A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Samuel, Ella, Elizabeth, Noah, Aria, and Emily. "If Aria is a knave then Noah is a knave," Samuel mentioned. "Samuel is not a knave," Ella claimed. Elizabeth expressed that Aria is a knave or Samuel is a knight. "Ella is a knight if and only if Samuel is a knight," Noah declared. Aria expressed that Noah is a knight or Ella is a knight. Emily stated, "Noah is not a knave". So who is a knight and who is a knave?
Samuel is a knight, Ella is a knight, Elizabeth is a knight, Noah is a knight, Aria is a knight, and Emily is a knight.
(1) Samuel is a knight
(2) Ella is a knight
(3) Elizabeth is a knight
(4) Noah is a knight
(5) Aria is a knight
(6) Emily is a knight
Assume Samuel is a knight. No contradiction is found in their claim that If Aria is a knave then Noah is a knave. Assume Aria is a knight. No contradiction is found in their claim that Noah is a knight or Ella is a knight. Assume Noah is a knight. No contradiction is found in their claim that Ella is a knight if and only if Samuel is a knight. Assume Ella is a knight. No contradiction is found in their claim that Samuel is not a knave. Assume Elizabeth is a knight. No contradiction is found in their claim that Aria is a knave or Samuel is a knight. Assume Emily is a knight. No contradiction is found in their claim that Noah is not a knave.