Translate the following inference to logic notation: For all x, x_2 will climb a mountain or x_2 is not a carpenter. For all x, if x_2 were a carpenter, then x_2 is a soldier. For all x, x_2 is not a soldier. For all x, if x_2 climbs a mountain, then x_2 is a carpenter. Therefore for all x, x_2 will not climb a mountain.
forall x: P(x) or ~Q(x). forall x: Q(x) -> R(x). forall x: ~R(x). forall x: P(x) -> Q(x). Therefore forall x: ~P(x).