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_6, if x_6 plays a game, then x_6 is a lawyer. For all x_6, x_6 is a carpenter or x_6 will sleep. For all x_6, x_6 is not a carpenter. For all x_6, if x_6 were a sailor, then x_6 is a lawyer. For all x_6, x_6 is a sailor or x_6 will play a game.
For all x_6, x_6 will sleep can be inferred via the universal disjunctive syllogism rule. For all x_6, x_6 is a lawyer can be inferred via the universal disjunction elimination rule.