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, Grace, Daniel, Sofia, Logan, Ella, and Alexander. As Elizabeth put it, "Daniel is a knight and Daniel is a knave". In a statement by Grace: "Sofia is a knave". Daniel told you that Alexander is a knight. In Sofia's words: "Elizabeth is not a knight". Logan remarked, "Sofia is a knight". Ella said that Grace is a knave if and only if Elizabeth is a knight. Alexander said, "Ella is a knight." So who is a knight and who is a knave?

Elizabeth Grace Daniel Sofia Logan Ella Alexander

Elizabeth is a knave, Grace is a knave, Daniel is a knave, Sofia is a knight, Logan is a knight, Ella is a knave, and Alexander is a knave.

(1) Elizabeth is a knave
(2) Grace is a knave
(3) Daniel is a knave
(4) Sofia is a knight
(5) Logan is a knight
(6) Ella is a knave
(7) Alexander is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

Joseph Logan Lily Sofia James Lucas Owen

Joseph is a knave, Logan is a knight, Lily is a knave, Sofia is a knight, James is a knight, Lucas is a knave, and Owen is a knight.

(1) Joseph is a knave
(2) Logan is a knight
(3) Lily is a knave
(4) Sofia is a knight
(5) James is a knight
(6) Lucas is a knave
(7) Owen is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume James is a knight. No contradiction is found in their claim that Lucas is a knight if and only if 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: Penelope, Noah, Lucas, Benjamin, Jackson, Lily, and Charlotte. Penelope was heard saying, "Lily is a knight or Penelope is a knight". According to Noah, "Charlotte is a knave and Jackson is a knave". Lucas said that Penelope is a knight. In a statement by Benjamin: "If Charlotte is a knave then Penelope is a knight". In a statement by Jackson: "Penelope is a knight or Lucas is a knave". As Lily put it, "Jackson is a knave if and only if Benjamin is a knave". Charlotte said that Jackson is a knight or Lucas is a knight. So who is a knight and who is a knave?

Penelope Noah Lucas Benjamin Jackson Lily Charlotte

Penelope is a knight, Noah is a knave, Lucas is a knight, Benjamin is a knight, Jackson is a knight, Lily is a knight, and Charlotte is a knight.

(1) Penelope is a knight
(2) Noah is a knave
(3) Lucas is a knight
(4) Benjamin is a knight
(5) Jackson is a knight
(6) Lily is a knight
(7) Charlotte is a knight

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

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

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

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

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

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

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

Assume Noah is a knave. No contradiction is found in their false claim that Charlotte is a knave and Jackson 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: Noah, Victoria, Logan, Sofia, Jack, Evelyn, and Grace. Noah said, "Logan is a knight." Victoria said, "Noah is a knave and Grace is a knight." In a statement by Logan: "Victoria is a knight or Victoria is a knave". Sofia expressed that Noah is a knave if and only if Grace is a knave. "Victoria is a knight and Noah is a knave," Jack declared. Evelyn stated, "Jack is a knave or Logan is a knight". "Noah is a knight or Logan is a knight" - Grace. So who is a knight and who is a knave?

Noah Victoria Logan Sofia Jack Evelyn Grace

Noah is a knight, Victoria is a knave, Logan is a knight, Sofia is a knight, Jack is a knave, Evelyn is a knight, and Grace is a knight.

(1) Noah is a knight
(2) Victoria is a knave
(3) Logan is a knight
(4) Sofia is a knight
(5) Jack is a knave
(6) Evelyn is a knight
(7) Grace is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Olivia, Lucas, Isabella, Emma, Daniel, Aurora, and Ella. Olivia said, "Daniel is a knight." As Lucas put it, "Isabella is not a knave". Isabella stated, "Ella is a knave". Emma commented, "Olivia is a knight or Lucas is a knave". As Daniel put it, "Aurora is a knight and Daniel is a knight". Aurora noted, "Aurora is a knight and Lucas is a knight". According to Ella, "Aurora is a knight or Olivia is a knight". So who is a knight and who is a knave?

Olivia Lucas Isabella Emma Daniel Aurora Ella

Olivia is a knave, Lucas is a knight, Isabella is a knight, Emma is a knave, Daniel is a knave, Aurora is a knave, and Ella is a knave.

