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, Abigail, Aria, Amelia, William, Joseph, and Olivia. Ethan remarked, "Abigail is a knave or Amelia is a knight". As Abigail put it, "Abigail is a knight if and only if Joseph is a knave". Aria commented, "Abigail is a knave and Ethan is a knight". Amelia asserted: "Abigail is a knave if and only if Amelia is a knight". According to William, "If Amelia is a knight then Aria is a knight". According to Joseph, "Amelia is not a knight". According to Olivia, "If Amelia is a knave then Ethan is a knight". So who is a knight and who is a knave?

Ethan Abigail Aria Amelia William Joseph Olivia

Ethan is a knight, Abigail is a knave, Aria is a knight, Amelia is a knight, William is a knight, Joseph is a knave, and Olivia is a knight.

(1) Ethan is a knight
(2) Abigail is a knave
(3) Aria is a knight
(4) Amelia is a knight
(5) William is a knight
(6) Joseph is a knave
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Sebastian, Zoey, Oliver, Matthew, Noah, and Ava. "Zoey is a knave and Oliver is a knight" - Aurora. As Sebastian put it, "If Noah is a knave then Oliver is a knave". Zoey said that Aurora is a knave if and only if Zoey is a knight. Oliver said that Noah is a knight or Sebastian is a knave. Matthew stated, "If Noah is a knight then Ava is a knave". In a statement by Noah: "If Aurora is a knave then Zoey is a knight". Ava was heard saying, "Matthew is a knight". So who is a knight and who is a knave?

Aurora Sebastian Zoey Oliver Matthew Noah Ava

Aurora is a knave, Sebastian is a knight, Zoey is a knave, Oliver is a knave, Matthew is a knight, Noah is a knave, and Ava is a knight.

(1) Aurora is a knave
(2) Sebastian is a knight
(3) Zoey is a knave
(4) Oliver is a knave
(5) Matthew is a knight
(6) Noah is a knave
(7) Ava is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Oliver cannot be a knight, because this would contradict the false claim of Aurora that Zoey is a knave and Oliver is a knight.

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

Assume Ava is a knight. No contradiction is found in their claim that 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: Aria, Mason, Grace, Penelope, Lucas, Aiden, and Emma. Aria stated, "Emma is a knight". In a statement by Mason: "Emma is a knave or Penelope is a knight". Grace expressed that Aria is a knight or Mason is a knave. "Emma is a knight and Aiden is a knight," Penelope claimed. Lucas commented, "Aiden is a knave if and only if Mason is a knave". According to Aiden, "Penelope is a knight or Aria is a knave". Emma said that Penelope is a knave and Penelope is a knight. So who is a knight and who is a knave?

Aria Mason Grace Penelope Lucas Aiden Emma

Aria is a knave, Mason is a knight, Grace is a knave, Penelope is a knave, Lucas is a knight, Aiden is a knight, and Emma is a knave.

(1) Aria is a knave
(2) Mason is a knight
(3) Grace is a knave
(4) Penelope is a knave
(5) Lucas is a knight
(6) Aiden is a knight
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Lucas is a knight. No contradiction is found in their claim that Aiden is a knave if and only if Mason 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: Jackson, Evelyn, Aurora, Sebastian, Riley, Noah, and Aria. Jackson told you that Aria is a knight if and only if Aurora is a knave. "If Jackson is a knight then Noah is a knight," Evelyn mentioned. As Aurora put it, "Sebastian is a knight or Aria is a knave". Sebastian expressed that Aurora is a knave or Noah is a knave. Riley was heard saying, "Noah is not a knave". "Evelyn is not a knight," Noah claimed. "Aurora is a knight or Aria is a knight" - Aria. So who is a knight and who is a knave?

Jackson Evelyn Aurora Sebastian Riley Noah Aria

Jackson is a knave, Evelyn is a knight, Aurora is a knight, Sebastian is a knight, Riley is a knave, Noah is a knave, and Aria is a knight.

(1) Jackson is a knave
(2) Evelyn is a knight
(3) Aurora is a knight
(4) Sebastian is a knight
(5) Riley is a knave
(6) Noah is a knave
(7) Aria is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Noah 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: Scarlett, Aurora, James, Logan, Benjamin, Jackson, and Noah. Scarlett asserted: "If Noah is a knight then Logan is a knave". Aurora expressed that Scarlett is a knave. James expressed that Logan is a knight. Logan commented, "Noah is a knave if and only if Benjamin is a knight". Benjamin stated, "Logan is not a knight". Jackson asserted: "Logan is not a knight". Noah asserted: "Noah is a knight if and only if Benjamin is a knight". So who is a knight and who is a knave?

