Translate the following inference to logic notation: For all x, x_8 will drink water. For all x, if x_8 were a musician, then x_8 is a nurse. For all x, if x_8 drinks water, then x_8 is a janitor. For all x, x_8 is a musician or x_8 is a police officer. For all x, if x_8 were a police officer, then x_8 is a nurse. Therefore for all x, x_8 is a janitor and x_8 is a nurse.
forall x: P(x). forall x: Q(x) -> R(x). forall x: P(x) -> S(x). forall x: Q(x) or T(x). forall x: T(x) -> R(x). Therefore forall x: S(x) and R(x).