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, Owen, Alexander, Sebastian, Aria, Ava, and William. Emma noted, "Owen is a knight if and only if Sebastian is a knave". As Owen put it, "Ava is a knight and Emma is a knight". Alexander noted, "Ava is a knight and William is a knave". "Owen is a knight" - Sebastian. Aria said that Owen is a knight. "Owen is a knave," Ava claimed. William was heard saying, "Aria is a knight and William is a knight". So who is a knight and who is a knave?

Emma Owen Alexander Sebastian Aria Ava William

Emma is a knave, Owen is a knave, Alexander is a knight, Sebastian is a knave, Aria is a knave, Ava is a knight, and William is a knave.

(1) Emma is a knave
(2) Owen is a knave
(3) Alexander is a knight
(4) Sebastian is a knave
(5) Aria is a knave
(6) Ava is a knight
(7) William is a knave

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

Assume Owen is a knight. No contradiction is found in their claim that Ava is a knight and Emma is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Penelope, Sophia, Logan, Evelyn, Amelia, and Riley. In Benjamin's words: "If Sophia is a knight then Amelia is a knave". Penelope was heard saying, "Penelope is a knight if and only if Evelyn is a knight". Sophia was heard saying, "Penelope is a knight". Logan commented, "If Logan is a knight then Amelia is a knave". Evelyn noted, "If Amelia is a knave then Penelope is a knight". "Penelope is a knave if and only if Sophia is a knight," Amelia mentioned. Riley noted, "Amelia is a knight if and only if Evelyn is a knight". So who is a knight and who is a knave?

Benjamin Penelope Sophia Logan Evelyn Amelia Riley

Benjamin is a knight, Penelope is a knight, Sophia is a knight, Logan is a knight, Evelyn is a knight, Amelia is a knave, and Riley is a knave.

(1) Benjamin is a knight
(2) Penelope is a knight
(3) Sophia is a knight
(4) Logan is a knight
(5) Evelyn is a knight
(6) Amelia is a knave
(7) Riley is a knave

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

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

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

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

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

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

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

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

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

Assume Riley is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if 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: Ethan, Amelia, Noah, Daniel, Charlotte, Jacob, and Jack. Ethan said that If Jacob is a knave then Amelia is a knight. "Charlotte is a knight," Amelia declared. "Jack is a knight and Amelia is a knight" - Noah. "Amelia is a knave if and only if Ethan is a knave," Daniel declared. Charlotte expressed that Ethan is a knave or Jacob is a knight. In a statement by Jacob: "Daniel is a knight or Charlotte is a knave". Jack remarked, "Amelia is a knave or Ethan is a knight". So who is a knight and who is a knave?

Ethan Amelia Noah Daniel Charlotte Jacob Jack

Ethan is a knight, Amelia is a knight, Noah is a knight, Daniel is a knight, Charlotte is a knight, Jacob is a knight, and Jack is a knight.

(1) Ethan is a knight
(2) Amelia is a knight
(3) Noah is a knight
(4) Daniel is a knight
(5) Charlotte is a knight
(6) Jacob is a knight
(7) Jack is a knight

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Zoey, Penelope, Chloe, Grace, Ethan, and Matthew. As Emily put it, "Chloe is a knave and Grace is a knight". Zoey commented, "Matthew is a knave and Chloe is a knave". "Ethan is a knave and Penelope is a knight" - Penelope. Chloe remarked, "Ethan is a knight and Chloe is a knight". "Zoey is a knave" - Grace. Ethan commented, "Emily is a knight if and only if Zoey is a knave". Matthew asserted: "Chloe is a knight". So who is a knight and who is a knave?

Emily Zoey Penelope Chloe Grace Ethan Matthew

Emily is a knave, Zoey is a knight, Penelope is a knave, Chloe is a knave, Grace is a knave, Ethan is a knight, and Matthew is a knave.

(1) Emily is a knave
(2) Zoey is a knight
(3) Penelope is a knave
(4) Chloe is a knave
(5) Grace is a knave
(6) Ethan is a knight
(7) Matthew is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Penelope is a knave. No contradiction is found in their false claim that Ethan is a knave and Penelope 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, Avery, Emma, Abigail, Jackson, Joseph, and Oliver. Aurora told you that Jackson is not a knave. "Abigail is a knave and Jackson is a knight," Avery declared. Emma commented, "Abigail is a knave if and only if Avery is a knave". Abigail stated, "Abigail is a knight and Aurora is a knight". Jackson said, "Emma is a knight or Abigail is a knight." "Abigail is not a knight," Joseph claimed. As Oliver put it, "Emma is a knave". So who is a knight and who is a knave?

