MAYBE MAYBE TRS: { U102(mark(X1), X2, X3) -> mark(U102(X1, X2, X3)), U102(ok(X1), ok(X2), ok(X3)) -> ok(U102(X1, X2, X3)), isNatKind(ok(X)) -> ok(isNatKind(X)), active(U102(X1, X2, X3)) -> U102(active(X1), X2, X3), active(U102(tt(), M, N)) -> mark(U103(isNat(N), M, N)), active(isNatKind(plus(V1, V2))) -> mark(U41(isNatKind(V1), V2)), active(isNatKind(x(V1, V2))) -> mark(U61(isNatKind(V1), V2)), active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1))), active(isNatKind(0())) -> mark(tt()), active(U101(X1, X2, X3)) -> U101(active(X1), X2, X3), active(U101(tt(), M, N)) -> mark(U102(isNatKind(M), M, N)), active(U103(X1, X2, X3)) -> U103(active(X1), X2, X3), active(U103(tt(), M, N)) -> mark(U104(isNatKind(N), M, N)), active(isNat(plus(V1, V2))) -> mark(U11(isNatKind(V1), V1, V2)), active(isNat(x(V1, V2))) -> mark(U31(isNatKind(V1), V1, V2)), active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)), active(isNat(0())) -> mark(tt()), active(U104(X1, X2, X3)) -> U104(active(X1), X2, X3), active(U104(tt(), M, N)) -> mark(plus(x(N, M), N)), active(plus(N, s(M))) -> mark(U81(isNat(M), M, N)), active(plus(N, 0())) -> mark(U71(isNat(N), N)), active(plus(X1, X2)) -> plus(X1, active(X2)), active(plus(X1, X2)) -> plus(active(X1), X2), active(x(N, s(M))) -> mark(U101(isNat(M), M, N)), active(x(N, 0())) -> mark(U91(isNat(N), N)), active(x(X1, X2)) -> x(X1, active(X2)), active(x(X1, X2)) -> x(active(X1), X2), active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3), active(U12(tt(), V1, V2)) -> mark(U13(isNatKind(V2), V1, V2)), active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3), active(U11(tt(), V1, V2)) -> mark(U12(isNatKind(V1), V1, V2)), active(U13(X1, X2, X3)) -> U13(active(X1), X2, X3), active(U13(tt(), V1, V2)) -> mark(U14(isNatKind(V2), V1, V2)), active(U14(X1, X2, X3)) -> U14(active(X1), X2, X3), active(U14(tt(), V1, V2)) -> mark(U15(isNat(V1), V2)), active(U15(X1, X2)) -> U15(active(X1), X2), active(U15(tt(), V2)) -> mark(U16(isNat(V2))), active(U16(X)) -> U16(active(X)), active(U16(tt())) -> mark(tt()), active(U22(X1, X2)) -> U22(active(X1), X2), active(U22(tt(), V1)) -> mark(U23(isNat(V1))), active(U21(X1, X2)) -> U21(active(X1), X2), active(U21(tt(), V1)) -> mark(U22(isNatKind(V1), V1)), active(U23(X)) -> U23(active(X)), active(U23(tt())) -> mark(tt()), active(U32(X1, X2, X3)) -> U32(active(X1), X2, X3), active(U32(tt(), V1, V2)) -> mark(U33(isNatKind(V2), V1, V2)), active(U31(X1, X2, X3)) -> U31(active(X1), X2, X3), active(U31(tt(), V1, V2)) -> mark(U32(isNatKind(V1), V1, V2)), active(U33(X1, X2, X3)) -> U33(active(X1), X2, X3), active(U33(tt(), V1, V2)) -> mark(U34(isNatKind(V2), V1, V2)), active(U34(X1, X2, X3)) -> U34(active(X1), X2, X3), active(U34(tt(), V1, V2)) -> mark(U35(isNat(V1), V2)), active(U35(X1, X2)) -> U35(active(X1), X2), active(U35(tt(), V2)) -> mark(U36(isNat(V2))), active(U36(X)) -> U36(active(X)), active(U36(tt())) -> mark(tt()), active(U42(X)) -> U42(active(X)), active(U42(tt())) -> mark(tt()), active(U41(X1, X2)) -> U41(active(X1), X2), active(U41(tt(), V2)) -> mark(U42(isNatKind(V2))), active(U51(X)) -> U51(active(X)), active(U51(tt())) -> mark(tt()), active(U62(X)) -> U62(active(X)), active(U62(tt())) -> mark(tt()), active(U61(X1, X2)) -> U61(active(X1), X2), active(U61(tt(), V2)) -> mark(U62(isNatKind(V2))), active(U72(X1, X2)) -> U72(active(X1), X2), active(U72(tt(), N)) -> mark(N), active(U71(X1, X2)) -> U71(active(X1), X2), active(U71(tt(), N)) -> mark(U72(isNatKind(N), N)), active(U82(X1, X2, X3)) -> U82(active(X1), X2, X3), active(U82(tt(), M, N)) -> mark(U83(isNat(N), M, N)), active(U81(X1, X2, X3)) -> U81(active(X1), X2, X3), active(U81(tt(), M, N)) -> mark(U82(isNatKind(M), M, N)), active(U83(X1, X2, X3)) -> U83(active(X1), X2, X3), active(U83(tt(), M, N)) -> mark(U84(isNatKind(N), M, N)), active(U84(X1, X2, X3)) -> U84(active(X1), X2, X3), active(U84(tt(), M, N)) -> mark(s(plus(N, M))), active(s(X)) -> s(active(X)), active(U92(X)) -> U92(active(X)), active(U92(tt())) -> mark(0()), active(U91(X1, X2)) -> U91(active(X1), X2), active(U91(tt(), N)) -> mark(U92(isNatKind(N))), U101(mark(X1), X2, X3) -> mark(U101(X1, X2, X3)), U101(ok(X1), ok(X2), ok(X3)) -> ok(U101(X1, X2, X3)), U103(mark(X1), X2, X3) -> mark(U103(X1, X2, X3)), U103(ok(X1), ok(X2), ok(X3)) -> ok(U103(X1, X2, X3)), isNat(ok(X)) -> ok(isNat(X)), U104(mark(X1), X2, X3) -> mark(U104(X1, X2, X3)), U104(ok(X1), ok(X2), ok(X3)) -> ok(U104(X1, X2, X3)), plus(X1, mark(X2)) -> mark(plus(X1, X2)), plus(mark(X1), X2) -> mark(plus(X1, X2)), plus(ok(X1), ok(X2)) -> ok(plus(X1, X2)), x(X1, mark(X2)) -> mark(x(X1, X2)), x(mark(X1), X2) -> mark(x(X1, X2)), x(ok(X1), ok(X2)) -> ok(x(X1, X2)), U12(mark(X1), X2, X3) -> mark(U12(X1, X2, X3)), U12(ok(X1), ok(X2), ok(X3)) -> ok(U12(X1, X2, X3)), U11(mark(X1), X2, X3) -> mark(U11(X1, X2, X3)), U11(ok(X1), ok(X2), ok(X3)) -> ok(U11(X1, X2, X3)), U13(mark(X1), X2, X3) -> mark(U13(X1, X2, X3)), U13(ok(X1), ok(X2), ok(X3)) -> ok(U13(X1, X2, X3)), U14(mark(X1), X2, X3) -> mark(U14(X1, X2, X3)), U14(ok(X1), ok(X2), ok(X3)) -> ok(U14(X1, X2, X3)), U15(mark(X1), X2) -> mark(U15(X1, X2)), U15(ok(X1), ok(X2)) -> ok(U15(X1, X2)), U16(mark(X)) -> mark(U16(X)), U16(ok(X)) -> ok(U16(X)), U22(mark(X1), X2) -> mark(U22(X1, X2)), U22(ok(X1), ok(X2)) -> ok(U22(X1, X2)), U21(mark(X1), X2) -> mark(U21(X1, X2)), U21(ok(X1), ok(X2)) -> ok(U21(X1, X2)), U23(mark(X)) -> mark(U23(X)), U23(ok(X)) -> ok(U23(X)), U32(mark(X1), X2, X3) -> mark(U32(X1, X2, X3)), U32(ok(X1), ok(X2), ok(X3)) -> ok(U32(X1, X2, X3)), U31(mark(X1), X2, X3) -> mark(U31(X1, X2, X3)), U31(ok(X1), ok(X2), ok(X3)) -> ok(U31(X1, X2, X3)), U33(mark(X1), X2, X3) -> mark(U33(X1, X2, X3)), U33(ok(X1), ok(X2), ok(X3)) -> ok(U33(X1, X2, X3)), U34(mark(X1), X2, X3) -> mark(U34(X1, X2, X3)), U34(ok(X1), ok(X2), ok(X3)) -> ok(U34(X1, X2, X3)), U35(mark(X1), X2) -> mark(U35(X1, X2)), U35(ok(X1), ok(X2)) -> ok(U35(X1, X2)), U36(mark(X)) -> mark(U36(X)), U36(ok(X)) -> ok(U36(X)), U42(mark(X)) -> mark(U42(X)), U42(ok(X)) -> ok(U42(X)), U41(mark(X1), X2) -> mark(U41(X1, X2)), U41(ok(X1), ok(X2)) -> ok(U41(X1, X2)), U51(mark(X)) -> mark(U51(X)), U51(ok(X)) -> ok(U51(X)), U62(mark(X)) -> mark(U62(X)), U62(ok(X)) -> ok(U62(X)), U61(mark(X1), X2) -> mark(U61(X1, X2)), U61(ok(X1), ok(X2)) -> ok(U61(X1, X2)), U72(mark(X1), X2) -> mark(U72(X1, X2)), U72(ok(X1), ok(X2)) -> ok(U72(X1, X2)), U71(mark(X1), X2) -> mark(U71(X1, X2)), U71(ok(X1), ok(X2)) -> ok(U71(X1, X2)), U82(mark(X1), X2, X3) -> mark(U82(X1, X2, X3)), U82(ok(X1), ok(X2), ok(X3)) -> ok(U82(X1, X2, X3)), U81(mark(X1), X2, X3) -> mark(U81(X1, X2, X3)), U81(ok(X1), ok(X2), ok(X3)) -> ok(U81(X1, X2, X3)), U83(mark(X1), X2, X3) -> mark(U83(X1, X2, X3)), U83(ok(X1), ok(X2), ok(X3)) -> ok(U83(X1, X2, X3)), U84(mark(X1), X2, X3) -> mark(U84(X1, X2, X3)), U84(ok(X1), ok(X2), ok(X3)) -> ok(U84(X1, X2, X3)), s(mark(X)) -> mark(s(X)), s(ok(X)) -> ok(s(X)), U92(mark(X)) -> mark(U92(X)), U92(ok(X)) -> ok(U92(X)), U91(mark(X1), X2) -> mark(U91(X1, X2)), U91(ok(X1), ok(X2)) -> ok(U91(X1, X2)), proper(U102(X1, X2, X3)) -> U102(proper(X1), proper(X2), proper(X3)), proper(isNatKind(X)) -> isNatKind(proper(X)), proper(U101(X1, X2, X3)) -> U101(proper(X1), proper(X2), proper(X3)), proper(tt()) -> ok(tt()), proper(U103(X1, X2, X3)) -> U103(proper(X1), proper(X2), proper(X3)), proper(isNat(X)) -> isNat(proper(X)), proper(U104(X1, X2, X3)) -> U104(proper(X1), proper(X2), proper(X3)), proper(plus(X1, X2)) -> plus(proper(X1), proper(X2)), proper(x(X1, X2)) -> x(proper(X1), proper(X2)), proper(U12(X1, X2, X3)) -> U12(proper(X1), proper(X2), proper(X3)), proper(U11(X1, X2, X3)) -> U11(proper(X1), proper(X2), proper(X3)), proper(U13(X1, X2, X3)) -> U13(proper(X1), proper(X2), proper(X3)), proper(U14(X1, X2, X3)) -> U14(proper(X1), proper(X2), proper(X3)), proper(U15(X1, X2)) -> U15(proper(X1), proper(X2)), proper(U16(X)) -> U16(proper(X)), proper(U22(X1, X2)) -> U22(proper(X1), proper(X2)), proper(U21(X1, X2)) -> U21(proper(X1), proper(X2)), proper(U23(X)) -> U23(proper(X)), proper(U32(X1, X2, X3)) -> U32(proper(X1), proper(X2), proper(X3)), proper(U31(X1, X2, X3)) -> U31(proper(X1), proper(X2), proper(X3)), proper(U33(X1, X2, X3)) -> U33(proper(X1), proper(X2), proper(X3)), proper(U34(X1, X2, X3)) -> U34(proper(X1), proper(X2), proper(X3)), proper(U35(X1, X2)) -> U35(proper(X1), proper(X2)), proper(U36(X)) -> U36(proper(X)), proper(U42(X)) -> U42(proper(X)), proper(U41(X1, X2)) -> U41(proper(X1), proper(X2)), proper(U51(X)) -> U51(proper(X)), proper(U62(X)) -> U62(proper(X)), proper(U61(X1, X2)) -> U61(proper(X1), proper(X2)), proper(U72(X1, X2)) -> U72(proper(X1), proper(X2)), proper(U71(X1, X2)) -> U71(proper(X1), proper(X2)), proper(U82(X1, X2, X3)) -> U82(proper(X1), proper(X2), proper(X3)), proper(U81(X1, X2, X3)) -> U81(proper(X1), proper(X2), proper(X3)), proper(U83(X1, X2, X3)) -> U83(proper(X1), proper(X2), proper(X3)), proper(U84(X1, X2, X3)) -> U84(proper(X1), proper(X2), proper(X3)), proper(s(X)) -> s(proper(X)), proper(U92(X)) -> U92(proper(X)), proper(U91(X1, X2)) -> U91(proper(X1), proper(X2)), proper(0()) -> ok(0()), top(mark(X)) -> top(proper(X)), top(ok(X)) -> top(active(X)) } DUP: We consider a duplicating system. Trs: { U102(mark(X1), X2, X3) -> mark(U102(X1, X2, X3)), U102(ok(X1), ok(X2), ok(X3)) -> ok(U102(X1, X2, X3)), isNatKind(ok(X)) -> ok(isNatKind(X)), active(U102(X1, X2, X3)) -> U102(active(X1), X2, X3), active(U102(tt(), M, N)) -> mark(U103(isNat(N), M, N)), active(isNatKind(plus(V1, V2))) -> mark(U41(isNatKind(V1), V2)), active(isNatKind(x(V1, V2))) -> mark(U61(isNatKind(V1), V2)), active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1))), active(isNatKind(0())) -> mark(tt()), active(U101(X1, X2, X3)) -> U101(active(X1), X2, X3), active(U101(tt(), M, N)) -> mark(U102(isNatKind(M), M, N)), active(U103(X1, X2, X3)) -> U103(active(X1), X2, X3), active(U103(tt(), M, N)) -> mark(U104(isNatKind(N), M, N)), active(isNat(plus(V1, V2))) -> mark(U11(isNatKind(V1), V1, V2)), active(isNat(x(V1, V2))) -> mark(U31(isNatKind(V1), V1, V2)), active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)), active(isNat(0())) -> mark(tt()), active(U104(X1, X2, X3)) -> U104(active(X1), X2, X3), active(U104(tt(), M, N)) -> mark(plus(x(N, M), N)), active(plus(N, s(M))) -> mark(U81(isNat(M), M, N)), active(plus(N, 0())) -> mark(U71(isNat(N), N)), active(plus(X1, X2)) -> plus(X1, active(X2)), active(plus(X1, X2)) -> plus(active(X1), X2), active(x(N, s(M))) -> mark(U101(isNat(M), M, N)), active(x(N, 