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 David is a janitor. If David were a janitor, then David is a musician. If it is cold, then it is late. If David were a musician, then it is cold.
If it is late, then David is a musician can be inferred via the transitivity rule. If David were a janitor, then it is cold can be inferred via the transitivity rule. If it is cold, then David is a janitor can be inferred via the transitivity rule. If David were a musician, then it is late can be inferred via the transitivity rule.