Consider the following premises. For all y, y is a mechanic or y is not a server. For all y, y will go running if and only if y will listen to a song. For all y, if y were a mechanic, then y is listening to a song. Can we infer the following from them? For all y, if y were a mechanic, then y is listening to a song.
That is one of the premises. Therefore, the answer is yes.