Termination w.r.t. Q of the given QTRS could not be shown:

(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

active(U101(tt, V1, V2)) → mark(U102(isNaturalKind(V1), V1, V2))
active(U102(tt, V1, V2)) → mark(U103(isLNatKind(V2), V1, V2))
active(U103(tt, V1, V2)) → mark(U104(isLNatKind(V2), V1, V2))
active(U104(tt, V1, V2)) → mark(U105(isNatural(V1), V2))
active(U105(tt, V2)) → mark(U106(isLNat(V2)))
active(U106(tt)) → mark(tt)
active(U11(tt, N, XS)) → mark(U12(isNaturalKind(N), N, XS))
active(U111(tt, V2)) → mark(U112(isLNatKind(V2)))
active(U112(tt)) → mark(tt)
active(U12(tt, N, XS)) → mark(U13(isLNat(XS), N, XS))
active(U121(tt, V2)) → mark(U122(isLNatKind(V2)))
active(U122(tt)) → mark(tt)
active(U13(tt, N, XS)) → mark(U14(isLNatKind(XS), N, XS))
active(U131(tt)) → mark(tt)
active(U14(tt, N, XS)) → mark(snd(splitAt(N, XS)))
active(U141(tt)) → mark(tt)
active(U151(tt)) → mark(tt)
active(U161(tt)) → mark(tt)
active(U171(tt, V2)) → mark(U172(isLNatKind(V2)))
active(U172(tt)) → mark(tt)
active(U181(tt, V1)) → mark(U182(isLNatKind(V1), V1))
active(U182(tt, V1)) → mark(U183(isLNat(V1)))
active(U183(tt)) → mark(tt)
active(U191(tt, V1)) → mark(U192(isNaturalKind(V1), V1))
active(U192(tt, V1)) → mark(U193(isNatural(V1)))
active(U193(tt)) → mark(tt)
active(U201(tt, V1, V2)) → mark(U202(isNaturalKind(V1), V1, V2))
active(U202(tt, V1, V2)) → mark(U203(isLNatKind(V2), V1, V2))
active(U203(tt, V1, V2)) → mark(U204(isLNatKind(V2), V1, V2))
active(U204(tt, V1, V2)) → mark(U205(isNatural(V1), V2))
active(U205(tt, V2)) → mark(U206(isLNat(V2)))
active(U206(tt)) → mark(tt)
active(U21(tt, X, Y)) → mark(U22(isLNatKind(X), X, Y))
active(U211(tt)) → mark(tt)
active(U22(tt, X, Y)) → mark(U23(isLNat(Y), X, Y))
active(U221(tt)) → mark(tt)
active(U23(tt, X, Y)) → mark(U24(isLNatKind(Y), X))
active(U231(tt, V2)) → mark(U232(isLNatKind(V2)))
active(U232(tt)) → mark(tt)
active(U24(tt, X)) → mark(X)
active(U241(tt, V1, V2)) → mark(U242(isLNatKind(V1), V1, V2))
active(U242(tt, V1, V2)) → mark(U243(isLNatKind(V2), V1, V2))
active(U243(tt, V1, V2)) → mark(U244(isLNatKind(V2), V1, V2))
active(U244(tt, V1, V2)) → mark(U245(isLNat(V1), V2))
active(U245(tt, V2)) → mark(U246(isLNat(V2)))
active(U246(tt)) → mark(tt)
active(U251(tt, V1, V2)) → mark(U252(isNaturalKind(V1), V1, V2))
active(U252(tt, V1, V2)) → mark(U253(isLNatKind(V2), V1, V2))
active(U253(tt, V1, V2)) → mark(U254(isLNatKind(V2), V1, V2))
active(U254(tt, V1, V2)) → mark(U255(isNatural(V1), V2))
active(U255(tt, V2)) → mark(U256(isLNat(V2)))
active(U256(tt)) → mark(tt)
active(U261(tt, V2)) → mark(U262(isLNatKind(V2)))
active(U262(tt)) → mark(tt)
active(U271(tt, V2)) → mark(U272(isLNatKind(V2)))
active(U272(tt)) → mark(tt)
active(U281(tt, N)) → mark(U282(isNaturalKind(N), N))
active(U282(tt, N)) → mark(cons(N, natsFrom(s(N))))
active(U291(tt, N, XS)) → mark(U292(isNaturalKind(N), N, XS))
active(U292(tt, N, XS)) → mark(U293(isLNat(XS), N, XS))
active(U293(tt, N, XS)) → mark(U294(isLNatKind(XS), N, XS))
active(U294(tt, N, XS)) → mark(head(afterNth(N, XS)))
active(U301(tt, X, Y)) → mark(U302(isLNatKind(X), Y))
active(U302(tt, Y)) → mark(U303(isLNat(Y), Y))
active(U303(tt, Y)) → mark(U304(isLNatKind(Y), Y))
active(U304(tt, Y)) → mark(Y)
active(U31(tt, N, XS)) → mark(U32(isNaturalKind(N), N, XS))
active(U311(tt, XS)) → mark(U312(isLNatKind(XS), XS))
active(U312(tt, XS)) → mark(pair(nil, XS))
active(U32(tt, N, XS)) → mark(U33(isLNat(XS), N, XS))
active(U321(tt, N, X, XS)) → mark(U322(isNaturalKind(N), N, X, XS))
active(U322(tt, N, X, XS)) → mark(U323(isNatural(X), N, X, XS))
active(U323(tt, N, X, XS)) → mark(U324(isNaturalKind(X), N, X, XS))
active(U324(tt, N, X, XS)) → mark(U325(isLNat(XS), N, X, XS))
active(U325(tt, N, X, XS)) → mark(U326(isLNatKind(XS), N, X, XS))
active(U326(tt, N, X, XS)) → mark(U327(splitAt(N, XS), X))
active(U327(pair(YS, ZS), X)) → mark(pair(cons(X, YS), ZS))
active(U33(tt, N, XS)) → mark(U34(isLNatKind(XS), N))
active(U331(tt, N, XS)) → mark(U332(isNaturalKind(N), XS))
active(U332(tt, XS)) → mark(U333(isLNat(XS), XS))
active(U333(tt, XS)) → mark(U334(isLNatKind(XS), XS))
active(U334(tt, XS)) → mark(XS)
