A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Evelyn, Michael, Chloe, Aria, Grace, and Scarlett. "Matthew is a knight and Chloe is a knight," Matthew claimed. Evelyn told you that Michael is a knight or Michael is a knave. In a statement by Michael: "Evelyn is a knave". As Chloe put it, "Aria is a knight and Evelyn is a knave". Aria told you that Matthew is a knight. Grace said, "Scarlett is a knight." Scarlett stated, "Evelyn is a knight and Michael is a knight". So who is a knight and who is a knave?

Matthew Evelyn Michael Chloe Aria Grace Scarlett

Matthew is a knave, Evelyn is a knight, Michael is a knave, Chloe is a knave, Aria is a knave, Grace is a knave, and Scarlett is a knave.

(1) Matthew is a knave
(2) Evelyn is a knight
(3) Michael is a knave
(4) Chloe is a knave
(5) Aria is a knave
(6) Grace is a knave
(7) Scarlett is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 0), ('telling-truth', 3)), ('or', ('telling-truth', 2), ('lying', 2)), ('lying', 1), ('and', ('telling-truth', 4), ('lying', 1)), ('telling-truth', 0), ('telling-truth', 6), ('and', ('telling-truth', 1), ('telling-truth', 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: Logan, Henry, Matthew, Emma, Jacob, Grace, and Noah. In a statement by Logan: "Henry is a knight if and only if Noah is a knave". Henry remarked, "Noah is a knight or Grace is a knave". Matthew expressed that If Jacob is a knight then Jacob is a knave. Emma said that Noah is a knave. Jacob remarked, "Matthew is a knight and Grace is a knave". "If Jacob is a knave then Henry is a knight" - Grace. Noah was heard saying, "Matthew is a knave if and only if Emma is a knight". So who is a knight and who is a knave?

Logan Henry Matthew Emma Jacob Grace Noah

Logan is a knave, Henry is a knight, Matthew is a knight, Emma is a knave, Jacob is a knave, Grace is a knight, and Noah is a knight.

(1) Logan is a knave
(2) Henry is a knight
(3) Matthew is a knight
(4) Emma is a knave
(5) Jacob is a knave
(6) Grace is a knight
(7) Noah is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Ava, Oliver, Victoria, Avery, Benjamin, and Ethan. Joseph asserted: "Oliver is a knave or Avery is a knight". Ava said that Benjamin is a knight and Benjamin is a knave. Oliver commented, "Victoria is a knave or Joseph is a knight". Victoria said that Benjamin is a knave if and only if Benjamin is a knight. In a statement by Avery: "If Victoria is a knight then Ava is a knight". Benjamin told you that Ethan is a knave or Ava is a knave. As Ethan put it, "Ava is not a knave". So who is a knight and who is a knave?

Joseph Ava Oliver Victoria Avery Benjamin Ethan

Joseph is a knight, Ava is a knave, Oliver is a knight, Victoria is a knave, Avery is a knight, Benjamin is a knight, and Ethan is a knave.

(1) Joseph is a knight
(2) Ava is a knave
(3) Oliver is a knight
(4) Victoria is a knave
(5) Avery is a knight
(6) Benjamin is a knight
(7) Ethan is a knave

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

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

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

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

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

Assume Ethan 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 Benjamin is a knight and Benjamin is a knave.

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

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

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

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

Assume Avery is a knight. No contradiction is found in their claim that If Victoria is a knight then Ava is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, David, Matthew, Logan, Emily, Joseph, and Sebastian. Aurora commented, "David is a knave if and only if Logan is a knave". David said, "Joseph is a knave and Emily is a knave." Matthew asserted: "Aurora is not a knave". According to Logan, "Sebastian is a knight if and only if Joseph is a knave". Emily remarked, "David is a knave if and only if Matthew is a knave". Joseph remarked, "If Emily is a knave then Logan is a knight". Sebastian said that Joseph is a knight. So who is a knight and who is a knave?

Aurora David Matthew Logan Emily Joseph Sebastian

Aurora is a knave, David is a knight, Matthew is a knave, Logan is a knave, Emily is a knave, Joseph is a knave, and Sebastian is a knave.

