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 x for which x is not a poet. For all x, x is not a carpenter or x will sleep. For all x, x is a poet or x is a carpenter.
There is at least one x for which x is a carpenter can be inferred via the existential disjunctive syllogism rule.