Scarlett Aurora James Logan Benjamin Jackson Noah

Scarlett is a knight, Aurora is a knave, James is a knave, Logan is a knave, Benjamin is a knight, Jackson is a knight, and Noah is a knight.

(1) Scarlett is a knight
(2) Aurora is a knave
(3) James is a knave
(4) Logan is a knave
(5) Benjamin is a knight
(6) Jackson is a knight
(7) Noah is a knight

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

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

Assume Benjamin 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 Scarlett that If Noah is a knight then Logan is a knave.

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

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

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

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

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

Assume Jackson 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: Sophia, Olivia, Amelia, Owen, Michael, William, and Lucas. Sophia remarked, "Owen is not a knave". Olivia told you that William is a knave or Sophia is a knight. Amelia said that Owen is a knight and Sophia is a knight. "Olivia is a knight or Lucas is a knave," Owen declared. Michael remarked, "Amelia is a knave or Lucas is a knight". "Olivia is a knave and Owen is a knight," William claimed. "Amelia is not a knave," Lucas mentioned. So who is a knight and who is a knave?

Sophia Olivia Amelia Owen Michael William Lucas

Sophia is a knight, Olivia is a knight, Amelia is a knight, Owen is a knight, Michael is a knight, William is a knave, and Lucas is a knight.

(1) Sophia is a knight
(2) Olivia is a knight
(3) Amelia is a knight
(4) Owen is a knight
(5) Michael is a knight
(6) William is a knave
(7) Lucas is a knight

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

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

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

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

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

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

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

Assume Michael is a knight. No contradiction is found in their claim that Amelia is a knave or 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: Emily, Matthew, Sophia, Ella, Samuel, Harper, and Victoria. Emily told you that Sophia is a knight or Ella is a knight. Matthew noted, "Harper is not a knight". Sophia was heard saying, "Matthew is a knave". Ella noted, "Matthew is a knight". "Emily is a knight," Samuel mentioned. "Emily is not a knave," Harper declared. Victoria expressed that Matthew is a knight or Harper is a knight. So who is a knight and who is a knave?

Emily Matthew Sophia Ella Samuel Harper Victoria

Emily is a knight, Matthew is a knave, Sophia is a knight, Ella is a knave, Samuel is a knight, Harper is a knight, and Victoria is a knight.

(1) Emily is a knight
(2) Matthew is a knave
(3) Sophia is a knight
(4) Ella is a knave
(5) Samuel is a knight
(6) Harper is a knight
(7) Victoria is a knight

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

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 2), ('telling-truth', 3)), ('not', ('telling-truth', 5)), ('lying', 1), ('telling-truth', 1), ('telling-truth', 0), ('not', ('lying', 0)), ('or', ('telling-truth', 1), ('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: Emma, Evelyn, Victoria, Sofia, Michael, Jacob, and Aria. Emma noted, "Aria is a knight or Sofia is a knight". "Emma is a knave and Emma is a knight," Evelyn declared. "Jacob is a knight and Sofia is a knight," Victoria claimed. "Aria is a knave or Victoria is a knight," Sofia declared. Michael remarked, "Victoria is a knave or Sofia is a knight". Jacob expressed that Aria is a knave and Michael is a knave. According to Aria, "Evelyn is not a knave". So who is a knight and who is a knave?

Emma Evelyn Victoria Sofia Michael Jacob Aria

Emma is a knight, Evelyn is a knave, Victoria is a knave, Sofia is a knight, Michael is a knight, Jacob is a knave, and Aria is a knave.

(1) Emma is a knight
(2) Evelyn is a knave
(3) Victoria is a knave
(4) Sofia is a knight
(5) Michael is a knight
(6) Jacob is a knave
(7) Aria is a knave

Assume Emma is a knight. No contradiction is found in their claim that Aria is a knight or Sofia is a knight.

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

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

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

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

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

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

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

Assume Victoria is a knight. No contradiction is found in their claim that Jacob is a knight and Sofia is a knight.

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that Aria is a knave and Michael is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Ava, Aiden, Isabella, Scarlett, Sebastian, and Harper. In Avery's words: "Harper is not a knave". Ava commented, "Isabella is a knave and Harper is a knave". In a statement by Aiden: "Harper is a knave and Avery is a knight". In a statement by Isabella: "Harper is not a knave". Scarlett said that Avery is not a knave. According to Sebastian, "Aiden is a knight". In a statement by Harper: "Isabella is a knave or Scarlett is a knight". So who is a knight and who is a knave?

Avery Ava Aiden Isabella Scarlett Sebastian Harper

Avery is a knight, Ava is a knave, Aiden is a knave, Isabella is a knight, Scarlett is a knight, Sebastian is a knave, and Harper is a knight.

