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 Joseph goes running, then Charles is playing tennis. If it is late, then Elisabeth is reading a book. If David were a lawyer, then Joseph is running. If Elisabeth reads a book, then David is a lawyer.
If it is late, then David is a lawyer can be inferred via the transitivity rule. If David were a lawyer, then Charles is playing tennis can be inferred via the transitivity rule. If Elisabeth reads a book, then Joseph is running can be inferred via the transitivity rule.