Translate the following inference to logic notation: For all x, x_15 will climb a mountain if and only if x_15 is a bartender. For all x, if x_15 were a bartender, then x_15 is a soldier. For all x, if x_15 were a soldier, then x_15 is an artist. There is at least one x for which if x_15 were an artist, then x_15 is climbing a mountain. Therefore there is at least one x for which if x_15 were a bartender, then x_15 is a soldier.
forall x: P(x) <-> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> S(x). exists x: S(x) -> P(x). Therefore exists x: Q(x) -> R(x).