Consider the following premises. For all x_11, x_11 will drive a car or x_11 will cook. For all x_11, x_11 will not drive a car. If Elisabeth takes a plane, then Joseph is not cooking. Can we infer the following from them? If we can, name the inference rule being used: Elisabeth is taking a plane.
 From the fact that for all x_11, x_11 will drive a car or x_11 will cook, and that for all x_11, x_11 will not drive a car we can infer that for all x_11, x_11 will cook via universal disjunctive syllogism. From the fact that for all x_11, x_11 will cook we can infer that Joseph is cooking via universal instantiation. Finally, from the fact that if Elisabeth takes a plane, then Joseph is not cooking, and that Joseph is cooking we can infer that Elisabeth is not taking a plane via modus tollens, which contradicts that Elisabeth is taking a plane. Therefore, the answer is no.