Translate the following inference to logic notation: For all x, x_11 will listen to a song or x_11 is poor. For all x, x_11 will play a game if and only if x_11 will listen to a song. For all x, x_11 will read a book. For all x, if x_11 were poor, then x_11 is playing a game. Therefore William is playing a game.
forall x: P(x) or Q(x). forall x: R(x) <-> P(x). forall x: S(x). forall x: Q(x) -> R(x). Therefore R(a).