What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_9, if x_9 goes running, then x_9 is cooking. For all x_9, x_9 is excited if and only if x_9 will go running. For all x_9, if x_9 cooks, then x_9 is running. For all x_9, x_9 is not a politician. For all x_9, if x_9 cooks, then x_9 is a politician.
For all x_9, x_9 will not cook. For all x_9, if x_9 goes running, then x_9 is a politician. For all x_9, x_9 will go running if and only if x_9 will cook. For all x_9, x_9 will cook if and only if x_9 will go running. For all x_9, if x_9 were excited, then x_9 is running. For all x_9, if x_9 goes running, then x_9 is excited.