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 rains, then it is late. If it is cold, then it is raining. It is windy. If it is late, then it is cold. If it rains, then it is not windy.
It is not raining can be inferred via the modus tollens rule. If it rains, then it is cold can be inferred via the transitivity rule. If it is cold, then it is late can be inferred via the transitivity rule. If it is cold, then it is not windy can be inferred via the transitivity rule. If it is late, then it is raining can be inferred via the transitivity rule.