active(U34(tt, N)) → mark(N)
active(U341(tt, N, XS)) → mark(U342(isNaturalKind(N), N, XS))
active(U342(tt, N, XS)) → mark(U343(isLNat(XS), N, XS))
active(U343(tt, N, XS)) → mark(U344(isLNatKind(XS), N, XS))
active(U344(tt, N, XS)) → mark(fst(splitAt(N, XS)))
active(U41(tt, V1, V2)) → mark(U42(isNaturalKind(V1), V1, V2))
active(U42(tt, V1, V2)) → mark(U43(isLNatKind(V2), V1, V2))
active(U43(tt, V1, V2)) → mark(U44(isLNatKind(V2), V1, V2))
active(U44(tt, V1, V2)) → mark(U45(isNatural(V1), V2))
active(U45(tt, V2)) → mark(U46(isLNat(V2)))
active(U46(tt)) → mark(tt)
active(U51(tt, V1, V2)) → mark(U52(isNaturalKind(V1), V1, V2))
active(U52(tt, V1, V2)) → mark(U53(isLNatKind(V2), V1, V2))
active(U53(tt, V1, V2)) → mark(U54(isLNatKind(V2), V1, V2))
active(U54(tt, V1, V2)) → mark(U55(isNatural(V1), V2))
active(U55(tt, V2)) → mark(U56(isLNat(V2)))
active(U56(tt)) → mark(tt)
active(U61(tt, V1)) → mark(U62(isPLNatKind(V1), V1))
active(U62(tt, V1)) → mark(U63(isPLNat(V1)))
active(U63(tt)) → mark(tt)
active(U71(tt, V1)) → mark(U72(isNaturalKind(V1), V1))
active(U72(tt, V1)) → mark(U73(isNatural(V1)))
active(U73(tt)) → mark(tt)
active(U81(tt, V1)) → mark(U82(isPLNatKind(V1), V1))
active(U82(tt, V1)) → mark(U83(isPLNat(V1)))
active(U83(tt)) → mark(tt)
active(U91(tt, V1)) → mark(U92(isLNatKind(V1), V1))
active(U92(tt, V1)) → mark(U93(isLNat(V1)))
active(U93(tt)) → mark(tt)
active(afterNth(N, XS)) → mark(U11(isNatural(N), N, XS))
active(fst(pair(X, Y))) → mark(U21(isLNat(X), X, Y))
active(head(cons(N, XS))) → mark(U31(isNatural(N), N, XS))
active(isLNat(nil)) → mark(tt)
active(isLNat(afterNth(V1, V2))) → mark(U41(isNaturalKind(V1), V1, V2))
active(isLNat(cons(V1, V2))) → mark(U51(isNaturalKind(V1), V1, V2))
active(isLNat(fst(V1))) → mark(U61(isPLNatKind(V1), V1))
active(isLNat(natsFrom(V1))) → mark(U71(isNaturalKind(V1), V1))
active(isLNat(snd(V1))) → mark(U81(isPLNatKind(V1), V1))
active(isLNat(tail(V1))) → mark(U91(isLNatKind(V1), V1))
active(isLNat(take(V1, V2))) → mark(U101(isNaturalKind(V1), V1, V2))
active(isLNatKind(nil)) → mark(tt)
active(isLNatKind(afterNth(V1, V2))) → mark(U111(isNaturalKind(V1), V2))
active(isLNatKind(cons(V1, V2))) → mark(U121(isNaturalKind(V1), V2))
active(isLNatKind(fst(V1))) → mark(U131(isPLNatKind(V1)))
active(isLNatKind(natsFrom(V1))) → mark(U141(isNaturalKind(V1)))
active(isLNatKind(snd(V1))) → mark(U151(isPLNatKind(V1)))
active(isLNatKind(tail(V1))) → mark(U161(isLNatKind(V1)))
active(isLNatKind(take(V1, V2))) → mark(U171(isNaturalKind(V1), V2))
active(isNatural(0)) → mark(tt)
active(isNatural(head(V1))) → mark(U181(isLNatKind(V1), V1))
active(isNatural(s(V1))) → mark(U191(isNaturalKind(V1), V1))
active(isNatural(sel(V1, V2))) → mark(U201(isNaturalKind(V1), V1, V2))
active(isNaturalKind(0)) → mark(tt)
active(isNaturalKind(head(V1))) → mark(U211(isLNatKind(V1)))
active(isNaturalKind(s(V1))) → mark(U221(isNaturalKind(V1)))
active(isNaturalKind(sel(V1, V2))) → mark(U231(isNaturalKind(V1), V2))
active(isPLNat(pair(V1, V2))) → mark(U241(isLNatKind(V1), V1, V2))
active(isPLNat(splitAt(V1, V2))) → mark(U251(isNaturalKind(V1), V1, V2))
active(isPLNatKind(pair(V1, V2))) → mark(U261(isLNatKind(V1), V2))
active(isPLNatKind(splitAt(V1, V2))) → mark(U271(isNaturalKind(V1), V2))
active(natsFrom(N)) → mark(U281(isNatural(N), N))
active(sel(N, XS)) → mark(U291(isNatural(N), N, XS))
active(snd(pair(X, Y))) → mark(U301(isLNat(X), X, Y))
active(splitAt(0, XS)) → mark(U311(isLNat(XS), XS))
active(splitAt(s(N), cons(X, XS))) → mark(U321(isNatural(N), N, X, XS))
active(tail(cons(N, XS))) → mark(U331(isNatural(N), N, XS))
active(take(N, XS)) → mark(U341(isNatural(N), N, XS))
mark(U101(X1, X2, X3)) → active(U101(mark(X1), X2, X3))
mark(tt) → active(tt)
mark(U102(X1, X2, X3)) → active(U102(mark(X1), X2, X3))
mark(isNaturalKind(X)) → active(isNaturalKind(X))
mark(U103(X1, X2, X3)) → active(U103(mark(X1), X2, X3))
mark(isLNatKind(X)) → active(isLNatKind(X))
mark(U104(X1, X2, X3)) → active(U104(mark(X1), X2, X3))
mark(U105(X1, X2)) → active(U105(mark(X1), X2))
mark(isNatural(X)) → active(isNatural(X))
mark(U106(X)) → active(U106(mark(X)))
