Translate the following inference to logic notation: For all x, x_6 will sleep if and only if x_6 will play a game. For all x, if x_6 sleeps, then x_6 is not reading a book. For all x, x_6 will read a book. Therefore for all x, x_6 will not play a game.
forall x: P(x) <-> Q(x). forall x: P(x) -> ~R(x). forall x: R(x). Therefore forall x: ~Q(x).