Translate the following inference to logic notation: For all x, x_5 will go running or x_5 will drink water. There is at least one x for which x_5 will not go running. For all x, x_5 will listen to a song. Therefore there is at least one x for which x_5 will listen to a song and x_5 will drink water.
forall x: P(x) or Q(x). exists x: ~P(x). forall x: R(x). Therefore exists x: R(x) and Q(x).