mark(isLNat(X)) → active(isLNat(X))
mark(U11(X1, X2, X3)) → active(U11(mark(X1), X2, X3))
mark(U12(X1, X2, X3)) → active(U12(mark(X1), X2, X3))
mark(U111(X1, X2)) → active(U111(mark(X1), X2))
mark(U112(X)) → active(U112(mark(X)))
mark(U13(X1, X2, X3)) → active(U13(mark(X1), X2, X3))
mark(U121(X1, X2)) → active(U121(mark(X1), X2))
mark(U122(X)) → active(U122(mark(X)))
mark(U14(X1, X2, X3)) → active(U14(mark(X1), X2, X3))
mark(U131(X)) → active(U131(mark(X)))
mark(snd(X)) → active(snd(mark(X)))
mark(splitAt(X1, X2)) → active(splitAt(mark(X1), mark(X2)))
mark(U141(X)) → active(U141(mark(X)))
mark(U151(X)) → active(U151(mark(X)))
mark(U161(X)) → active(U161(mark(X)))
mark(U171(X1, X2)) → active(U171(mark(X1), X2))
mark(U172(X)) → active(U172(mark(X)))
mark(U181(X1, X2)) → active(U181(mark(X1), X2))
mark(U182(X1, X2)) → active(U182(mark(X1), X2))
mark(U183(X)) → active(U183(mark(X)))
mark(U191(X1, X2)) → active(U191(mark(X1), X2))
mark(U192(X1, X2)) → active(U192(mark(X1), X2))
mark(U193(X)) → active(U193(mark(X)))
mark(U201(X1, X2, X3)) → active(U201(mark(X1), X2, X3))
mark(U202(X1, X2, X3)) → active(U202(mark(X1), X2, X3))
mark(U203(X1, X2, X3)) → active(U203(mark(X1), X2, X3))
mark(U204(X1, X2, X3)) → active(U204(mark(X1), X2, X3))
mark(U205(X1, X2)) → active(U205(mark(X1), X2))
mark(U206(X)) → active(U206(mark(X)))
mark(U21(X1, X2, X3)) → active(U21(mark(X1), X2, X3))
mark(U22(X1, X2, X3)) → active(U22(mark(X1), X2, X3))
mark(U211(X)) → active(U211(mark(X)))
mark(U23(X1, X2, X3)) → active(U23(mark(X1), X2, X3))
mark(U221(X)) → active(U221(mark(X)))
mark(U24(X1, X2)) → active(U24(mark(X1), X2))
mark(U231(X1, X2)) → active(U231(mark(X1), X2))
mark(U232(X)) → active(U232(mark(X)))
mark(U241(X1, X2, X3)) → active(U241(mark(X1), X2, X3))
mark(U242(X1, X2, X3)) → active(U242(mark(X1), X2, X3))
mark(U243(X1, X2, X3)) → active(U243(mark(X1), X2, X3))
mark(U244(X1, X2, X3)) → active(U244(mark(X1), X2, X3))
mark(U245(X1, X2)) → active(U245(mark(X1), X2))
mark(U246(X)) → active(U246(mark(X)))
mark(U251(X1, X2, X3)) → active(U251(mark(X1), X2, X3))
mark(U252(X1, X2, X3)) → active(U252(mark(X1), X2, X3))
mark(U253(X1, X2, X3)) → active(U253(mark(X1), X2, X3))
mark(U254(X1, X2, X3)) → active(U254(mark(X1), X2, X3))
mark(U255(X1, X2)) → active(U255(mark(X1), X2))
mark(U256(X)) → active(U256(mark(X)))
mark(U261(X1, X2)) → active(U261(mark(X1), X2))
mark(U262(X)) → active(U262(mark(X)))
mark(U271(X1, X2)) → active(U271(mark(X1), X2))
mark(U272(X)) → active(U272(mark(X)))
mark(U281(X1, X2)) → active(U281(mark(X1), X2))
mark(U282(X1, X2)) → active(U282(mark(X1), X2))
mark(cons(X1, X2)) → active(cons(mark(X1), X2))
mark(natsFrom(X)) → active(natsFrom(mark(X)))
mark(s(X)) → active(s(mark(X)))
mark(U291(X1, X2, X3)) → active(U291(mark(X1), X2, X3))
mark(U292(X1, X2, X3)) → active(U292(mark(X1), X2, X3))
mark(U293(X1, X2, X3)) → active(U293(mark(X1), X2, X3))
mark(U294(X1, X2, X3)) → active(U294(mark(X1), X2, X3))
mark(head(X)) → active(head(mark(X)))
mark(afterNth(X1, X2)) → active(afterNth(mark(X1), mark(X2)))
mark(U301(X1, X2, X3)) → active(U301(mark(X1), X2, X3))
mark(U302(X1, X2)) → active(U302(mark(X1), X2))
mark(U303(X1, X2)) → active(U303(mark(X1), X2))
mark(U304(X1, X2)) → active(U304(mark(X1), X2))
mark(U31(X1, X2, X3)) → active(U31(mark(X1), X2, X3))
mark(U32(X1, X2, X3)) → active(U32(mark(X1), X2, X3))
mark(U311(X1, X2)) → active(U311(mark(X1), X2))
mark(U312(X1, X2)) → active(U312(mark(X1), X2))
mark(pair(X1, X2)) → active(pair(mark(X1), mark(X2)))
mark(nil) → active(nil)
mark(U33(X1, X2, X3)) → active(U33(mark(X1), X2, X3))
mark(U321(X1, X2, X3, X4)) → active(U321(mark(X1), X2, X3, X4))
mark(U322(X1, X2, X3, X4)) → active(U322(mark(X1), X2, X3, X4))
mark(U323(X1, X2, X3, X4)) → active(U323(mark(X1), X2, X3, X4))
mark(U324(X1, X2, X3, X4)) → active(U324(mark(X1), X2, X3, X4))
mark(U325(X1, X2, X3, X4)) → active(U325(mark(X1), X2, X3, X4))
mark(U326(X1, X2, X3, X4)) → active(U326(mark(X1), X2, X3, X4))
mark(U327(X1, X2)) → active(U327(mark(X1), X2))
mark(U34(X1, X2)) → active(U34(mark(X1), X2))
mark(U331(X1, X2, X3)) → active(U331(mark(X1), X2, X3))
