Consider the following premises. For all x_5, x_5 will go running if and only if x_5 is a nurse. For all x_5, if x_5 were a nurse, then x_5 is poor. For all x_5, x_5 is not poor. Can we infer the following from them? For all x_5, x_5 will not go running.
 From the fact that for all x_5, if x_5 were a nurse, then x_5 is poor, and that for all x_5, x_5 is not poor we can infer that for all x_5, x_5 is not a nurse. From the fact that for all x_5, x_5 will go running if and only if x_5 is a nurse we can infer that for all x_5, if x_5 goes running, then x_5 is a nurse. Finally, from the fact that for all x_5, if x_5 goes running, then x_5 is a nurse, and that for all x_5, x_5 is not a nurse we can infer that for all x_5, x_5 will not go running. Therefore, the answer is yes.