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, if x_8 plays squash, then x_8 is an office clerk. There is at least one x_8 for which if x_8 were a scientist, then x_8 is playing squash. For all x_8, x_8 is a scientist. For all x_8, if x_8 were an office clerk, then x_8 is a scientist.
There is at least one x_8 for which x_8 will play squash can be inferred via the existential modus ponens rule. For all x_8, if x_8 plays squash, then x_8 is a scientist can be inferred via the universal transitivity rule. There is at least one x_8 for which if x_8 were a scientist, then x_8 is an office clerk can be inferred via the existential transitivity rule. There is at least one x_8 for which if x_8 were an office clerk, then x_8 is playing squash can be inferred via the existential transitivity rule.