Translate the following inference to logic notation: For all x, x_4 will not listen to a song. For all x, x_4 will listen to a song or x_4 will go running. For all x, x_4 will not go running or x_4 will cook. Therefore for all x, x_4 is a cashier or x_4 will cook.
forall x: ~P(x). forall x: P(x) or Q(x). forall x: ~Q(x) or R(x). Therefore forall x: S(x) or R(x).