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, Michael, Riley, Lucas, Mason, Abigail, and Sebastian. "If Abigail is a knight then Mason is a knight," Zoey mentioned. Michael noted, "Abigail is a knave". Riley was heard saying, "Sebastian is a knight". Lucas was heard saying, "If Abigail is a knight then Michael is a knave". Mason noted, "Riley is a knight". Abigail said that Lucas is a knave or Zoey is a knave. Sebastian said that If Lucas is a knave then Michael is a knight. So who is a knight and who is a knave?

Zoey Michael Riley Lucas Mason Abigail Sebastian

Zoey is a knight, Michael is a knight, Riley is a knight, Lucas is a knight, Mason is a knight, Abigail is a knave, and Sebastian is a knight.

(1) Zoey is a knight
(2) Michael is a knight
(3) Riley is a knight
(4) Lucas is a knight
(5) Mason is a knight
(6) Abigail is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Avery, Aurora, Liam, Ava, Chloe, and William. In a statement by James: "Chloe is a knight". Avery was heard saying, "Ava is a knave or William is a knave". "Avery is a knight if and only if Ava is a knave," Aurora mentioned. "Aurora is a knight and Aurora is a knave," Liam declared. Ava expressed that James is a knight and Avery is a knave. "William is not a knave," Chloe claimed. William remarked, "If Ava is a knight then Ava is a knave". So who is a knight and who is a knave?

James Avery Aurora Liam Ava Chloe William

James is a knight, Avery is a knight, Aurora is a knight, Liam is a knave, Ava is a knave, Chloe is a knight, and William is a knight.

(1) James is a knight
(2) Avery is a knight
(3) Aurora is a knight
(4) Liam is a knave
(5) Ava is a knave
(6) Chloe is a knight
(7) William is a knight

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

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

Assume Chloe 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 If Ava is a knight then Ava is a knave.

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

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

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

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

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

Assume Liam is a knave. No contradiction is found in their false claim that Aurora is a knight and 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: Olivia, Samuel, Aurora, Victoria, David, Jacob, and Scarlett. "David is a knight or Scarlett is a knight," Olivia claimed. Samuel commented, "Victoria is a knave and Olivia is a knight". Aurora remarked, "If Aurora is a knight then Scarlett is a knight". Victoria told you that If David is a knave then Aurora is a knight. David stated, "Olivia is a knave if and only if Victoria is a knave". Jacob was heard saying, "If Victoria is a knave then Victoria is a knight". Scarlett commented, "Aurora is a knight or David is a knight". So who is a knight and who is a knave?

Olivia Samuel Aurora Victoria David Jacob Scarlett

Olivia is a knight, Samuel is a knave, Aurora is a knight, Victoria is a knight, David is a knight, Jacob is a knight, and Scarlett is a knight.

(1) Olivia is a knight
(2) Samuel is a knave
(3) Aurora is a knight
(4) Victoria is a knight
(5) David is a knight
(6) Jacob is a knight
(7) Scarlett is a knight

Assume Olivia is a knight. No contradiction is found in their claim that David is a knight or Scarlett is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Emma, Jackson, Owen, Matthew, Mia, and James. As Sophia put it, "Mia is a knight if and only if Owen is a knave". Emma was heard saying, "Mia is a knight". Jackson remarked, "James is a knight and Emma is a knave". Owen said that Matthew is a knave. Matthew was heard saying, "James is not a knave". Mia said that James is not a knave. James noted, "Emma is a knight if and only if James is a knight". So who is a knight and who is a knave?

Sophia Emma Jackson Owen Matthew Mia James

Sophia is a knight, Emma is a knight, Jackson is a knave, Owen is a knave, Matthew is a knight, Mia is a knight, and James is a knight.

(1) Sophia is a knight
(2) Emma is a knight
(3) Jackson is a knave
(4) Owen is a knave
(5) Matthew is a knight
(6) Mia is a knight
(7) James is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Sofia, Aurora, Isabella, William, Chloe, and Charlotte. Joseph noted, "Aurora is a knave or William is a knave". According to Sofia, "Isabella is a knave". Aurora said, "Charlotte is a knight if and only if Joseph is a knave." Isabella told you that William is not a knight. As William put it, "Joseph is a knave if and only if Charlotte is a knight". Chloe was heard saying, "Aurora is a knave and Aurora is a knight". Charlotte was heard saying, "Aurora is a knight". So who is a knight and who is a knave?

