A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Penelope, Riley, Olivia, Liam, Emily, and Jackson. "If Riley is a knave then Olivia is a knave," Penelope claimed. In Riley's words: "If Liam is a knave then Penelope is a knight". Olivia told you that Liam is a knight and Penelope is a knave. "Riley is not a knave" - Liam. Emily said that Riley is a knave. Jackson said that Riley is not a knave. So who is a knight and who is a knave?
Penelope is a knight, Riley is a knight, Olivia is a knave, Liam is a knight, Emily is a knave, and Jackson is a knight.
(1) Penelope is a knight
(2) Riley is a knight
(3) Olivia is a knave
(4) Liam is a knight
(5) Emily is a knave
(6) Jackson is a knight
Assume Penelope is a knight. No contradiction is found in their claim that If Riley is a knave then Olivia is a knave. Assume Riley is a knight. No contradiction is found in their claim that If Liam is a knave then Penelope is a knight. Assume Liam is a knight. No contradiction is found in their claim that Riley is not a knave. Olivia cannot be a knight, because this would contradict the claim of their own that Liam is a knight and Penelope is a knave. Assume Olivia is a knave. No contradiction is found in their false claim that Liam is a knight and Penelope is a knave. Emily cannot be a knight, because this would contradict the claim of their own that Riley is a knave. Assume Emily is a knave. No contradiction is found in their false claim that Riley is a knave. Assume Jackson is a knight. No contradiction is found in their claim that Riley is not a knave.