Translate the following inference to logic notation: For all x, if x_9 were an astronaut, then x_9 is running. For all x, x_9 is an astronaut or x_9 is not a nurse. For all x, if x_9 goes running, then x_9 is a nurse. Therefore if Joseph goes running, then Joseph is a nurse.
forall x: P(x) -> Q(x). forall x: P(x) or ~R(x). forall x: Q(x) -> R(x). Therefore Q(a) -> R(a).