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 rains, then Mary is a carpenter. If Michael were a lawyer, then it is raining. If Mary were a carpenter, then Michael is a lawyer.
If it rains, then Michael is a lawyer can be inferred via the transitivity rule. If Michael were a lawyer, then Mary is a carpenter can be inferred via the transitivity rule. If Mary were a carpenter, then it is raining can be inferred via the transitivity rule.