Aurora Avery Emma Abigail Jackson Joseph Oliver

Aurora is a knight, Avery is a knave, Emma is a knave, Abigail is a knight, Jackson is a knight, Joseph is a knave, and Oliver is a knight.

(1) Aurora is a knight
(2) Avery is a knave
(3) Emma is a knave
(4) Abigail is a knight
(5) Jackson is a knight
(6) Joseph is a knave
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Harper, Mason, Daniel, Jack, Riley, and Aurora. In a statement by Michael: "Riley is a knight and Aurora is a knight". In a statement by Harper: "Michael is not a knight". Mason noted, "Michael is a knave or Harper is a knave". Daniel was heard saying, "Michael is a knight and Harper is a knight". Jack expressed that Harper is a knight. "If Michael is a knight then Mason is a knight," Riley claimed. Aurora said that If Daniel is a knave then Riley is a knave. So who is a knight and who is a knave?

Michael Harper Mason Daniel Jack Riley Aurora

Michael is a knave, Harper is a knight, Mason is a knight, Daniel is a knave, Jack is a knight, Riley is a knight, and Aurora is a knave.

(1) Michael is a knave
(2) Harper is a knight
(3) Mason is a knight
(4) Daniel is a knave
(5) Jack is a knight
(6) Riley is a knight
(7) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ethan, Lucas, Grace, Alexander, Benjamin, Sophia, and Owen. Ethan noted, "Grace is a knave or Lucas is a knight". Lucas told you that Benjamin is a knave if and only if Owen is a knight. As Grace put it, "If Alexander is a knave then Grace is a knight". Alexander remarked, "Benjamin is a knave if and only if Lucas is a knight". Benjamin said that Lucas is a knave if and only if Lucas is a knight. Sophia said, "Owen is not a knave." Owen commented, "Grace is not a knight". So who is a knight and who is a knave?

Ethan Lucas Grace Alexander Benjamin Sophia Owen

Ethan is a knave, Lucas is a knave, Grace is a knight, Alexander is a knave, Benjamin is a knave, Sophia is a knave, and Owen is a knave.

(1) Ethan is a knave
(2) Lucas is a knave
(3) Grace is a knight
(4) Alexander is a knave
(5) Benjamin is a knave
(6) Sophia is a knave
(7) Owen is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Jack, Oliver, Daniel, Charlotte, Abigail, and Mason. James said that Mason is not a knave. "Oliver is a knave if and only if Daniel is a knave," Jack declared. Oliver asserted: "If Charlotte is a knave then Abigail is a knight". Daniel said that James is a knight. Charlotte said that James is a knight if and only if Daniel is a knight. Abigail asserted: "Oliver is a knave or Daniel is a knight". Mason commented, "Mason is a knight if and only if Jack is a knave". So who is a knight and who is a knave?

James Jack Oliver Daniel Charlotte Abigail Mason

James is a knave, Jack is a knave, Oliver is a knight, Daniel is a knave, Charlotte is a knight, Abigail is a knave, and Mason is a knave.

(1) James is a knave
(2) Jack is a knave
(3) Oliver is a knight
(4) Daniel is a knave
(5) Charlotte is a knight
(6) Abigail is a knave
(7) Mason is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James 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 James that Mason is not a knave.

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Benjamin, Logan, Liam, Daniel, Aria, Riley, and Emma. In a statement by Benjamin: "Emma is a knave". Logan stated, "Aria is a knight". "Emma is a knave," Liam declared. Daniel expressed that Emma is not a knave. Aria remarked, "Emma is not a knave". Riley commented, "Aria is a knave". Emma said, "Benjamin is a knight and Logan is a knight." So who is a knight and who is a knave?

Benjamin Logan Liam Daniel Aria Riley Emma

Benjamin is a knight, Logan is a knave, Liam is a knight, Daniel is a knave, Aria is a knave, Riley is a knight, and Emma is a knave.

