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 Michael were a poet, then Michael is playing tennis. If it is overcast, then Michael is playing tennis. If Joseph sleeps, then it is overcast. If Michael plays tennis, then Joseph is sleeping.
If Michael were a poet, then Joseph is sleeping can be inferred via the transitivity rule. If it is overcast, then Joseph is sleeping can be inferred via the transitivity rule. If Joseph sleeps, then Michael is playing tennis can be inferred via the transitivity rule. If Michael plays tennis, then it is overcast can be inferred via the transitivity rule.