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_8 for which x_8 is a musician or x_8 is not a scientist. For all x_8, x_8 is a cashier or x_8 is rich. For all x_8, if x_8 were rich, then x_8 is a scientist. For all x_8, if x_8 were a cashier, then x_8 is a musician.
There is at least one x_8 for which if x_8 were a scientist, then x_8 is a musician can be inferred via the existential rewriting rule.