Scarlett mentioned. In Abigail's words: "Aria is a knave if and only if Aria is a knight". So who is a knight and who is a knave?

Aria Mia Oliver Jackson Owen Scarlett Abigail

Aria is a knight, Mia is a knave, Oliver is a knight, Jackson is a knave, Owen is a knave, Scarlett is a knight, and Abigail is a knave.

(1) Aria is a knight
(2) Mia is a knave
(3) Oliver is a knight
(4) Jackson is a knave
(5) Owen is a knave
(6) Scarlett is a knight
(7) Abigail is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Owen, Emma, Sebastian, Victoria, Jacob, and Sophia. Aurora said, "Owen is a knight." "Victoria is not a knave" - Owen. "If Owen is a knight then Jacob is a knave," Emma mentioned. Sebastian told you that If Aurora is a knight then Victoria is a knave. Victoria noted, "Sophia is a knight". According to Jacob, "Emma is a knight or Victoria is a knight". "Owen is a knave if and only if Sebastian is a knight" - Sophia. So who is a knight and who is a knave?

Aurora Owen Emma Sebastian Victoria Jacob Sophia

Aurora is a knight, Owen is a knight, Emma is a knave, Sebastian is a knave, Victoria is a knight, Jacob is a knight, and Sophia is a knight.

(1) Aurora is a knight
(2) Owen is a knight
(3) Emma is a knave
(4) Sebastian is a knave
(5) Victoria is a knight
(6) Jacob is a knight
(7) Sophia is a knight

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Ava, Aiden, James, Olivia, Noah, and Zoey. Jacob expressed that Jacob is a knight or James is a knight. "Zoey is not a knight" - Ava. Aiden was heard saying, "Ava is a knave". As James put it, "Ava is a knave or Zoey is a knight". In Olivia's words: "Aiden is a knight". Noah commented, "Olivia is a knave". Zoey told you that If Aiden is a knave then Ava is a knight. So who is a knight and who is a knave?

Jacob is a knight, Ava is a knave, Aiden is a knight, James is a knight, Olivia is a knight, Noah is a knave, and Zoey is a knight.

(1) Jacob is a knight
(2) Ava is a knave
(3) Aiden is a knight
(4) James is a knight
(5) Olivia is a knight
(6) Noah is a knave
(7) Zoey is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Grace, Scarlett, Daniel, Ethan, Alexander, and Sebastian. "Sebastian is a knight if and only if Victoria is a knight," Victoria mentioned. Grace noted, "Alexander is a knight". According to Scarlett, "If Scarlett is a knight then Ethan is a knave". According to Daniel, "Ethan is a knave if and only if Alexander is a knave". "Victoria is a knave and Victoria is a knight," Ethan mentioned. Alexander remarked, "Victoria is a knave and Grace is a knave". "Sebastian is a knight or Alexander is a knave," Sebastian mentioned. So who is a knight and who is a knave?

Victoria Grace Scarlett Daniel Ethan Alexander Sebastian

Victoria is a knight, Grace is a knave, Scarlett is a knight, Daniel is a knight, Ethan is a knave, Alexander is a knave, and Sebastian is a knight.

(1) Victoria is a knight
(2) Grace is a knave
(3) Scarlett is a knight
(4) Daniel is a knight
(5) Ethan is a knave
(6) Alexander is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Jackson, Jacob, Avery, Emma, Grace, and Joseph. Mason told you that If Avery is a knave then Jacob is a knave. "Avery is a knight or Jacob is a knave," Jackson claimed. "Grace is not a knave," Jacob declared. Avery noted, "Grace is a knight if and only if Mason is a knight". Emma stated, "Jacob is not a knave". In a statement by Grace: "If Jacob is a knight then Mason is a knave". Joseph said, "Avery is a knight." So who is a knight and who is a knave?

Mason Jackson Jacob Avery Emma Grace Joseph

Mason is a knave, Jackson is a knave, Jacob is a knight, Avery is a knave, Emma is a knight, Grace is a knight, and Joseph is a knave.

(1) Mason is a knave
(2) Jackson is a knave
(3) Jacob is a knight
(4) Avery is a knave
(5) Emma is a knight
(6) Grace is a knight
(7) Joseph is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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