Joseph Sofia Aurora Isabella William Chloe Charlotte

Joseph is a knave, Sofia is a knight, Aurora is a knight, Isabella is a knave, William is a knight, Chloe is a knave, and Charlotte is a knight.

(1) Joseph is a knave
(2) Sofia is a knight
(3) Aurora is a knight
(4) Isabella is a knave
(5) William is a knight
(6) Chloe is a knave
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

Assume Joseph is a knave. No contradiction is found in their false claim that Aurora is a knave or William is a knave.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Aiden, Harper, Victoria, James, Oliver, and Olivia. As Jacob put it, "Aiden is a knave or Victoria is a knave". In a statement by Aiden: "Jacob is a knave if and only if Olivia is a knave". "Aiden is a knave if and only if Victoria is a knave," Harper mentioned. As Victoria put it, "Oliver is a knight and Jacob is a knave". James was heard saying, "Harper is not a knave". Oliver commented, "Aiden is a knave or Olivia is a knight". As Olivia put it, "James is a knight or Oliver is a knight". So who is a knight and who is a knave?

Jacob Aiden Harper Victoria James Oliver Olivia

Jacob is a knight, Aiden is a knight, Harper is a knave, Victoria is a knave, James is a knave, Oliver is a knight, and Olivia is a knight.

(1) Jacob is a knight
(2) Aiden is a knight
(3) Harper is a knave
(4) Victoria is a knave
(5) James is a knave
(6) Oliver is a knight
(7) Olivia is a knight

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

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

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

Assume James 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 Aiden is a knave if and only if Victoria is a knave.

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

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

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

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their claim that Aiden is a knave or 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, Luke, Samuel, Mason, Avery, Joseph, and Oliver. Sebastian told you that Avery is a knave and Avery is a knight. Luke noted, "Samuel is not a knight". Samuel stated, "Mason is a knight or Joseph is a knave". "Joseph is a knave," Mason mentioned. In a statement by Avery: "If Joseph is a knight then Mason is a knight". Joseph said that Mason is a knight and Avery is a knave. Oliver was heard saying, "Sebastian is a knave". So who is a knight and who is a knave?

Sebastian Luke Samuel Mason Avery Joseph Oliver

Sebastian is a knave, Luke is a knave, Samuel is a knight, Mason is a knight, Avery is a knight, Joseph is a knave, and Oliver is a knight.

(1) Sebastian is a knave
(2) Luke is a knave
(3) Samuel is a knight
(4) Mason is a knight
(5) Avery is a knight
(6) Joseph is a knave
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Oliver is a knight. No contradiction is found in their 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: Alexander, Scarlett, Ella, Emily, Sofia, James, and Abigail. Alexander remarked, "Scarlett is a knave and Emily is a knave". Scarlett stated, "James is a knight or Alexander is a knave". Ella stated, "If Scarlett is a knight then Sofia is a knave". Emily told you that James is a knight or Scarlett is a knight. Sofia was heard saying, "Emily is a knight or Scarlett is a knight". "Ella is a knight if and only if Abigail is a knight," James mentioned. Abigail noted, "Sofia is a knave". So who is a knight and who is a knave?

Alexander Scarlett Ella Emily Sofia James Abigail

Alexander is a knave, Scarlett is a knight, Ella is a knave, Emily is a knight, Sofia is a knight, James is a knight, and Abigail is a knave.

(1) Alexander is a knave
(2) Scarlett is a knight
(3) Ella is a knave
(4) Emily is a knight
(5) Sofia is a knight
(6) James is a knight
(7) Abigail is a knave

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

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

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

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

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

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

Assume Sofia is a knight. No contradiction is found in their claim that Emily is a knight or Scarlett is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Samuel, Aiden, Sophia, Emily, Aria, Mia, and Ava. Samuel commented, "Aria is not a knight". Aiden noted, "Aria is a knight and Aria is a knave". "Samuel is a knight and Emily is a knave" - Sophia. Emily asserted: "Mia is not a knight". In Aria's words: "If Aiden is a knave then Ava is a knave". "Sophia is a knight or Ava is a knight," Mia mentioned. Ava asserted: "Samuel is a knight and Emily is a knight". So who is a knight and who is a knave?

Samuel is a knave, Aiden is a knave, Sophia is a knave, Emily is a knight, Aria is a knight, Mia is a knave, and Ava is a knave.

