A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Aria, Amelia, Emily, Elizabeth, Mason, and Jacob. "Jacob is a knight or Amelia is a knave," Aria declared. According to Amelia, "Elizabeth is not a knight". Emily expressed that Aria is a knight or Elizabeth is a knight. Elizabeth expressed that Mason is a knight or Jacob is a knave. Mason stated, "If Aria is a knight then Jacob is a knight". "If Emily is a knave then Aria is a knave," Jacob declared. So who is a knight and who is a knave?
Aria is a knight, Amelia is a knave, Emily is a knight, Elizabeth is a knight, Mason is a knight, and Jacob is a knight.
(1) Aria is a knight
(2) Amelia is a knave
(3) Emily is a knight
(4) Elizabeth is a knight
(5) Mason is a knight
(6) Jacob is a knight
Assume Aria is a knight. No contradiction is found in their claim that Jacob is a knight or Amelia is a knave. Assume Jacob is a knight. No contradiction is found in their claim that If Emily is a knave then Aria is a knave. Assume Emily is a knight. No contradiction is found in their claim that Aria is a knight or Elizabeth is a knight. Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight or Jacob is a knave. Assume Mason is a knight. No contradiction is found in their claim that If Aria is a knight then Jacob is a knight. Amelia cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight. Assume Amelia is a knave. No contradiction is found in their false claim that Elizabeth is not a knight.