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: There is at least one x_7 for which if x_7 plays squash, then x_7 is a politician. For all x_7, x_7 is a mechanic or x_7 will go running. For all x_7, if x_7 makes tea, then x_7 is a politician. For all x_7, x_7 is not a mechanic or x_7 will make tea. For all x_7, if x_7 goes running, then x_7 is playing squash.
There is at least one x_7 for which if x_7 goes running, then x_7 is a politician can be inferred via the existential transitivity rule. For all x_7, x_7 will go running or x_7 will make tea can be inferred via the universal resolution rule.