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_11, x_11 is a carpenter or x_11 is curious. For all x_11, x_11 is sad. There is at least one x_11 for which if x_11 were sad, then x_11 is playing a game. For all x_11, x_11 is not a carpenter.
There is at least one x_11 for which x_11 will play a game can be inferred via the existential modus ponens rule. For all x_11, x_11 is curious can be inferred via the universal disjunctive syllogism rule.