MAYBE Trs: { U11(mark(X1), X2, X3) -> U11(X1, X2, X3), U11(active(X1), X2, X3) -> U11(X1, X2, X3), U11(X1, mark(X2), X3) -> U11(X1, X2, X3), U11(X1, active(X2), X3) -> U11(X1, X2, X3), U11(X1, X2, mark(X3)) -> U11(X1, X2, X3), U11(X1, X2, active(X3)) -> U11(X1, X2, X3), U12(mark(X1), X2) -> U12(X1, X2), U12(active(X1), X2) -> U12(X1, X2), U12(X1, mark(X2)) -> U12(X1, X2), U12(X1, active(X2)) -> U12(X1, X2), isNat(mark(X)) -> isNat(X), isNat(active(X)) -> isNat(X), U13(mark(X)) -> U13(X), U13(active(X)) -> U13(X), U21(mark(X1), X2) -> U21(X1, X2), U21(active(X1), X2) -> U21(X1, X2), U21(X1, mark(X2)) -> U21(X1, X2), U21(X1, active(X2)) -> U21(X1, X2), U22(mark(X)) -> U22(X), U22(active(X)) -> U22(X), U31(mark(X1), X2) -> U31(X1, X2), U31(active(X1), X2) -> U31(X1, X2), U31(X1, mark(X2)) -> U31(X1, X2), U31(X1, active(X2)) -> U31(X1, X2), U41(mark(X1), X2, X3) -> U41(X1, X2, X3), U41(active(X1), X2, X3) -> U41(X1, X2, X3), U41(X1, mark(X2), X3) -> U41(X1, X2, X3), U41(X1, active(X2), X3) -> U41(X1, X2, X3), U41(X1, X2, mark(X3)) -> U41(X1, X2, X3), U41(X1, X2, active(X3)) -> U41(X1, X2, X3), s(mark(X)) -> s(X), s(active(X)) -> s(X), plus(mark(X1), X2) -> plus(X1, X2), plus(active(X1), X2) -> plus(X1, X2), plus(X1, mark(X2)) -> plus(X1, X2), plus(X1, active(X2)) -> plus(X1, X2), and(mark(X1), X2) -> and(X1, X2), and(active(X1), X2) -> and(X1, X2), and(X1, mark(X2)) -> and(X1, X2), and(X1, active(X2)) -> and(X1, X2), mark(tt()) -> active(tt()), mark(0()) -> active(0()), mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)), mark(U12(X1, X2)) -> active(U12(mark(X1), X2)), mark(isNat(X)) -> active(isNat(X)), mark(U13(X)) -> active(U13(mark(X))), mark(U21(X1, X2)) -> active(U21(mark(X1), X2)), mark(U22(X)) -> active(U22(mark(X))), mark(U31(X1, X2)) -> active(U31(mark(X1), X2)), mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3)), mark(s(X)) -> active(s(mark(X))), mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))), mark(and(X1, X2)) -> active(and(mark(X1), X2)), mark(isNatKind(X)) -> active(isNatKind(X)), active(U11(tt(), V1, V2)) -> mark(U12(isNat(V1), V2)), active(U12(tt(), V2)) -> mark(U13(isNat(V2))), active(isNat(0())) -> mark(tt()), active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)), active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)), active(U13(tt())) -> mark(tt()), active(U21(tt(), V1)) -> mark(U22(isNat(V1))), active(U22(tt())) -> mark(tt()), active(U31(tt(), N)) -> mark(N), active(U41(tt(), M, N)) -> mark(s(plus(N, M))), active(plus(N, 0())) -> mark(U31(and(isNat(N), isNatKind(N)), N)), active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)), active(and(tt(), X)) -> mark(X), active(isNatKind(0())) -> mark(tt()), active(isNatKind(s(V1))) -> mark(isNatKind(V1)), active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))), isNatKind(mark(X)) -> isNatKind(X), isNatKind(active(X)) -> isNatKind(X)} Comment: We consider a duplicating trs. FAIL: Open