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, x is a carpenter or x will not cook. There is at least one x for which x will cook or x is not a carpenter.
For all x, if x cooks, then x is a carpenter can be inferred via the universal rewriting rule. There is at least one x for which if x were a carpenter, then x is cooking can be inferred via the existential rewriting rule.