Translate the following inference to logic notation: For all x, if x_6 drives a car, then x_6 is a scientist. For all x, x_6 will work. For all x, x_6 will drive a car or x_6 is a politician. For all x, x_6 is a scientist or x_6 is not a politician. Therefore for all x, x_6 is a scientist and x_6 will work.
forall x: P(x) -> Q(x). forall x: R(x). forall x: P(x) or S(x). forall x: Q(x) or ~S(x). Therefore forall x: Q(x) and R(x).