(1) Olivia is a knave
(2) Lucas is a knight
(3) Isabella is a knight
(4) Emma is a knave
(5) Daniel is a knave
(6) Aurora is a knave
(7) Ella is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Logan, Sebastian, Benjamin, Grace, Ava, Michael, and Isabella. In a statement by Logan: "Ava is not a knave". Sebastian stated, "Grace is a knight or Benjamin is a knight". Benjamin said, "Logan is a knave or Michael is a knight." Grace expressed that Isabella is a knave. Ava said, "If Ava is a knight then Michael is a knight." Michael said that Benjamin is not a knave. As Isabella put it, "If Isabella is a knight then Grace is a knave". So who is a knight and who is a knave?

Logan Sebastian Benjamin Grace Ava Michael Isabella

Logan is a knight, Sebastian is a knight, Benjamin is a knight, Grace is a knave, Ava is a knight, Michael is a knight, and Isabella is a knight.

(1) Logan is a knight
(2) Sebastian is a knight
(3) Benjamin is a knight
(4) Grace is a knave
(5) Ava is a knight
(6) Michael is a knight
(7) Isabella is a knight

Assume Logan 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 If Ava is a knight then Michael is a knight.

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Jackson, Victoria, Zoey, Aiden, Daniel, and Henry. Lily said that Aiden is a knave or Daniel is a knight. "Victoria is a knight if and only if Daniel is a knight," Jackson declared. "Zoey is a knight or Henry is a knight," Victoria mentioned. Zoey was heard saying, "Zoey is a knight and Henry is a knight". Aiden was heard saying, "Lily is not a knave". In Daniel's words: "Lily is a knight if and only if Daniel is a knight". Henry remarked, "Lily is not a knight". So who is a knight and who is a knave?

Lily Jackson Victoria Zoey Aiden Daniel Henry

Lily is a knight, Jackson is a knave, Victoria is a knave, Zoey is a knave, Aiden is a knight, Daniel is a knight, and Henry is a knave.

(1) Lily is a knight
(2) Jackson is a knave
(3) Victoria is a knave
(4) Zoey is a knave
(5) Aiden is a knight
(6) Daniel is a knight
(7) Henry is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(('or', ('lying', 4), ('telling-truth', 5)), ('<=>', ('telling-truth', 2), ('telling-truth', 5)), ('or', ('telling-truth', 3), ('telling-truth', 6)), ('and', ('telling-truth', 3), ('telling-truth', 6)), ('not', ('lying', 0)), ('<=>', ('telling-truth', 0), ('telling-truth', 5)), ('not', ('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: Ava, Sophia, Elizabeth, Avery, Isabella, Chloe, and Joseph. "Avery is a knight if and only if Joseph is a knave," Ava claimed. Sophia stated, "Elizabeth is not a knave". According to Elizabeth, "Avery is not a knave". In Avery's words: "If Joseph is a knight then Sophia is a knight". "Chloe is a knave or Ava is a knight," Isabella declared. Chloe was heard saying, "If Sophia is a knight then Avery is a knave". Joseph noted, "Chloe is a knave if and only if Elizabeth is a knave". So who is a knight and who is a knave?

Ava Sophia Elizabeth Avery Isabella Chloe Joseph

Ava is a knight, Sophia is a knight, Elizabeth is a knight, Avery is a knight, Isabella is a knight, Chloe is a knave, and Joseph is a knave.

(1) Ava is a knight
(2) Sophia is a knight
(3) Elizabeth is a knight
(4) Avery is a knight
(5) Isabella is a knight
(6) Chloe is a knave
(7) Joseph is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Isabella is a knight. No contradiction is found in their claim that Chloe is a knave or 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: Avery, Aria, Benjamin, Joseph, Victoria, Alexander, and Emily. Avery told you that Joseph is a knave. In a statement by Aria: "If Emily is a knave then Victoria is a knight". In Benjamin's words: "Aria is not a knight". Joseph remarked, "Emily is a knave or Avery is a knight". "If Alexander is a knight then Avery is a knight," Victoria declared. Alexander said, "Victoria is a knight if and only if Avery is a knight." Emily said, "Benjamin is a knave." So who is a knight and who is a knave?

Avery Aria Benjamin Joseph Victoria Alexander Emily

Avery is a knave, Aria is a knave, Benjamin is a knight, Joseph is a knight, Victoria is a knave, Alexander is a knight, and Emily is a knave.

(1) Avery is a knave
(2) Aria is a knave
(3) Benjamin is a knight
(4) Joseph is a knight
(5) Victoria is a knave
(6) Alexander is a knight
(7) Emily is a knave

Assume Avery 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 Avery that Joseph is a knave.

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

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

Assume Avery 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 Emily is a knave or Avery is a knight.

