Translate the following inference to logic notation: For all x, if x_5 goes running, then x_5 is an astronaut. For all x, if x_5 plays a game, then x_5 is a lawyer. For all x, if x_5 were a lawyer, then x_5 is drinking water. For all x, if x_5 were an astronaut, then x_5 is playing a game. Therefore for all x, if x_5 goes running, then x_5 is drinking water.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> T(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> T(x).