Translate the following inference to logic notation: For all x, if x_12 cooks, then x_12 is taking a plane. For all x, x_12 is bored if and only if x_12 is sad. For all x, x_12 is sad. For all x, if x_12 were bored, then x_12 is cooking. Therefore for all x, x_12 will take a plane.
forall x: P(x) -> Q(x). forall x: R(x) <-> S(x). forall x: S(x). forall x: R(x) -> P(x). Therefore forall x: Q(x).