Translate the following inference to logic notation: For all x, x_4 is not a nurse. For all x, x_4 will play squash if and only if x_4 is a nurse. For all x, x_4 will play squash or x_4 will play a game. Therefore for all x, x_4 will play a game.
forall x: ~P(x). forall x: Q(x) <-> P(x). forall x: Q(x) or R(x). Therefore forall x: R(x).