MAYBE Trs: { U11(tt(), N) -> activate(N), and(tt(), X) -> activate(X), U21(tt(), M, N) -> s(plus(activate(N), activate(M))), 0() -> n__0(), plus(N, 0()) -> U11(isNat(N), N), plus(N, s(M)) -> U21(and(isNat(M), n__isNat(N)), M, N), plus(X1, X2) -> n__plus(X1, X2), isNat(n__0()) -> tt(), isNat(n__plus(V1, V2)) -> and(isNat(activate(V1)), n__isNat(activate(V2))), isNat(n__s(V1)) -> isNat(activate(V1)), isNat(X) -> n__isNat(X), s(X) -> n__s(X), activate(n__0()) -> 0(), activate(n__plus(X1, X2)) -> plus(X1, X2), activate(n__isNat(X)) -> isNat(X), activate(n__s(X)) -> s(X), activate(X) -> X} Comment: We consider a duplicating trs. FAIL: Open