Translate the following inference to logic notation: For all x, x_6 will drive a car or x_6 is a musician. There is at least one x for which x_6 is a soldier. For all x, x_6 will cook. For all x, if x_6 drives a car, then x_6 is not cooking. Therefore there is at least one x for which x_6 is a soldier and x_6 is a musician.
forall x: P(x) or Q(x). exists x: R(x). forall x: S(x). forall x: P(x) -> ~S(x). Therefore exists x: R(x) and Q(x).