Translate the following inference to logic notation: For all x, if x_5 sleeps, then x_5 is playing a game. For all x, x_5 will sleep and x_5 is a carpenter. For all x, if x_5 plays a game, then x_5 is a bartender. Therefore for all x, x_5 is a bartender.
forall x: P(x) -> Q(x). forall x: P(x) and R(x). forall x: Q(x) -> S(x). Therefore forall x: S(x).