mark(U332(X1, X2)) → active(U332(mark(X1), X2))
mark(U333(X1, X2)) → active(U333(mark(X1), X2))
mark(U334(X1, X2)) → active(U334(mark(X1), X2))
mark(U341(X1, X2, X3)) → active(U341(mark(X1), X2, X3))
mark(U342(X1, X2, X3)) → active(U342(mark(X1), X2, X3))
mark(U343(X1, X2, X3)) → active(U343(mark(X1), X2, X3))
mark(U344(X1, X2, X3)) → active(U344(mark(X1), X2, X3))
mark(fst(X)) → active(fst(mark(X)))
mark(U41(X1, X2, X3)) → active(U41(mark(X1), X2, X3))
mark(U42(X1, X2, X3)) → active(U42(mark(X1), X2, X3))
mark(U43(X1, X2, X3)) → active(U43(mark(X1), X2, X3))
mark(U44(X1, X2, X3)) → active(U44(mark(X1), X2, X3))
mark(U45(X1, X2)) → active(U45(mark(X1), X2))
mark(U46(X)) → active(U46(mark(X)))
mark(U51(X1, X2, X3)) → active(U51(mark(X1), X2, X3))
mark(U52(X1, X2, X3)) → active(U52(mark(X1), X2, X3))
mark(U53(X1, X2, X3)) → active(U53(mark(X1), X2, X3))
mark(U54(X1, X2, X3)) → active(U54(mark(X1), X2, X3))
mark(U55(X1, X2)) → active(U55(mark(X1), X2))
mark(U56(X)) → active(U56(mark(X)))
mark(U61(X1, X2)) → active(U61(mark(X1), X2))
mark(U62(X1, X2)) → active(U62(mark(X1), X2))
mark(isPLNatKind(X)) → active(isPLNatKind(X))
mark(U63(X)) → active(U63(mark(X)))
mark(isPLNat(X)) → active(isPLNat(X))
mark(U71(X1, X2)) → active(U71(mark(X1), X2))
mark(U72(X1, X2)) → active(U72(mark(X1), X2))
mark(U73(X)) → active(U73(mark(X)))
mark(U81(X1, X2)) → active(U81(mark(X1), X2))
mark(U82(X1, X2)) → active(U82(mark(X1), X2))
mark(U83(X)) → active(U83(mark(X)))
mark(U91(X1, X2)) → active(U91(mark(X1), X2))
mark(U92(X1, X2)) → active(U92(mark(X1), X2))
mark(U93(X)) → active(U93(mark(X)))
mark(tail(X)) → active(tail(mark(X)))
mark(take(X1, X2)) → active(take(mark(X1), mark(X2)))
mark(0) → active(0)
mark(sel(X1, X2)) → active(sel(mark(X1), mark(X2)))
U101(mark(X1), X2, X3) → U101(X1, X2, X3)
U101(X1, mark(X2), X3) → U101(X1, X2, X3)
U101(X1, X2, mark(X3)) → U101(X1, X2, X3)
U101(active(X1), X2, X3) → U101(X1, X2, X3)
U101(X1, active(X2), X3) → U101(X1, X2, X3)
U101(X1, X2, active(X3)) → U101(X1, X2, X3)
U102(mark(X1), X2, X3) → U102(X1, X2, X3)
U102(X1, mark(X2), X3) → U102(X1, X2, X3)
U102(X1, X2, mark(X3)) → U102(X1, X2, X3)
U102(active(X1), X2, X3) → U102(X1, X2, X3)
U102(X1, active(X2), X3) → U102(X1, X2, X3)
U102(X1, X2, active(X3)) → U102(X1, X2, X3)
isNaturalKind(mark(X)) → isNaturalKind(X)
isNaturalKind(active(X)) → isNaturalKind(X)
U103(mark(X1), X2, X3) → U103(X1, X2, X3)
U103(X1, mark(X2), X3) → U103(X1, X2, X3)
U103(X1, X2, mark(X3)) → U103(X1, X2, X3)
U103(active(X1), X2, X3) → U103(X1, X2, X3)
U103(X1, active(X2), X3) → U103(X1, X2, X3)
U103(X1, X2, active(X3)) → U103(X1, X2, X3)
isLNatKind(mark(X)) → isLNatKind(X)
isLNatKind(active(X)) → isLNatKind(X)
U104(mark(X1), X2, X3) → U104(X1, X2, X3)
U104(X1, mark(X2), X3) → U104(X1, X2, X3)
U104(X1, X2, mark(X3)) → U104(X1, X2, X3)
U104(active(X1), X2, X3) → U104(X1, X2, X3)
U104(X1, active(X2), X3) → U104(X1, X2, X3)
U104(X1, X2, active(X3)) → U104(X1, X2, X3)
U105(mark(X1), X2) → U105(X1, X2)
U105(X1, mark(X2)) → U105(X1, X2)
U105(active(X1), X2) → U105(X1, X2)
U105(X1, active(X2)) → U105(X1, X2)
isNatural(mark(X)) → isNatural(X)
isNatural(active(X)) → isNatural(X)
U106(mark(X)) → U106(X)
U106(active(X)) → U106(X)
isLNat(mark(X)) → isLNat(X)
isLNat(active(X)) → isLNat(X)
U11(mark(X1), X2, X3) → U11(X1, X2, X3)
U11(X1, mark(X2), X3) → U11(X1, X2, X3)
U11(X1, X2, mark(X3)) → U11(X1, X2, X3)
U11(active(X1), X2, X3) → U11(X1, X2, X3)
U11(X1, active(X2), X3) → U11(X1, X2, X3)
U11(X1, X2, active(X3)) → U11(X1, X2, X3)
U12(mark(X1), X2, X3) → U12(X1, X2, X3)
U12(X1, mark(X2), X3) → U12(X1, X2, X3)
U12(X1, X2, mark(X3)) → U12(X1, X2, X3)
U12(active(X1), X2, X3) → U12(X1, X2, X3)
U12(X1, active(X2), X3) → U12(X1, X2, X3)
U12(X1, X2, active(X3)) → U12(X1, X2, X3)
U111(mark(X1), X2) → U111(X1, X2)
U111(X1, mark(X2)) → U111(X1, X2)
U111(active(X1), X2) → U111(X1, X2)
U111(X1, active(X2)) → U111(X1, X2)
U112(mark(X)) → U112(X)
U112(active(X)) → U112(X)
U13(mark(X1), X2, X3) → U13(X1, X2, X3)
U13(X1, mark(X2), X3) → U13(X1, X2, X3)
U13(X1, X2, mark(X3)) → U13(X1, X2, X3)
U13(active(X1), X2, X3) → U13(X1, X2, X3)
