Translate the following inference to logic notation: For all x, if x_1 climbs a mountain, then x_1 is not an astronaut. For all x, if x_1 were a soldier, then x_1 is an astronaut. For all x, x_1 is a soldier. Therefore for all x, x_1 will not climb a mountain.
forall x: P(x) -> ~Q(x). forall x: R(x) -> Q(x). forall x: R(x). Therefore forall x: ~P(x).