Consider the following premises. For all x_10, if x_10 goes running, then x_10 is a bartender. For all x_10, if x_10 were a poet, then x_10 is a bartender. There is at least one x_10 for which if x_10 were a bartender, then x_10 is running. For all x_10, if x_10 goes running, then x_10 is a poet. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_10 for which if x_10 were a bartender, then x_10 is running.
That is one of the premises. Therefore, the answer is yes.