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