(1) Benjamin is a knight
(2) Logan is a knave
(3) Liam is a knight
(4) Daniel is a knave
(5) Aria is a knave
(6) Riley is a knight
(7) Emma is a knave

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

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

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

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

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

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

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

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

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

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

Assume Riley is a knight. No contradiction is found in their claim that Aria 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: Lucas, Jacob, Victoria, Luke, Amelia, Mason, and Chloe. Lucas expressed that Victoria is a knight and Mason is a knave. Jacob said that Luke is a knight or Lucas is a knave. Victoria was heard saying, "Mason is a knave if and only if Amelia is a knight". In a statement by Luke: "Jacob is a knave and Chloe is a knight". Amelia asserted: "Jacob is a knight". In a statement by Mason: "If Amelia is a knave then Victoria is a knave". Chloe said, "If Jacob is a knave then Chloe is a knight." So who is a knight and who is a knave?

Lucas Jacob Victoria Luke Amelia Mason Chloe

Lucas is a knave, Jacob is a knight, Victoria is a knave, Luke is a knave, Amelia is a knight, Mason is a knight, and Chloe is a knight.

(1) Lucas is a knave
(2) Jacob is a knight
(3) Victoria is a knave
(4) Luke is a knave
(5) Amelia is a knight
(6) Mason is a knight
(7) Chloe is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Chloe is a knight. No contradiction is found in their claim that If Jacob 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: Jacob, Amelia, Grace, Ella, Zoey, William, and Joseph. In a statement by Jacob: "If Amelia is a knight then Zoey is a knight". Amelia told you that Jacob is a knave. In a statement by Grace: "Ella is not a knave". Ella stated, "Joseph is a knave". According to Zoey, "Amelia is a knight". William commented, "Amelia is a knave". Joseph was heard saying, "William is a knight and Jacob is a knight". So who is a knight and who is a knave?

Jacob Amelia Grace Ella Zoey William Joseph

Jacob is a knight, Amelia is a knave, Grace is a knave, Ella is a knave, Zoey is a knave, William is a knight, and Joseph is a knight.

(1) Jacob is a knight
(2) Amelia is a knave
(3) Grace is a knave
(4) Ella is a knave
(5) Zoey is a knave
(6) William is a knight
(7) Joseph is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Grace 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 Grace that Ella is not a knave.

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

Assume Joseph is a knight. No contradiction is found in their claim that William is a knight and Jacob is a knight.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aurora, Grace, Harper, Amelia, Oliver, Elizabeth, and Emily. As Aurora put it, "Oliver is a knave or Amelia is a knight". Grace was heard saying, "Aurora is not a knave". In a statement by Harper: "Emily is a knave or Grace is a knight". Amelia remarked, "Aurora is a knave and Harper is a knight". Oliver said, "Amelia is a knight and Harper is a knight." "Emily is a knight," Elizabeth mentioned. Emily told you that Aurora is a knave. So who is a knight and who is a knave?

Aurora Grace Harper Amelia Oliver Elizabeth Emily

Aurora is a knight, Grace is a knight, Harper is a knight, Amelia is a knave, Oliver is a knave, Elizabeth is a knave, and Emily is a knave.

(1) Aurora is a knight
(2) Grace is a knight
(3) Harper is a knight
(4) Amelia is a knave
(5) Oliver is a knave
(6) Elizabeth is a knave
(7) Emily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Jack, Victoria, Samuel, Abigail, Penelope, and Lucas. As Matthew put it, "Penelope is a knave". Jack asserted: "Victoria is a knight". As Victoria put it, "Jack is a knight or Lucas is a knight". In a statement by Samuel: "Lucas is a knave". "Lucas is a knight and Penelope is a knave" - Abigail. Penelope said that Victoria is not a knave. Lucas noted, "Abigail is not a knight". So who is a knight and who is a knave?

Matthew Jack Victoria Samuel Abigail Penelope Lucas

Matthew is a knave, Jack is a knight, Victoria is a knight, Samuel is a knave, Abigail is a knave, Penelope is a knight, and Lucas is a knight.

