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_8, x_8 is a musician or x_8 is poor. There is at least one x_8 for which x_8 is a musician if and only if x_8 will go running. For all x_8, x_8 will go running or x_8 is not poor.
For all x_8, if x_8 were poor, then x_8 is running can be inferred via the universal rewriting rule. There is at least one x_8 for which if x_8 were a musician, then x_8 is running can be inferred via the existential biconditional elimination rule. There is at least one x_8 for which if x_8 goes running, then x_8 is a musician can be inferred via the existential biconditional elimination rule.