(1) Samuel is a knave
(2) Aiden is a knave
(3) Sophia is a knave
(4) Emily is a knight
(5) Aria is a knight
(6) Mia is a knave
(7) Ava is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('not', ('telling-truth', 4)), ('and', ('telling-truth', 4), ('lying', 4)), ('and', ('telling-truth', 0), ('lying', 3)), ('not', ('telling-truth', 5)), ('->', ('lying', 1), ('lying', 6)), ('or', ('telling-truth', 2), ('telling-truth', 6)), ('and', ('telling-truth', 0), ('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: Grace, Victoria, Matthew, Lily, Zoey, Logan, and Michael. Grace said, "Logan is a knight or Grace is a knight." Victoria said that Matthew is a knave. Matthew stated, "If Grace is a knave then Matthew is a knight". Lily remarked, "Zoey is not a knight". As Zoey put it, "If Logan is a knave then Matthew is a knave". "Victoria is a knight or Michael is a knight," Logan declared. In a statement by Michael: "Zoey is a knight or Matthew is a knight". So who is a knight and who is a knave?

Grace Victoria Matthew Lily Zoey Logan Michael

Grace is a knight, Victoria is a knave, Matthew is a knight, Lily is a knave, Zoey is a knight, Logan is a knight, and Michael is a knight.

(1) Grace is a knight
(2) Victoria is a knave
(3) Matthew is a knight
(4) Lily is a knave
(5) Zoey is a knight
(6) Logan is a knight
(7) Michael is a knight

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

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

Assume Victoria 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 Victoria that Matthew is a knave.

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

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

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

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

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

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

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

Assume Lily is a knave. No contradiction is found in their false claim that Zoey 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: Emma, Isabella, Aria, Sebastian, Sofia, Oliver, and William. As Emma put it, "Oliver is a knave or William is a knave". Isabella commented, "William is a knight and Oliver is a knave". "If Emma is a knave then William is a knight," Aria claimed. In a statement by Sebastian: "William is not a knave". Sofia was heard saying, "If William is a knave then Aria is a knight". According to Oliver, "Aria is not a knave". William stated, "Isabella is a knight". So who is a knight and who is a knave?

Emma Isabella Aria Sebastian Sofia Oliver William

Emma is a knight, Isabella is a knave, Aria is a knight, Sebastian is a knave, Sofia is a knight, Oliver is a knight, and William is a knave.

(1) Emma is a knight
(2) Isabella is a knave
(3) Aria is a knight
(4) Sebastian is a knave
(5) Sofia is a knight
(6) Oliver is a knight
(7) William is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Grace, Mason, David, Oliver, Henry, Jacob, and Mia. Grace was heard saying, "Oliver is a knight if and only if Mason is a knave". "David is a knight or Mia is a knight" - Mason. David stated, "Mia is a knight and Grace is a knight". Oliver expressed that Grace is a knave if and only if Jacob is a knave. Henry stated, "Jacob is a knave". "Mia is a knight and Mason is a knave," Jacob declared. "If Mia is a knight then Oliver is a knight," Mia mentioned. So who is a knight and who is a knave?

Grace Mason David Oliver Henry Jacob Mia

Grace is a knave, Mason is a knight, David is a knave, Oliver is a knight, Henry is a knight, Jacob is a knave, and Mia is a knight.

(1) Grace is a knave
(2) Mason is a knight
(3) David is a knave
(4) Oliver is a knight
(5) Henry is a knight
(6) Jacob is a knave
(7) Mia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mason is a knight. No contradiction is found in their claim that David is a knight or Mia is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Evelyn, Mason, Sebastian, Aria, Lily, and Isabella. According to Victoria, "Aria is a knave or Lily is a knight". Evelyn asserted: "Sebastian is not a knave". "Isabella is a knave if and only if Lily is a knight," Mason claimed. Sebastian remarked, "Victoria is not a knight". Aria said that Evelyn is a knave if and only if Lily is a knave. In a statement by Lily: "If Sebastian is a knave then Isabella is a knave". Isabella commented, "Mason is a knave or Isabella is a knight". So who is a knight and who is a knave?

Victoria Evelyn Mason Sebastian Aria Lily Isabella

Victoria is a knight, Evelyn is a knave, Mason is a knight, Sebastian is a knave, Aria is a knave, Lily is a knight, and Isabella is a knave.