U13(X1, active(X2), X3) → U13(X1, X2, X3)
U13(X1, X2, active(X3)) → U13(X1, X2, X3)
U121(mark(X1), X2) → U121(X1, X2)
U121(X1, mark(X2)) → U121(X1, X2)
U121(active(X1), X2) → U121(X1, X2)
U121(X1, active(X2)) → U121(X1, X2)
U122(mark(X)) → U122(X)
U122(active(X)) → U122(X)
U14(mark(X1), X2, X3) → U14(X1, X2, X3)
U14(X1, mark(X2), X3) → U14(X1, X2, X3)
U14(X1, X2, mark(X3)) → U14(X1, X2, X3)
U14(active(X1), X2, X3) → U14(X1, X2, X3)
U14(X1, active(X2), X3) → U14(X1, X2, X3)
U14(X1, X2, active(X3)) → U14(X1, X2, X3)
U131(mark(X)) → U131(X)
U131(active(X)) → U131(X)
snd(mark(X)) → snd(X)
snd(active(X)) → snd(X)
splitAt(mark(X1), X2) → splitAt(X1, X2)
splitAt(X1, mark(X2)) → splitAt(X1, X2)
splitAt(active(X1), X2) → splitAt(X1, X2)
splitAt(X1, active(X2)) → splitAt(X1, X2)
U141(mark(X)) → U141(X)
U141(active(X)) → U141(X)
U151(mark(X)) → U151(X)
U151(active(X)) → U151(X)
U161(mark(X)) → U161(X)
U161(active(X)) → U161(X)
U171(mark(X1), X2) → U171(X1, X2)
U171(X1, mark(X2)) → U171(X1, X2)
U171(active(X1), X2) → U171(X1, X2)
U171(X1, active(X2)) → U171(X1, X2)
U172(mark(X)) → U172(X)
U172(active(X)) → U172(X)
U181(mark(X1), X2) → U181(X1, X2)
U181(X1, mark(X2)) → U181(X1, X2)
U181(active(X1), X2) → U181(X1, X2)
U181(X1, active(X2)) → U181(X1, X2)
U182(mark(X1), X2) → U182(X1, X2)
U182(X1, mark(X2)) → U182(X1, X2)
U182(active(X1), X2) → U182(X1, X2)
U182(X1, active(X2)) → U182(X1, X2)
U183(mark(X)) → U183(X)
U183(active(X)) → U183(X)
U191(mark(X1), X2) → U191(X1, X2)
U191(X1, mark(X2)) → U191(X1, X2)
U191(active(X1), X2) → U191(X1, X2)
U191(X1, active(X2)) → U191(X1, X2)
U192(mark(X1), X2) → U192(X1, X2)
U192(X1, mark(X2)) → U192(X1, X2)
U192(active(X1), X2) → U192(X1, X2)
U192(X1, active(X2)) → U192(X1, X2)
U193(mark(X)) → U193(X)
U193(active(X)) → U193(X)
U201(mark(X1), X2, X3) → U201(X1, X2, X3)
U201(X1, mark(X2), X3) → U201(X1, X2, X3)
U201(X1, X2, mark(X3)) → U201(X1, X2, X3)
U201(active(X1), X2, X3) → U201(X1, X2, X3)
U201(X1, active(X2), X3) → U201(X1, X2, X3)
U201(X1, X2, active(X3)) → U201(X1, X2, X3)
U202(mark(X1), X2, X3) → U202(X1, X2, X3)
U202(X1, mark(X2), X3) → U202(X1, X2, X3)
U202(X1, X2, mark(X3)) → U202(X1, X2, X3)
U202(active(X1), X2, X3) → U202(X1, X2, X3)
U202(X1, active(X2), X3) → U202(X1, X2, X3)
U202(X1, X2, active(X3)) → U202(X1, X2, X3)
U203(mark(X1), X2, X3) → U203(X1, X2, X3)
U203(X1, mark(X2), X3) → U203(X1, X2, X3)
U203(X1, X2, mark(X3)) → U203(X1, X2, X3)
U203(active(X1), X2, X3) → U203(X1, X2, X3)
U203(X1, active(X2), X3) → U203(X1, X2, X3)
U203(X1, X2, active(X3)) → U203(X1, X2, X3)
U204(mark(X1), X2, X3) → U204(X1, X2, X3)
U204(X1, mark(X2), X3) → U204(X1, X2, X3)
U204(X1, X2, mark(X3)) → U204(X1, X2, X3)
U204(active(X1), X2, X3) → U204(X1, X2, X3)
U204(X1, active(X2), X3) → U204(X1, X2, X3)
U204(X1, X2, active(X3)) → U204(X1, X2, X3)
U205(mark(X1), X2) → U205(X1, X2)
U205(X1, mark(X2)) → U205(X1, X2)
U205(active(X1), X2) → U205(X1, X2)
U205(X1, active(X2)) → U205(X1, X2)
U206(mark(X)) → U206(X)
U206(active(X)) → U206(X)
U21(mark(X1), X2, X3) → U21(X1, X2, X3)
U21(X1, mark(X2), X3) → U21(X1, X2, X3)
U21(X1, X2, mark(X3)) → U21(X1, X2, X3)
U21(active(X1), X2, X3) → U21(X1, X2, X3)
U21(X1, active(X2), X3) → U21(X1, X2, X3)
U21(X1, X2, active(X3)) → U21(X1, X2, X3)
U22(mark(X1), X2, X3) → U22(X1, X2, X3)
U22(X1, mark(X2), X3) → U22(X1, X2, X3)
U22(X1, X2, mark(X3)) → U22(X1, X2, X3)
U22(active(X1), X2, X3) → U22(X1, X2, X3)
U22(X1, active(X2), X3) → U22(X1, X2, X3)
U22(X1, X2, active(X3)) → U22(X1, X2, X3)
U211(mark(X)) → U211(X)
U211(active(X)) → U211(X)
U23(mark(X1), X2, X3) → U23(X1, X2, X3)
U23(X1, mark(X2), X3) → U23(X1, X2, X3)
U23(X1, X2, mark(X3)) → U23(X1, X2, X3)
U23(active(X1), X2, X3) → U23(X1, X2, X3)
U23(X1, active(X2), X3) → U23(X1, X2, X3)
U23(X1, X2, active(X3)) → U23(X1, X2, X3)
U221(mark(X)) → U221(X)
U221(active(X)) → U221(X)
U24(mark(X1), X2) → U24(X1, X2)
U24(X1, mark(X2)) → U24(X1, X2)
U24(active(X1), X2) → U24(X1, X2)
U24(X1, active(X2)) → U24(X1, X2)
U231(mark(X1), X2) → U231(X1, X2)
U231(X1, mark(X2)) → U231(X1, X2)
U231(active(X1), X2) → U231(X1, X2)
U231(X1, active(X2)) → U231(X1, X2)
U232(mark(X)) → U232(X)
