Translate the following inference to logic notation: For all x, x_6 is a nurse or x_6 will not go running. For all x, x_6 is a nurse or x_6 will not sleep. For all x, x_6 will sleep or x_6 will go running. Therefore for all x, x_6 is a nurse.
forall x: P(x) or ~Q(x). forall x: P(x) or ~R(x). forall x: R(x) or Q(x). Therefore forall x: P(x).