Translate the following inference to logic notation: For all x, x will not play a game or x is a musician. For all x, x will play a game or x will drive a car. There is at least one x for which x is a sailor if and only if x will drive a car. For all x, if x were a musician, then x is a sailor. Therefore there is at least one x for which x is a sailor.
forall x: ~P(x) or Q(x). forall x: P(x) or R(x). exists x: S(x) <-> R(x). forall x: Q(x) -> S(x). Therefore exists x: S(x).