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 Mary were a politician, then Jennifer is driving a car. It is raining or Joseph is not running. If it is late, then Mary is a politician. If it rains, then it is late.
If it is late, then Jennifer is driving a car can be inferred via the transitivity rule. If it rains, then Mary is a politician can be inferred via the transitivity rule. If Joseph goes running, then it is raining can be inferred via the rewriting rule.