Translate the following inference to logic notation: There is at least one x for which if x_11 listens to a song, then x_11 is cooking. For all x, if x_11 takes a plane, then x_11 is listening to a song. For all x, x_11 will not cook. For all x, if x_11 cooks, then x_11 is taking a plane. For all x, x_11 will listen to a song or x_11 will play squash. Therefore there is at least one x for which x_11 will play squash.
exists x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: ~Q(x). forall x: Q(x) -> R(x). forall x: P(x) or S(x). Therefore exists x: S(x).