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_8, x_8 will not climb a mountain or x_8 is a soldier. For all x_8, if x_8 were a soldier, then x_8 is playing a game. For all x_8, x_8 will climb a mountain or x_8 is a doctor. For all x_8, x_8 will play a game or x_8 is not a doctor.
For all x_8, x_8 is a doctor or x_8 is a soldier can be inferred via the universal resolution rule. For all x_8, if x_8 were a doctor, then x_8 is playing a game can be inferred via the universal rewriting rule.