Consider the following premises. For all x_8, if x_8 drives a car, then x_8 is taking a plane. For all x_8, if x_8 reads a book, then x_8 is driving a car. For all x_8, x_8 will work or x_8 will read a book. There is at least one x_8 for which x_8 is a taxi driver. For all x_8, if x_8 works, then x_8 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, either x_8 is a taxi driver or x_8 will take a plane are not true.
 From the fact that for all x_8, if x_8 works, then x_8 is driving a car, that for all x_8, if x_8 reads a book, then x_8 is driving a car, and that for all x_8, x_8 will work or x_8 will read a book we can infer that for all x_8, x_8 will drive a car via universal disjunction elimination. From the fact that for all x_8, if x_8 drives a car, then x_8 is taking a plane, and that for all x_8, x_8 will drive a car we can infer that for all x_8, x_8 will take a plane via universal modus ponens. Finally, from the fact that there is at least one x_8 for which x_8 is a taxi driver, and that for all x_8, x_8 will take a plane we can infer that there is at least one x_8 for which x_8 is a taxi driver and x_8 will take a plane via existential conjunction, which contradicts that For all x_8, either x_8 is a taxi driver or x_8 will take a plane are not true. Therefore, the answer is no.