(1) Victoria is a knight
(2) Evelyn is a knave
(3) Mason is a knight
(4) Sebastian is a knave
(5) Aria is a knave
(6) Lily is a knight
(7) Isabella is a knave

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

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Lily, Sebastian, and 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 a knave if and only if Lily is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Harper, Zoey, Alexander, Elizabeth, Victoria, and Emma. Riley was heard saying, "If Harper is a knight then Alexander is a knight". In Harper's words: "Alexander is a knight and Elizabeth is a knight". In a statement by Zoey: "Alexander is a knight and Elizabeth is a knight". Alexander told you that Victoria is a knight. "Riley is a knight if and only if Zoey is a knave," Elizabeth mentioned. "If Zoey is a knave then Riley is a knave," Victoria declared. Emma remarked, "If Zoey is a knave then Zoey is a knight". So who is a knight and who is a knave?

Riley Harper Zoey Alexander Elizabeth Victoria Emma

Riley is a knight, Harper is a knave, Zoey is a knave, Alexander is a knave, Elizabeth is a knight, Victoria is a knave, and Emma is a knave.

(1) Riley is a knight
(2) Harper is a knave
(3) Zoey is a knave
(4) Alexander is a knave
(5) Elizabeth is a knight
(6) Victoria is a knave
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Emma is a knave. No contradiction is found in their false claim that If Zoey is a knave then Zoey 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, Penelope, Sebastian, Aurora, Noah, Emma, and Jackson. Victoria expressed that Noah is a knave. "Noah is a knave," Penelope claimed. According to Sebastian, "Emma is a knave". "Noah is a knight and Emma is a knight" - Aurora. Noah said that Sebastian is a knave. As Emma put it, "Aurora is a knight and Sebastian is a knight". Jackson said, "Emma is a knight." So who is a knight and who is a knave?

Victoria Penelope Sebastian Aurora Noah Emma Jackson

Victoria is a knight, Penelope is a knight, Sebastian is a knight, Aurora is a knave, Noah is a knave, Emma is a knave, and Jackson is a knave.

(1) Victoria is a knight
(2) Penelope is a knight
(3) Sebastian is a knight
(4) Aurora is a knave
(5) Noah is a knave
(6) Emma is a knave
(7) Jackson is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Ava, Victoria, Harper, Sophia, Sofia, and Charlotte. Luke noted, "Sofia is a knight or Sofia is a knave". In a statement by Ava: "If Sofia is a knight then Luke is a knight". Victoria stated, "Harper is a knave and Charlotte is a knight". Harper told you that Ava is a knight if and only if Sophia is a knave. Sophia told you that Sofia is a knight. As Sofia put it, "Luke is a knight or Charlotte is a knight". Charlotte noted, "Sofia is a knight or Charlotte is a knight". So who is a knight and who is a knave?

Luke Ava Victoria Harper Sophia Sofia Charlotte

Luke is a knight, Ava is a knight, Victoria is a knight, Harper is a knave, Sophia is a knight, Sofia is a knight, and Charlotte is a knight.

(1) Luke is a knight
(2) Ava is a knight
(3) Victoria is a knight
(4) Harper is a knave
(5) Sophia is a knight
(6) Sofia is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 5), ('lying', 5)), ('->', ('telling-truth', 5), ('telling-truth', 0)), ('and', ('lying', 3), ('telling-truth', 6)), ('<=>', ('telling-truth', 1), ('lying', 4)), ('telling-truth', 5), ('or', ('telling-truth', 0), ('telling-truth', 6)), ('or', ('telling-truth', 5), ('telling-truth', 6)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Lucas, Daniel, Sofia, William, Riley, and Sebastian. David expressed that Sebastian is a knight. Lucas asserted: "Sebastian is a knave if and only if William is a knight". According to Daniel, "William is a knave". "William is a knight" - Sofia. William said, "Riley is not a knight." "Sofia is a knight if and only if Lucas is a knave," Riley declared. Sebastian expressed that Sofia is a knight and David is a knight. So who is a knight and who is a knave?

David Lucas Daniel Sofia William Riley Sebastian

David is a knave, Lucas is a knight, Daniel is a knave, Sofia is a knight, William is a knight, Riley is a knave, and Sebastian is a knave.

(1) David is a knave
(2) Lucas is a knight
(3) Daniel is a knave
(4) Sofia is a knight
(5) William is a knight
(6) Riley is a knave
(7) Sebastian is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('telling-truth', 6), ('<=>', ('lying', 6), ('telling-truth', 4)), ('lying', 4), ('telling-truth', 4), ('not', ('telling-truth', 5)), ('<=>', ('telling-truth', 3), ('lying', 1)), ('and', ('telling-truth', 3), ('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: Michael, Jack, Amelia, Samuel, Henry, Benjamin, and Charlotte. Michael remarked, "Benjamin is a knight and Henry is a knave". According to Jack, "If Michael is a knight then Benjamin is a knave". Amelia expressed that Jack is a knave and Jack is a knight. Samuel asserted: "Henry is a knave if and only if Henry is a knight". Henry told you that If Amelia is a knight then Jack is a knave. Benjamin expressed that Michael is a knave. Charlotte was heard saying, "Amelia is a knave". So who is a knight and who is a knave?

