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: Karen is drinking water if and only if it is cloudy. It is not cloudy. If Mary drives a car, then Karen is drinking water. If Karen drinks water, then Mary is driving a car.
Mary is driving a car if and only if Karen is drinking water can be inferred via the biconditional introduction rule. Karen is drinking water if and only if Mary is driving a car can be inferred via the biconditional introduction rule. If Karen drinks water, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then Karen is drinking water can be inferred via the biconditional elimination rule. Karen is not drinking water can be inferred via the biconditional elimination rule.