Translate the following inference to logic notation: For all x, if x_5 plays a game, then x_5 is rich. For all x, x_5 will play a game or x_5 will listen to a song. For all x, x_5 is a cashier. For all x, if x_5 were a cashier, then x_5 is bored. For all x, if x_5 listens to a song, then x_5 is rich. Therefore for all x, x_5 is rich and x_5 is bored.
forall x: P(x) -> Q(x). forall x: P(x) or R(x). forall x: S(x). forall x: S(x) -> T(x). forall x: R(x) -> Q(x). Therefore forall x: Q(x) and T(x).