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

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

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

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

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

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

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

Assume Alexander is a knight. No contradiction is found in their claim that Victoria is a knight if and only if Avery 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, Jackson, Penelope, Isabella, Avery, Lily, and Harper. Sophia commented, "Isabella is a knight if and only if Lily is a knight". Jackson asserted: "Sophia is a knave or Harper is a knave". Penelope asserted: "Jackson is a knave and Harper is a knave". As Isabella put it, "Sophia is a knave if and only if Jackson is a knave". Avery expressed that Sophia is a knight. Lily asserted: "If Isabella is a knave then Isabella is a knight". Harper said, "If Jackson is a knight then Lily is a knight." So who is a knight and who is a knave?

Sophia Jackson Penelope Isabella Avery Lily Harper

Sophia is a knight, Jackson is a knave, Penelope is a knave, Isabella is a knave, Avery is a knight, Lily is a knave, and Harper is a knight.

(1) Sophia is a knight
(2) Jackson is a knave
(3) Penelope is a knave
(4) Isabella is a knave
(5) Avery is a knight
(6) Lily is a knave
(7) Harper is a knight

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

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

Assume Jackson is a knight. No contradiction is found in their claim that Sophia is a knave or Harper is a knave.

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

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

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

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

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

Jackson cannot be a knave, because this would contradict the claim of Isabella that Sophia is a knave if and only if Jackson is a knave.

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

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

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

Assume Jackson is a knave. No contradiction is found in their false claim that Sophia is a knave or Harper is a knave.

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Luke, Harper, Elizabeth, Charlotte, Aria, and Logan. Avery told you that If Aria is a knave then Elizabeth is a knave. "Harper is a knave and Aria is a knave," Luke claimed. "If Luke is a knight then Elizabeth is a knave," Harper declared. Elizabeth told you that Logan is not a knave. Charlotte remarked, "If Luke is a knave then Avery is a knight". Aria told you that Elizabeth is a knight. "Charlotte is not a knave," Logan claimed. So who is a knight and who is a knave?

Avery Luke Harper Elizabeth Charlotte Aria Logan

Avery is a knight, Luke is a knave, Harper is a knight, Elizabeth is a knight, Charlotte is a knight, Aria is a knight, and Logan is a knight.

(1) Avery is a knight
(2) Luke is a knave
(3) Harper is a knight
(4) Elizabeth is a knight
(5) Charlotte is a knight
(6) Aria is a knight
(7) Logan is a knight

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

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

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

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

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

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

Assume Luke is a knave. No contradiction is found in their false claim that Harper is a knave and Aria is a knave.

Assume Harper is a knight. No contradiction is found in their claim that If Luke is a knight then Elizabeth 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, Emma, Sofia, Harper, Lily, Aria, and Jackson. According to Emily, "Lily is a knave or Emily is a knight". In a statement by Emma: "Emily is not a knight". Sofia noted, "Emily is a knave and Emma is a knight". Harper commented, "Jackson is a knight or Aria is a knight". Lily asserted: "Emma is not a knave". As Aria put it, "Harper is a knave if and only if Harper is a knight". In Jackson's words: "If Emily is a knave then Harper is a knave". So who is a knight and who is a knave?

Emily Emma Sofia Harper Lily Aria Jackson

Emily is a knight, Emma is a knave, Sofia is a knave, Harper is a knight, Lily is a knave, Aria is a knave, and Jackson is a knight.

(1) Emily is a knight
(2) Emma is a knave
(3) Sofia is a knave
(4) Harper is a knight
(5) Lily is a knave
(6) Aria is a knave
(7) Jackson is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Elizabeth, Lily, Sophia, Owen, Jack, Alexander, and Aurora. As Elizabeth put it, "Lily is not a knave". Lily said, "Aurora is a knight." Sophia said, "Jack is a knight and Aurora is a knight." Owen told you that Aurora is a knight if and only if Alexander is a knight. In Jack's words: "Sophia is a knight and Alexander is a knight". Alexander told you that If Owen is a knight then Elizabeth is a knave. As Aurora put it, "If Jack is a knave then Owen is a knight". So who is a knight and who is a knave?

Elizabeth Lily Sophia Owen Jack Alexander Aurora

Elizabeth is a knave, Lily is a knave, Sophia is a knave, Owen is a knave, Jack is a knave, Alexander is a knight, and Aurora is a knave.