(1) Aurora is a knave
(2) David is a knight
(3) Matthew is a knave
(4) Logan is a knave
(5) Emily is a knave
(6) Joseph is a knave
(7) Sebastian is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Scarlett, Chloe, Grace, Liam, Aria, and Mason. "Aria is not a knight," Lily claimed. Scarlett stated, "Mason is not a knave". According to Chloe, "Liam is a knight if and only if Aria is a knight". Grace noted, "If Grace is a knight then Liam is a knight". Liam remarked, "Aria is not a knave". Aria said, "Liam is a knight." Mason commented, "Liam is not a knave". So who is a knight and who is a knave?

Lily Scarlett Chloe Grace Liam Aria Mason

Lily is a knave, Scarlett is a knight, Chloe is a knight, Grace is a knight, Liam is a knight, Aria is a knight, and Mason is a knight.

(1) Lily is a knave
(2) Scarlett is a knight
(3) Chloe is a knight
(4) Grace is a knight
(5) Liam is a knight
(6) Aria is a knight
(7) Mason is a knight

Assume Lily 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 Lily that Aria is not a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Lily 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 Liam is a knight.

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Aurora, Amelia, Luke, Ethan, Michael, and Abigail. Lily noted, "Ethan is a knight if and only if Amelia is a knight". Aurora asserted: "If Lily is a knave then Abigail is a knight". Amelia told you that Abigail is not a knight. "Abigail is a knight or Amelia is a knave" - Luke. Ethan asserted: "Aurora is not a knight". Michael asserted: "Luke is a knave or Amelia is a knight". Abigail told you that Luke is not a knave. So who is a knight and who is a knave?

Lily Aurora Amelia Luke Ethan Michael Abigail

Lily is a knight, Aurora is a knight, Amelia is a knave, Luke is a knight, Ethan is a knave, Michael is a knave, and Abigail is a knight.

(1) Lily is a knight
(2) Aurora is a knight
(3) Amelia is a knave
(4) Luke is a knight
(5) Ethan is a knave
(6) Michael is a knave
(7) Abigail is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Benjamin, Olivia, Daniel, Henry, Jackson, and Sebastian. According to Harper, "Sebastian is a knave if and only if Henry is a knight". Benjamin asserted: "Henry is a knight if and only if Olivia is a knight". Olivia commented, "Benjamin is a knave and Daniel is a knave". Daniel stated, "Jackson is a knave". Henry told you that Olivia is not a knight. Jackson said that Harper is a knight and Benjamin is a knight. Sebastian told you that Daniel is a knight and Jackson is a knight. So who is a knight and who is a knave?

Harper Benjamin Olivia Daniel Henry Jackson Sebastian

Harper is a knight, Benjamin is a knave, Olivia is a knave, Daniel is a knight, Henry is a knight, Jackson is a knave, and Sebastian is a knave.

(1) Harper is a knight
(2) Benjamin is a knave
(3) Olivia is a knave
(4) Daniel is a knight
(5) Henry is a knight
(6) Jackson is a knave
(7) Sebastian is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Owen, Abigail, Aiden, Zoey, Jack, Ava, and Harper. Owen stated, "Zoey is not a knight". Abigail noted, "Harper is a knave". Aiden asserted: "Zoey is not a knight". Zoey expressed that If Jack is a knight then Abigail is a knight. As Jack put it, "Zoey is a knave". Ava said, "Jack is a knight if and only if Harper is a knave." "Aiden is a knave" - Harper. So who is a knight and who is a knave?

Owen is a knave, Abigail is a knave, Aiden is a knave, Zoey is a knight, Jack is a knave, Ava is a knight, and Harper is a knight.

(1) Owen is a knave
(2) Abigail is a knave
(3) Aiden is a knave
(4) Zoey is a knight
(5) Jack is a knave
(6) Ava is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Scarlett, Ava, Evelyn, James, Grace, and Isabella. According to Avery, "Isabella is a knight or Ava is a knave". Scarlett was heard saying, "If Ava is a knight then Evelyn is a knave". Ava noted, "Avery is not a knave". "Ava is a knight if and only if Isabella is a knave" - Evelyn. "If Grace is a knave then Ava is a knave," James mentioned. In a statement by Grace: "Evelyn is a knight". Isabella told you that If Evelyn is a knave then Isabella is a knight. So who is a knight and who is a knave?

