Consider the following premises. Michael is curious if and only if William is a nurse. If William were a nurse, then Barbara is playing tennis. For all x_15, if x_15 plays tennis, then x_15 is cooking. Can we infer the following from them? If we can, name the inference rule being used: The fact that Michael were curious does not imply that Barbara is cooking.
That contradicts the premises. Therefore the answer is no.