YES O(n^5) 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 [X9] [X4] [1 3 0 2 2][X9] [1 3 0 2 0][X4] [3] [X8] [X3] [0 1 0 0 0][X8] [0 1 0 0 0][X3] [2] [f]([X7], [X2]) = [0 0 1 0 0][X7] + [0 0 1 0 0][X2] + [0] [X6] [X1] [0 0 0 1 1][X6] [0 0 0 1 2][X1] [2] [X5] [X0] [0 0 0 0 1][X5] [0 0 0 0 1][X0] [0] [X9] [X4] [1 1 0 2 0][X9] [1 3 0 0 0][X4] [2] [X8] [X3] [0 1 0 0 0][X8] [0 0 0 0 0][X3] [2] [h]([X7], [X2]) = [0 0 1 0 0][X7] + [0 0 0 0 0][X2] + [0] [X6] [X1] [0 0 0 0 0][X6] [0 0 0 1 0][X1] [0] [X5] [X0] [0 0 0 0 0][X5] [0 0 0 0 1][X0] [0] Qed