YES O(n^3) TRS: { d(x) -> e(u(x)), d(u(x)) -> c(x), c(u(x)) -> b(x), b(u(x)) -> a(e(x)), v(e(x)) -> x } DUP: We consider a non-duplicating system. Trs: { d(x) -> e(u(x)), d(u(x)) -> c(x), c(u(x)) -> b(x), b(u(x)) -> a(e(x)), v(e(x)) -> x } Matrix Interpretation: Interpretation class: triangular [X2] [1 0 0][X2] [0] [a]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [0] [X2] [1 1 0][X2] [0] [v]([X1]) = [0 1 0][X1] + [1] [X0] [0 0 1][X0] [0] [X2] [1 0 1][X2] [0] [b]([X1]) = [0 0 0][X1] + [1] [X0] [0 0 0][X0] [0] [X2] [1 0 0][X2] [1] [c]([X1]) = [0 0 0][X1] + [1] [X0] [0 0 0][X0] [0] [X2] [1 0 1][X2] [1] [d]([X1]) = [0 0 0][X1] + [1] [X0] [0 0 0][X0] [1] [X2] [1 0 1][X2] [0] [u]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [1] [X2] [1 0 0][X2] [0] [e]([X1]) = [0 1 0][X1] + [1] [X0] [0 0 1][X0] [0] Qed