(1) Elizabeth is a knave
(2) Lily is a knave
(3) Sophia is a knave
(4) Owen is a knave
(5) Jack is a knave
(6) Alexander is a knight
(7) Aurora is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, James, Penelope, Isabella, Sebastian, Jackson, and Elizabeth. Lily remarked, "If James is a knave then Isabella is a knight". James asserted: "Isabella is a knave if and only if Jackson is a knight". According to Penelope, "Isabella is a knight if and only if James is a knave". In Isabella's words: "Jackson is not a knight". As Sebastian put it, "Elizabeth is not a knave". In Jackson's words: "If Penelope is a knight then Sebastian is a knave". Elizabeth expressed that Isabella is a knave if and only if Elizabeth is a knight. So who is a knight and who is a knave?

Lily James Penelope Isabella Sebastian Jackson Elizabeth

Lily is a knight, James is a knight, Penelope is a knight, Isabella is a knave, Sebastian is a knave, Jackson is a knight, and Elizabeth is a knave.

(1) Lily is a knight
(2) James is a knight
(3) Penelope is a knight
(4) Isabella is a knave
(5) Sebastian is a knave
(6) Jackson is a knight
(7) Elizabeth is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Elizabeth is a knave. No contradiction is found in their false claim that Isabella is a knave if and only if Elizabeth 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: Logan, Lucas, William, Abigail, Liam, Ethan, and Amelia. In a statement by Logan: "Liam is not a knave". In Lucas's words: "Liam is a knight if and only if Logan is a knight". William said that William is a knight or Lucas is a knight. Abigail told you that Amelia is a knight and Ethan is a knight. Liam noted, "Ethan is not a knight". Ethan noted, "Logan is a knight if and only if Ethan is a knight". "Liam is a knave or Logan is a knight," Amelia declared. So who is a knight and who is a knave?

Logan Lucas William Abigail Liam Ethan Amelia

Logan is a knight, Lucas is a knight, William is a knight, Abigail is a knave, Liam is a knight, Ethan is a knave, and Amelia is a knight.

(1) Logan is a knight
(2) Lucas is a knight
(3) William is a knight
(4) Abigail is a knave
(5) Liam is a knight
(6) Ethan is a knave
(7) Amelia is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Emma, Ethan, Samuel, Harper, Isabella, and Alexander. According to Avery, "Alexander is a knave if and only if Isabella is a knave". Emma commented, "Avery is not a knight". In Ethan's words: "Harper is a knave or Emma is a knight". Samuel commented, "Alexander is a knave or Avery is a knight". Harper asserted: "Alexander is a knight or Emma is a knave". Isabella was heard saying, "Ethan is not a knave". Alexander noted, "Isabella is a knight". So who is a knight and who is a knave?

Avery Emma Ethan Samuel Harper Isabella Alexander

Avery is a knight, Emma is a knave, Ethan is a knave, Samuel is a knight, Harper is a knight, Isabella is a knave, and Alexander is a knave.

(1) Avery is a knight
(2) Emma is a knave
(3) Ethan is a knave
(4) Samuel is a knight
(5) Harper is a knight
(6) Isabella is a knave
(7) Alexander is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Olivia, Amelia, Ava, Aria, Scarlett, and Benjamin. Avery said, "If Ava is a knave then Avery is a knight." Olivia remarked, "Amelia is not a knight". Amelia told you that If Aria is a knight then Benjamin is a knave. Ava told you that Aria is not a knight. According to Aria, "Olivia is a knight or Amelia is a knave". Scarlett said that Benjamin is a knave if and only if Aria is a knight. Benjamin was heard saying, "Olivia is a knave and Avery is a knight". So who is a knight and who is a knave?

Avery Olivia Amelia Ava Aria Scarlett Benjamin

Avery is a knight, Olivia is a knave, Amelia is a knight, Ava is a knight, Aria is a knave, Scarlett is a knight, and Benjamin is a knight.

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Alexander, Ava, Luke, Lucas, James, and Ella. Michael said that Lucas is a knave and Lucas is a knight. "Ava is a knight and James is a knave" - Alexander. "Luke is a knight if and only if Ella is a knave," Ava claimed. "Lucas is a knave and Michael is a knight," Luke mentioned. "Michael is a knight," Lucas mentioned. James noted, "If Ella is a knight then James is a knight". According to Ella, "James is a knight or Ava is a knave". So who is a knight and who is a knave?

Michael Alexander Ava Luke Lucas James Ella

Michael is a knave, Alexander is a knave, Ava is a knight, Luke is a knave, Lucas is a knave, James is a knight, and Ella is a knight.

