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 z, if z listens to a song, then z is working. John is not playing a game. For all z, if z plays a game, then z is listening to a song. For all z, if z works, then z is playing a game.
For all z, if z listens to a song, then z is playing a game can be inferred via the universal transitivity rule. For all z, if z plays a game, then z is working can be inferred via the universal transitivity rule. For all z, if z works, then z is listening to a song can be inferred via the universal transitivity rule.