Translate the following inference to logic notation: There is at least one x for which if x_12 were an artist, then x_12 is a mechanic. For all x, x_12 is a mechanic if and only if x_12 will sleep. For all x, x_12 is an artist or x_12 will not climb a mountain. Therefore there is at least one x for which if x_12 climbs a mountain, then x_12 is sleeping.
exists x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: P(x) or ~S(x). Therefore exists x: S(x) -> R(x).