TRS: { and(tt(), X) -> activate(X), plus(N, 0()) -> N, plus(N, s(M)) -> s(plus(N, M)), x(N, 0()) -> 0(), x(N, s(M)) -> plus(x(N, M), N), activate(X) -> X} Cdiprover: Interpretation class: pizerosimplemixed Complexity bound: POLYTIME COMPUTABLE x(X7, X6) = + 0*X7^2 + 0*X6^2 + 1*X7 + 0 + 2*X6 + 1*X6*X7 s(X5) = + 1*X5 + 3 0 = + 4 plus(X4, X3) = + 0*X4^2 + 0*X3^2 + 1*X4 + 2 + 3*X3 + 0*X3*X4 tt = + 1 and(X2, X1) = + 0*X2^2 + 2*X1^2 + 1*X2 + 1 + 1*X1 + 0*X1*X2 activate(X0) = + 2*X0^2 + 1 + 1*X0 Qed