MAYBE MAYBE TRS: { U12(tt()) -> tt(), isNat() -> U11(isNat()), isNat() -> tt(), isNat() -> U21(isNat()), U11(tt()) -> U12(isNat()), U21(tt()) -> tt(), U31(tt()) -> N, U42(tt()) -> s(plus(N, M)), U41(tt()) -> U42(isNat()), plus(N, s(M)) -> U41(isNat()), plus(N, 0()) -> U31(isNat()) } DUP: We consider a duplicating system. Trs: { U12(tt()) -> tt(), isNat() -> U11(isNat()), isNat() -> tt(), isNat() -> U21(isNat()), U11(tt()) -> U12(isNat()), U21(tt()) -> tt(), U31(tt()) -> N, U42(tt()) -> s(plus(N, M)), U41(tt()) -> U42(isNat()), plus(N, s(M)) -> U41(isNat()), plus(N, 0()) -> U31(isNat()) } Fail