(1) Michael is a knave
(2) Alexander is a knave
(3) Ava is a knight
(4) Luke is a knave
(5) Lucas is a knave
(6) James is a knight
(7) Ella is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jackson, Aiden, Abigail, Scarlett, Logan, and Ella. Daniel was heard saying, "Ella is a knave and Logan is a knave". In Jackson's words: "If Aiden is a knave then Ella is a knave". Aiden was heard saying, "Aiden is a knight if and only if Logan is a knave". Abigail noted, "Logan is not a knave". Scarlett said that Ella is a knave. "Jackson is a knight or Daniel is a knight," Logan claimed. "If Daniel is a knight then Jackson is a knight," Ella declared. So who is a knight and who is a knave?

Daniel Jackson Aiden Abigail Scarlett Logan Ella

Daniel is a knave, Jackson is a knave, Aiden is a knave, Abigail is a knave, Scarlett is a knave, Logan is a knave, and Ella is a knight.

(1) Daniel is a knave
(2) Jackson is a knave
(3) Aiden is a knave
(4) Abigail is a knave
(5) Scarlett is a knave
(6) Logan is a knave
(7) Ella is a knight

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

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

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

Jackson cannot be a knight, because this would contradict the false claim of Ella that If Daniel is a knight then Jackson is a knight.

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

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

Assume Daniel is a knave. No contradiction is found in their false claim that Ella is a knave and Logan is a knave.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

Evelyn Alexander Sofia Henry Jacob Ethan Aria

Evelyn is a knight, Alexander is a knave, Sofia is a knight, Henry is a knave, Jacob is a knave, Ethan is a knave, and Aria is a knave.

(1) Evelyn is a knight
(2) Alexander is a knave
(3) Sofia is a knight
(4) Henry is a knave
(5) Jacob is a knave
(6) Ethan is a knave
(7) Aria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Ethan is a knave. No contradiction is found in their false claim that Henry is a knight and Jacob 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, Scarlett, Amelia, Aria, Jacob, Logan, and Noah. Elizabeth said that Scarlett is a knave. "If Noah is a knave then Amelia is a knight" - Scarlett. Amelia said that Aria is not a knave. Aria said, "Elizabeth is a knight and Aria is a knight." Jacob said, "Elizabeth is a knave if and only if Elizabeth is a knight." In a statement by Logan: "Jacob is not a knight". Noah said, "Logan is a knave." So who is a knight and who is a knave?

Elizabeth Scarlett Amelia Aria Jacob Logan Noah

Elizabeth is a knight, Scarlett is a knave, Amelia is a knave, Aria is a knave, Jacob is a knave, Logan is a knight, and Noah is a knave.

(1) Elizabeth is a knight
(2) Scarlett is a knave
(3) Amelia is a knave
(4) Aria is a knave
(5) Jacob is a knave
(6) Logan is a knight
(7) Noah is a knave

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, David, Logan, Noah, Penelope, Benjamin, and Sophia. In a statement by Lily: "David is a knight". David commented, "Logan is a knight or Sophia is a knave". In Logan's words: "Sophia is a knight and Lily is a knave". Noah said, "Lily is a knight and Benjamin is a knight." According to Penelope, "If Noah is a knight then Sophia is a knave". "Noah is not a knave" - Benjamin. Sophia commented, "If Penelope is a knight then Benjamin is a knight". So who is a knight and who is a knave?

Lily David Logan Noah Penelope Benjamin Sophia

Lily is a knight, David is a knight, Logan is a knave, Noah is a knave, Penelope is a knight, Benjamin is a knave, and Sophia is a knave.

(1) Lily is a knight
(2) David is a knight
(3) Logan is a knave
(4) Noah is a knave
(5) Penelope is a knight
(6) Benjamin is a knave
(7) Sophia is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Noah, Samuel, Evelyn, Luke, Lucas, Jackson, and Mason. Noah asserted: "Evelyn is a knight". In Samuel's words: "Lucas is not a knight". As Evelyn put it, "Jackson is a knight or Mason is a knight". "If Jackson is a knave then Samuel is a knight," Luke claimed. Lucas noted, "Noah is not a knave". Jackson was heard saying, "Evelyn is a knight or Evelyn is a knave". "Samuel is a knight," Mason declared. So who is a knight and who is a knave?

Noah Samuel Evelyn Luke Lucas Jackson Mason

Noah is a knight, Samuel is a knave, Evelyn is a knight, Luke is a knight, Lucas is a knight, Jackson is a knight, and Mason is a knave.

