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: Linda is cooking. For all x_17, if x_17 cooks, then x_17 is an astronaut. If Linda were an astronaut, then John is a poet. If John were a poet, then Linda is cooking.
If Linda were an astronaut, then Linda is cooking can be inferred via the transitivity rule. There is at least one x for which x will cook can be inferred via the existential generalization rule.