Avery Scarlett Ava Evelyn James Grace Isabella

Avery is a knight, Scarlett is a knight, Ava is a knight, Evelyn is a knave, James is a knave, Grace is a knave, and Isabella is a knight.

(1) Avery is a knight
(2) Scarlett is a knight
(3) Ava is a knight
(4) Evelyn is a knave
(5) James is a knave
(6) Grace is a knave
(7) Isabella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Avery, Riley, Chloe, Jack, Emily, and Jacob. Alexander asserted: "If Avery is a knight then Jacob is a knight". Avery asserted: "Emily is a knight and Avery is a knight". Riley expressed that Avery is a knave and Emily is a knight. Chloe noted, "Avery is not a knave". Jack was heard saying, "Jacob is not a knave". Emily remarked, "Chloe is a knight if and only if Chloe is a knave". Jacob commented, "Alexander is a knight or Jack is a knight". So who is a knight and who is a knave?

Alexander Avery Riley Chloe Jack Emily Jacob

Alexander is a knight, Avery is a knave, Riley is a knave, Chloe is a knave, Jack is a knight, Emily is a knave, and Jacob is a knight.

(1) Alexander is a knight
(2) Avery is a knave
(3) Riley is a knave
(4) Chloe is a knave
(5) Jack is a knight
(6) Emily is a knave
(7) Jacob is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Avery is a knave and Emily 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, Michael, Sofia, Mia, Evelyn, Ella, and Joseph. Henry said, "Michael is a knave or Mia is a knight." In Michael's words: "If Mia is a knave then Ella is a knave". In a statement by Sofia: "Henry is a knight if and only if Sofia is a knight". Mia noted, "Ella is a knight or Joseph is a knave". Evelyn said that Michael is a knight or Mia is a knight. "Sofia is a knight and Henry is a knight," Ella claimed. According to Joseph, "If Henry is a knave then Mia is a knight". So who is a knight and who is a knave?

Henry Michael Sofia Mia Evelyn Ella Joseph

Henry is a knight, Michael is a knight, Sofia is a knight, Mia is a knight, Evelyn is a knight, Ella is a knight, and Joseph is a knight.

(1) Henry is a knight
(2) Michael is a knight
(3) Sofia is a knight
(4) Mia is a knight
(5) Evelyn is a knight
(6) Ella is a knight
(7) Joseph is a knight

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

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

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

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

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

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

Assume Evelyn is a knight. No contradiction is found in their claim that Michael is a knight or 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: Ava, Grace, Luke, Owen, Sebastian, Mia, and Chloe. Ava commented, "Luke is a knight and Mia is a knave". In Grace's words: "If Mia is a knight then Sebastian is a knight". Luke stated, "Mia is a knave or Chloe is a knight". Owen said, "Mia is not a knight." In Sebastian's words: "Luke is a knave or Chloe is a knave". In Mia's words: "Owen is a knave". Chloe was heard saying, "If Sebastian is a knave then Ava is a knave". So who is a knight and who is a knave?

Ava is a knave, Grace is a knave, Luke is a knight, Owen is a knave, Sebastian is a knave, Mia is a knight, and Chloe is a knight.

(1) Ava is a knave
(2) Grace is a knave
(3) Luke is a knight
(4) Owen is a knave
(5) Sebastian is a knave
(6) Mia is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Luke, Alexander, Samuel, Oliver, Liam, and Chloe. Michael told you that Luke is a knave if and only if Michael is a knight. Luke said, "Michael is a knave or Liam is a knight." "Alexander is a knight and Luke is a knight," Alexander claimed. As Samuel put it, "Michael is not a knight". As Oliver put it, "If Chloe is a knave then Chloe is a knight". Liam was heard saying, "Chloe is a knight and Alexander is a knave". Chloe said, "Liam is not a knave." So who is a knight and who is a knave?

