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: Charles is a bartender if and only if it is cloudy. Elisabeth is a soldier or it is cloudy. If Elisabeth were a soldier, then it is cold. It is not cold.
Elisabeth is not a soldier can be inferred via the modus tollens rule. If Charles were a bartender, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then Charles is a bartender can be inferred via the biconditional elimination rule.