Translate the following inference to logic notation: For all x, x_2 is not a cashier or x_2 is an astronaut. There is at least one x for which x_2 is not a sailor. For all x, x_2 is a cashier or x_2 is a sailor. Therefore there is at least one x for which x_2 is an astronaut.
forall x: ~P(x) or Q(x). exists x: ~R(x). forall x: P(x) or R(x). Therefore exists x: Q(x).