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 sleeps, then x_5 is a poet. For all x_5, if x_5 were a lawyer, then x_5 is playing a game. For all x_5, if x_5 plays a game, then x_5 is sleeping. For all x_5, if x_5 were a poet, then x_5 is playing squash.
For all x_5, if x_5 sleeps, then x_5 is playing squash can be inferred via the universal transitivity rule. For all x_5, if x_5 were a lawyer, then x_5 is sleeping can be inferred via the universal transitivity rule. For all x_5, if x_5 plays a game, then x_5 is a poet can be inferred via the universal transitivity rule.