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: For all x_5, if x_5 were a lawyer, then x_5 is excited. For all x_5, if x_5 were an astronaut, then x_5 is an office clerk. For all x_5, x_5 is a lawyer. For all x_5, if x_5 were excited, then x_5 is an astronaut.
For all x_5, x_5 is excited can be inferred via the universal modus ponens rule. For all x_5, if x_5 were a lawyer, then x_5 is an astronaut can be inferred via the universal transitivity rule. For all x_5, if x_5 were excited, then x_5 is an office clerk can be inferred via the universal transitivity rule.