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_13, x_13 will cook. For all x_13, x_13 is not a server. For all x_13, if x_13 cooks, then x_13 is poor. For all x_13, x_13 is a bartender or x_13 is a carpenter. For all x_13, if x_13 were a bartender, then x_13 is a server. For all x_13, if x_13 were a carpenter, then x_13 is excited.
For all x_13, x_13 is poor can be inferred via the universal modus ponens rule. For all x_13, x_13 is not a bartender can be inferred via the universal modus tollens rule.