What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? It is raining if and only if John is a carpenter. It is cloudy if and only if John is a carpenter.
If it rains, then John is a carpenter. If it is cloudy, then John is a carpenter. If John were a carpenter, then it is raining. If John were a carpenter, then it is cloudy.