Translate the following inference to logic notation: For all x, x_5 will climb a mountain. For all x, if x_5 climbs a mountain, then x_5 is making tea. For all x, if x_5 plays squash, then x_5 is a soldier. For all x, if x_5 makes tea, then x_5 is playing squash. Therefore for all x, x_5 is a soldier.
forall x: P(x). forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: Q(x) -> R(x). Therefore forall x: S(x).