What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_11, if x_11 were a scientist, then x_11 is sleeping. For all x_11, if x_11 cooks, then x_11 is a cashier. For all x_11, if x_11 sleeps, then x_11 is cooking. There is at least one x_11 for which if x_11 were a cashier, then x_11 is cooking.
For all x_11, if x_11 were a scientist, then x_11 is cooking. For all x_11, if x_11 sleeps, then x_11 is a cashier. There is at least one x_11 for which x_11 is a cashier if and only if x_11 will cook. There is at least one x_11 for which x_11 will cook if and only if x_11 is a cashier.