Translate the following inference to logic notation: For all x, if x_11 drinks water, then x_11 is listening to a song. For all x, x_11 will drink water or x_11 is not bored. For all x, x_11 is bored or x_11 will not listen to a song. Therefore for all x, if x_11 listens to a song, then x_11 is bored.
forall x: P(x) -> Q(x). forall x: P(x) or ~R(x). forall x: R(x) or ~Q(x). Therefore forall x: Q(x) -> R(x).