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 Thomas makes tea, then John is sad. If it rains, then it is cold. If it is cold, then Thomas is making tea. It is raining or John is not sad.
If it rains, then Thomas is making tea can be inferred via the transitivity rule. If it is cold, then John is sad can be inferred via the transitivity rule. If John were sad, then it is raining can be inferred via the rewriting rule.