Translate the following inference to logic notation: For all x, if x_13 were a nurse, then x_13 is not a scientist. For all x, if x_13 were a lawyer, then x_13 is an artist. Jennifer is a scientist. For all x, if x_13 were an artist, then x_13 is a nurse. Therefore there is at least one x for which x_13 is not a lawyer.
forall x: P(x) -> ~Q(x). forall x: R(x) -> S(x). Q(a). forall x: S(x) -> P(x). Therefore exists x: ~R(x).