Consider the following premises. For all y, if y were an astronaut, then y is a server. For all y, if y were a server, then y is an astronaut. There is at least one y for which y will listen to a song if and only if y is a server. Can we infer the following from them? If we can, name the inference rule being used: For all y, the fact that y listens to a song does not imply that y is an astronaut.
That contradicts the premises. Therefore the answer is no.