Translate the following inference to logic notation: For all x, if x_10 plays squash, then x_10 is a soldier. For all x, if x_10 were a bartender, then x_10 is a soldier. For all x, if x_10 were a soldier, then x_10 is a bartender. For all x, x_10 is excited. For all x, if x_10 were excited, then x_10 is playing squash. Therefore for all x, x_10 is a bartender.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: Q(x) -> R(x). forall x: S(x). forall x: S(x) -> P(x). Therefore forall x: R(x).