Consider the following premises. For all x_15, x_15 will cook. For all x_16, if x_16 drives a car, then x_16 is a musician. For all x_16, if x_16 cooks, then x_16 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: Charles is not a musician.
 From the fact that for all x_16, if x_16 cooks, then x_16 is driving a car, and that for all x_16, if x_16 drives a car, then x_16 is a musician we can infer that for all x_16, if x_16 cooks, then x_16 is a musician via universal transitivity. From the fact that for all x_15, x_15 will cook we can infer that Charles is cooking via universal instantiation. From the fact that for all x_16, if x_16 cooks, then x_16 is a musician we can infer that if Charles cooks, then Charles is a musician via universal instantiation. Finally, from the fact that if Charles cooks, then Charles is a musician, and that Charles is cooking we can infer that Charles is a musician via modus ponens, which contradicts that Charles is not a musician. Therefore, the answer is no.