What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_10, x_10 will cook or x_10 is not a soldier. There is at least one x_10 for which x_10 is a soldier and x_10 is happy.
There is at least one x_10 for which x_10 is a soldier can be inferred via the existential simplification rule. There is at least one x_10 for which x_10 is happy can be inferred via the existential simplification rule. For all x_10, if x_10 were a soldier, then x_10 is cooking can be inferred via the universal rewriting rule.