Consider the following premises. For all x_19, x_19 will climb a mountain or x_19 is sad. For all x_19, if x_19 were a server, then x_19 is playing tennis. For all x_19, if x_19 were sad, then x_19 is making tea. For all x_19, x_19 will not sleep. There is at least one x_19 for which x_19 will sleep or x_19 is a server. For all x_19, if x_19 climbs a mountain, then x_19 is making tea. Can we infer the following from them? If we can, name the inference rule being used: For all x_19, x_19 will not make tea.
 From the fact that there is at least one x_19 for which x_19 will sleep or x_19 is a server, and that for all x_19, x_19 will not sleep we can infer that there is at least one x_19 for which x_19 is a server via existential disjunctive syllogism. Finally, from the fact that for all x_19, if x_19 climbs a mountain, then x_19 is making tea, that for all x_19, if x_19 were sad, then x_19 is making tea, and that for all x_19, x_19 will climb a mountain or x_19 is sad we can infer that for all x_19, x_19 will make tea via universal disjunction elimination, which contradicts that For all x_19, x_19 will not make tea. Therefore, the answer is no.