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, x_6 will play squash or x_6 will not cook. There is at least one x_6 for which x_6 will not play squash. For all x_6, if x_6 plays squash, then x_6 is listening to a song. For all x_6, if x_6 listens to a song, then x_6 is cooking.
For all x_6, if x_6 plays squash, then x_6 is cooking can be inferred via the universal transitivity rule. For all x_6, if x_6 cooks, then x_6 is playing squash can be inferred via the universal rewriting rule.