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: If Joseph goes running, then it is snowing. It is snowing if and only if Sarah is listening to a song. Sarah is listening to a song or Joseph is running.
If it snows, then Sarah is listening to a song can be inferred via the biconditional elimination rule. If Sarah listens to a song, then it is snowing can be inferred via the biconditional elimination rule.