MAYBE MAYBE TRS: { U12(tt(), M, N) -> s(plus(activate(N), activate(M))), activate(X) -> X, U11(tt(), M, N) -> U12(tt(), activate(M), activate(N)), plus(N, s(M)) -> U11(tt(), M, N), plus(N, 0()) -> N } DUP: We consider a non-duplicating system. Trs: { U12(tt(), M, N) -> s(plus(activate(N), activate(M))), activate(X) -> X, U11(tt(), M, N) -> U12(tt(), activate(M), activate(N)), plus(N, s(M)) -> U11(tt(), M, N), plus(N, 0()) -> N } Fail