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, x_6 will not make tea or x_6 is a bartender. For all x_6, x_6 will make tea or x_6 will listen to a song. For all x_6, x_6 will listen to a song if and only if x_6 will play a game.
For all x_6, x_6 will listen to a song or x_6 is a bartender can be inferred via the universal resolution rule. For all x_6, if x_6 listens to a song, then x_6 is playing a game can be inferred via the universal biconditional elimination 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 biconditional elimination rule. For all x_6, x_6 will not listen to a song can be inferred via the universal biconditional elimination rule.