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 make tea or x_6 will listen to a song. For all x_6, if x_6 were bored, then x_6 is working. There is at least one x_6 for which x_6 will not make tea or x_6 is bored. For all x_6, if x_6 were a nurse, then x_6 is working. For all x_6, x_6 will not listen to a song or x_6 is a nurse.
There is at least one x_6 for which x_6 will listen to a song or x_6 is bored can be inferred via the existential resolution rule.