 CHAR: Right before he asks Dodd about the "third exit", Winn shows  him how to win the chess game that he is studying. First of all, the  position on the board is totally different than the one printed on  the paper Dodd gives him. Whats more, any chess player would agree  that his solution is ridiculous: blacks last move (rook to e8)  simply allows white to deliver a rather obvious mate in g7 when  there were several ways to avoid it. Its impossible that an avid  chess player like Dodd would not notice such a bold mistake, let  alone qualify whites play as incredibly brilliant.