What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? It is cloudy if and only if Joseph is playing tennis. Mary is excited if and only if it is cloudy.
If it is cloudy, then Joseph is playing tennis. If Mary were excited, then it is cloudy. If Joseph plays tennis, then it is cloudy. If it is cloudy, then Mary is excited.