Michael Jack Amelia Samuel Henry Benjamin Charlotte

Michael is a knave, Jack is a knight, Amelia is a knave, Samuel is a knave, Henry is a knight, Benjamin is a knight, and Charlotte is a knight.

(1) Michael is a knave
(2) Jack is a knight
(3) Amelia is a knave
(4) Samuel is a knave
(5) Henry is a knight
(6) Benjamin is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sofia, Jacob, Evelyn, Victoria, Elizabeth, Owen, and Olivia. As Sofia put it, "Jacob is a knight if and only if Olivia is a knave". Jacob expressed that Victoria is a knave or Elizabeth is a knight. In Evelyn's words: "Owen is a knight". Victoria said that Olivia is a knight. As Elizabeth put it, "Evelyn is a knight and Jacob is a knight". Owen commented, "Sofia is a knight". "Sofia is a knight if and only if Owen is a knave," Olivia declared. So who is a knight and who is a knave?

Sofia Jacob Evelyn Victoria Elizabeth Owen Olivia

Sofia is a knight, Jacob is a knight, Evelyn is a knight, Victoria is a knave, Elizabeth is a knight, Owen is a knight, and Olivia is a knave.

(1) Sofia is a knight
(2) Jacob is a knight
(3) Evelyn is a knight
(4) Victoria is a knave
(5) Elizabeth is a knight
(6) Owen is a knight
(7) Olivia is a knave

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

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

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

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

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

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

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

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

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

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

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

(('<=>', ('telling-truth', 1), ('lying', 6)), ('or', ('lying', 3), ('telling-truth', 4)), ('telling-truth', 5), ('telling-truth', 6), ('and', ('telling-truth', 2), ('telling-truth', 1)), ('telling-truth', 0), ('<=>', ('telling-truth', 0), ('lying', 5)))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Jack, Grace, Aiden, Matthew, Victoria, and Emma. Ethan said, "Emma is a knight if and only if Victoria is a knave." Jack commented, "Ethan is a knight or Aiden is a knave". Grace stated, "Emma is a knave and Aiden is a knave". According to Aiden, "Ethan is not a knight". As Matthew put it, "Emma is a knight or Grace is a knave". Victoria said, "Jack is not a knave." In a statement by Emma: "Ethan is not a knave". So who is a knight and who is a knave?

Ethan Jack Grace Aiden Matthew Victoria Emma

Ethan is a knave, Jack is a knave, Grace is a knave, Aiden is a knight, Matthew is a knight, Victoria is a knave, and Emma is a knave.

(1) Ethan is a knave
(2) Jack is a knave
(3) Grace is a knave
(4) Aiden is a knight
(5) Matthew is a knight
(6) Victoria is a knave
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Riley, Grace, Lucas, Olivia, Ava, James, and Zoey. Riley noted, "Grace is not a knight". Grace expressed that Olivia is a knave if and only if Riley is a knave. In Lucas's words: "Lucas is a knight if and only if Olivia is a knave". In a statement by Olivia: "If Zoey is a knight then Lucas is a knave". Ava commented, "Grace is not a knave". James stated, "Ava is a knave". "Ava is not a knave," Zoey declared. So who is a knight and who is a knave?

Riley is a knave, Grace is a knight, Lucas is a knight, Olivia is a knave, Ava is a knight, James is a knave, and Zoey is a knight.

(1) Riley is a knave
(2) Grace is a knight
(3) Lucas is a knight
(4) Olivia is a knave
(5) Ava is a knight
(6) James is a knave
(7) Zoey is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Aiden, Chloe, Olivia, Ethan, Aurora, and Riley. "If Alexander is a knight then Ethan is a knight," Alexander claimed. According to Aiden, "Riley is a knave if and only if Chloe is a knight". "Aiden is a knave or Alexander is a knave," Chloe mentioned. Olivia commented, "Alexander is a knave if and only if Ethan is a knight". As Ethan put it, "Aurora is a knave or Alexander is a knight". As Aurora put it, "If Olivia is a knight then Alexander is a knave". "Aiden is a knave or Olivia is a knight," Riley declared. So who is a knight and who is a knave?

