Consider the following premises. For all x_6, x_6 is a bartender or x_6 will play a game. For all x_6, x_6 is not a bartender. For all x_6, if x_6 plays a game, then x_6 is running. Can we infer the following from them? There is at least one x_6 for which neither x_6 will go running nor x_6 is a nurse.
 From the fact that for all x_6, x_6 is a bartender or x_6 will play a game, and that for all x_6, x_6 is not a bartender we can infer that for all x_6, x_6 will play a game. From the fact that for all x_6, if x_6 plays a game, then x_6 is running, and that for all x_6, x_6 will play a game we can infer that for all x_6, x_6 will go running. Finally, from the fact that for all x_6, x_6 will go running we can infer that for all x_6, x_6 will go running or x_6 is a nurse, which contradicts that There is at least one x_6 for which neither x_6 will go running nor x_6 is a nurse. Therefore, the answer is no.