U232(active(X)) → U232(X)
U241(mark(X1), X2, X3) → U241(X1, X2, X3)
U241(X1, mark(X2), X3) → U241(X1, X2, X3)
U241(X1, X2, mark(X3)) → U241(X1, X2, X3)
U241(active(X1), X2, X3) → U241(X1, X2, X3)
U241(X1, active(X2), X3) → U241(X1, X2, X3)
U241(X1, X2, active(X3)) → U241(X1, X2, X3)
U242(mark(X1), X2, X3) → U242(X1, X2, X3)
U242(X1, mark(X2), X3) → U242(X1, X2, X3)
U242(X1, X2, mark(X3)) → U242(X1, X2, X3)
U242(active(X1), X2, X3) → U242(X1, X2, X3)
U242(X1, active(X2), X3) → U242(X1, X2, X3)
U242(X1, X2, active(X3)) → U242(X1, X2, X3)
U243(mark(X1), X2, X3) → U243(X1, X2, X3)
U243(X1, mark(X2), X3) → U243(X1, X2, X3)
U243(X1, X2, mark(X3)) → U243(X1, X2, X3)
U243(active(X1), X2, X3) → U243(X1, X2, X3)
U243(X1, active(X2), X3) → U243(X1, X2, X3)
U243(X1, X2, active(X3)) → U243(X1, X2, X3)
U244(mark(X1), X2, X3) → U244(X1, X2, X3)
U244(X1, mark(X2), X3) → U244(X1, X2, X3)
U244(X1, X2, mark(X3)) → U244(X1, X2, X3)
U244(active(X1), X2, X3) → U244(X1, X2, X3)
U244(X1, active(X2), X3) → U244(X1, X2, X3)
U244(X1, X2, active(X3)) → U244(X1, X2, X3)
U245(mark(X1), X2) → U245(X1, X2)
U245(X1, mark(X2)) → U245(X1, X2)
U245(active(X1), X2) → U245(X1, X2)
U245(X1, active(X2)) → U245(X1, X2)
U246(mark(X)) → U246(X)
U246(active(X)) → U246(X)
U251(mark(X1), X2, X3) → U251(X1, X2, X3)
U251(X1, mark(X2), X3) → U251(X1, X2, X3)
U251(X1, X2, mark(X3)) → U251(X1, X2, X3)
U251(active(X1), X2, X3) → U251(X1, X2, X3)
U251(X1, active(X2), X3) → U251(X1, X2, X3)
U251(X1, X2, active(X3)) → U251(X1, X2, X3)
U252(mark(X1), X2, X3) → U252(X1, X2, X3)
U252(X1, mark(X2), X3) → U252(X1, X2, X3)
U252(X1, X2, mark(X3)) → U252(X1, X2, X3)
U252(active(X1), X2, X3) → U252(X1, X2, X3)
U252(X1, active(X2), X3) → U252(X1, X2, X3)
U252(X1, X2, active(X3)) → U252(X1, X2, X3)
U253(mark(X1), X2, X3) → U253(X1, X2, X3)
U253(X1, mark(X2), X3) → U253(X1, X2, X3)
U253(X1, X2, mark(X3)) → U253(X1, X2, X3)
U253(active(X1), X2, X3) → U253(X1, X2, X3)
U253(X1, active(X2), X3) → U253(X1, X2, X3)
U253(X1, X2, active(X3)) → U253(X1, X2, X3)
U254(mark(X1), X2, X3) → U254(X1, X2, X3)
U254(X1, mark(X2), X3) → U254(X1, X2, X3)
U254(X1, X2, mark(X3)) → U254(X1, X2, X3)
U254(active(X1), X2, X3) → U254(X1, X2, X3)
U254(X1, active(X2), X3) → U254(X1, X2, X3)
U254(X1, X2, active(X3)) → U254(X1, X2, X3)
U255(mark(X1), X2) → U255(X1, X2)
U255(X1, mark(X2)) → U255(X1, X2)
U255(active(X1), X2) → U255(X1, X2)
U255(X1, active(X2)) → U255(X1, X2)
U256(mark(X)) → U256(X)
U256(active(X)) → U256(X)
U261(mark(X1), X2) → U261(X1, X2)
U261(X1, mark(X2)) → U261(X1, X2)
U261(active(X1), X2) → U261(X1, X2)
U261(X1, active(X2)) → U261(X1, X2)
U262(mark(X)) → U262(X)
U262(active(X)) → U262(X)
U271(mark(X1), X2) → U271(X1, X2)
U271(X1, mark(X2)) → U271(X1, X2)
U271(active(X1), X2) → U271(X1, X2)
U271(X1, active(X2)) → U271(X1, X2)
U272(mark(X)) → U272(X)
U272(active(X)) → U272(X)
U281(mark(X1), X2) → U281(X1, X2)
U281(X1, mark(X2)) → U281(X1, X2)
U281(active(X1), X2) → U281(X1, X2)
U281(X1, active(X2)) → U281(X1, X2)
U282(mark(X1), X2) → U282(X1, X2)
U282(X1, mark(X2)) → U282(X1, X2)
U282(active(X1), X2) → U282(X1, X2)
U282(X1, active(X2)) → U282(X1, X2)
cons(mark(X1), X2) → cons(X1, X2)
cons(X1, mark(X2)) → cons(X1, X2)
cons(active(X1), X2) → cons(X1, X2)
cons(X1, active(X2)) → cons(X1, X2)
natsFrom(mark(X)) → natsFrom(X)
natsFrom(active(X)) → natsFrom(X)
s(mark(X)) → s(X)
s(active(X)) → s(X)
U291(mark(X1), X2, X3) → U291(X1, X2, X3)
U291(X1, mark(X2), X3) → U291(X1, X2, X3)
U291(X1, X2, mark(X3)) → U291(X1, X2, X3)
U291(active(X1), X2, X3) → U291(X1, X2, X3)
U291(X1, active(X2), X3) → U291(X1, X2, X3)
U291(X1, X2, active(X3)) → U291(X1, X2, X3)
U292(mark(X1), X2, X3) → U292(X1, X2, X3)
U292(X1, mark(X2), X3) → U292(X1, X2, X3)
U292(X1, X2, mark(X3)) → U292(X1, X2, X3)
U292(active(X1), X2, X3) → U292(X1, X2, X3)
U292(X1, active(X2), X3) → U292(X1, X2, X3)
U292(X1, X2, active(X3)) → U292(X1, X2, X3)
U293(mark(X1), X2, X3) → U293(X1, X2, X3)
U293(X1, mark(X2), X3) → U293(X1, X2, X3)
U293(X1, X2, mark(X3)) → U293(X1, X2, X3)
U293(active(X1), X2, X3) → U293(X1, X2, X3)
U293(X1, active(X2), X3) → U293(X1, X2, X3)
