Consider the following premises. For all x_8, x_8 is not sad or x_8 will work. For all x_8, x_8 is not a bartender or x_8 will sleep. For all x_8, x_8 will not work. For all x_8, x_8 is sad or x_8 is a bartender. Can we infer the following from them? If we can, name the inference rule being used: James is not sleeping.
 From the fact that for all x_8, x_8 is sad or x_8 is a bartender, and that for all x_8, x_8 is not sad or x_8 will work we can infer that for all x_8, x_8 is a bartender or x_8 will work via universal resolution. From the fact that for all x_8, x_8 is a bartender or x_8 will work, and that for all x_8, x_8 is not a bartender or x_8 will sleep we can infer that for all x_8, x_8 will work or x_8 will sleep via universal resolution. Finally, from the fact that for all x_8, x_8 will work or x_8 will sleep, and that for all x_8, x_8 will not work we can infer that for all x_8, x_8 will sleep via universal disjunctive syllogism, which contradicts that James is not sleeping. Therefore, the answer is no.