(1) Avery is a knight
(2) Ava is a knave
(3) Aiden is a knave
(4) Isabella is a knight
(5) Scarlett is a knight
(6) Sebastian is a knave
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, William, Sebastian, Ella, Aiden, Amelia, and Logan. Evelyn said, "Sebastian is not a knight." "Ella is not a knave," William declared. "If Evelyn is a knight then Evelyn is a knave," Sebastian declared. Ella remarked, "Logan is a knight". Aiden commented, "Ella is a knight and Logan is a knight". According to Amelia, "Sebastian is a knave". Logan told you that If Aiden is a knight then Evelyn is a knight. So who is a knight and who is a knave?

Evelyn William Sebastian Ella Aiden Amelia Logan

Evelyn is a knight, William is a knight, Sebastian is a knave, Ella is a knight, Aiden is a knight, Amelia is a knight, and Logan is a knight.

(1) Evelyn is a knight
(2) William is a knight
(3) Sebastian is a knave
(4) Ella is a knight
(5) Aiden is a knight
(6) Amelia is a knight
(7) Logan is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Avery, Benjamin, Samuel, Aiden, Penelope, and Isabella. Zoey commented, "Avery is a knight and Avery is a knave". Avery told you that Benjamin is not a knave. "Zoey is a knave or Penelope is a knight," Benjamin declared. Samuel said, "Benjamin is a knave or Aiden is a knave." Aiden said, "If Isabella is a knight then Avery is a knight." Penelope expressed that If Aiden is a knave then Benjamin is a knave. According to Isabella, "Samuel is a knight and Isabella is a knight". So who is a knight and who is a knave?

Zoey Avery Benjamin Samuel Aiden Penelope Isabella

Zoey is a knave, Avery is a knight, Benjamin is a knight, Samuel is a knave, Aiden is a knight, Penelope is a knight, and Isabella is a knave.

(1) Zoey is a knave
(2) Avery is a knight
(3) Benjamin is a knight
(4) Samuel is a knave
(5) Aiden is a knight
(6) Penelope is a knight
(7) Isabella is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Samuel is a knave. No contradiction is found in their false claim that Benjamin is a knave or Aiden is a knave.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Evelyn, Matthew, William, Chloe, Alexander, James, and Sofia. "Alexander is not a knight" - Evelyn. In Matthew's words: "If Sofia is a knight then William is a knave". William told you that Matthew is a knave or Matthew is a knight. "Sofia is a knight and James is a knight," Chloe mentioned. Alexander told you that Chloe is a knave or Matthew is a knight. "Alexander is a knight and Alexander is a knave," James claimed. Sofia said that James is a knave if and only if James is a knight. So who is a knight and who is a knave?

Evelyn Matthew William Chloe Alexander James Sofia

Evelyn is a knave, Matthew is a knight, William is a knight, Chloe is a knave, Alexander is a knight, James is a knave, and Sofia is a knave.

(1) Evelyn is a knave
(2) Matthew is a knight
(3) William is a knight
(4) Chloe is a knave
(5) Alexander is a knight
(6) James is a knave
(7) Sofia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume William is a knight. No contradiction is found in their claim that Matthew is a knave or 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: Jackson, Owen, Samuel, Ethan, Scarlett, Logan, and William. In Jackson's words: "Logan is a knight or Samuel is a knave". Owen remarked, "Scarlett is a knight". "Ethan is a knight" - Samuel. In a statement by Ethan: "Logan is a knave and Logan is a knight". Scarlett expressed that If Jackson is a knave then Samuel is a knight. In a statement by Logan: "If Ethan is a knight then Owen is a knight". William remarked, "Jackson is a knave". So who is a knight and who is a knave?

Jackson Owen Samuel Ethan Scarlett Logan William

Jackson is a knight, Owen is a knight, Samuel is a knave, Ethan is a knave, Scarlett is a knight, Logan is a knight, and William is a knave.

(1) Jackson is a knight
(2) Owen is a knight
(3) Samuel is a knave
(4) Ethan is a knave
(5) Scarlett is a knight
(6) Logan is a knight
(7) William is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Aurora, Michael, Elizabeth, Alexander, Olivia, and Ella. Sebastian expressed that Alexander is a knave and Ella is a knight. According to Aurora, "Elizabeth is a knight". Michael expressed that Sebastian is a knight. According to Elizabeth, "Aurora is a knave and Michael is a knight". According to Alexander, "Olivia is a knave". In a statement by Olivia: "Sebastian is not a knave". Ella commented, "Olivia is a knight if and only if Sebastian is a knave". So who is a knight and who is a knave?

