What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_2, x_2 will cook. There is at least one x_2 for which x_2 will go running if and only if x_2 will cook. For all x_2, x_2 will write a letter.
For all x_2, x_2 will cook and x_2 will write a letter. For all x_2, x_2 will write a letter and x_2 will cook. There is at least one x_2 for which if x_2 goes running, then x_2 is cooking. There is at least one x_2 for which if x_2 cooks, then x_2 is running.