(1) Matthew is a knave
(2) Jack is a knight
(3) Victoria is a knight
(4) Samuel is a knave
(5) Abigail is a knave
(6) Penelope is a knight
(7) Lucas is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('lying', 5), ('telling-truth', 2), ('or', ('telling-truth', 1), ('telling-truth', 6)), ('lying', 6), ('and', ('telling-truth', 6), ('lying', 5)), ('not', ('lying', 2)), ('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: Charlotte, Daniel, Aiden, Emily, Jack, Olivia, and Isabella. Charlotte told you that Daniel is a knight and Emily is a knight. Daniel asserted: "Olivia is a knight or Olivia is a knave". Aiden asserted: "Isabella is a knight if and only if Charlotte is a knave". "Olivia is a knight," Emily declared. Jack asserted: "If Daniel is a knight then Emily is a knave". Olivia said that Jack is a knave and Aiden is a knave. According to Isabella, "Aiden is not a knight". So who is a knight and who is a knave?

Charlotte Daniel Aiden Emily Jack Olivia Isabella

Charlotte is a knight, Daniel is a knight, Aiden is a knave, Emily is a knight, Jack is a knave, Olivia is a knight, and Isabella is a knight.

(1) Charlotte is a knight
(2) Daniel is a knight
(3) Aiden is a knave
(4) Emily is a knight
(5) Jack is a knave
(6) Olivia is a knight
(7) Isabella is a knight

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

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Aiden 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: Samuel, Chloe, Amelia, Avery, Riley, Liam, and Sebastian. Samuel remarked, "Chloe is not a knave". Chloe stated, "Samuel is a knight or Amelia is a knight". Amelia asserted: "Sebastian is not a knave". Avery was heard saying, "Samuel is a knight". Riley told you that Samuel is not a knave. "If Samuel is a knight then Riley is a knave" - Liam. Sebastian said, "Liam is a knight or Riley is a knight." So who is a knight and who is a knave?

Samuel Chloe Amelia Avery Riley Liam Sebastian

Samuel is a knight, Chloe is a knight, Amelia is a knight, Avery is a knight, Riley is a knight, Liam is a knave, and Sebastian is a knight.

(1) Samuel is a knight
(2) Chloe is a knight
(3) Amelia is a knight
(4) Avery is a knight
(5) Riley is a knight
(6) Liam is a knave
(7) Sebastian is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Alexander, Sofia, Zoey, Ethan, Henry, and Liam. In a statement by Isabella: "Sofia is not a knight". "Liam is a knave" - Alexander. In Sofia's words: "Ethan is a knave or Isabella is a knave". "Liam is a knight and Ethan is a knave" - Zoey. Ethan said, "Liam is a knave or Liam is a knight." As Henry put it, "If Henry is a knight then Sofia is a knight". Liam told you that If Ethan is a knave then Sofia is a knight. So who is a knight and who is a knave?

Isabella Alexander Sofia Zoey Ethan Henry Liam

Isabella is a knave, Alexander is a knave, Sofia is a knight, Zoey is a knave, Ethan is a knight, Henry is a knight, and Liam is a knight.

(1) Isabella is a knave
(2) Alexander is a knave
(3) Sofia is a knight
(4) Zoey is a knave
(5) Ethan is a knight
(6) Henry is a knight
(7) Liam is a knight

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

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

Assume Sofia is a knave. No contradiction is found in their false claim that Ethan is a knave or Isabella is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Emily, Ava, Jack, Abigail, Benjamin, and Matthew. Joseph commented, "Matthew is a knight if and only if Abigail is a knight". "Abigail is a knave and Ava is a knight" - Emily. Ava expressed that Jack is a knight and Emily is a knight. Jack asserted: "Abigail is a knight and Matthew is a knight". "Matthew is a knight" - Abigail. Benjamin told you that Abigail is a knave or Benjamin is a knight. Matthew noted, "Jack is a knight if and only if Benjamin is a knave". So who is a knight and who is a knave?

Joseph Emily Ava Jack Abigail Benjamin Matthew

Joseph is a knight, Emily is a knave, Ava is a knave, Jack is a knight, Abigail is a knight, Benjamin is a knave, and Matthew is a knight.

(1) Joseph is a knight
(2) Emily is a knave
(3) Ava is a knave
(4) Jack is a knight
(5) Abigail is a knight
(6) Benjamin is a knave
(7) Matthew is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Lucas, Daniel, Sofia, Noah, Alexander, and Henry. James noted, "If Daniel is a knight then Alexander is a knave". According to Lucas, "James is a knave if and only if Noah is a knave". Daniel told you that Lucas is not a knight. Sofia said that Daniel is a knight and Henry is a knight. In Noah's words: "James is not a knave". Alexander remarked, "If Henry is a knight then Daniel is a knave". Henry asserted: "Noah is a knave". So who is a knight and who is a knave?

