ordered Cons x' Cons x xs ordered[Ite] < x' x Cons x' Cons x xs ordered Cons x Nil True ordered Nil True notEmpty Cons x xs True notEmpty Nil False goal xs ordered xs < S x S y < x y < 0 S y True < x 0 False ordered[Ite] True Cons x xs ordered xs ordered[Ite] False xs False ordered[Ite] 2 True 0 < 2 S 1 Cons 2 Nil 0 0 0 ordered 1 notEmpty 1 goal 1 False 0 INNERMOST Frederiksen_Glenstrup/ordered_better.tml.trs