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: There is at least one z for which z will not go running. For all z, if z drinks water, then z is running. For all z, if z were a janitor, then z is drinking water. For all z, if z goes running, then z is a janitor.
There is at least one z for which z will not drink water can be inferred via the existential modus tollens rule. For all z, if z drinks water, then z is a janitor can be inferred via the universal transitivity rule. For all z, if z were a janitor, then z is running can be inferred via the universal transitivity rule. For all z, if z goes running, then z is drinking water can be inferred via the universal transitivity rule.