James Lucas Daniel Sofia Noah Alexander Henry

James is a knight, Lucas is a knight, Daniel is a knave, Sofia is a knave, Noah is a knight, Alexander is a knight, and Henry is a knave.

(1) James is a knight
(2) Lucas is a knight
(3) Daniel is a knave
(4) Sofia is a knave
(5) Noah is a knight
(6) Alexander is a knight
(7) Henry is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Sophia, Aria, Zoey, Elizabeth, Matthew, David, and Benjamin. Sophia commented, "Sophia is a knight and Benjamin is a knave". Aria said that David is a knave and Sophia is a knight. "Sophia is not a knave" - Zoey. Elizabeth asserted: "Matthew is a knight". Matthew expressed that David is a knight. As David put it, "David is a knight or Elizabeth is a knave". Benjamin remarked, "If Sophia is a knight then Zoey is a knight". So who is a knight and who is a knave?

Sophia Aria Zoey Elizabeth Matthew David Benjamin

Sophia is a knave, Aria is a knave, Zoey is a knave, Elizabeth is a knight, Matthew is a knight, David is a knight, and Benjamin is a knight.

(1) Sophia is a knave
(2) Aria is a knave
(3) Zoey is a knave
(4) Elizabeth is a knight
(5) Matthew is a knight
(6) David is a knight
(7) Benjamin is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('and', ('telling-truth', 0), ('lying', 6)), ('and', ('lying', 5), ('telling-truth', 0)), ('not', ('lying', 0)), ('telling-truth', 4), ('telling-truth', 5), ('or', ('telling-truth', 5), ('lying', 3)), ('->', ('telling-truth', 0), ('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: Abigail, Matthew, Liam, Jackson, David, Chloe, and Jacob. Abigail was heard saying, "Chloe is a knave". According to Matthew, "Jackson is not a knave". In a statement by Liam: "Jackson is a knave or Jacob is a knave". "Liam is a knight if and only if Chloe is a knight," Jackson declared. David said that Jackson is not a knave. Chloe asserted: "Jackson is a knight". Jacob was heard saying, "If Jacob is a knight then David is a knave". So who is a knight and who is a knave?

Abigail Matthew Liam Jackson David Chloe Jacob

Abigail is a knight, Matthew is a knave, Liam is a knight, Jackson is a knave, David is a knave, Chloe is a knave, and Jacob is a knight.

(1) Abigail is a knight
(2) Matthew is a knave
(3) Liam is a knight
(4) Jackson is a knave
(5) David is a knave
(6) Chloe is a knave
(7) Jacob is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Mason, Abigail, James, Elizabeth, Jacob, Chloe, and Riley. Mason told you that If Jacob is a knight then Elizabeth is a knave. Abigail expressed that Jacob is a knave and Mason is a knight. "Abigail is not a knave," James claimed. According to Elizabeth, "Mason is a knight". Jacob commented, "Mason is a knight if and only if Abigail is a knave". Chloe asserted: "James is a knave or Abigail is a knight". Riley commented, "Mason is a knight or Riley is a knight". So who is a knight and who is a knave?

Mason Abigail James Elizabeth Jacob Chloe Riley

Mason is a knight, Abigail is a knight, James is a knight, Elizabeth is a knight, Jacob is a knave, Chloe is a knight, and Riley is a knight.

(1) Mason is a knight
(2) Abigail is a knight
(3) James is a knight
(4) Elizabeth is a knight
(5) Jacob is a knave
(6) Chloe is a knight
(7) Riley is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Charlotte, Elizabeth, William, Mason, Samuel, Luke, and Mia. In Charlotte's words: "Mia is a knight and Luke is a knave". "William is a knave or William is a knight" - Elizabeth. William asserted: "Luke is a knight and Elizabeth is a knight". In a statement by Mason: "Charlotte is not a knight". Samuel told you that Charlotte is not a knave. Luke said, "If Charlotte is a knave then Mia is a knight." Mia stated, "Samuel is a knight and Elizabeth is a knight". So who is a knight and who is a knave?

Charlotte Elizabeth William Mason Samuel Luke Mia

Charlotte is a knave, Elizabeth is a knight, William is a knave, Mason is a knight, Samuel is a knave, Luke is a knave, and Mia is a knave.

