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: For all x_8, x_8 will play squash or x_8 will drive a car. For all x_8, x_8 will not play squash. For all x_8, x_8 will play a game. There is at least one x_8 for which if x_8 plays a game, then x_8 is listening to a song.
There is at least one x_8 for which x_8 will listen to a song can be inferred via the existential modus ponens rule. For all x_8, x_8 will drive a car can be inferred via the universal disjunctive syllogism rule.