What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_1, if x_1 cooks, then x_1 is a politician. There is at least one x_1 for which if x_1 were a police officer, then x_1 is cooking. For all x_1, if x_1 were a politician, then x_1 is a police officer.
For all x_1, if x_1 cooks, then x_1 is a police officer. There is at least one x_1 for which if x_1 were a police officer, then x_1 is a politician. There is at least one x_1 for which if x_1 were a politician, then x_1 is cooking.