Consider the following premises. For all x_11, x_11 will play tennis if and only if x_11 is a writer. For all x_11, if x_11 plays tennis, then x_11 is cooking. For all x_11, if x_11 cooks, then x_11 is a writer. Can we infer the following from them? If we can, name the inference rule being used: The fact that Sarah were a writer does not imply that Sarah is playing tennis.
That contradicts the premises. Therefore the answer is no.