Translate the following inference to logic notation: For all x, x_4 will not cook. For all x, x_4 is a poet or x_4 will cook. For all x, x_4 is not a poet. Therefore for all x, x_4 is a soldier.
forall x: ~P(x). forall x: Q(x) or P(x). forall x: ~Q(x). Therefore forall x: R(x).