Consider the following premises. For all x_7, if x_7 were a doctor, then x_7 is writing a letter. There is at least one x_7 for which if x_7 were a server, then x_7 is a doctor. For all x_7, x_7 is a server or x_7 will not play tennis. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, the fact that x_7 plays tennis does not imply that x_7 is writing a letter.
That contradicts the premises. Therefore the answer is no.