Translate the following inference to logic notation: There is at least one x for which x_9 will go running if and only if x_9 will make tea. For all x, if x_9 makes tea, then x_9 is listening to a song. For all x, if x_9 reads a book, then x_9 is running. Therefore there is at least one x for which if x_9 reads a book, then x_9 is listening to a song.
exists x: P(x) <-> Q(x). forall x: Q(x) -> R(x). forall x: S(x) -> P(x). Therefore exists x: S(x) -> R(x).