Translate the following inference to logic notation: For all x, x_11 is not poor or x_11 is a nurse. For all x, x_11 is poor or x_11 is an astronaut. There is at least one x for which x_11 is not an astronaut. Therefore there is at least one x for which x_11 is a nurse or x_11 will climb a mountain.
forall x: ~P(x) or Q(x). forall x: P(x) or R(x). exists x: ~R(x). Therefore exists x: Q(x) or S(x).