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_10, x_10 will not listen to a song. Karen is listening to a song if and only if Elisabeth is playing a game. Elisabeth is playing a game or Joseph is working.
If Karen listens to a song, then Elisabeth is playing a game can be inferred via the biconditional elimination rule. If Elisabeth plays a game, then Karen is listening to a song can be inferred via the biconditional elimination rule.