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 cloudy, then William is listening to a song. David is curious or William is not listening to a song. If David were curious, then it is cloudy. David is not curious.
If David were curious, then William is listening to a song can be inferred via the transitivity rule. William is not listening to a song can be inferred via the disjunctive syllogism rule. If William listens to a song, then David is curious can be inferred via the rewriting rule.