U293(X1, X2, active(X3)) → U293(X1, X2, X3)
U294(mark(X1), X2, X3) → U294(X1, X2, X3)
U294(X1, mark(X2), X3) → U294(X1, X2, X3)
U294(X1, X2, mark(X3)) → U294(X1, X2, X3)
U294(active(X1), X2, X3) → U294(X1, X2, X3)
U294(X1, active(X2), X3) → U294(X1, X2, X3)
U294(X1, X2, active(X3)) → U294(X1, X2, X3)
head(mark(X)) → head(X)
head(active(X)) → head(X)
afterNth(mark(X1), X2) → afterNth(X1, X2)
afterNth(X1, mark(X2)) → afterNth(X1, X2)
afterNth(active(X1), X2) → afterNth(X1, X2)
afterNth(X1, active(X2)) → afterNth(X1, X2)
U301(mark(X1), X2, X3) → U301(X1, X2, X3)
U301(X1, mark(X2), X3) → U301(X1, X2, X3)
U301(X1, X2, mark(X3)) → U301(X1, X2, X3)
U301(active(X1), X2, X3) → U301(X1, X2, X3)
U301(X1, active(X2), X3) → U301(X1, X2, X3)
U301(X1, X2, active(X3)) → U301(X1, X2, X3)
U302(mark(X1), X2) → U302(X1, X2)
U302(X1, mark(X2)) → U302(X1, X2)
U302(active(X1), X2) → U302(X1, X2)
U302(X1, active(X2)) → U302(X1, X2)
U303(mark(X1), X2) → U303(X1, X2)
U303(X1, mark(X2)) → U303(X1, X2)
U303(active(X1), X2) → U303(X1, X2)
U303(X1, active(X2)) → U303(X1, X2)
U304(mark(X1), X2) → U304(X1, X2)
U304(X1, mark(X2)) → U304(X1, X2)
U304(active(X1), X2) → U304(X1, X2)
U304(X1, active(X2)) → U304(X1, X2)
U31(mark(X1), X2, X3) → U31(X1, X2, X3)
U31(X1, mark(X2), X3) → U31(X1, X2, X3)
U31(X1, X2, mark(X3)) → U31(X1, X2, X3)
U31(active(X1), X2, X3) → U31(X1, X2, X3)
U31(X1, active(X2), X3) → U31(X1, X2, X3)
U31(X1, X2, active(X3)) → U31(X1, X2, X3)
U32(mark(X1), X2, X3) → U32(X1, X2, X3)
U32(X1, mark(X2), X3) → U32(X1, X2, X3)
U32(X1, X2, mark(X3)) → U32(X1, X2, X3)
U32(active(X1), X2, X3) → U32(X1, X2, X3)
U32(X1, active(X2), X3) → U32(X1, X2, X3)
U32(X1, X2, active(X3)) → U32(X1, X2, X3)
U311(mark(X1), X2) → U311(X1, X2)
U311(X1, mark(X2)) → U311(X1, X2)
U311(active(X1), X2) → U311(X1, X2)
U311(X1, active(X2)) → U311(X1, X2)
U312(mark(X1), X2) → U312(X1, X2)
U312(X1, mark(X2)) → U312(X1, X2)
U312(active(X1), X2) → U312(X1, X2)
U312(X1, active(X2)) → U312(X1, X2)
pair(mark(X1), X2) → pair(X1, X2)
pair(X1, mark(X2)) → pair(X1, X2)
pair(active(X1), X2) → pair(X1, X2)
pair(X1, active(X2)) → pair(X1, X2)
U33(mark(X1), X2, X3) → U33(X1, X2, X3)
U33(X1, mark(X2), X3) → U33(X1, X2, X3)
U33(X1, X2, mark(X3)) → U33(X1, X2, X3)
U33(active(X1), X2, X3) → U33(X1, X2, X3)
U33(X1, active(X2), X3) → U33(X1, X2, X3)
U33(X1, X2, active(X3)) → U33(X1, X2, X3)
U321(mark(X1), X2, X3, X4) → U321(X1, X2, X3, X4)
U321(X1, mark(X2), X3, X4) → U321(X1, X2, X3, X4)
U321(X1, X2, mark(X3), X4) → U321(X1, X2, X3, X4)
U321(X1, X2, X3, mark(X4)) → U321(X1, X2, X3, X4)
U321(active(X1), X2, X3, X4) → U321(X1, X2, X3, X4)
U321(X1, active(X2), X3, X4) → U321(X1, X2, X3, X4)
U321(X1, X2, active(X3), X4) → U321(X1, X2, X3, X4)
U321(X1, X2, X3, active(X4)) → U321(X1, X2, X3, X4)
U322(mark(X1), X2, X3, X4) → U322(X1, X2, X3, X4)
U322(X1, mark(X2), X3, X4) → U322(X1, X2, X3, X4)
U322(X1, X2, mark(X3), X4) → U322(X1, X2, X3, X4)
U322(X1, X2, X3, mark(X4)) → U322(X1, X2, X3, X4)
U322(active(X1), X2, X3, X4) → U322(X1, X2, X3, X4)
U322(X1, active(X2), X3, X4) → U322(X1, X2, X3, X4)
U322(X1, X2, active(X3), X4) → U322(X1, X2, X3, X4)
U322(X1, X2, X3, active(X4)) → U322(X1, X2, X3, X4)
U323(mark(X1), X2, X3, X4) → U323(X1, X2, X3, X4)
U323(X1, mark(X2), X3, X4) → U323(X1, X2, X3, X4)
U323(X1, X2, mark(X3), X4) → U323(X1, X2, X3, X4)
U323(X1, X2, X3, mark(X4)) → U323(X1, X2, X3, X4)
U323(active(X1), X2, X3, X4) → U323(X1, X2, X3, X4)
U323(X1, active(X2), X3, X4) → U323(X1, X2, X3, X4)
U323(X1, X2, active(X3), X4) → U323(X1, X2, X3, X4)
U323(X1, X2, X3, active(X4)) → U323(X1, X2, X3, X4)
U324(mark(X1), X2, X3, X4) → U324(X1, X2, X3, X4)
U324(X1, mark(X2), X3, X4) → U324(X1, X2, X3, X4)
U324(X1, X2, mark(X3), X4) → U324(X1, X2, X3, X4)
U324(X1, X2, X3, mark(X4)) → U324(X1, X2, X3, X4)
U324(active(X1), X2, X3, X4) → U324(X1, X2, X3, X4)
U324(X1, active(X2), X3, X4) → U324(X1, X2, X3, X4)
U324(X1, X2, active(X3), X4) → U324(X1, X2, X3, X4)
U324(X1, X2, X3, active(X4)) → U324(X1, X2, X3, X4)
U325(mark(X1), X2, X3, X4) → U325(X1, X2, X3, X4)
U325(X1, mark(X2), X3, X4) → U325(X1, X2, X3, X4)
U325(X1, X2, mark(X3), X4) → U325(X1, X2, X3, X4)
