Translate the following inference to logic notation: For all x, if x_8 reads a book, then x_8 is a soldier. For all x, x_8 is a nurse if and only if x_8 is a soldier. For all x, x_8 is a police officer or x_8 is a nurse. There is at least one x for which if x_8 were a police officer, then x_8 is reading a book. Therefore there is at least one x for which x_8 is a soldier.
forall x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: S(x) or R(x). exists x: S(x) -> P(x). Therefore exists x: Q(x).