Sebastian Aurora Michael Elizabeth Alexander Olivia Ella

Sebastian is a knave, Aurora is a knave, Michael is a knave, Elizabeth is a knave, Alexander is a knight, Olivia is a knave, and Ella is a knave.

(1) Sebastian is a knave
(2) Aurora is a knave
(3) Michael is a knave
(4) Elizabeth is a knave
(5) Alexander is a knight
(6) Olivia is a knave
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Michael is a knave. No contradiction is found in their false claim that 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: Aiden, Olivia, Sofia, James, William, Jack, and Aurora. As Aiden put it, "Jack is a knave". Olivia remarked, "Aiden is a knave and Jack is a knave". Sofia said that William is a knight if and only if James is a knave. According to James, "William is a knave if and only if Jack is a knave". As William put it, "James is a knight". Jack was heard saying, "William is not a knave". Aurora commented, "James is a knight if and only if Olivia is a knave". So who is a knight and who is a knave?

Aiden Olivia Sofia James William Jack Aurora

Aiden is a knave, Olivia is a knave, Sofia is a knave, James is a knight, William is a knight, Jack is a knight, and Aurora is a knight.

(1) Aiden is a knave
(2) Olivia is a knave
(3) Sofia is a knave
(4) James is a knight
(5) William is a knight
(6) Jack is a knight
(7) Aurora is a knight

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

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

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

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

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

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

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

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

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

Assume Jack 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 James is a knight.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Emily, Michael, Elizabeth, Luke, Zoey, and Charlotte. "Michael is a knave or Emily is a knave," Ella claimed. "Ella is a knave or Elizabeth is a knave," Emily mentioned. As Michael put it, "Emily is a knight if and only if Luke is a knight". Elizabeth remarked, "Michael is a knave". Luke said that Michael is not a knight. As Zoey put it, "If Ella is a knave then Emily is a knave". Charlotte was heard saying, "Luke is not a knave". So who is a knight and who is a knave?

Ella Emily Michael Elizabeth Luke Zoey Charlotte

Ella is a knight, Emily is a knave, Michael is a knave, Elizabeth is a knight, Luke is a knight, Zoey is a knight, and Charlotte is a knight.

(1) Ella is a knight
(2) Emily is a knave
(3) Michael is a knave
(4) Elizabeth is a knight
(5) Luke is a knight
(6) Zoey is a knight
(7) Charlotte is a knight

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

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

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

Assume Emily is a knave. No contradiction is found in their false claim that Ella is a knave or Elizabeth is a knave.

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Aiden, Alexander, Scarlett, Charlotte, James, and Henry. Sophia noted, "Sophia is a knight and Charlotte is a knave". In a statement by Aiden: "Sophia is a knave or Henry is a knave". "Charlotte is a knight and Sophia is a knight," Alexander mentioned. As Scarlett put it, "If Henry is a knave then Scarlett is a knight". Charlotte told you that Scarlett is not a knight. James stated, "If Scarlett is a knave then Sophia is a knight". Henry was heard saying, "Aiden is a knight if and only if Alexander is a knave". So who is a knight and who is a knave?

Sophia Aiden Alexander Scarlett Charlotte James Henry

Sophia is a knave, Aiden is a knight, Alexander is a knave, Scarlett is a knight, Charlotte is a knave, James is a knight, and Henry is a knight.

(1) Sophia is a knave
(2) Aiden is a knight
(3) Alexander is a knave
(4) Scarlett is a knight
(5) Charlotte is a knave
(6) James is a knight
(7) Henry is a knight

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

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

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 Henry is a knave then Scarlett is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that If Scarlett is a knave then Sophia 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: Ella, Sofia, Emma, Olivia, Chloe, William, and Joseph. In Ella's words: "Joseph is a knight and Olivia is a knave". Sofia expressed that Chloe is a knave and Emma is a knave. Emma asserted: "If Olivia is a knave then Sofia is a knave". As Olivia put it, "Chloe is a knight if and only if William is a knight". "Emma is a knave and Emma is a knight," Chloe mentioned. "Chloe is not a knave," William mentioned. As Joseph put it, "Sofia is a knave". So who is a knight and who is a knave?

Ella Sofia Emma Olivia Chloe William Joseph

Ella is a knave, Sofia is a knave, Emma is a knight, Olivia is a knight, Chloe is a knave, William is a knave, and Joseph is a knight.

