Translate the following inference to logic notation: There is at least one x for which x_15 is a janitor. For all x, if x_15 were a soldier, then x_15 is working. For all x, x_15 is a soldier if and only if x_15 is a janitor. For all x, x_15 will not work. Therefore there is at least one x for which x_15 will climb a mountain.
exists x: P(x). forall x: Q(x) -> R(x). forall x: Q(x) <-> P(x). forall x: ~R(x). Therefore exists x: S(x).