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 an artist if and only if x_11 will play squash. There is at least one x_11 for which x_11 is a writer if and only if x_11 is a poet. For all x_11, x_11 is not an artist. For all x_11, x_11 is a poet if and only if x_11 will play squash.
For all x_11, if x_11 were an artist, then x_11 is playing squash can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were a poet, then x_11 is playing squash can be inferred via the universal biconditional elimination rule. There is at least one x_11 for which if x_11 were a writer, then x_11 is a poet can be inferred via the existential biconditional elimination rule. For all x_11, if x_11 plays squash, then x_11 is an artist can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 plays squash, 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 were a poet, then x_11 is a writer can be inferred via the existential biconditional elimination rule. For all x_11, x_11 will not play squash can be inferred via the universal biconditional elimination rule.