Consider the following premises. For all x_3, x_3 is not a mechanic. For all x_3, if x_3 were a musician, then x_3 is running. For all x_3, if x_3 goes running, then x_3 is a mechanic. There is at least one x_3 for which if x_3 goes running, then x_3 is a musician. Can we infer the following from them? For all x_3, if x_3 were a musician, then x_3 is running.
That is one of the premises. Therefore, the answer is yes.