Translate the following inference to logic notation: For all x, x_13 is a soldier or x_13 will make tea. There is at least one x for which if x_13 were a janitor, then x_13 is listening to a song. For all x, x_13 is an office clerk. For all x, if x_13 were a soldier, then x_13 is a janitor. For all x, if x_13 makes tea, then x_13 is a janitor. Therefore there is at least one x for which x_13 will listen to a song and x_13 is an office clerk.
forall x: P(x) or Q(x). exists x: R(x) -> S(x). forall x: T(x). forall x: P(x) -> R(x). forall x: Q(x) -> R(x). Therefore exists x: S(x) and T(x).