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