Alexander Aiden Chloe Olivia Ethan Aurora Riley

Alexander is a knight, Aiden is a knave, Chloe is a knight, Olivia is a knave, Ethan is a knight, Aurora is a knight, and Riley is a knight.

(1) Alexander is a knight
(2) Aiden is a knave
(3) Chloe is a knight
(4) Olivia is a knave
(5) Ethan is a knight
(6) Aurora is a knight
(7) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jacob, Alexander, Chloe, Liam, James, Lucas, and Sebastian. "James is a knave or Chloe is a knave," Jacob claimed. In a statement by Alexander: "James is a knave". "Alexander is a knave or Jacob is a knave," Chloe mentioned. "If Alexander is a knight then Lucas is a knave," Liam declared. "Lucas is a knave if and only if Liam is a knight," James mentioned. Lucas told you that Sebastian is not a knight. "Alexander is not a knight," Sebastian mentioned. So who is a knight and who is a knave?

Jacob Alexander Chloe Liam James Lucas Sebastian

Jacob is a knave, Alexander is a knave, Chloe is a knight, Liam is a knight, James is a knight, Lucas is a knave, and Sebastian is a knight.

(1) Jacob is a knave
(2) Alexander is a knave
(3) Chloe is a knight
(4) Liam is a knight
(5) James is a knight
(6) Lucas is a knave
(7) Sebastian is a knight

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

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

Assume Lucas 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 Lucas that Sebastian is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jacob is a knave. No contradiction is found in their false claim that James is a knave or Chloe is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Henry, Evelyn, Chloe, Isabella, Scarlett, and James. "If James is a knight then Isabella is a knight," Jack declared. Henry asserted: "Chloe is a knave if and only if James is a knight". Evelyn was heard saying, "James is a knight". Chloe told you that Jack is a knight. In Isabella's words: "If Evelyn is a knight then Scarlett is a knight". "Evelyn is a knave," Scarlett declared. James was heard saying, "If Scarlett is a knave then Jack is a knave". So who is a knight and who is a knave?

Jack Henry Evelyn Chloe Isabella Scarlett James

Jack is a knave, Henry is a knight, Evelyn is a knight, Chloe is a knave, Isabella is a knave, Scarlett is a knave, and James is a knight.

(1) Jack is a knave
(2) Henry is a knight
(3) Evelyn is a knight
(4) Chloe is a knave
(5) Isabella is a knave
(6) Scarlett is a knave
(7) James is a knight

Assume Jack is a knight. No contradiction is found in their claim that If James is a knight then Isabella is a knight.

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

Assume Scarlett 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 Scarlett that Evelyn is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

Isabella cannot be a knight, because this would contradict the false claim of Jack that If James is a knight then Isabella is a knight.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Aria, Emma, Mia, Sophia, Penelope, and Isabella. Olivia stated, "Penelope is a knight if and only if Penelope is a knave". "If Isabella is a knight then Olivia is a knight" - Aria. "Mia is a knight or Sophia is a knave," Emma declared. "If Sophia is a knave then Aria is a knave," Mia claimed. Sophia asserted: "Mia is a knight and Olivia is a knight". Penelope was heard saying, "Aria is a knight and Aria is a knave". Isabella said that If Penelope is a knight then Emma is a knight. So who is a knight and who is a knave?

Olivia Aria Emma Mia Sophia Penelope Isabella

Olivia is a knave, Aria is a knave, Emma is a knight, Mia is a knight, Sophia is a knave, Penelope is a knave, and Isabella is a knight.

(1) Olivia is a knave
(2) Aria is a knave
(3) Emma is a knight
(4) Mia is a knight
(5) Sophia is a knave
(6) Penelope is a knave
(7) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sophia is a knave. No contradiction is found in their false claim that Mia is a knight and 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, Lucas, Aiden, Avery, Mia, Liam, and Noah. In a statement by Sebastian: "Liam is a knight or Liam is a knave". Lucas was heard saying, "Mia is a knave and Liam is a knight". "Noah is a knight and Liam is a knave," Aiden mentioned. Avery commented, "Lucas is not a knight". In a statement by Mia: "If Liam is a knave then Lucas is a knave". According to Liam, "Avery is a knave if and only if Sebastian is a knight". Noah asserted: "If Liam is a knight then Mia is a knight". So who is a knight and who is a knave?

Sebastian Lucas Aiden Avery Mia Liam Noah

Sebastian is a knight, Lucas is a knave, Aiden is a knight, Avery is a knight, Mia is a knight, Liam is a knave, and Noah is a knight.

