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_7 for which x_7 is not a soldier or x_7 will play squash. For all x_7, x_7 will cook or x_7 will not listen to a song. For all x_7, if x_7 plays squash, then x_7 is cooking. For all x_7, x_7 is a soldier or x_7 will listen to a song.
There is at least one x_7 for which x_7 will listen to a song or x_7 will play squash can be inferred via the existential resolution rule. For all x_7, if x_7 listens to a song, then x_7 is cooking can be inferred via the universal rewriting rule.