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 excited. There is at least one x_11 for which x_11 will cook. For all x_11, x_11 is a carpenter.
For all x_11, x_11 is excited and x_11 is a carpenter can be inferred via the universal conjunction rule. For all x_11, x_11 is a carpenter and x_11 is excited can be inferred via the universal conjunction rule. There is at least one x_11 for which x_11 will cook and x_11 is excited can be inferred via the existential conjunction rule. There is at least one x_11 for which x_11 will cook and x_11 is a carpenter can be inferred via the existential conjunction rule. There is at least one x_11 for which x_11 is excited and x_11 will cook can be inferred via the existential conjunction rule. Some carpenters will cook can be inferred via the existential conjunction rule.