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 a lawyer or x_11 will listen to a song. For all x_11, if x_11 listens to a song, then x_11 is drinking water. There is at least one x_11 for which if x_11 drinks water, then x_11 is a poet. For all x_11, if x_11 were a lawyer, then x_11 is a poet. For all x_11, if x_11 were a poet, then x_11 is a nurse.
For all x_11, if x_11 were a lawyer, then x_11 is a nurse can be inferred via the universal transitivity rule. There is at least one x_11 for which if x_11 drinks water, then x_11 is a nurse can be inferred via the existential transitivity rule. There is at least one x_11 for which if x_11 listens to a song, then x_11 is a poet can be inferred via the existential transitivity rule.