Translate the following inference to logic notation: For all x, x_4 will climb a mountain. There is at least one x for which if x_4 climbs a mountain, then x_4 is listening to a song. For all x, x_4 will drive a car. Therefore there is at least one x for which x_4 will drive a car.
forall x: P(x). exists x: P(x) -> Q(x). forall x: R(x). Therefore exists x: R(x).