Translate the following inference to logic notation: For all x, y_3 will drink water or y_3 will not go running. For all x, if y_3 climbs a mountain, then y_3 is running. For all x, if y_3 works, then y_3 is climbing a mountain. Therefore for all x, if y_3 works, then y_3 is drinking water.
forall x: P(x) or ~Q(x). forall x: R(x) -> Q(x). forall x: S(x) -> R(x). Therefore forall x: S(x) -> P(x).