(1) Sebastian is a knight
(2) Lucas is a knave
(3) Aiden is a knight
(4) Avery is a knight
(5) Mia is a knight
(6) Liam is a knave
(7) Noah is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Noah is a knight. No contradiction is found in their claim that If Liam is a knight then Mia 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, Charlotte, Liam, Michael, Owen, Mia, and William. Evelyn noted, "Owen is a knight or Liam is a knight". Charlotte expressed that Michael is a knight or William is a knight. "Owen is a knave," Liam claimed. Michael remarked, "If Charlotte is a knave then Evelyn is a knight". According to Owen, "William is a knave or William is a knight". Mia commented, "Liam is not a knave". William noted, "If Liam is a knave then Evelyn is a knave". So who is a knight and who is a knave?

Evelyn Charlotte Liam Michael Owen Mia William

Evelyn is a knight, Charlotte is a knight, Liam is a knave, Michael is a knight, Owen is a knight, Mia is a knave, and William is a knave.

(1) Evelyn is a knight
(2) Charlotte is a knight
(3) Liam is a knave
(4) Michael is a knight
(5) Owen is a knight
(6) Mia is a knave
(7) William is a knave

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Liam 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: Oliver, Alexander, Penelope, Mason, Ethan, Abigail, and Henry. Oliver stated, "Abigail is not a knight". "Henry is a knight," Alexander declared. Penelope commented, "Henry is a knave". "Henry is a knave if and only if Ethan is a knave" - Mason. As Ethan put it, "Abigail is a knave if and only if Mason is a knave". "Penelope is a knight or Oliver is a knave," Abigail claimed. "Ethan is a knave," Henry claimed. So who is a knight and who is a knave?

Oliver Alexander Penelope Mason Ethan Abigail Henry

Oliver is a knave, Alexander is a knight, Penelope is a knave, Mason is a knave, Ethan is a knave, Abigail is a knight, and Henry is a knight.

(1) Oliver is a knave
(2) Alexander is a knight
(3) Penelope is a knave
(4) Mason is a knave
(5) Ethan is a knave
(6) Abigail is a knight
(7) Henry is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Amelia, Sophia, Daniel, Harper, Ethan, and Benjamin. In Henry's words: "Daniel is a knave or Ethan is a knave". Amelia said that Sophia is a knight and Henry is a knight. "Ethan is a knight and Sophia is a knight," Sophia claimed. "Amelia is a knight or Henry is a knight" - Daniel. Harper asserted: "Benjamin is a knight". "If Sophia is a knave then Daniel is a knave" - Ethan. Benjamin noted, "Sophia is a knave". So who is a knight and who is a knave?

Henry Amelia Sophia Daniel Harper Ethan Benjamin

Henry is a knight, Amelia is a knave, Sophia is a knave, Daniel is a knight, Harper is a knight, Ethan is a knave, and Benjamin is a knight.

(1) Henry is a knight
(2) Amelia is a knave
(3) Sophia is a knave
(4) Daniel is a knight
(5) Harper is a knight
(6) Ethan is a knave
(7) Benjamin is a knight

Assume Henry is a knight. No contradiction is found in their claim that Daniel is a knave or Ethan is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('or', ('lying', 3), ('lying', 5)), ('and', ('telling-truth', 2), ('telling-truth', 0)), ('and', ('telling-truth', 5), ('telling-truth', 2)), ('or', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 6), ('->', ('lying', 2), ('lying', 3)), ('lying', 2))


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Elizabeth, David, Evelyn, Benjamin, Olivia, and Joseph. "Elizabeth is not a knave," Michael mentioned. Elizabeth stated, "Joseph is not a knight". According to David, "If David is a knight then Evelyn is a knight". Evelyn expressed that Evelyn is a knight if and only if Elizabeth is a knave. Benjamin was heard saying, "Joseph is a knight or Olivia is a knight". "If Michael is a knave then David is a knave," Olivia mentioned. "Evelyn is a knight and David is a knight," Joseph claimed. So who is a knight and who is a knave?

Michael Elizabeth David Evelyn Benjamin Olivia Joseph

Michael is a knave, Elizabeth is a knave, David is a knight, Evelyn is a knight, Benjamin is a knight, Olivia is a knave, and Joseph is a knight.

