YES O(n^4) TRS: { minus(minus(x)) -> x, minus(h(x)) -> h(minus(x)), minus(f(x, y)) -> f(minus(y), minus(x)) } DUP: We consider a non-duplicating system. Trs: { minus(minus(x)) -> x, minus(h(x)) -> h(minus(x)), minus(f(x, y)) -> f(minus(y), minus(x)) } Matrix Interpretation: Interpretation class: triangular [X7] [X3] [1 0 0 0][X7] [1 0 0 0][X3] [0] [X6] [X2] [0 0 0 0][X6] [0 0 0 0][X2] [0] [f]([X5], [X1]) = [0 0 1 0][X5] + [0 0 1 0][X1] + [0] [X4] [X0] [0 0 0 1][X4] [0 0 0 1][X0] [1] [X3] [1 0 0 0][X3] [0] [X2] [0 0 0 0][X2] [0] [h]([X1]) = [0 0 1 1][X1] + [1] [X0] [0 0 0 1][X0] [1] [X3] [1 0 1 1][X3] [0] [X2] [0 1 1 0][X2] [0] [minus]([X1]) = [0 0 1 1][X1] + [1] [X0] [0 0 0 1][X0] [0] Qed