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 John listens to a song, then Mary is playing tennis. If it rains, then Mary is playing tennis. Jessica is running and it is cold. John is listening to a song or it is raining.
Jessica is running can be inferred via the simplification rule. It is cold can be inferred via the simplification rule. Mary is playing tennis can be inferred via the disjunction elimination rule.