Consider the following premises. For all x_7, if x_7 were a bartender, then x_7 is not a mechanic. There is at least one x_7 for which x_7 will go running if and only if x_7 is a bartender. For all x_7, x_7 is a mechanic and x_7 is excited. Can we infer the following from them? There is at least one x_7 for which x_7 will not go running.
 From the fact that for all x_7, x_7 is a mechanic and x_7 is excited we can infer that for all x_7, x_7 is a mechanic. From the fact that for all x_7, if x_7 were a bartender, then x_7 is not a mechanic, and that for all x_7, x_7 is a mechanic we can infer that for all x_7, x_7 is not a bartender. Finally, from the fact that there is at least one x_7 for which x_7 will go running if and only if x_7 is a bartender, and that for all x_7, x_7 is not a bartender we can infer that there is at least one x_7 for which x_7 will not go running. Therefore, the answer is yes.