(1) Charlotte is a knave
(2) Elizabeth is a knight
(3) William is a knave
(4) Mason is a knight
(5) Samuel is a knave
(6) Luke is a knave
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Liam, Jacob, Grace, Sebastian, Henry, Daniel, and Owen. Liam asserted: "Henry is a knight or Henry is a knave". Jacob expressed that Henry is a knight and Sebastian is a knight. Grace was heard saying, "Owen is a knave if and only if Jacob is a knave". "Owen is a knave," Sebastian mentioned. Henry commented, "If Jacob is a knight then Liam is a knight". "Henry is a knave" - Daniel. In Owen's words: "Grace is a knight". So who is a knight and who is a knave?

Liam Jacob Grace Sebastian Henry Daniel Owen

Liam is a knight, Jacob is a knight, Grace is a knave, Sebastian is a knight, Henry is a knight, Daniel is a knave, and Owen is a knave.

(1) Liam is a knight
(2) Jacob is a knight
(3) Grace is a knave
(4) Sebastian is a knight
(5) Henry is a knight
(6) Daniel is a knave
(7) Owen is a knave

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

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

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

Assume Sebastian 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 Sebastian that Owen is a knave.

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

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

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

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

Assume Daniel 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: Sofia, Matthew, Zoey, Ava, Riley, Joseph, and Chloe. Sofia remarked, "Joseph is not a knight". "Joseph is not a knave," Matthew declared. "If Joseph is a knight then Matthew is a knave," Zoey mentioned. Ava was heard saying, "If Joseph is a knight then Joseph is a knave". Riley told you that If Sofia is a knight then Joseph is a knave. According to Joseph, "Chloe is a knave if and only if Riley is a knave". Chloe said that Joseph is a knave if and only if Joseph is a knight. So who is a knight and who is a knave?

Sofia Matthew Zoey Ava Riley Joseph Chloe

Sofia is a knight, Matthew is a knave, Zoey is a knight, Ava is a knight, Riley is a knight, Joseph is a knave, and Chloe is a knave.

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

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

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

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

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

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

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

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

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

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

Assume Ava is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph 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: Zoey, Daniel, Luke, Logan, Owen, Emma, and Jackson. In a statement by Zoey: "Luke is a knave". In a statement by Daniel: "Daniel is a knight if and only if Owen is a knave". According to Luke, "Daniel is a knight or Luke is a knight". Logan noted, "Jackson is a knave or Daniel is a knave". As Owen put it, "Emma is a knight and Logan is a knight". Emma told you that If Logan is a knight then Jackson is a knave. According to Jackson, "Logan is a knave". So who is a knight and who is a knave?

Zoey Daniel Luke Logan Owen Emma Jackson

Zoey is a knave, Daniel is a knight, Luke is a knight, Logan is a knave, Owen is a knave, Emma is a knight, and Jackson is a knight.

(1) Zoey is a knave
(2) Daniel is a knight
(3) Luke is a knight
(4) Logan is a knave
(5) Owen is a knave
(6) Emma is a knight
(7) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Jackson is a knight. No contradiction is found in their claim that Logan 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: Sebastian, Amelia, Sofia, Jack, Daniel, Emma, and Evelyn. Sebastian told you that Daniel is a knight if and only if Jack is a knight. Amelia said, "Daniel is a knave." Sofia expressed that Emma is a knight or Emma is a knave. According to Jack, "Emma is a knight if and only if Sofia is a knave". "If Evelyn is a knight then Jack is a knave," Daniel mentioned. Emma remarked, "Amelia is a knave or Daniel is a knight". Evelyn asserted: "Jack is a knight and Emma is a knight". So who is a knight and who is a knave?

Sebastian Amelia Sofia Jack Daniel Emma Evelyn

Sebastian is a knave, Amelia is a knave, Sofia is a knight, Jack is a knave, Daniel is a knight, Emma is a knight, and Evelyn is a knave.

(1) Sebastian is a knave
(2) Amelia is a knave
(3) Sofia is a knight
(4) Jack is a knave
(5) Daniel is a knight
(6) Emma is a knight
(7) Evelyn is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

We have exhausted all possibilities for Evelyn and 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 if and only if Jack is a knight.

