Consider the following premises. There is at least one z for which z will go running or z is not a bartender. For all z, if z goes running, then z is playing tennis. For all z, if z goes running, then z is a bartender. Can we infer the following from them? For all z, the fact that z were a bartender does not imply that z is playing tennis.
That contradicts the premises. Therefore the answer is no.