Translate the following inference to logic notation: For all x, if x_6 listens to a song, then x_6 is not drinking water. For all x, x_6 will drink water. For all x, if x_6 were an electrician, then x_6 is climbing a mountain. For all x, x_6 will climb a mountain if and only if x_6 will listen to a song. Therefore for all x, x_6 is not an electrician.
forall x: P(x) -> ~Q(x). forall x: Q(x). forall x: R(x) -> S(x). forall x: S(x) <-> P(x). Therefore forall x: ~R(x).