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_5, if x_5 were an office clerk, then x_5 is a musician. For all x_5, x_5 is a musician or x_5 will not cook. There is at least one x_5 for which x_5 will listen to a song or x_5 will cook. For all x_5, x_5 will not listen to a song or x_5 is an office clerk.
There is at least one x_5 for which x_5 will cook or x_5 is an office clerk can be inferred via the existential resolution rule. For all x_5, if x_5 cooks, then x_5 is a musician can be inferred via the universal rewriting rule.