Translate the following inference to logic notation: For all x, x_13 is a nurse if and only if x_13 will go running. For all x, x_13 will not go running. For all x, x_13 is a nurse if and only if x_13 is a janitor. For all x, if x_13 were a janitor, then x_13 is a nurse. Therefore for all x, x_13 is not a janitor.
forall x: P(x) <-> Q(x). forall x: ~Q(x). forall x: P(x) <-> R(x). forall x: R(x) -> P(x). Therefore forall x: ~R(x).