Translate the following inference to logic notation: For all x, if x_16 reads a book, then x_16 is an astronaut. There is at least one x for which if x_16 were an astronaut, then x_16 is running. For all x, x_16 will sleep if and only if x_16 will go running. For all x, x_16 will not drive a car or x_16 is a nurse. For all x, if x_16 were a nurse, then x_16 is reading a book. For all x, x_16 will drive a car or x_16 will sleep. Therefore there is at least one x for which x_16 will go running.
forall x: P(x) -> Q(x). exists x: Q(x) -> R(x). forall x: S(x) <-> R(x). forall x: ~T(x) or U(x). forall x: U(x) -> P(x). forall x: T(x) or S(x). Therefore exists x: R(x).