Translate the following inference to logic notation: For all x, if x_3 were a doctor, then x_3 is a soldier. There is at least one x for which x_3 is a doctor. Therefore there is at least one x for which x_3 is a soldier or x_3 will read a book.
forall x: P(x) -> Q(x). exists x: P(x). Therefore exists x: Q(x) or R(x).