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_6, if x_6 were a scientist, then x_6 is playing squash. For all x_6, if x_6 plays squash, then x_6 is working. There is at least one x_6 for which x_6 is a scientist or x_6 will not work.
For all x_6, if x_6 were a scientist, then x_6 is working can be inferred via the universal transitivity rule. There is at least one x_6 for which if x_6 works, then x_6 is a scientist can be inferred via the existential rewriting rule.