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: If Elisabeth sleeps, then Jessica is not drinking water. Jessica is drinking water. It is raining if and only if it is late. It is not cloudy. It is raining if and only if it is cloudy.
Elisabeth is not sleeping can be inferred via the modus tollens rule. Jessica is drinking water and it is not cloudy can be inferred via the conjunction rule. It is not cloudy and Jessica is drinking water can be inferred via the conjunction rule. If it rains, then it is late can be inferred via the biconditional elimination rule. If it rains, then it is cloudy can be inferred via the biconditional elimination rule. If it is late, then it is raining can be inferred via the biconditional elimination rule. If it is cloudy, then it is raining can be inferred via the biconditional elimination rule. It is not raining can be inferred via the biconditional elimination rule.