Translate the following inference to logic notation: For all x, x_5 will not listen to a song. For all x, if x_5 were a doctor, then x_5 is listening to a song. For all x, if x_5 plays tennis, then x_5 is not a sailor. For all x, x_5 is a doctor or x_5 is a sailor. Therefore for all x, x_5 will not play tennis.
forall x: ~P(x). forall x: Q(x) -> P(x). forall x: R(x) -> ~S(x). forall x: Q(x) or S(x). Therefore forall x: ~R(x).