What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_8, x_8 is a scientist if and only if x_8 is rich. There is at least one x_8 for which x_8 is a scientist if and only if x_8 is rich.
For all x_8, if x_8 were a scientist, then x_8 is rich. There is at least one x_8 for which if x_8 were a scientist, then x_8 is rich. For all x_8, if x_8 were rich, then x_8 is a scientist. There is at least one x_8 for which if x_8 were rich, then x_8 is a scientist.