(1) Noah is a knight
(2) Samuel is a knave
(3) Evelyn is a knight
(4) Luke is a knight
(5) Lucas is a knight
(6) Jackson is a knight
(7) Mason is a knave

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

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

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

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

Assume Samuel 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 Samuel that Lucas is not a knight.

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

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

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

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

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

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

Assume Samuel 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 Noah is not a knave.

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Isabella, Daniel, Sophia, Scarlett, Joseph, Emma, and Victoria. Isabella commented, "Daniel is not a knight". Daniel remarked, "Isabella is a knave and Victoria is a knight". Sophia commented, "Isabella is a knave or Emma is a knight". Scarlett said that Emma is a knight or Sophia is a knight. Joseph said that If Victoria is a knave then Sophia is a knight. Emma asserted: "Victoria is a knave or Scarlett is a knave". Victoria commented, "Joseph is a knave if and only if Sophia is a knight". So who is a knight and who is a knave?

Isabella Daniel Sophia Scarlett Joseph Emma Victoria

Isabella is a knight, Daniel is a knave, Sophia is a knight, Scarlett is a knight, Joseph is a knight, Emma is a knight, and Victoria is a knave.

(1) Isabella is a knight
(2) Daniel is a knave
(3) Sophia is a knight
(4) Scarlett is a knight
(5) Joseph is a knight
(6) Emma is a knight
(7) Victoria is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Zoey, Jacob, Ella, Chloe, Ethan, Luke, and Lily. "Chloe is a knight or Chloe is a knave," Zoey claimed. Jacob remarked, "Ethan is a knave". Ella said that Jacob is a knight and Lily is a knight. "Lily is not a knight," Chloe claimed. Ethan commented, "Chloe is not a knight". "Ella is not a knight," Luke claimed. Lily noted, "Luke is a knight and Zoey is a knave". So who is a knight and who is a knave?

Zoey is a knight, Jacob is a knight, Ella is a knave, Chloe is a knight, Ethan is a knave, Luke is a knight, and Lily is a knave.

(1) Zoey is a knight
(2) Jacob is a knight
(3) Ella is a knave
(4) Chloe is a knight
(5) Ethan is a knave
(6) Luke is a knight
(7) Lily is a knave

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

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

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

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

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

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

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

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

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

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

(('or', ('telling-truth', 3), ('lying', 3)), ('lying', 4), ('and', ('telling-truth', 1), ('telling-truth', 6)), ('not', ('telling-truth', 6)), ('not', ('telling-truth', 3)), ('not', ('telling-truth', 2)), ('and', ('telling-truth', 5), ('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: Jackson, Mia, Abigail, Benjamin, Harper, Oliver, and Emily. Jackson said, "Harper is a knight if and only if Jackson is a knight." According to Mia, "Harper is a knave or Emily is a knight". "Jackson is a knave," Abigail claimed. Benjamin said that Jackson is a knight and Jackson is a knave. In Harper's words: "Jackson is not a knave". "If Abigail is a knave then Mia is a knave," Oliver mentioned. Emily expressed that Benjamin is a knight. So who is a knight and who is a knave?

Jackson Mia Abigail Benjamin Harper Oliver Emily

Jackson is a knight, Mia is a knave, Abigail is a knave, Benjamin is a knave, Harper is a knight, Oliver is a knight, and Emily is a knave.

(1) Jackson is a knight
(2) Mia is a knave
(3) Abigail is a knave
(4) Benjamin is a knave
(5) Harper is a knight
(6) Oliver is a knight
(7) Emily is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lucas, Sebastian, Benjamin, Jacob, Emma, Lily, and Michael. In a statement by Lucas: "Lily is a knave or Michael is a knave". Sebastian was heard saying, "If Lucas is a knight then Lily is a knave". Benjamin told you that Lucas is a knight or Benjamin is a knight. Jacob stated, "Michael is not a knave". Emma was heard saying, "Jacob is a knight if and only if Lily is a knight". "Emma is not a knight," Lily declared. Michael expressed that Emma is not a knave. So who is a knight and who is a knave?

Lucas Sebastian Benjamin Jacob Emma Lily Michael

Lucas is a knight, Sebastian is a knave, Benjamin is a knight, Jacob is a knave, Emma is a knave, Lily is a knight, and Michael is a knave.

