Translate the following inference to logic notation: There is at least one x for which x_13 is a nurse. For all x, if x_13 sleeps, then x_13 is running. For all x, x_13 will drive a car or x_13 will go running. For all x, if x_13 drives a car, then x_13 is sleeping. For all x, x_13 will sleep if and only if x_13 will go running. Therefore there is at least one x for which x_13 will sleep and x_13 is a nurse.
exists x: P(x). forall x: Q(x) -> R(x). forall x: S(x) or R(x). forall x: S(x) -> Q(x). forall x: Q(x) <-> R(x). Therefore exists x: Q(x) and P(x).