0())) -> mark(U91(isNat(N), N)), active(x(X1, X2)) -> x(X1, active(X2)), active(x(X1, X2)) -> x(active(X1), X2), active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3), active(U12(tt(), V1, V2)) -> mark(U13(isNatKind(V2), V1, V2)), active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3), active(U11(tt(), V1, V2)) -> mark(U12(isNatKind(V1), V1, V2)), active(U13(X1, X2, X3)) -> U13(active(X1), X2, X3), active(U13(tt(), V1, V2)) -> mark(U14(isNatKind(V2), V1, V2)), active(U14(X1, X2, X3)) -> U14(active(X1), X2, X3), active(U14(tt(), V1, V2)) -> mark(U15(isNat(V1), V2)), active(U15(X1, X2)) -> U15(active(X1), X2), active(U15(tt(), V2)) -> mark(U16(isNat(V2))), active(U16(X)) -> U16(active(X)), active(U16(tt())) -> mark(tt()), active(U22(X1, X2)) -> U22(active(X1), X2), active(U22(tt(), V1)) -> mark(U23(isNat(V1))), active(U21(X1, X2)) -> U21(active(X1), X2), active(U21(tt(), V1)) -> mark(U22(isNatKind(V1), V1)), active(U23(X)) -> U23(active(X)), active(U23(tt())) -> mark(tt()), active(U32(X1, X2, X3)) -> U32(active(X1), X2, X3), active(U32(tt(), V1, V2)) -> mark(U33(isNatKind(V2), V1, V2)), active(U31(X1, X2, X3)) -> U31(active(X1), X2, X3), active(U31(tt(), V1, V2)) -> mark(U32(isNatKind(V1), V1, V2)), active(U33(X1, X2, X3)) -> U33(active(X1), X2, X3), active(U33(tt(), V1, V2)) -> mark(U34(isNatKind(V2), V1, V2)), active(U34(X1, X2, X3)) -> U34(active(X1), X2, X3), active(U34(tt(), V1, V2)) -> mark(U35(isNat(V1), V2)), active(U35(X1, X2)) -> U35(active(X1), X2), active(U35(tt(), V2)) -> mark(U36(isNat(V2))), active(U36(X)) -> U36(active(X)), active(U36(tt())) -> mark(tt()), active(U42(X)) -> U42(active(X)), active(U42(tt())) -> mark(tt()), active(U41(X1, X2)) -> U41(active(X1), X2), active(U41(tt(), V2)) -> mark(U42(isNatKind(V2))), active(U51(X)) -> U51(active(X)), active(U51(tt())) -> mark(tt()), active(U62(X)) -> U62(active(X)), active(U62(tt())) -> mark(tt()), active(U61(X1, X2)) -> U61(active(X1), X2), active(U61(tt(), V2)) -> mark(U62(isNatKind(V2))), active(U72(X1, X2)) -> U72(active(X1), X2), active(U72(tt(), N)) -> mark(N), active(U71(X1, X2)) -> U71(active(X1), X2), active(U71(tt(), N)) -> mark(U72(isNatKind(N), N)), active(U82(X1, X2, X3)) -> U82(active(X1), X2, X3), active(U82(tt(), M, N)) -> mark(U83(isNat(N), M, N)), active(U81(X1, X2, X3)) -> U81(active(X1), X2, X3), active(U81(tt(), M, N)) -> mark(U82(isNatKind(M), M, N)), active(U83(X1, X2, X3)) -> U83(active(X1), X2, X3), active(U83(tt(), M, N)) -> mark(U84(isNatKind(N), M, N)), active(U84(X1, X2, X3)) -> U84(active(X1), X2, X3), active(U84(tt(), M, N)) -> mark(s(plus(N, M))), active(s(X)