(1) Lucas is a knight
(2) Sebastian is a knave
(3) Benjamin is a knight
(4) Jacob is a knave
(5) Emma is a knave
(6) Lily is a knight
(7) Michael is a knave

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Lily, Emma, Harper, Chloe, Ethan, and Logan. Joseph asserted: "Harper is a knight and Harper is a knave". In a statement by Lily: "Harper is a knight". "Joseph is not a knave," Emma declared. In Harper's words: "Chloe is a knight". Chloe noted, "If Lily is a knave then Emma is a knave". In a statement by Ethan: "Joseph is a knight and Logan is a knave". Logan said that Ethan is a knave. So who is a knight and who is a knave?

Joseph Lily Emma Harper Chloe Ethan Logan

Joseph is a knave, Lily is a knight, Emma is a knave, Harper is a knight, Chloe is a knight, Ethan is a knave, and Logan is a knight.

(1) Joseph is a knave
(2) Lily is a knight
(3) Emma is a knave
(4) Harper is a knight
(5) Chloe is a knight
(6) Ethan is a knave
(7) Logan is a knight

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, Joseph, Grace, Aurora, Sophia, Chloe, and Liam. Aiden said that Liam is a knave if and only if Joseph is a knave. "If Grace is a knave then Liam is a knave," Joseph mentioned. According to Grace, "Sophia is a knave". Aurora said that If Aiden is a knave then Grace is a knight. Sophia asserted: "Chloe is a knave if and only if Aiden is a knight". "Grace is not a knight," Chloe mentioned. According to Liam, "Aurora is not a knave". So who is a knight and who is a knave?

Aiden Joseph Grace Aurora Sophia Chloe Liam

Aiden is a knave, Joseph is a knight, Grace is a knave, Aurora is a knave, Sophia is a knight, Chloe is a knight, and Liam is a knave.

(1) Aiden is a knave
(2) Joseph is a knight
(3) Grace is a knave
(4) Aurora is a knave
(5) Sophia is a knight
(6) Chloe is a knight
(7) Liam is a knave

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

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

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

Assume Grace 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 Grace that Sophia is a knave.

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

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

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

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

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

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

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

Chloe 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 Chloe, so let us go back and reconsider Sophia.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Assume Joseph is a knight. No contradiction is found in their claim that If Grace is a knave then Liam 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: James, Joseph, Ella, Mason, Daniel, Olivia, and Sophia. James said, "Sophia is not a knight." Joseph said that Mason is not a knave. In a statement by Ella: "Sophia is a knave if and only if James is a knight". Mason asserted: "Olivia is a knight". Daniel expressed that Mason is a knave if and only if Ella is a knave. Olivia was heard saying, "Joseph is a knight or Ella is a knight". Sophia was heard saying, "Mason is a knight if and only if Mason is a knave". So who is a knight and who is a knave?

James Joseph Ella Mason Daniel Olivia Sophia

James is a knight, Joseph is a knight, Ella is a knight, Mason is a knight, Daniel is a knight, Olivia is a knight, and Sophia is a knave.

(1) James is a knight
(2) Joseph is a knight
(3) Ella is a knight
(4) Mason is a knight
(5) Daniel is a knight
(6) Olivia is a knight
(7) Sophia is a knave

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Ava, Owen, Noah, Aria, Liam, Matthew, and Joseph. Ava commented, "Liam is not a knave". Owen expressed that Ava is not a knave. Noah told you that Joseph is a knight. In a statement by Aria: "Liam is not a knight". "If Owen is a knave then Aria is a knight" - Liam. "Ava is a knight or Joseph is a knight," Matthew mentioned. Joseph asserted: "Liam is not a knight". So who is a knight and who is a knave?

Ava is a knight, Owen is a knight, Noah is a knave, Aria is a knave, Liam is a knight, Matthew is a knight, and Joseph is a knave.

(1) Ava is a knight
(2) Owen is a knight
(3) Noah is a knave
(4) Aria is a knave
(5) Liam is a knight
(6) Matthew is a knight
(7) Joseph is a knave

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

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

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

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

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

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

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

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

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

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

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

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

Assume Matthew is a knight. No contradiction is found in their claim that Ava is a knight or Joseph is a knight.


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Scarlett, Jackson, Luke, Victoria, Henry, Zoey, and Lily. "Henry is a knave and Luke is a knight" - Scarlett. As Jackson put it, "If Luke is a knight then Luke is a knave". "Lily is a knight or Victoria is a knave" - Luke. According to Victoria, "Lily is not a knave". "If Luke is a knave then Victoria is a knight," Henry claimed. "Henry is a knave and Luke is a knave," Zoey claimed. "If Scarlett is a knave then Luke is a knight," Lily declared. So who is a knight and who is a knave?

