Translate the following inference to logic notation: For all x, if x_10 were a musician, then x_10 is a poet. For all x, if x_10 cooks, then x_10 is poor. For all x, if x_10 were poor, then x_10 is cooking. For all x, if x_10 were a poet, then x_10 is a musician. For all x, x_10 is not a poet. For all x, x_10 is poor if and only if x_10 is a musician. Therefore for all x, x_10 will not cook.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> R(x). forall x: Q(x) -> P(x). forall x: ~Q(x). forall x: S(x) <-> P(x). Therefore forall x: ~R(x).