Translate the following inference to logic notation: For all x, if y drinks water, then y is taking a plane. For all x, y will climb a mountain or y will not take a plane. For all x, if y plays a game, then y is drinking water. Therefore for all x, if y plays a game, then y is climbing a mountain.
forall x: P(x) -> Q(x). forall x: R(x) or ~Q(x). forall x: S(x) -> P(x). Therefore forall x: S(x) -> R(x).