(1) Michael is a knave
(2) Elizabeth is a knave
(3) David is a knight
(4) Evelyn is a knight
(5) Benjamin is a knight
(6) Olivia is a knave
(7) Joseph is a knight

Assume Michael 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 Joseph is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Olivia is a knave. No contradiction is found in their false claim that If Michael is a knave then David 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: Sofia, Luke, James, Isabella, Sophia, Scarlett, and Benjamin. Sofia expressed that Benjamin is a knave. In a statement by Luke: "Sophia is a knight if and only if Scarlett is a knight". As James put it, "Benjamin is a knight or Benjamin is a knave". In Isabella's words: "Scarlett is a knight or Isabella is a knight". Sophia expressed that Isabella is a knight and James is a knight. "Luke is a knight if and only if James is a knave," Scarlett mentioned. "Luke is a knave and Sofia is a knave," Benjamin declared. So who is a knight and who is a knave?

Sofia Luke James Isabella Sophia Scarlett Benjamin

Sofia is a knight, Luke is a knight, James is a knight, Isabella is a knave, Sophia is a knave, Scarlett is a knave, and Benjamin is a knave.

(1) Sofia is a knight
(2) Luke is a knight
(3) James is a knight
(4) Isabella is a knave
(5) Sophia is a knave
(6) Scarlett is a knave
(7) Benjamin is a knave

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

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

Assume Benjamin is a knave. No contradiction is found in their false claim that Luke is a knave and Sofia is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin 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: Lily, Luke, Michael, Henry, Sophia, Grace, and Liam. Lily said that If Sophia is a knight then Lily is a knight. In Luke's words: "If Henry is a knave then Lily is a knight". Michael told you that Lily is a knave. Henry expressed that Luke is not a knight. "Liam is a knight and Michael is a knave," Sophia claimed. Grace said, "Michael is a knave." Liam commented, "Michael is a knave if and only if Grace is a knave". So who is a knight and who is a knave?

Lily Luke Michael Henry Sophia Grace Liam

Lily is a knight, Luke is a knight, Michael is a knave, Henry is a knave, Sophia is a knave, Grace is a knight, and Liam is a knave.

(1) Lily is a knight
(2) Luke is a knight
(3) Michael is a knave
(4) Henry is a knave
(5) Sophia is a knave
(6) Grace is a knight
(7) Liam is a knave

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

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

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

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

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

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

Grace 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 Grace and Michael, so let us go back and reconsider Liam.

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

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

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

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

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

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

Assume Grace 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 If Henry is a knave then Lily is a knight.

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

Assume Henry is a knave. No contradiction is found in their false claim that Luke 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: Isabella, Jacob, Zoey, Emma, Riley, Amelia, and Lily. "Riley is a knave if and only if Amelia is a knight," Isabella mentioned. In a statement by Jacob: "If Amelia is a knave then Lily is a knight". In Zoey's words: "Riley is a knight and Jacob is a knight". "Lily is not a knight," Emma mentioned. As Riley put it, "Lily is a knight or Emma is a knave". Amelia said, "Riley is a knight and Zoey is a knave." According to Lily, "Isabella is a knight or Jacob is a knave". So who is a knight and who is a knave?

Isabella Jacob Zoey Emma Riley Amelia Lily

Isabella is a knight, Jacob is a knight, Zoey is a knight, Emma is a knave, Riley is a knight, Amelia is a knave, and Lily is a knight.

(1) Isabella is a knight
(2) Jacob is a knight
(3) Zoey is a knight
(4) Emma is a knave
(5) Riley is a knight
(6) Amelia is a knave
(7) Lily is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Oliver, Scarlett, Amelia, Samuel, Sebastian, and Evelyn. According to Daniel, "If Oliver is a knight then Evelyn is a knave". "If Sebastian is a knight then Daniel is a knight," Oliver declared. "Evelyn is not a knave," Scarlett claimed. Amelia commented, "Evelyn is a knave if and only if Samuel is a knave". Samuel expressed that Oliver is a knight and Evelyn is a knight. Sebastian was heard saying, "Scarlett is a knave or Daniel is a knight". Evelyn expressed that Oliver is a knight or Daniel is a knave. So who is a knight and who is a knave?

Daniel Oliver Scarlett Amelia Samuel Sebastian Evelyn

Daniel is a knave, Oliver is a knight, Scarlett is a knight, Amelia is a knight, Samuel is a knight, Sebastian is a knave, and Evelyn is a knight.

(1) Daniel is a knave
(2) Oliver is a knight
(3) Scarlett is a knight
(4) Amelia is a knight
(5) Samuel is a knight
(6) Sebastian is a knave
(7) Evelyn is a knight

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

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

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

Assume Scarlett 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 Daniel that If Oliver is a knight then Evelyn is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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