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 cloudy, then Joseph is making tea. If Linda reads a book, then it is raining. If Susan were a lawyer, then it is cloudy. If it rains, then William is an office clerk. If William were an office clerk, then Susan is a lawyer.
If Linda reads a book, then William is an office clerk can be inferred via the transitivity rule. If Susan were a lawyer, then Joseph is making tea can be inferred via the transitivity rule. If it rains, then Susan is a lawyer can be inferred via the transitivity rule. If William were an office clerk, then it is cloudy can be inferred via the transitivity rule.