Consider the following premises. For all x_9, x_9 will not read a book. For all x_9, if x_9 were a taxi driver, then x_9 is making tea. For all x_9, x_9 will read a book or x_9 is a musician. For all x_9, if x_9 were a musician, then x_9 is sleeping. There is at least one x_9 for which if x_9 sleeps, then x_9 is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: For all x_9, x_9 will not make tea.
 From the fact that there is at least one x_9 for which if x_9 sleeps, then x_9 is a taxi driver, and that for all x_9, if x_9 were a taxi driver, then x_9 is making tea we can infer that there is at least one x_9 for which if x_9 sleeps, then x_9 is making tea via existential transitivity. From the fact that for all x_9, x_9 will read a book or x_9 is a musician, and that for all x_9, x_9 will not read a book we can infer that for all x_9, x_9 is a musician via universal disjunctive syllogism. From the fact that for all x_9, if x_9 were a musician, then x_9 is sleeping, and that for all x_9, x_9 is a musician we can infer that for all x_9, x_9 will sleep via universal modus ponens. Finally, from the fact that there is at least one x_9 for which if x_9 sleeps, then x_9 is making tea, and that for all x_9, x_9 will sleep we can infer that there is at least one x_9 for which x_9 will make tea via existential modus ponens, which contradicts that For all x_9, x_9 will not make tea. Therefore, the answer is no.