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Emily, Harper, Aiden, David, Abigail, Joseph, and Jack. In a statement by Emily: "Harper is a knave and Jack is a knight". "David is not a knight," Harper mentioned. Aiden said, "Jack is a knave or Emily is a knave." "Emily is a knight or Jack is a knight," David claimed. Abigail stated, "If Jack is a knight then Aiden is a knave". "Jack is a knave if and only if David is a knave," Joseph claimed. Jack asserted: "If Abigail is a knight then Joseph is a knave". So who is a knight and who is a knave?

Emily Harper Aiden David Abigail Joseph Jack

Emily is a knave, Harper is a knight, Aiden is a knight, David is a knave, Abigail is a knight, Joseph is a knight, and Jack is a knave.

(1) Emily is a knave
(2) Harper is a knight
(3) Aiden is a knight
(4) David is a knave
(5) Abigail is a knight
(6) Joseph is a knight
(7) Jack is a knave

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

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

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

Assume David is a knight. No contradiction is found in their claim that Emily is a knight or Jack is a knight.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Samuel, Ava, Amelia, Benjamin, Aria, and Mia. "Ava is a knight and Amelia is a knave" - Olivia. Samuel said, "Benjamin is a knave." In Ava's words: "If Samuel is a knight then Olivia is a knave". Amelia said that Olivia is a knave or Aria is a knave. Benjamin noted, "Ava is a knave and Amelia is a knave". Aria remarked, "Ava is a knave". "Benjamin is a knight and Aria is a knave," Mia claimed. So who is a knight and who is a knave?

Olivia Samuel Ava Amelia Benjamin Aria Mia

Olivia is a knave, Samuel is a knight, Ava is a knight, Amelia is a knight, Benjamin is a knave, Aria is a knave, and Mia is a knave.

(1) Olivia is a knave
(2) Samuel is a knight
(3) Ava is a knight
(4) Amelia is a knight
(5) Benjamin is a knave
(6) Aria is a knave
(7) Mia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Mia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Aria 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: Matthew, Chloe, Alexander, Zoey, Noah, Ethan, and Sophia. "Ethan is a knave or Sophia is a knight," Matthew declared. Chloe commented, "Matthew is not a knave". "Noah is a knight and Noah is a knave" - Alexander. Zoey stated, "If Noah is a knight then Ethan is a knave". "If Matthew is a knight then Chloe is a knave" - Noah. Ethan remarked, "Matthew is not a knight". As Sophia put it, "Noah is a knight or Matthew is a knight". So who is a knight and who is a knave?

Matthew Chloe Alexander Zoey Noah Ethan Sophia

Matthew is a knight, Chloe is a knight, Alexander is a knave, Zoey is a knight, Noah is a knave, Ethan is a knave, and Sophia is a knight.

(1) Matthew is a knight
(2) Chloe is a knight
(3) Alexander is a knave
(4) Zoey is a knight
(5) Noah is a knave
(6) Ethan is a knave
(7) Sophia is a knight

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

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

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

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

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

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

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

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

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

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

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

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

Assume Zoey is a knight. No contradiction is found in their claim that If Noah is a knight 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: Abigail, Riley, Samuel, Sophia, Aria, Emma, and Owen. Abigail noted, "Emma is not a knave". Riley noted, "Sophia is a knave". "Aria is a knight if and only if Riley is a knave" - Samuel. "Emma is a knave and Riley is a knight," Sophia mentioned. "Owen is a knight if and only if Riley is a knave" - Aria. In Emma's words: "Abigail is a knight". In Owen's words: "Sophia is a knave". So who is a knight and who is a knave?

Abigail Riley Samuel Sophia Aria Emma Owen

Abigail is a knight, Riley is a knight, Samuel is a knight, Sophia is a knave, Aria is a knave, Emma is a knight, and Owen is a knight.

(1) Abigail is a knight
(2) Riley is a knight
(3) Samuel is a knight
(4) Sophia is a knave
(5) Aria is a knave
(6) Emma is a knight
(7) Owen is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Samuel, Aiden, Joseph, Riley, Alexander, and Zoey. "If Alexander is a knave then Zoey is a knight," Victoria claimed. As Samuel put it, "Aiden is a knave if and only if Riley is a knight". "If Zoey is a knave then Riley is a knave," Aiden claimed. Joseph noted, "Zoey is a knave". Riley stated, "Alexander is not a knave". Alexander told you that Riley is a knave or Alexander is a knight. According to Zoey, "Alexander is not a knight". So who is a knight and who is a knave?

