Translate the following inference to logic notation: There is at least one x for which x_8 will read a book or x_8 is not a bartender. For all x, x_8 is a bartender. For all x, if x_8 reads a book, then x_8 is cooking. Therefore there is at least one x for which x_8 will cook.
exists x: P(x) or ~Q(x). forall x: Q(x). forall x: P(x) -> R(x). Therefore exists x: R(x).