Translate the following inference to logic notation: There is at least one x for which x_10 is a server if and only if x_10 is an astronaut. For all x, x_10 is a lawyer. For all x, x_10 will listen to a song if and only if x_10 is a server. For all x, if x_10 were an astronaut, then x_10 is not a lawyer. Therefore there is at least one x for which x_10 will not listen to a song.
exists x: P(x) <-> Q(x). forall x: R(x). forall x: S(x) <-> P(x). forall x: Q(x) -> ~R(x). Therefore exists x: ~S(x).