YES O(n^2) TRS: { i(div(X, Y)) -> div(Y, X), div(X, e()) -> i(X), div(div(X, Y), Z) -> div(Y, div(i(X), Z)) } DUP: We consider a non-duplicating system. Trs: { i(div(X, Y)) -> div(Y, X), div(X, e()) -> i(X), div(div(X, Y), Z) -> div(Y, div(i(X), Z)) } Matrix Interpretation: Interpretation class: triangular [1] [e] = [0] [X3] [X1] [1 1][X3] [1 0][X1] [0] [div]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1] [X1] [1 1][X1] [0] [i]([X0]) = [0 1][X0] + [0] Qed