Consider the following premises. For all x_5, if x_5 reads a book, then x_5 is playing a game. For all x_5, if x_5 plays a game, then x_5 is a taxi driver. There is at least one x_5 for which if x_5 were a musician, then x_5 is a taxi driver. For all x_5, x_5 will read a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is not a taxi driver.
 From the fact that for all x_5, x_5 will read a book we can infer that for all x_5, x_5 will read a book or x_5 is a musician via universal addition. From the fact that for all x_5, if x_5 reads a book, then x_5 is playing a game, and that for all x_5, if x_5 plays a game, then x_5 is a taxi driver we can infer that for all x_5, if x_5 reads a book, then x_5 is a taxi driver via universal transitivity. Finally, from the fact that for all x_5, if x_5 reads a book, then x_5 is a taxi driver, that there is at least one x_5 for which if x_5 were a musician, then x_5 is a taxi driver, and that for all x_5, x_5 will read a book or x_5 is a musician we can infer that there is at least one x_5 for which x_5 is a taxi driver via existential disjunction elimination, which contradicts that For all x_5, x_5 is not a taxi driver. Therefore, the answer is no.