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: It is late or William is poor. It is not late or Jessica is a soldier. If Charles sleeps, then William is poor. If Jessica were a soldier, then Charles is sleeping. If William were poor, then Charles is sleeping.
If Jessica were a soldier, then William is poor can be inferred via the transitivity rule. William is poor or Jessica is a soldier can be inferred via the resolution rule. Charles is sleeping if and only if William is poor can be inferred via the biconditional introduction rule. William is poor if and only if Charles is sleeping can be inferred via the biconditional introduction rule.