Translate the following inference to logic notation: For all x, if x_8 were a bartender, then x_8 is playing squash. For all x, if x_8 plays squash, then x_8 is a janitor. For all x, if x_8 were a janitor, then x_8 is making tea. For all x, if x_8 makes tea, then x_8 is a bartender. Therefore if William plays squash, then William is a janitor.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> S(x). forall x: S(x) -> P(x). Therefore Q(a) -> R(a).