Michael Luke Alexander Samuel Oliver Liam Chloe

Michael is a knight, Luke is a knave, Alexander is a knave, Samuel is a knave, Oliver is a knave, Liam is a knave, and Chloe is a knave.

(1) Michael is a knight
(2) Luke is a knave
(3) Alexander is a knave
(4) Samuel is a knave
(5) Oliver is a knave
(6) Liam is a knave
(7) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jack, Aurora, Benjamin, Owen, Mason, Jacob, and Luke. Jack said that Aurora is a knight and Jack is a knight. "Luke is a knave and Jack is a knave," Aurora declared. Benjamin asserted: "If Aurora is a knave then Luke is a knave". Owen expressed that Luke is a knight or Benjamin is a knight. Mason asserted: "Aurora is a knight if and only if Owen is a knight". According to Jacob, "If Luke is a knight then Benjamin is a knave". As Luke put it, "Jacob is not a knight". So who is a knight and who is a knave?

Jack Aurora Benjamin Owen Mason Jacob Luke

Jack is a knave, Aurora is a knight, Benjamin is a knight, Owen is a knight, Mason is a knight, Jacob is a knight, and Luke is a knave.

(1) Jack is a knave
(2) Aurora is a knight
(3) Benjamin is a knight
(4) Owen is a knight
(5) Mason is a knight
(6) Jacob is a knight
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Riley, Chloe, Oliver, Ava, Joseph, and Victoria. As Ella put it, "Ava is a knight". "Victoria is a knight or Chloe is a knight" - Riley. Chloe said, "Ella is a knight or Joseph is a knave." Oliver noted, "Joseph is a knight or Riley is a knight". "Victoria is a knight or Riley is a knight," Ava claimed. Joseph stated, "Victoria is a knight and Ella is a knave". Victoria was heard saying, "Chloe is a knight if and only if Joseph is a knight". So who is a knight and who is a knave?

Ella Riley Chloe Oliver Ava Joseph Victoria

Ella is a knight, Riley is a knight, Chloe is a knight, Oliver is a knight, Ava is a knight, Joseph is a knave, and Victoria is a knave.

(1) Ella is a knight
(2) Riley is a knight
(3) Chloe is a knight
(4) Oliver is a knight
(5) Ava is a knight
(6) Joseph is a knave
(7) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

(('telling-truth', 4), ('or', ('telling-truth', 6), ('telling-truth', 2)), ('or', ('telling-truth', 0), ('lying', 5)), ('or', ('telling-truth', 5), ('telling-truth', 1)), ('or', ('telling-truth', 6), ('telling-truth', 1)), ('and', ('telling-truth', 6), ('lying', 0)), ('<=>', ('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: Abigail, Jackson, Penelope, Aurora, Henry, Evelyn, and Ella. Abigail asserted: "If Jackson is a knight then Aurora is a knave". Jackson said, "Penelope is a knight if and only if Abigail is a knave." Penelope expressed that Evelyn is not a knight. As Aurora put it, "Penelope is a knight and Henry is a knave". Henry noted, "Ella is not a knight". Evelyn noted, "If Evelyn is a knight then Ella is a knave". "Abigail is not a knight" - Ella. So who is a knight and who is a knave?

Abigail Jackson Penelope Aurora Henry Evelyn Ella

Abigail is a knight, Jackson is a knight, Penelope is a knave, Aurora is a knave, Henry is a knight, Evelyn is a knight, and Ella is a knave.

(1) Abigail is a knight
(2) Jackson is a knight
(3) Penelope is a knave
(4) Aurora is a knave
(5) Henry is a knight
(6) Evelyn is a knight
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

Assume Henry is a knight. No contradiction is found in their claim that Ella 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: Aria, Alexander, Luke, Charlotte, Harper, Benjamin, and Jacob. In a statement by Aria: "Aria is a knight or Benjamin is a knave". In Alexander's words: "If Harper is a knight then Luke is a knave". Luke remarked, "Alexander is a knave and Alexander is a knight". Charlotte expressed that Luke is a knight. "Alexander is a knight," Harper mentioned. Benjamin said that Luke is a knave and Alexander is a knave. Jacob stated, "Charlotte is a knight or Benjamin is a knight". So who is a knight and who is a knave?

