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 it is overcast, then Joseph is listening to a song. If John were bored, then it is overcast. John is bored or Joseph is not listening to a song.
If John were bored, then Joseph is listening to a song can be inferred via the transitivity rule. If Joseph listens to a song, then John is bored can be inferred via the rewriting rule.