(1) Ella is a knave
(2) Sofia is a knave
(3) Emma is a knight
(4) Olivia is a knight
(5) Chloe is a knave
(6) William is a knave
(7) Joseph is a knight

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

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Chloe is a knave and Emma is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Chloe 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: Ethan, Logan, Noah, Elizabeth, Abigail, Lucas, and Sophia. Ethan noted, "Sophia is a knave". Logan said, "Abigail is a knight." Noah said that Ethan is a knave and Noah is a knight. Elizabeth remarked, "Logan is a knight". Abigail was heard saying, "Sophia is a knave". According to Lucas, "Abigail is not a knave". Sophia noted, "Elizabeth is a knave and Lucas is a knight". So who is a knight and who is a knave?

Ethan Logan Noah Elizabeth Abigail Lucas Sophia

Ethan is a knight, Logan is a knight, Noah is a knave, Elizabeth is a knight, Abigail is a knight, Lucas is a knight, and Sophia is a knave.

(1) Ethan is a knight
(2) Logan is a knight
(3) Noah is a knave
(4) Elizabeth is a knight
(5) Abigail is a knight
(6) Lucas is a knight
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Sophia, Elizabeth, David, Henry, Jackson, and Ethan. Grace noted, "Elizabeth is not a knave". Sophia told you that David is a knight or Grace is a knave. "If Ethan is a knave then Sophia is a knave," Elizabeth mentioned. "Jackson is a knight and Grace is a knight," David mentioned. Henry was heard saying, "Jackson is not a knight". Jackson remarked, "Jackson is a knight or Elizabeth is a knight". In a statement by Ethan: "If David is a knight then Sophia is a knight". So who is a knight and who is a knave?

Grace Sophia Elizabeth David Henry Jackson Ethan

Grace is a knight, Sophia is a knight, Elizabeth is a knight, David is a knight, Henry is a knave, Jackson is a knight, and Ethan is a knight.

(1) Grace is a knight
(2) Sophia is a knight
(3) Elizabeth is a knight
(4) David is a knight
(5) Henry is a knave
(6) Jackson is a knight
(7) Ethan is a knight

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

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

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

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

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

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

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

Assume Henry is a knave. No contradiction is found in their false claim that Jackson 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, Ava, Charlotte, Ethan, Elizabeth, Aiden, and Benjamin. "Ethan is not a knight," Lucas mentioned. Ava stated, "Benjamin is a knave". As Charlotte put it, "Benjamin is not a knight". In Ethan's words: "Lucas is a knight or Charlotte is a knight". Elizabeth asserted: "Ava is not a knave". In Aiden's words: "Benjamin is a knight". Benjamin said, "Ethan is not a knight." So who is a knight and who is a knave?

Lucas Ava Charlotte Ethan Elizabeth Aiden Benjamin

Lucas is a knave, Ava is a knight, Charlotte is a knight, Ethan is a knight, Elizabeth is a knight, Aiden is a knave, and Benjamin is a knave.

(1) Lucas is a knave
(2) Ava is a knight
(3) Charlotte is a knight
(4) Ethan is a knight
(5) Elizabeth is a knight
(6) Aiden is a knave
(7) Benjamin is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Logan, Jackson, Jacob, Harper, Emma, and Owen. Charlotte was heard saying, "Owen is a knight or Logan is a knave". According to Logan, "Jacob is a knight or Emma is a knave". As Jackson put it, "Harper is a knight". Jacob noted, "Emma is not a knight". "If Logan is a knave then Emma is a knave," Harper claimed. Emma commented, "If Harper is a knave then Logan is a knave". Owen expressed that Logan is a knight or Charlotte is a knight. So who is a knight and who is a knave?

Charlotte Logan Jackson Jacob Harper Emma Owen

Charlotte is a knight, Logan is a knave, Jackson is a knave, Jacob is a knave, Harper is a knave, Emma is a knight, and Owen is a knight.

(1) Charlotte is a knight
(2) Logan is a knave
(3) Jackson is a knave
(4) Jacob is a knave
(5) Harper is a knave
(6) Emma is a knight
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Harper 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: Penelope, Benjamin, Jackson, Grace, Isabella, David, and Zoey. "Benjamin is a knight or Zoey is a knave," Penelope declared. Benjamin said, "Penelope is a knight and Zoey is a knave." Jackson said that Penelope is a knave or Penelope is a knight. According to Grace, "David is a knight and David is a knave". "Jackson is not a knight" - Isabella. David told you that Isabella is a knight if and only if Penelope is a knight. Zoey told you that Penelope is a knight and David is a knight. So who is a knight and who is a knave?

Penelope Benjamin Jackson Grace Isabella David Zoey

Penelope is a knight, Benjamin is a knight, Jackson is a knight, Grace is a knave, Isabella is a knave, David is a knave, and Zoey is a knave.

