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, x_6 will not play a game or x_6 will listen to a song. There is at least one x_6 for which x_6 will play a game or x_6 is a mechanic. For all x_6, x_6 will play tennis or x_6 is not a mechanic. For all x_6, if x_6 listens to a song, then x_6 is playing tennis.
There is at least one x_6 for which x_6 is a mechanic or x_6 will listen to a song can be inferred via the existential resolution rule. For all x_6, if x_6 were a mechanic, then x_6 is playing tennis can be inferred via the universal rewriting rule.