Consider the following premises. There is at least one x_6 for which if x_6 goes running, then x_6 is a bartender. For all x_6, if x_6 plays tennis, then x_6 is working. For all x_6, if x_6 works, then x_6 is a bartender. For all x_6, if x_6 were a bartender, then x_6 is playing tennis. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, the fact that x_6 goes running does not imply that x_6 is playing tennis.
That contradicts the premises. Therefore the answer is no.