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_11, x_11 is not a poet. There is at least one x_11 for which x_11 will listen to a song if and only if x_11 will play tennis. For all x_11, x_11 will play tennis or x_11 will make tea. For all x_11, x_11 is a poet if and only if x_11 will listen to a song.
For all x_11, if x_11 were a poet, then x_11 is listening to a song can be inferred via the universal biconditional elimination rule. There is at least one x_11 for which if x_11 listens to a song, then x_11 is playing tennis can be inferred via the existential biconditional elimination rule. For all x_11, if x_11 listens to a song, then x_11 is a poet can be inferred via the universal biconditional elimination rule. There is at least one x_11 for which if x_11 plays tennis, then x_11 is listening to a song can be inferred via the existential biconditional elimination rule. For all x_11, x_11 will not listen to a song can be inferred via the universal biconditional elimination rule.