Consider the following premises. For all x_4, if x_4 cooks, then x_4 is a bartender. There is at least one x_4 for which x_4 will not work or x_4 will drive a car. For all x_4, if x_4 goes running, then x_4 is a bartender. For all x_4, x_4 will work or x_4 will go running. For all x_4, if x_4 drives a car, then x_4 is cooking. Can we infer the following from them? For all x_4, x_4 is not a bartender.
 From the fact that for all x_4, if x_4 drives a car, then x_4 is cooking, and that for all x_4, if x_4 cooks, then x_4 is a bartender we can infer that for all x_4, if x_4 drives a car, then x_4 is a bartender. From the fact that for all x_4, x_4 will work or x_4 will go running, and that there is at least one x_4 for which x_4 will not work or x_4 will drive a car we can infer that there is at least one x_4 for which x_4 will go running or x_4 will drive a car. Finally, from the fact that for all x_4, if x_4 goes running, then x_4 is a bartender, that for all x_4, if x_4 drives a car, then x_4 is a bartender, and that there is at least one x_4 for which x_4 will go running or x_4 will drive a car we can infer that there is at least one x_4 for which x_4 is a bartender, which contradicts that For all x_4, x_4 is not a bartender. Therefore, the answer is no.