Scarlett Jackson Luke Victoria Henry Zoey Lily

Scarlett is a knave, Jackson is a knave, Luke is a knight, Victoria is a knight, Henry is a knight, Zoey is a knave, and Lily is a knight.

(1) Scarlett is a knave
(2) Jackson is a knave
(3) Luke is a knight
(4) Victoria is a knight
(5) Henry is a knight
(6) Zoey is a knave
(7) Lily is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Joseph, Charlotte, Logan, Sebastian, Lucas, Emily, and Alexander. Joseph remarked, "Lucas is not a knave". According to Charlotte, "Sebastian is a knight". Logan stated, "Sebastian is a knight if and only if Alexander is a knight". According to Sebastian, "Alexander is not a knight". As Lucas put it, "Logan is a knave". "Alexander is a knight," Emily mentioned. Alexander expressed that If Logan is a knave then Lucas is a knave. So who is a knight and who is a knave?

Joseph Charlotte Logan Sebastian Lucas Emily Alexander

Joseph is a knight, Charlotte is a knight, Logan is a knave, Sebastian is a knight, Lucas is a knight, Emily is a knave, and Alexander is a knave.

(1) Joseph is a knight
(2) Charlotte is a knight
(3) Logan is a knave
(4) Sebastian is a knight
(5) Lucas is a knight
(6) Emily is a knave
(7) Alexander is a knave

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Olivia, Penelope, Matthew, Chloe, Jack, and Luke. In a statement by James: "Chloe is a knave and Luke is a knight". "James is a knight or Luke is a knave" - Olivia. Penelope said, "Luke is a knight." In Matthew's words: "Jack is a knave or James is a knave". Chloe remarked, "If Olivia is a knave then James is a knave". "James is a knight" - Jack. Luke told you that Jack is a knight if and only if Jack is a knave. So who is a knight and who is a knave?

James Olivia Penelope Matthew Chloe Jack Luke

James is a knave, Olivia is a knight, Penelope is a knave, Matthew is a knight, Chloe is a knight, Jack is a knave, and Luke is a knave.

(1) James is a knave
(2) Olivia is a knight
(3) Penelope is a knave
(4) Matthew is a knight
(5) Chloe is a knight
(6) Jack is a knave
(7) Luke is a knave

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Ella, Elizabeth, Jacob, Mia, Charlotte, and Liam. Michael commented, "Liam is a knave or Jacob is a knight". Ella told you that If Jacob is a knight then Liam is a knave. Elizabeth expressed that Charlotte is a knave. In Jacob's words: "Liam is a knight". "Michael is a knight or Ella is a knave," Mia claimed. Charlotte said, "If Jacob is a knave then Jacob is a knight." Liam noted, "If Charlotte is a knight then Ella is a knave". So who is a knight and who is a knave?

Michael Ella Elizabeth Jacob Mia Charlotte Liam

Michael is a knight, Ella is a knave, Elizabeth is a knave, Jacob is a knight, Mia is a knight, Charlotte is a knight, and Liam is a knight.

(1) Michael is a knight
(2) Ella is a knave
(3) Elizabeth is a knave
(4) Jacob is a knight
(5) Mia is a knight
(6) Charlotte is a knight
(7) Liam is a knight

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

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

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

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

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

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

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

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

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


A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Victoria, Aiden, Daniel, Sofia, Evelyn, Abigail, and Oliver. Victoria said, "Oliver is a knave." In a statement by Aiden: "If Sofia is a knight then Victoria is a knave". Daniel told you that Oliver is a knave and Sofia is a knave. Sofia stated, "If Daniel is a knight then Victoria is a knight". Evelyn remarked, "Oliver is a knave if and only if Victoria is a knave". Abigail said that Sofia is a knight and Daniel is a knave. "Victoria is a knight or Daniel is a knave," Oliver mentioned. So who is a knight and who is a knave?

Victoria Aiden Daniel Sofia Evelyn Abigail Oliver

Victoria is a knave, Aiden is a knight, Daniel is a knave, Sofia is a knight, Evelyn is a knave, Abigail is a knight, and Oliver is a knight.

(1) Victoria is a knave
(2) Aiden is a knight
(3) Daniel is a knave
(4) Sofia is a knight
(5) Evelyn is a knave
(6) Abigail is a knight
(7) Oliver is a knight

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

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

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

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

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

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

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

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

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

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

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

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

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