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: James is listening to a song if and only if Mary is a police officer. Mary is not a police officer. David is running or James is not listening to a song. James is listening to a song or David is not running.
If James listens to a song, then David is running can be inferred via the rewriting rule. If David goes running, then James is listening to a song can be inferred via the rewriting rule. If James listens to a song, then Mary is a police officer can be inferred via the biconditional elimination rule. If Mary were a police officer, then James is listening to a song can be inferred via the biconditional elimination rule. James is not listening to a song can be inferred via the biconditional elimination rule.