Translate the following inference to logic notation: For all x, if x_4 goes running, then x_4 is an astronaut. For all x, x_4 is an astronaut or x_4 will not climb a mountain. For all x, x_4 will go running. Therefore for all x, x_4 is an astronaut.
forall x: P(x) -> Q(x). forall x: Q(x) or ~R(x). forall x: P(x). Therefore forall x: Q(x).