Aria Alexander Luke Charlotte Harper Benjamin Jacob

Aria is a knight, Alexander is a knight, Luke is a knave, Charlotte is a knave, Harper is a knight, Benjamin is a knave, and Jacob is a knave.

(1) Aria is a knight
(2) Alexander is a knight
(3) Luke is a knave
(4) Charlotte is a knave
(5) Harper is a knight
(6) Benjamin is a knave
(7) Jacob is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Joseph, Jackson, Aurora, Sebastian, Jacob, and Zoey. According to Michael, "If Aurora is a knight then Jackson is a knight". As Joseph put it, "Sebastian is a knight if and only if Sebastian is a knave". "Michael is a knave if and only if Jacob is a knave" - Jackson. Aurora was heard saying, "Michael is a knight". Sebastian said, "Zoey is a knight and Joseph is a knight." "Joseph is a knight if and only if Sebastian is a knight," Jacob declared. "If Sebastian is a knave then Aurora is a knave," Zoey declared. So who is a knight and who is a knave?

Michael Joseph Jackson Aurora Sebastian Jacob Zoey

Michael is a knight, Joseph is a knave, Jackson is a knight, Aurora is a knight, Sebastian is a knave, Jacob is a knight, and Zoey is a knave.

(1) Michael is a knight
(2) Joseph is a knave
(3) Jackson is a knight
(4) Aurora is a knight
(5) Sebastian is a knave
(6) Jacob is a knight
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Emma, Mia, Luke, Alexander, David, and Ethan. As Harper put it, "David is not a knight". In Emma's words: "David is a knight". Mia said that If Emma is a knight then Emma is a knave. Luke said, "If Alexander is a knave then Emma is a knight." Alexander was heard saying, "If David is a knight then Harper is a knave". "Alexander is not a knight" - David. "Harper is a knight," Ethan mentioned. So who is a knight and who is a knave?

Harper Emma Mia Luke Alexander David Ethan

Harper is a knight, Emma is a knave, Mia is a knight, Luke is a knight, Alexander is a knight, David is a knave, and Ethan is a knight.

(1) Harper is a knight
(2) Emma is a knave
(3) Mia is a knight
(4) Luke is a knight
(5) Alexander is a knight
(6) David is a knave
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ella, Lucas, Olivia, Chloe, Avery, William, and Ethan. "Ethan is a knave or Olivia is a knave" - Ella. Lucas was heard saying, "Ella is a knave or Chloe is a knave". "Lucas is a knight and Chloe is a knight," Olivia declared. "If William is a knight then Ella is a knight," Chloe mentioned. According to Avery, "If Lucas is a knave then Lucas is a knight". William commented, "Chloe is a knight and Ethan is a knave". In a statement by Ethan: "If Chloe is a knight then Lucas is a knave". So who is a knight and who is a knave?

Ella Lucas Olivia Chloe Avery William Ethan

Ella is a knight, Lucas is a knave, Olivia is a knave, Chloe is a knight, Avery is a knave, William is a knave, and Ethan is a knight.

(1) Ella is a knight
(2) Lucas is a knave
(3) Olivia is a knave
(4) Chloe is a knight
(5) Avery is a knave
(6) William is a knave
(7) Ethan is a knight

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

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

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

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

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

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

Assume Lucas is a knave. No contradiction is found in their false claim that Ella is a knave or Chloe is a knave.

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Henry, Charlotte, Lucas, Daniel, Jacob, Lily, and Harper. Henry expressed that If Jacob is a knave then Lily is a knave. Charlotte stated, "Jacob is a knave or Henry is a knave". Lucas stated, "Jacob is a knave if and only if Henry is a knave". In Daniel's words: "Henry is a knight and Lucas is a knight". Jacob noted, "Harper is a knave". According to Lily, "Jacob is not a knight". "Henry is a knave or Charlotte is a knave" - Harper. So who is a knight and who is a knave?