Victoria Samuel Aiden Joseph Riley Alexander Zoey

Victoria is a knight, Samuel is a knight, Aiden is a knave, Joseph is a knight, Riley is a knight, Alexander is a knight, and Zoey is a knave.

(1) Victoria is a knight
(2) Samuel is a knight
(3) Aiden is a knave
(4) Joseph is a knight
(5) Riley is a knight
(6) Alexander is a knight
(7) Zoey is a knave

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Alexander, Aria, Grace, Aurora, Scarlett, Sofia, and Mason. Alexander said, "Grace is a knave or Scarlett is a knave." According to Aria, "Mason is a knight". "Aurora is a knave," Grace declared. "Grace is a knight and Sofia is a knight," Aurora mentioned. Scarlett said, "Scarlett is a knight or Mason is a knave." Sofia asserted: "Grace is a knight and Scarlett is a knight". Mason said, "Grace is not a knave." So who is a knight and who is a knave?

Alexander Aria Grace Aurora Scarlett Sofia Mason

Alexander is a knight, Aria is a knight, Grace is a knight, Aurora is a knave, Scarlett is a knave, Sofia is a knave, and Mason is a knight.

(1) Alexander is a knight
(2) Aria is a knight
(3) Grace is a knight
(4) Aurora is a knave
(5) Scarlett is a knave
(6) Sofia is a knave
(7) Mason is a knight

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Noah, Zoey, William, Isabella, Lily, and Oliver. Joseph noted, "If Isabella is a knight then Zoey is a knave". Noah commented, "Isabella is a knight if and only if Oliver is a knave". Zoey said that Isabella is not a knight. According to William, "If Zoey is a knave then Joseph is a knave". Isabella remarked, "Oliver is a knave and Zoey is a knave". Lily asserted: "William is a knight". Oliver was heard saying, "If Zoey is a knight then Isabella is a knave". So who is a knight and who is a knave?

Joseph Noah Zoey William Isabella Lily Oliver

Joseph is a knight, Noah is a knight, Zoey is a knight, William is a knight, Isabella is a knave, Lily is a knight, and Oliver is a knight.

(1) Joseph is a knight
(2) Noah is a knight
(3) Zoey is a knight
(4) William is a knight
(5) Isabella is a knave
(6) Lily is a knight
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, James, Ethan, Ava, Lucas, Penelope, and Amelia. According to Elizabeth, "James is a knave and James is a knight". James stated, "Ethan is a knight or Penelope is a knight". Ethan said that Ava is not a knave. Ava said, "Penelope is not a knight." Lucas noted, "James is a knave if and only if Penelope is a knave". Penelope said that Lucas is a knave and Elizabeth is a knight. Amelia remarked, "James is a knight and Ava is a knight". So who is a knight and who is a knave?

Elizabeth James Ethan Ava Lucas Penelope Amelia

Elizabeth is a knave, James is a knight, Ethan is a knight, Ava is a knight, Lucas is a knave, Penelope is a knave, and Amelia is a knight.

(1) Elizabeth is a knave
(2) James is a knight
(3) Ethan is a knight
(4) Ava is a knight
(5) Lucas is a knave
(6) Penelope is a knave
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

Assume Amelia is a knight. No contradiction is found in their claim that James is a knight and 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: Jackson, Grace, Logan, Jack, Emily, Emma, and William. Jackson asserted: "Emma is a knight if and only if William is a knave". Grace remarked, "If Jackson is a knight then Grace is a knight". Logan said, "Grace is not a knave." Jack noted, "Emma is a knight or William is a knave". Emily said that Jackson is a knight or Emma is a knave. Emma was heard saying, "If Grace is a knight then William is a knight". William said that Jack is a knave or Emma is a knave. So who is a knight and who is a knave?

Jackson Grace Logan Jack Emily Emma William

Jackson is a knight, Grace is a knave, Logan is a knave, Jack is a knight, Emily is a knight, Emma is a knight, and William is a knave.

(1) Jackson is a knight
(2) Grace is a knave
(3) Logan is a knave
(4) Jack is a knight
(5) Emily is a knight
(6) Emma is a knight
(7) William is a knave

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

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

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

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

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

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

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

Assume William is a knave. No contradiction is found in their false claim that Jack is a knave or Emma is a knave.

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

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

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

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