What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: There is at least one x_8 for which x_8 will make tea or x_8 is a soldier. For all x_8, x_8 is rich. For all x_8, x_8 will not make tea. For all x_8, if x_8 were rich, then x_8 is sleeping.
For all x_8, x_8 will sleep can be inferred via the universal modus ponens rule. There is at least one x_8 for which x_8 is a soldier can be inferred via the existential disjunctive syllogism rule.