Translate the following inference to logic notation: For all x, x_5 is a nurse. For all x, x_5 is a poet or x_5 is a janitor. For all x, if x_5 were a poet, then x_5 is excited. For all x, if x_5 were a janitor, then x_5 is excited. Therefore for all x, x_5 is excited.
forall x: P(x). forall x: Q(x) or R(x). forall x: Q(x) -> S(x). forall x: R(x) -> S(x). Therefore forall x: S(x).