Translate the following inference to logic notation: For all x, y is not a scientist. For all x, if y were a nurse, then y is a scientist. For all x, y is a nurse or y will not go running. Therefore for all x, y will not go running.
forall x: ~P(x). forall x: Q(x) -> P(x). forall x: Q(x) or ~R(x). Therefore forall x: ~R(x).