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_11, if x_11 were a soldier, then x_11 is working. For all x_11, x_11 will sleep or x_11 will take a plane. For all x_11, x_11 will work or x_11 is not a carpenter. For all x_11, x_11 will not sleep or x_11 is a carpenter. There is at least one x_11 for which if x_11 takes a plane, then x_11 is a soldier.
There is at least one x_11 for which if x_11 takes a plane, then x_11 is working can be inferred via the existential transitivity rule. For all x_11, x_11 will take a plane or x_11 is a carpenter can be inferred via the universal resolution rule. For all x_11, if x_11 were a carpenter, then x_11 is working can be inferred via the universal rewriting rule.