Consider the following premises. For all x_19, x_19 will cook. For all x_24, x_24 will go running and x_24 is a musician. For all x_19, if x_19 cooks, then x_19 is sleeping. Can we infer the following from them? If we can, name the inference rule being used: Patricia is not running.
 From the fact that for all x_24, x_24 will go running and x_24 is a musician we can infer that Patricia is running and Patricia is a musician via universal instantiation. From the fact that for all x_19, if x_19 cooks, then x_19 is sleeping, and that for all x_19, x_19 will cook we can infer that for all x_19, x_19 will sleep via universal modus ponens. From the fact that for all x_19, x_19 will sleep we can infer that Barbara is sleeping via universal instantiation. Finally, from the fact that Patricia is running and Patricia is a musician we can infer that Patricia is running via simplification, which contradicts that Patricia is not running. Therefore, the answer is no.