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: Mary is playing a game. If Mary plays a game, then it is late. For all z, z is a poet and z will sleep.
It is late can be inferred via the modus ponens rule. For all z, z is a poet can be inferred via the universal simplification rule. For all z, z will sleep can be inferred via the universal simplification rule.