YES O(n^3) TRS: {h(x, x) -> x, f(x, y) -> h(x, y), f(x, y) -> h(y, x)} DUP: We consider a non-duplicating system. Trs: {h(x, x) -> x, f(x, y) -> h(x, y), f(x, y) -> h(y, x)} Matrix Interpretation: Interpretation class: triangular [X5] [X2] [1 2 0][X5] [1 0 0][X2] [2] [f]([X4], [X1]) = [0 1 0][X4] + [0 1 0][X1] + [0] [X3] [X0] [0 0 1][X3] [0 0 1][X0] [2] [X5] [X2] [1 0 0][X5] [1 0 0][X2] [1] [h]([X4], [X1]) = [0 1 0][X4] + [0 0 0][X1] + [0] [X3] [X0] [0 0 1][X3] [0 0 0][X0] [0] Qed