Translate the following inference to logic notation: For all x, z will take a plane or z is not a scientist. For all x, z is a scientist. There is at least one x for which z will sleep. Therefore there is at least one x for which z will sleep and z will take a plane.
forall x: P(x) or ~Q(x). forall x: Q(x). exists x: R(x). Therefore exists x: R(x) and P(x).