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_6, x_6 will not play a game. For all x_6, if x_6 works, then x_6 is listening to a song. For all x_6, if x_6 plays a game, then x_6 is working. For all x_6, if x_6 listens to a song, then x_6 is playing a game.
For all x_6, x_6 will not listen to a song can be inferred via the universal modus tollens rule. For all x_6, if x_6 works, then x_6 is playing a game can be inferred via the universal transitivity rule. For all x_6, if x_6 plays a game, then x_6 is listening to a song can be inferred via the universal transitivity rule. For all x_6, if x_6 listens to a song, then x_6 is working can be inferred via the universal transitivity rule.