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, if x_10 were excited, then x_10 is listening to a song. If Richard were poor, then it is overcast. Joseph is excited or Richard is poor. If it is overcast, then Joseph is listening to a song.
If Richard were poor, then Joseph is listening to a song can be inferred via the transitivity rule.