(1) Penelope is a knight
(2) Benjamin is a knight
(3) Jackson is a knight
(4) Grace is a knave
(5) Isabella is a knave
(6) David is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

Assume Isabella 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 Penelope is a knave or Penelope is a knight.

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

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

(('or', ('telling-truth', 1), ('lying', 6)), ('and', ('telling-truth', 0), ('lying', 6)), ('or', ('lying', 0), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('lying', 5)), ('not', ('telling-truth', 2)), ('<=>', ('telling-truth', 4), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('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: Benjamin, Oliver, Sebastian, Lily, Charlotte, Daniel, and Scarlett. Benjamin asserted: "Oliver is not a knight". Oliver commented, "Lily is a knight and Lily is a knave". In a statement by Sebastian: "Scarlett is a knave or Lily is a knight". Lily expressed that Charlotte is a knave. According to Charlotte, "Benjamin is not a knave". "Lily is a knave or Scarlett is a knight," Daniel declared. In a statement by Scarlett: "Sebastian is a knave and Lily is a knight". So who is a knight and who is a knave?

Benjamin Oliver Sebastian Lily Charlotte Daniel Scarlett

Benjamin is a knight, Oliver is a knave, Sebastian is a knight, Lily is a knave, Charlotte is a knight, Daniel is a knight, and Scarlett is a knave.

(1) Benjamin is a knight
(2) Oliver is a knave
(3) Sebastian is a knight
(4) Lily is a knave
(5) Charlotte is a knight
(6) Daniel is a knight
(7) Scarlett is a knave

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

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

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

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

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

Charlotte 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 Charlotte, so let us go back and reconsider Lily.

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

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

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

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

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

Assume Daniel is a knight. No contradiction is found in their claim that Lily is a knave or 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: Victoria, Sebastian, Olivia, Benjamin, Avery, Noah, and Aiden. Victoria stated, "Noah is not a knave". Sebastian asserted: "If Victoria is a knave then Noah is a knight". Olivia expressed that Benjamin is not a knight. Benjamin told you that Avery is not a knave. Avery commented, "Noah is a knave or Noah is a knight". Noah said that Olivia is a knight and Benjamin is a knave. Aiden asserted: "Olivia is a knight or Benjamin is a knight". So who is a knight and who is a knave?

Victoria Sebastian Olivia Benjamin Avery Noah Aiden

Victoria is a knave, Sebastian is a knave, Olivia is a knave, Benjamin is a knight, Avery is a knight, Noah is a knave, and Aiden is a knight.

(1) Victoria is a knave
(2) Sebastian is a knave
(3) Olivia is a knave
(4) Benjamin is a knight
(5) Avery is a knight
(6) Noah is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Amelia, Lily, Ella, Ethan, Lucas, Sofia, and Luke. Amelia stated, "Lily is not a knight". In a statement by Lily: "If Lucas is a knight then Ethan is a knight". Ella commented, "Lily is a knight or Ethan is a knave". According to Ethan, "Luke is not a knight". "Ella is not a knight" - Lucas. Sofia stated, "Lucas is a knight and Ethan is a knight". As Luke put it, "Sofia is a knight or Amelia is a knight". So who is a knight and who is a knave?

Amelia is a knave, Lily is a knight, Ella is a knight, Ethan is a knight, Lucas is a knave, Sofia is a knave, and Luke is a knave.

(1) Amelia is a knave
(2) Lily is a knight
(3) Ella is a knight
(4) Ethan is a knight
(5) Lucas is a knave
(6) Sofia is a knave
(7) Luke is a knave

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

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

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

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

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

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

Ethan cannot be a knight, because this would contradict the false claim of Lily that If Lucas is a knight then Ethan is a knight.

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

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

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

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

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

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

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

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

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

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

Assume Ethan 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 Ethan that Luke is not a knight.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Daniel, Alexander, Aria, Jacob, Harper, and Jack. "Jacob is a knight and Alexander is a knight," Scarlett declared. Daniel said, "If Jack is a knight then Jacob is a knave." Alexander told you that Jacob is a knave. Aria was heard saying, "Daniel is not a knave". Jacob commented, "Daniel is not a knight". Harper remarked, "If Alexander is a knave then Daniel is a knight". Jack said that Aria is not a knave. So who is a knight and who is a knave?

Scarlett Daniel Alexander Aria Jacob Harper Jack

Scarlett is a knave, Daniel is a knight, Alexander is a knight, Aria is a knight, Jacob is a knave, Harper is a knight, and Jack is a knight.

