Translate the following inference to logic notation: For all x, if x_14 were a doctor, then x_14 is working. For all x, x_14 is a police officer if and only if x_14 is a poet. For all x, x_14 will not cook or x_14 is a police officer. For all x, x_14 will cook or x_14 is a doctor. For all x, x_14 is a poet if and only if x_14 will work. Therefore for all x, x_14 will work.
forall x: P(x) -> Q(x). forall x: R(x) <-> S(x). forall x: ~T(x) or R(x). forall x: T(x) or P(x). forall x: S(x) <-> Q(x). Therefore forall x: Q(x).