Translate the following inference to logic notation: There is at least one x for which if x_5 listens to a song, then x_5 is a politician. For all x, if x_5 were a politician, then x_5 is taking a plane. For all x, x_5 is sad or x_5 will not take a plane. Therefore there is at least one x for which if x_5 listens to a song, then x_5 is sad.
exists x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: S(x) or ~R(x). Therefore exists x: P(x) -> S(x).