) -> s(active(X)), active(U92(X)) -> U92(active(X)), active(U92(tt())) -> mark(0()), active(U91(X1, X2)) -> U91(active(X1), X2), active(U91(tt(), N)) -> mark(U92(isNatKind(N))), U101(mark(X1), X2, X3) -> mark(U101(X1, X2, X3)), U101(ok(X1), ok(X2), ok(X3)) -> ok(U101(X1, X2, X3)), U103(mark(X1), X2, X3) -> mark(U103(X1, X2, X3)), U103(ok(X1), ok(X2), ok(X3)) -> ok(U103(X1, X2, X3)), isNat(ok(X)) -> ok(isNat(X)), U104(mark(X1), X2, X3) -> mark(U104(X1, X2, X3)), U104(ok(X1), ok(X2), ok(X3)) -> ok(U104(X1, X2, X3)), plus(X1, mark(X2)) -> mark(plus(X1, X2)), plus(mark(X1), X2) -> mark(plus(X1, X2)), plus(ok(X1), ok(X2)) -> ok(plus(X1, X2)), x(X1, mark(X2)) -> mark(x(X1, X2)), x(mark(X1), X2) -> mark(x(X1, X2)), x(ok(X1), ok(X2)) -> ok(x(X1, X2)), U12(mark(X1), X2, X3) -> mark(U12(X1, X2, X3)), U12(ok(X1), ok(X2), ok(X3)) -> ok(U12(X1, X2, X3)), U11(mark(X1), X2, X3) -> mark(U11(X1, X2, X3)), U11(ok(X1), ok(X2), ok(X3)) -> ok(U11(X1, X2, X3)), U13(mark(X1), X2, X3) -> mark(U13(X1, X2, X3)), U13(ok(X1), ok(X2), ok(X3)) -> ok(U13(X1, X2, X3)), U14(mark(X1), X2, X3) -> mark(U14(X1, X2, X3)), U14(ok(X1), ok(X2), ok(X3)) -> ok(U14(X1, X2, X3)), U15(mark(X1), X2) -> mark(U15(X1, X2)), U15(ok(X1), ok(X2)) -> ok(U15(X1, X2)), U16(mark(X)) -> mark(U16(X)), U16(ok(X)) -> ok(U16(X)), U22(mark(X1), X2) -> mark(U22(X1, X2)), U22(ok(X1), ok(X2)) -> ok(U22(X1, X2)), U21(mark(X1), X2) -> mark(U21(X1, X2)), U21(ok(X1), ok(X2)) -> ok(U21(X1, X2)), U23(mark(X)) -> mark(U23(X)), U23(ok(X)) -> ok(U23(X)), U32(mark(X1), X2, X3) -> mark(U32(X1, X2, X3)), U32(ok(X1), ok(X2), ok(X3)) -> ok(U32(X1, X2, X3)), U31(mark(X1), X2, X3) -> mark(U31(X1, X2, X3)), U31(ok(X1), ok(X2), ok(X3)) -> ok(U31(X1, X2, X3)), U33(mark(X1), X2, X3) -> mark(U33(X1, X2, X3)), U33(ok(X1), ok(X2), ok(X3)) -> ok(U33(X1, X2, X3)), U34(mark(X1), X2, X3) -> mark(U34(X1, X2, X3)), U34(ok(X1), ok(X2), ok(X3)) -> ok(U34(X1, X2, X3)), U35(mark(X1), X2) -> mark(U35(X1, X2)), U35(ok(X1), ok(X2)) -> ok(U35(X1, X2)), U36(mark(X)) -> mark(U36(X)), U36(ok(X)) -> ok(U36(X)), U42(mark(X)) -> mark(U42(X)), U42(ok(X)) -> ok(U42(X)), U41(mark(X1), X2) -> mark(U41(X1, X2)), U41(ok(X1), ok(X2)) -> ok(U41(X1, X2)), U51(mark(X)) -> mark(U51(X)), U51(ok(X)) -> ok(U51(X)), U62(mark(X)) -> mark(U62(X)), U62(ok(X)) -> ok(U62(X)), U61(mark(X1), X2) -> mark(U61(X1, X2)), U61(ok(X1), ok(X2)) -> ok(U61(X1, X2)), U72(mark(X1), X2) -> mark(U72(X1, X2)), U72(ok(X1), ok(X2)) -> ok(U72(X1, X2)), U71(mark(X1), X2) -> mark(U71(X1, X2)), U71(ok(X1), ok(X2)) -> ok(U71(X1, X2)), U82(mark(X1), X2, X3) -> mark(U82(X1, X2, X3)), U82(ok(X1), ok(X2), ok(X3)) -> ok(U82(X1, X2, X3)), U81(mark(X1), X2, X3) -> mark(U81(X1, X2, X3)), U81(ok(X1), ok(X2), ok(X3)) -> ok(U81(X1, X2, X3)), U83(mark(X1), X2, X3) -> mark(U83(X1, X2, X3)), U83(ok(X1), ok(X2), ok(X3)) -> ok(U83(X1, X2, X3)), U84(mark(X1), X2, X3) -> mark(U84(X1, X2, X3)), U84(ok(X1), ok(X2), ok(X3)) -> ok(U84(X1, X2, X3)), s(mark(X)) -> mark(s(X)), s(ok(X)) -> ok(s(X)), U92(mark(X)) -> mark(U92(X)), U92(ok(X)) -> ok(U92(X)), U91(mark(X1), X2) -> mark(U91(X1, X2)), U91(ok(X1), ok(X2)) -> ok(U91(X1, X2)), proper(U102(X1, X2, X3)) -> U102(proper(X1), proper(X2), proper(X3)), proper(isNatKind(X)) -> isNatKind(proper(X)), proper(U101(X1, X2, X3)) -> U101(proper(X1), proper(X2), proper(X3)), proper(tt()) -> ok(tt()), proper(U103(X1, X2, X3)) -> U103(proper(X1), proper(X2), proper(X3)), proper(isNat(X)) -> isNat(proper(X)), proper(U104(X1, X2, X3)) -> U104(proper(X1), proper(X2), proper(X3)), proper(plus(X1, X2)) -> plus(proper(X1), proper(X2)), proper(x(X1, X2)) -> x(proper(X1), proper(X2)), proper(U12(X1, X2, X3)) -> U12(proper(X1), proper(X2), proper(X3)), proper(U11(X1, X2, X3)) -> U11(proper(X1), proper(X2), proper(X3)), proper(U13(X1, X2, X3)) -> U13(proper(X1), proper(X2), proper(X3)), proper(U14(X1, X2, X3)) -> U14(proper(X1), proper(X2), proper(X3)), proper(U15(X1, X2)) -> U15(proper(X1), proper(X2)), proper(U16(X)) -> U16(proper(X)), proper(U22(X1, X2)) -> U22(proper(X1), proper(X2)), proper(U21(X1, X2)) -> U21(proper(X1), proper(X2)), proper(U23(X)) -> U23(proper(X)), proper(U32(X1, X2, X3)) -> U32(proper(X1), proper(X2), proper(X3)), proper(U31(X1, X2, X3)) -> U31(proper(X1), proper(X2), proper(X3)), proper(U33(X1, X2, X3)) -> U33(proper(X1), proper(X2), proper(X3)), proper(U34(X1, X2, X3)) -> U34(proper(X1), proper(X2), proper(X3)), proper(U35(X1, X2)) -> U35(proper(X1), proper(X2)), proper(U36(X)) -> U36(proper(X)), proper(U42(X)) -> U42(proper(X)), proper(U41(X1, X2)) -> U41(proper(X1), proper(X2)), proper(U51(X)) -> U51(proper(X)), proper(U62(X)) -> U62(proper(X)), proper(U61(X1, X2)) -> U61(proper(X1), proper(X2)), proper(U72(X1, X2)) -> U72(proper(X1), proper(X2)), proper(U71(X1, X2)) -> U71(proper(X1), proper(X2)), proper(U82(X1, X2, X3)) -> U82(proper(X1), proper(X2), proper(X3)), proper(U81(X1, X2, X3)) -> U81(proper(X1), proper(X2), proper(X3)), proper(U83(X1, X2, X3)) -> U83(proper(X1), proper(X2), proper(X3)), proper(U84(X1, X2, X3)) -> U84(proper(X1), proper(X2), proper(X3)), proper(s(X)) -> s(proper(X)), proper(U92(X)) -> U92(proper(X)), proper(U91(X1, X2)) -> U91(proper(X1), proper(X2)), proper(0()) -> ok(0()), top(mark(X)) -> top(proper(X)), top(ok(X)) -> top(active(X)) } Fail