Translate the following inference to logic notation: For all x, x_9 will work. For all x, x_9 is an artist or x_9 is a poet. For all x, if x_9 were a poet, then x_9 is a bartender. For all x, x_9 is a bartender if and only if x_9 is an artist. For all x, if x_9 works, then x_9 is a nurse. Therefore for all x, x_9 is a nurse and x_9 is a bartender.
forall x: P(x). forall x: Q(x) or R(x). forall x: R(x) -> S(x). forall x: S(x) <-> Q(x). forall x: P(x) -> T(x). Therefore forall x: T(x) and S(x).