What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_6, if x_6 goes running, then x_6 is playing a game. There is at least one x_6 for which x_6 will cook if and only if x_6 will work. For all x_6, if x_6 cooks, then x_6 is running.
For all x_6, if x_6 cooks, then x_6 is playing a game. There is at least one x_6 for which if x_6 cooks, then x_6 is working. There is at least one x_6 for which if x_6 works, then x_6 is cooking.