What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_7, if x_7 were a politician, then x_7 is working. For all x_7, if x_7 works, then x_7 is a politician. For all x_7, if x_7 were rich, then x_7 is working. There is at least one x_7 for which if x_7 works, then x_7 is rich. For all x_7, x_7 is not a politician.
For all x_7, x_7 will not work. For all x_7, if x_7 were rich, then x_7 is a politician. There is at least one x_7 for which if x_7 were a politician, then x_7 is rich. For all x_7, x_7 is a politician if and only if x_7 will work. For all x_7, x_7 will work if and only if x_7 is a politician. There is at least one x_7 for which x_7 will work if and only if x_7 is rich. There is at least one x_7 for which x_7 is rich if and only if x_7 will work.