Henry Charlotte Lucas Daniel Jacob Lily Harper

Henry is a knave, Charlotte is a knight, Lucas is a knight, Daniel is a knave, Jacob is a knave, Lily is a knight, and Harper is a knight.

(1) Henry is a knave
(2) Charlotte is a knight
(3) Lucas is a knight
(4) Daniel is a knave
(5) Jacob is a knave
(6) Lily is a knight
(7) Harper is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Owen, Logan, Elizabeth, Jacob, Scarlett, and Zoey. "Elizabeth is a knight" - James. "If Zoey is a knave then Elizabeth is a knight," Owen declared. In a statement by Logan: "If James is a knight then Logan is a knight". Elizabeth was heard saying, "Elizabeth is a knight if and only if Zoey is a knave". Jacob stated, "If Zoey is a knave then Elizabeth is a knave". Scarlett noted, "Jacob is a knave and Owen is a knave". Zoey was heard saying, "Scarlett is a knight if and only if Jacob is a knight". So who is a knight and who is a knave?

James Owen Logan Elizabeth Jacob Scarlett Zoey

James is a knave, Owen is a knave, Logan is a knight, Elizabeth is a knave, Jacob is a knight, Scarlett is a knave, and Zoey is a knave.

(1) James is a knave
(2) Owen is a knave
(3) Logan is a knight
(4) Elizabeth is a knave
(5) Jacob is a knight
(6) Scarlett is a knave
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Michael, Samuel, Henry, Abigail, Harper, and Sofia. In a statement by James: "Michael is a knight if and only if Samuel is a knave". "Henry is a knave or Harper is a knight," Michael declared. In Samuel's words: "Michael is not a knave". Henry was heard saying, "If Harper is a knight then Samuel is a knight". Abigail told you that Harper is a knight and Abigail is a knight. Harper noted, "Sofia is a knave and Henry is a knave". Sofia said, "If Henry is a knave then Michael is a knight." So who is a knight and who is a knave?

James Michael Samuel Henry Abigail Harper Sofia

James is a knave, Michael is a knave, Samuel is a knave, Henry is a knight, Abigail is a knave, Harper is a knave, and Sofia is a knight.

(1) James is a knave
(2) Michael is a knave
(3) Samuel is a knave
(4) Henry is a knight
(5) Abigail is a knave
(6) Harper is a knave
(7) Sofia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Victoria, Jackson, Henry, Ella, James, and Matthew. Charlotte stated, "Victoria is a knave or James is a knave". According to Victoria, "Henry is not a knave". Jackson said that Victoria is a knight. According to Henry, "If Henry is a knight then Jackson is a knight". Ella expressed that Matthew is a knave. James told you that Charlotte is a knight and Ella is a knave. In Matthew's words: "Henry is a knave". So who is a knight and who is a knave?

Charlotte Victoria Jackson Henry Ella James Matthew

Charlotte is a knight, Victoria is a knight, Jackson is a knight, Henry is a knight, Ella is a knight, James is a knave, and Matthew is a knave.

(1) Charlotte is a knight
(2) Victoria is a knight
(3) Jackson is a knight
(4) Henry is a knight
(5) Ella is a knight
(6) James is a knave
(7) Matthew is a knave

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

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

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

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

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

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

Assume Ella 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 Ella that Matthew is a knave.

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mia, Avery, Sebastian, Michael, William, Daniel, and Ava. Mia noted, "Avery is a knight or Sebastian is a knight". Avery said that Sebastian is a knight if and only if Avery is a knight. In Sebastian's words: "Mia is a knave or Avery is a knight". In a statement by Michael: "Avery is a knave or Mia is a knight". William remarked, "Sebastian is a knave and Avery is a knave". In a statement by Daniel: "If Mia is a knave then Mia is a knight". "If Sebastian is a knight then William is a knight," Ava claimed. So who is a knight and who is a knave?

Mia Avery Sebastian Michael William Daniel Ava

Mia is a knight, Avery is a knight, Sebastian is a knight, Michael is a knight, William is a knave, Daniel is a knight, and Ava is a knave.

