Translate the following inference to logic notation: For all x, x_7 will climb a mountain or x_7 will go running. For all x, x_7 is not an artist. There is at least one x for which x_7 is excited. For all x, x_7 is an artist if and only if x_7 will climb a mountain. Therefore there is at least one x for which x_7 will go running and x_7 is excited.
forall x: P(x) or Q(x). forall x: ~R(x). exists x: S(x). forall x: R(x) <-> P(x). Therefore exists x: Q(x) and S(x).