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