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_4 for which x_4 is a doctor or x_4 is bored. For all x_4, x_4 will play a game. For all x_4, x_4 is not a doctor.
There is at least one x_4 for which x_4 is bored can be inferred via the existential disjunctive syllogism rule.