(1) Scarlett is a knave
(2) Daniel is a knight
(3) Alexander is a knight
(4) Aria is a knight
(5) Jacob is a knave
(6) Harper is a knight
(7) Jack is a knight

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

Assume Jacob 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 Jacob that Daniel is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sebastian, Chloe, Aiden, Alexander, Liam, Matthew, and Ella. "If Alexander is a knave then Liam is a knight," Sebastian declared. Chloe stated, "If Ella is a knight then Liam is a knave". Aiden was heard saying, "Ella is a knight or Alexander is a knave". Alexander expressed that Chloe is a knight or Ella is a knave. Liam was heard saying, "Sebastian is a knave". Matthew commented, "Chloe is a knight". Ella was heard saying, "Chloe is a knight". So who is a knight and who is a knave?

Sebastian Chloe Aiden Alexander Liam Matthew Ella

Sebastian is a knight, Chloe is a knight, Aiden is a knight, Alexander is a knight, Liam is a knave, Matthew is a knight, and Ella is a knight.

(1) Sebastian is a knight
(2) Chloe is a knight
(3) Aiden is a knight
(4) Alexander is a knight
(5) Liam is a knave
(6) Matthew is a knight
(7) Ella is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Abigail, Elizabeth, Mason, Sofia, Penelope, and Logan. Sophia told you that Mason is a knight if and only if Sofia is a knave. Abigail commented, "Sofia is a knight". Elizabeth was heard saying, "Mason is a knave or Mason is a knight". Mason noted, "Logan is a knight". According to Sofia, "Abigail is a knight or Mason is a knave". Penelope commented, "Mason is a knave and Sophia is a knave". According to Logan, "Abigail is a knight". So who is a knight and who is a knave?

Sophia Abigail Elizabeth Mason Sofia Penelope Logan

Sophia is a knave, Abigail is a knight, Elizabeth is a knight, Mason is a knight, Sofia is a knight, Penelope is a knave, and Logan is a knight.

(1) Sophia is a knave
(2) Abigail is a knight
(3) Elizabeth is a knight
(4) Mason is a knight
(5) Sofia is a knight
(6) Penelope is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: William, Sophia, Alexander, Amelia, Noah, Aiden, and Ava. William commented, "Alexander is a knave". "Amelia is a knight if and only if William is a knight" - Sophia. Alexander was heard saying, "If Noah is a knave then Amelia is a knight". Amelia was heard saying, "If Alexander is a knave then Sophia is a knave". According to Noah, "Alexander is a knave". Aiden said that Sophia is a knight or Amelia is a knave. Ava expressed that William is a knight. So who is a knight and who is a knave?

William Sophia Alexander Amelia Noah Aiden Ava

William is a knave, Sophia is a knave, Alexander is a knight, Amelia is a knight, Noah is a knave, Aiden is a knave, and Ava is a knave.

(1) William is a knave
(2) Sophia is a knave
(3) Alexander is a knight
(4) Amelia is a knight
(5) Noah is a knave
(6) Aiden is a knave
(7) Ava is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knave. No contradiction is found in their false claim that 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: Jack, Daniel, Avery, Aurora, Abigail, Lily, and Emily. "Aurora is a knight or Aurora is a knave," Jack claimed. "Avery is a knave if and only if Jack is a knave," Daniel mentioned. "Daniel is a knight or Aurora is a knave," Avery mentioned. Aurora expressed that Daniel is a knight. "Jack is a knight and Lily is a knave," Abigail mentioned. In a statement by Lily: "Daniel is a knave and Jack is a knight". Emily told you that Avery is not a knave. So who is a knight and who is a knave?

Jack Daniel Avery Aurora Abigail Lily Emily

Jack is a knight, Daniel is a knight, Avery is a knight, Aurora is a knight, Abigail is a knight, Lily is a knave, and Emily is a knight.

(1) Jack is a knight
(2) Daniel is a knight
(3) Avery is a knight
(4) Aurora is a knight
(5) Abigail is a knight
(6) Lily is a knave
(7) Emily is a knight

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Logan, Lucas, Olivia, Aiden, Aria, and Emily. In a statement by Benjamin: "If Logan is a knave then Olivia is a knight". Logan commented, "Benjamin is a knave and Logan is a knight". Lucas asserted: "Olivia is not a knave". Olivia noted, "Logan is a knight if and only if Emily is a knight". Aiden said, "Benjamin is a knave and Aiden is a knight." Aria asserted: "Emily is a knave if and only if Olivia is a knight". Emily commented, "Benjamin is a knight if and only if Emily is a knight". So who is a knight and who is a knave?

Benjamin Logan Lucas Olivia Aiden Aria Emily

Benjamin is a knight, Logan is a knave, Lucas is a knight, Olivia is a knight, Aiden is a knave, Aria is a knight, and Emily is a knave.

