Consider the following premises. If Elisabeth were a server, then Elisabeth is a doctor. For all x_10, if x_10 were a server, then x_10 is a doctor. For all x_10, if x_10 were a doctor, then x_10 is a server. Can we infer the following from them? If we can, name the inference rule being used: The fact that Elisabeth were a server does not imply that Elisabeth is a doctor.
That contradicts the premises. Therefore the answer is no.