Consider the following premises. For all x_9, x_9 will not go running. For all x_9, if x_9 goes running, then x_9 is a nurse. For all x_9, if x_9 were a nurse, then x_9 is running. For all x_9, x_9 will play squash if and only if x_9 is a nurse. Can we infer the following from them? For all x_9, x_9 will not play squash.
 From the fact that for all x_9, if x_9 were a nurse, then x_9 is running, and that for all x_9, if x_9 goes running, then x_9 is a nurse we can infer that for all x_9, x_9 is a nurse if and only if x_9 will go running. From the fact that for all x_9, x_9 is a nurse if and only if x_9 will go running, and that for all x_9, x_9 will not go running we can infer that for all x_9, x_9 is not a nurse. From the fact that for all x_9, x_9 will play squash if and only if x_9 is a nurse we can infer that for all x_9, if x_9 plays squash, then x_9 is a nurse. Finally, from the fact that for all x_9, if x_9 plays squash, then x_9 is a nurse, and that for all x_9, x_9 is not a nurse we can infer that for all x_9, x_9 will not play squash. Therefore, the answer is yes.