(1) Mia is a knight
(2) Avery is a knight
(3) Sebastian is a knight
(4) Michael is a knight
(5) William is a knave
(6) Daniel is a knight
(7) Ava is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Sophia, Victoria, Aria, Ella, Isabella, and Chloe. Emily asserted: "Ella is not a knave". Sophia said, "Aria is a knight or Isabella is a knave." Victoria noted, "If Emily is a knight then Ella is a knight". Aria was heard saying, "If Sophia is a knight then Victoria is a knave". Ella remarked, "Sophia is a knave if and only if Sophia is a knight". Isabella said that Victoria is a knave or Chloe is a knight. According to Chloe, "Victoria is a knight and Isabella is a knight". So who is a knight and who is a knave?

Emily Sophia Victoria Aria Ella Isabella Chloe

Emily is a knave, Sophia is a knight, Victoria is a knight, Aria is a knave, Ella is a knave, Isabella is a knave, and Chloe is a knave.

(1) Emily is a knave
(2) Sophia is a knight
(3) Victoria is a knight
(4) Aria is a knave
(5) Ella is a knave
(6) Isabella is a knave
(7) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Oliver, Olivia, Penelope, Sebastian, Michael, and Aria. In a statement by James: "Oliver is a knight or Sebastian is a knight". Oliver asserted: "If Olivia is a knight then Sebastian is a knave". As Olivia put it, "Olivia is a knight if and only if Oliver is a knight". "Olivia is a knave or Sebastian is a knight," Penelope claimed. Sebastian noted, "Oliver is a knave or Olivia is a knight". Michael said that Olivia is a knight and James is a knight. Aria noted, "If Michael is a knave then Penelope is a knave". So who is a knight and who is a knave?

James Oliver Olivia Penelope Sebastian Michael Aria

James is a knight, Oliver is a knight, Olivia is a knave, Penelope is a knight, Sebastian is a knave, Michael is a knave, and Aria is a knave.

(1) James is a knight
(2) Oliver is a knight
(3) Olivia is a knave
(4) Penelope is a knight
(5) Sebastian is a knave
(6) Michael is a knave
(7) Aria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Aria is a knave. No contradiction is found in their false claim that If Michael is a knave then Penelope 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, Chloe, Henry, Ava, Lily, Grace, and Elizabeth. Olivia was heard saying, "If Henry is a knave then Lily is a knight". Chloe told you that Ava is a knave or Henry is a knight. "If Lily is a knight then Chloe is a knave," Henry mentioned. "Olivia is a knave," Ava declared. According to Lily, "If Lily is a knight then Chloe is a knight". Grace noted, "Olivia is a knave and Chloe is a knave". Elizabeth said that Lily is a knight or Grace is a knight. So who is a knight and who is a knave?

Olivia Chloe Henry Ava Lily Grace Elizabeth

Olivia is a knight, Chloe is a knight, Henry is a knave, Ava is a knave, Lily is a knight, Grace is a knave, and Elizabeth is a knight.

(1) Olivia is a knight
(2) Chloe is a knight
(3) Henry is a knave
(4) Ava is a knave
(5) Lily is a knight
(6) Grace is a knave
(7) Elizabeth is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Luke, Sebastian, Emma, Evelyn, Zoey, Samuel, and Ethan. Luke told you that Ethan is a knave if and only if Sebastian is a knave. Sebastian asserted: "If Zoey is a knave then Ethan is a knave". Emma commented, "Ethan is a knave and Ethan is a knight". In Evelyn's words: "Sebastian is a knave". Zoey was heard saying, "If Emma is a knight then Samuel is a knave". Samuel said, "Evelyn is a knight or Sebastian is a knave." "If Zoey is a knave then Evelyn is a knave," Ethan mentioned. So who is a knight and who is a knave?

Luke Sebastian Emma Evelyn Zoey Samuel Ethan

Luke is a knight, Sebastian is a knight, Emma is a knave, Evelyn is a knave, Zoey is a knight, Samuel is a knave, and Ethan is a knight.

