Translate the following inference to logic notation: There is at least one x for which x is fast. For all x, x will listen to a song. For all x, x will not listen to a song. Therefore there is at least one x for which x will play tennis and x is fast.
exists x: P(x). forall x: Q(x). forall x: ~Q(x). Therefore exists x: R(x) and P(x).