A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Sebastian, James, Ava, Lucas, Mia, and Penelope. Sebastian said, "If Sebastian is a knight then Penelope is a knight." In a statement by James: "Lucas is not a knight". Ava told you that If James is a knave then Mia is a knight. Lucas said, "Ava is a knave." Mia stated, "James is not a knave". Penelope noted, "Lucas is a knight and Penelope is a knight". So who is a knight and who is a knave?
Sebastian is a knight, James is a knave, Ava is a knave, Lucas is a knight, Mia is a knave, and Penelope is a knight.
(1) Sebastian is a knight
(2) James is a knave
(3) Ava is a knave
(4) Lucas is a knight
(5) Mia is a knave
(6) Penelope is a knight
Assume Sebastian is a knight. No contradiction is found in their claim that If Sebastian is a knight then Penelope is a knight. Assume Penelope is a knight. No contradiction is found in their claim that Lucas is a knight and Penelope is a knight. Assume Lucas is a knight. No contradiction is found in their claim that Ava is a knave. Ava cannot be a knight, because this would contradict the claim of Lucas that Ava is a knave. Assume Ava is a knave. No contradiction is found in their false claim that If James is a knave then Mia is a knight. James cannot be a knight, because this would contradict the claim of their own that Lucas is not a knight. Assume James is a knave. No contradiction is found in their false claim that Lucas is not a knight. Mia cannot be a knight, because this would contradict the false claim of Ava that If James is a knave then Mia is a knight. Assume Mia is a knave. No contradiction is found in their false claim that James is not a knave.