(1) Benjamin is a knight
(2) Logan is a knave
(3) Lucas is a knight
(4) Olivia is a knight
(5) Aiden is a knave
(6) Aria is a knight
(7) Emily is a knave

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

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

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

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

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

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

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

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

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

Assume Aria is a knight. No contradiction is found in their claim that Emily is a knave if and only if 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: Sebastian, William, Ethan, Elizabeth, Evelyn, Aurora, and Olivia. In Sebastian's words: "Olivia is not a knave". As William put it, "If Aurora is a knight then Ethan is a knight". Ethan asserted: "Sebastian is a knave and William is a knave". "Sebastian is a knave" - Elizabeth. "Ethan is a knight or Olivia is a knave" - Evelyn. Aurora remarked, "Evelyn is a knight and Olivia is a knave". Olivia stated, "Evelyn is a knave". So who is a knight and who is a knave?

Sebastian William Ethan Elizabeth Evelyn Aurora Olivia

Sebastian is a knight, William is a knight, Ethan is a knave, Elizabeth is a knave, Evelyn is a knave, Aurora is a knave, and Olivia is a knight.

(1) Sebastian is a knight
(2) William is a knight
(3) Ethan is a knave
(4) Elizabeth is a knave
(5) Evelyn is a knave
(6) Aurora is a knave
(7) Olivia is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Riley, Isabella, Jacob, Michael, Daniel, and Sebastian. "Michael is a knave if and only if Riley is a knight" - Aurora. In a statement by Riley: "Daniel is a knight if and only if Isabella is a knight". Isabella told you that Daniel is a knave or Michael is a knight. "Aurora is a knave or Isabella is a knave" - Jacob. In a statement by Michael: "Aurora is a knight". Daniel told you that Isabella is a knave or Riley is a knave. Sebastian stated, "If Daniel is a knight then Aurora is a knave". So who is a knight and who is a knave?

Aurora Riley Isabella Jacob Michael Daniel Sebastian

Aurora is a knave, Riley is a knave, Isabella is a knave, Jacob is a knight, Michael is a knave, Daniel is a knight, and Sebastian is a knight.

(1) Aurora is a knave
(2) Riley is a knave
(3) Isabella is a knave
(4) Jacob is a knight
(5) Michael is a knave
(6) Daniel is a knight
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Oliver, Aria, Charlotte, Owen, Abigail, Alexander, and James. Oliver said, "If Charlotte is a knight then Owen is a knight." "Aria is a knight if and only if Abigail is a knight" - Aria. Charlotte was heard saying, "Alexander is a knight or Abigail is a knight". Owen was heard saying, "If Abigail is a knight then Alexander is a knight". In Abigail's words: "Aria is not a knave". Alexander told you that Aria is a knight if and only if Charlotte is a knight. According to James, "Aria is not a knight". So who is a knight and who is a knave?

Oliver Aria Charlotte Owen Abigail Alexander James

Oliver is a knight, Aria is a knight, Charlotte is a knight, Owen is a knight, Abigail is a knight, Alexander is a knight, and James is a knave.

(1) Oliver is a knight
(2) Aria is a knight
(3) Charlotte is a knight
(4) Owen is a knight
(5) Abigail is a knight
(6) Alexander is a knight
(7) James is a knave

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

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

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

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

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

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

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

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

(('->', ('telling-truth', 2), ('telling-truth', 3)), ('<=>', ('telling-truth', 1), ('telling-truth', 4)), ('or', ('telling-truth', 5), ('telling-truth', 4)), ('->', ('telling-truth', 4), ('telling-truth', 5)), ('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('not', ('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: Oliver, Joseph, Jackson, Sebastian, Matthew, Ethan, and Aiden. Oliver noted, "Sebastian is a knight if and only if Matthew is a knight". Joseph stated, "Aiden is a knight or Jackson is a knight". Jackson said, "Joseph is a knave or Aiden is a knight." Sebastian said that Jackson is a knight. "Oliver is a knave or Matthew is a knight" - Matthew. According to Ethan, "Oliver is a knight if and only if Sebastian is a knave". "Ethan is a knave" - Aiden. So who is a knight and who is a knave?

Oliver Joseph Jackson Sebastian Matthew Ethan Aiden

Oliver is a knight, Joseph is a knight, Jackson is a knight, Sebastian is a knight, Matthew is a knight, Ethan is a knave, and Aiden is a knight.

(1) Oliver is a knight
(2) Joseph is a knight
(3) Jackson is a knight
(4) Sebastian is a knight
(5) Matthew is a knight
(6) Ethan is a knave
(7) Aiden is a knight

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

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

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

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

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

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

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

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