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 it is late, then Karen is a mechanic. If it rains, then David is cooking. If Karen were a mechanic, then it is raining. If David were a bartender, then it is late.
If it is late, then it is raining can be inferred via the transitivity rule. If Karen were a mechanic, then David is cooking can be inferred via the transitivity rule. If David were a bartender, then Karen is a mechanic can be inferred via the transitivity rule.