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_4, x_4 is not a carpenter. For all x_4, x_4 will not play squash or x_4 will cook. For all x_4, if x_4 takes a plane, then x_4 is a carpenter. There is at least one x_4 for which x_4 will play squash or x_4 will take a plane.
For all x_4, x_4 will not take a plane can be inferred via the universal modus tollens rule. There is at least one x_4 for which x_4 will take a plane or x_4 will cook can be inferred via the existential resolution rule.