Translate the following inference to logic notation: For all x, x_6 is not a nurse. For all x, if x_6 goes running, then x_6 is drinking water. For all x, x_6 is a nurse or x_6 will go running. For all x, if x_6 were an office clerk, then x_6 is not drinking water. Therefore for all x, x_6 is not an office clerk.
forall x: ~P(x). forall x: Q(x) -> R(x). forall x: P(x) or Q(x). forall x: S(x) -> ~R(x). Therefore forall x: ~S(x).