Consider the following premises. For all x_13, if x_13 sleeps, then x_13 is a writer. There is at least one x_13 for which x_13 will drive a car or x_13 will sleep. For all x_13, if x_13 makes tea, then x_13 is not a writer. For all x_13, x_13 will not drive a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_13, x_13 will make tea.
 From the fact that there is at least one x_13 for which x_13 will drive a car or x_13 will sleep, and that for all x_13, x_13 will not drive a car we can infer that there is at least one x_13 for which x_13 will sleep via existential disjunctive syllogism. From the fact that for all x_13, if x_13 sleeps, then x_13 is a writer, and that there is at least one x_13 for which x_13 will sleep we can infer that there is at least one x_13 for which x_13 is a writer via existential modus ponens. Finally, from the fact that for all x_13, if x_13 makes tea, then x_13 is not a writer, and that there is at least one x_13 for which x_13 is a writer we can infer that there is at least one x_13 for which x_13 will not make tea via existential modus tollens, which contradicts that For all x_13, x_13 will make tea. Therefore, the answer is no.