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_10 for which x_10 is not poor. For all x_10, if x_10 works, then x_10 is playing a game. For all x_10, x_10 is poor or x_10 will work. For all x_10, if x_10 plays a game, then x_10 is an electrician.
For all x_10, if x_10 works, then x_10 is an electrician can be inferred via the universal transitivity rule. There is at least one x_10 for which x_10 will work can be inferred via the existential disjunctive syllogism rule.