Consider the following premises. For all x, x is a doctor. There is at least one x for which if x drinks water, then x is playing tennis. For all x, if x plays tennis, then x is not a doctor. For all x, if x plays tennis, then x is drinking water. Can we infer the following from them? There is at least one x for which x will not drink water.
 From the fact that there is at least one x for which if x drinks water, then x is playing tennis, and that for all x, if x plays tennis, then x is drinking water we can infer that there is at least one x for which x will drink water if and only if x will play tennis. From the fact that for all x, if x plays tennis, then x is not a doctor, and that for all x, x is a doctor we can infer that for all x, x will not play tennis. Finally, from the fact that there is at least one x for which x will drink water if and only if x will play tennis, and that for all x, x will not play tennis we can infer that there is at least one x for which x will not drink water. Therefore, the answer is yes.