;; IVY operation: REFUTE
;;
;; Refute "there is a noncommutative xx=e group".

(and (= (f (e) x) x)
     (= (f (g x) x) (e))
     (= (f (f x y) z) (f x (f y z)))
     (= (f x x) (e))
     (= x x)

     (exists x (exists y (not (= (f x y) (f y x))))))
