Translate the following inference to logic notation: For all x, x_5 will play squash if and only if x_5 will cook. For all x, if x_5 listens to a song, then x_5 is playing a game. For all x, x_5 will listen to a song. For all x, if x_5 cooks, then x_5 is not playing a game. Therefore for all x, x_5 will not play squash.
forall x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: R(x). forall x: Q(x) -> ~S(x). Therefore forall x: ~P(x).