Translate the following inference to logic notation: For all x, x_5 will not climb a mountain. For all x, if x_5 drinks water, then x_5 is climbing a mountain. For all x, x_5 will drink water or x_5 will listen to a song. For all x, if x_5 climbs a mountain, then x_5 is drinking water. Therefore for all x, x_5 will listen to a song.
forall x: ~P(x). forall x: Q(x) -> P(x). forall x: Q(x) or R(x). forall x: P(x) -> Q(x). Therefore forall x: R(x).