YES O(n^2) TRS: { .(x, 1()) -> x, .(x, i(x)) -> 1(), .(y, .(i(y), z)) -> z, .(1(), x) -> x, .(i(x), x) -> 1(), .(i(y), .(y, z)) -> z, i(1()) -> 1(), i(i(x)) -> x } Natural interpretation: Strict: { .(x, 1()) -> x, .(x, i(x)) -> 1(), .(y, .(i(y), z)) -> z, .(1(), x) -> x, .(i(x), x) -> 1(), .(i(y), .(y, z)) -> z, i(1()) -> 1(), i(i(x)) -> x } Weak: {} Interpretation class: deltarestricted [i](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 1*delta [1](delta) = + 0 + 0*delta [.](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 0*X1*delta + 1*delta i_tau_1(delta) = delta/(1 + 0 * delta) ._tau_1(delta) = delta/(1 + 0 * delta)._tau_2(delta) = delta/(1 + 0 * delta) Qed