Translate the following inference to logic notation: For all x, x_2 will drink water or x_2 will not climb a mountain. For all x, if x_2 were a soldier, then x_2 is drinking water. There is at least one x for which x_2 is a soldier or x_2 will climb a mountain. Therefore there is at least one x for which x_2 will drink water.
forall x: P(x) or ~Q(x). forall x: R(x) -> P(x). exists x: R(x) or Q(x). Therefore exists x: P(x).