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 y for which y will listen to a song or y will play a game. For all y, y will not listen to a song.
There is at least one y for which y will play a game can be inferred via the existential disjunctive syllogism rule.