(1) Luke is a knight
(2) Sebastian is a knight
(3) Emma is a knave
(4) Evelyn is a knave
(5) Zoey is a knight
(6) Samuel is a knave
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Sebastian is a knight. No contradiction is found in their claim that If Zoey is a knave then Ethan 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: Aiden, Benjamin, Amelia, Zoey, Alexander, Avery, and Logan. Aiden stated, "If Logan is a knight then Amelia is a knight". "Alexander is not a knave," Benjamin declared. In Amelia's words: "Benjamin is a knight if and only if Amelia is a knight". In Zoey's words: "Logan is a knight". Alexander asserted: "Zoey is not a knave". Avery expressed that Benjamin is a knave or Alexander is a knave. Logan asserted: "Alexander is a knave or Amelia is a knight". So who is a knight and who is a knave?

Aiden Benjamin Amelia Zoey Alexander Avery Logan

Aiden is a knight, Benjamin is a knight, Amelia is a knight, Zoey is a knight, Alexander is a knight, Avery is a knave, and Logan is a knight.

(1) Aiden is a knight
(2) Benjamin is a knight
(3) Amelia is a knight
(4) Zoey is a knight
(5) Alexander is a knight
(6) Avery is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

Assume Avery is a knave. No contradiction is found in their false claim that Benjamin 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: Ella, James, Jack, Henry, William, Zoey, and Ethan. Ella expressed that Zoey is not a knight. James stated, "Zoey is a knave or James is a knight". Jack stated, "Henry is a knave if and only if William is a knight". "Zoey is not a knight," Henry declared. As William put it, "James is a knave and Zoey is a knave". "Jack is a knight or Ethan is a knight" - Zoey. Ethan noted, "Jack is a knave and James is a knave". So who is a knight and who is a knave?

Ella James Jack Henry William Zoey Ethan

Ella is a knave, James is a knave, Jack is a knave, Henry is a knave, William is a knave, Zoey is a knight, and Ethan is a knight.

(1) Ella is a knave
(2) James is a knave
(3) Jack is a knave
(4) Henry is a knave
(5) William is a knave
(6) Zoey is a knight
(7) Ethan is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Jackson, James, Logan, Chloe, Sebastian, Penelope, and Ava. Jackson remarked, "James is a knight if and only if Ava is a knight". James told you that Logan is a knave or Penelope is a knave. "Ava is a knight or Sebastian is a knave" - Logan. Chloe said, "Logan is a knight or Jackson is a knight." Sebastian asserted: "Ava is a knave". Penelope said, "Jackson is a knight." As Ava put it, "Sebastian is not a knight". So who is a knight and who is a knave?

Jackson James Logan Chloe Sebastian Penelope Ava

Jackson is a knave, James is a knight, Logan is a knave, Chloe is a knave, Sebastian is a knight, Penelope is a knave, and Ava is a knave.

(1) Jackson is a knave
(2) James is a knight
(3) Logan is a knave
(4) Chloe is a knave
(5) Sebastian is a knight
(6) Penelope is a knave
(7) Ava is a knave

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

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

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

Assume Ava 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 their own that Ava is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emma, Olivia, Samuel, Owen, Riley, Henry, and Chloe. In Emma's words: "If Henry is a knight then Owen is a knave". Olivia noted, "Emma is a knight if and only if Emma is a knave". In Samuel's words: "If Olivia is a knight then Owen is a knight". Owen expressed that If Riley is a knight then Chloe is a knave. "Emma is a knight or Emma is a knave," Riley claimed. "If Riley is a knave then Olivia is a knight," Henry mentioned. Chloe stated, "Riley is not a knight". So who is a knight and who is a knave?

Emma Olivia Samuel Owen Riley Henry Chloe

Emma is a knave, Olivia is a knave, Samuel is a knight, Owen is a knight, Riley is a knight, Henry is a knight, and Chloe is a knave.

(1) Emma is a knave
(2) Olivia is a knave
(3) Samuel is a knight
(4) Owen is a knight
(5) Riley is a knight
(6) Henry is a knight
(7) Chloe is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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