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, if x_6 were a musician, then x_6 is working. For all x_6, if x_6 were rich, then x_6 is a police officer. For all x_6, if x_6 were a police officer, then x_6 is running. There is at least one x_6 for which if x_6 works, then x_6 is rich.
For all x_6, if x_6 were rich, then x_6 is running can be inferred via the universal transitivity rule. There is at least one x_6 for which if x_6 works, then x_6 is a police officer can be inferred via the existential transitivity rule. There is at least one x_6 for which if x_6 were a musician, then x_6 is rich can be inferred via the existential transitivity rule.