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: John is a soldier. It is cloudy if and only if it is snowing. If John were a soldier, then James is a bartender. It is not raining. If it snows, then it is raining.
James is a bartender can be inferred via the modus ponens rule. It is not snowing can be inferred via the modus tollens rule. John is a soldier and it is not raining can be inferred via the conjunction rule. It is not raining and John is a soldier can be inferred via the conjunction rule. If it is cloudy, then it is snowing can be inferred via the biconditional elimination rule. If it snows, then it is cloudy can be inferred via the biconditional elimination rule.