Translate the following inference to logic notation: For all x, if x_1 were a cashier, then x_1 is making tea. For all x, if x_1 plays a game, then x_1 is a cashier. For all x, if x_1 were a poet, then x_1 is playing a game. Therefore for all x, if x_1 were a poet, then x_1 is making tea.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: S(x) -> R(x). Therefore forall x: S(x) -> Q(x).