U325(X1, X2, X3, mark(X4)) → U325(X1, X2, X3, X4)
U325(active(X1), X2, X3, X4) → U325(X1, X2, X3, X4)
U325(X1, active(X2), X3, X4) → U325(X1, X2, X3, X4)
U325(X1, X2, active(X3), X4) → U325(X1, X2, X3, X4)
U325(X1, X2, X3, active(X4)) → U325(X1, X2, X3, X4)
U326(mark(X1), X2, X3, X4) → U326(X1, X2, X3, X4)
U326(X1, mark(X2), X3, X4) → U326(X1, X2, X3, X4)
U326(X1, X2, mark(X3), X4) → U326(X1, X2, X3, X4)
U326(X1, X2, X3, mark(X4)) → U326(X1, X2, X3, X4)
U326(active(X1), X2, X3, X4) → U326(X1, X2, X3, X4)
U326(X1, active(X2), X3, X4) → U326(X1, X2, X3, X4)
U326(X1, X2, active(X3), X4) → U326(X1, X2, X3, X4)
U326(X1, X2, X3, active(X4)) → U326(X1, X2, X3, X4)
U327(mark(X1), X2) → U327(X1, X2)
U327(X1, mark(X2)) → U327(X1, X2)
U327(active(X1), X2) → U327(X1, X2)
U327(X1, active(X2)) → U327(X1, X2)
U34(mark(X1), X2) → U34(X1, X2)
U34(X1, mark(X2)) → U34(X1, X2)
U34(active(X1), X2) → U34(X1, X2)
U34(X1, active(X2)) → U34(X1, X2)
U331(mark(X1), X2, X3) → U331(X1, X2, X3)
U331(X1, mark(X2), X3) → U331(X1, X2, X3)
U331(X1, X2, mark(X3)) → U331(X1, X2, X3)
U331(active(X1), X2, X3) → U331(X1, X2, X3)
U331(X1, active(X2), X3) → U331(X1, X2, X3)
U331(X1, X2, active(X3)) → U331(X1, X2, X3)
U332(mark(X1), X2) → U332(X1, X2)
U332(X1, mark(X2)) → U332(X1, X2)
U332(active(X1), X2) → U332(X1, X2)
U332(X1, active(X2)) → U332(X1, X2)
U333(mark(X1), X2) → U333(X1, X2)
U333(X1, mark(X2)) → U333(X1, X2)
U333(active(X1), X2) → U333(X1, X2)
U333(X1, active(X2)) → U333(X1, X2)
U334(mark(X1), X2) → U334(X1, X2)
U334(X1, mark(X2)) → U334(X1, X2)
U334(active(X1), X2) → U334(X1, X2)
U334(X1, active(X2)) → U334(X1, X2)
U341(mark(X1), X2, X3) → U341(X1, X2, X3)
U341(X1, mark(X2), X3) → U341(X1, X2, X3)
U341(X1, X2, mark(X3)) → U341(X1, X2, X3)
U341(active(X1), X2, X3) → U341(X1, X2, X3)
U341(X1, active(X2), X3) → U341(X1, X2, X3)
U341(X1, X2, active(X3)) → U341(X1, X2, X3)
U342(mark(X1), X2, X3) → U342(X1, X2, X3)
U342(X1, mark(X2), X3) → U342(X1, X2, X3)
U342(X1, X2, mark(X3)) → U342(X1, X2, X3)
U342(active(X1), X2, X3) → U342(X1, X2, X3)
U342(X1, active(X2), X3) → U342(X1, X2, X3)
U342(X1, X2, active(X3)) → U342(X1, X2, X3)
U343(mark(X1), X2, X3) → U343(X1, X2, X3)
U343(X1, mark(X2), X3) → U343(X1, X2, X3)
U343(X1, X2, mark(X3)) → U343(X1, X2, X3)
U343(active(X1), X2, X3) → U343(X1, X2, X3)
U343(X1, active(X2), X3) → U343(X1, X2, X3)
U343(X1, X2, active(X3)) → U343(X1, X2, X3)
U344(mark(X1), X2, X3) → U344(X1, X2, X3)
U344(X1, mark(X2), X3) → U344(X1, X2, X3)
U344(X1, X2, mark(X3)) → U344(X1, X2, X3)
U344(active(X1), X2, X3) → U344(X1, X2, X3)
U344(X1, active(X2), X3) → U344(X1, X2, X3)
U344(X1, X2, active(X3)) → U344(X1, X2, X3)
fst(mark(X)) → fst(X)
fst(active(X)) → fst(X)
U41(mark(X1), X2, X3) → U41(X1, X2, X3)
U41(X1, mark(X2), X3) → U41(X1, X2, X3)
U41(X1, X2, mark(X3)) → U41(X1, X2, X3)
U41(active(X1), X2, X3) → U41(X1, X2, X3)
U41(X1, active(X2), X3) → U41(X1, X2, X3)
U41(X1, X2, active(X3)) → U41(X1, X2, X3)
U42(mark(X1), X2, X3) → U42(X1, X2, X3)
U42(X1, mark(X2), X3) → U42(X1, X2, X3)
U42(X1, X2, mark(X3)) → U42(X1, X2, X3)
U42(active(X1), X2, X3) → U42(X1, X2, X3)
U42(X1, active(X2), X3) → U42(X1, X2, X3)
U42(X1, X2, active(X3)) → U42(X1, X2, X3)
U43(mark(X1), X2, X3) → U43(X1, X2, X3)
U43(X1, mark(X2), X3) → U43(X1, X2, X3)
U43(X1, X2, mark(X3)) → U43(X1, X2, X3)
U43(active(X1), X2, X3) → U43(X1, X2, X3)
U43(X1, active(X2), X3) → U43(X1, X2, X3)
U43(X1, X2, active(X3)) → U43(X1, X2, X3)
U44(mark(X1), X2, X3) → U44(X1, X2, X3)
U44(X1, mark(X2), X3) → U44(X1, X2, X3)
U44(X1, X2, mark(X3)) → U44(X1, X2, X3)
U44(active(X1), X2, X3) → U44(X1, X2, X3)
U44(X1, active(X2), X3) → U44(X1, X2, X3)
U44(X1, X2, active(X3)) → U44(X1, X2, X3)
U45(mark(X1), X2) → U45(X1, X2)
U45(X1, mark(X2)) → U45(X1, X2)
U45(active(X1), X2) → U45(X1, X2)
U45(X1, active(X2)) → U45(X1, X2)
U46(mark(X)) → U46(X)
U46(active(X)) → U46(X)
U51(mark(X1), X2, X3) → U51(X1, X2, X3)
U51(X1, mark(X2), X3) → U51(X1, X2, X3)
U51(X1, X2, mark(X3)) → U51(X1, X2, X3)
U51(active(X1), X2, X3) → U51(X1, X2, X3)
U51(X1, active(X2), X3) → U51(X1, X2, X3)
U51(X1, X2, active(X3)) → U51(X1, X2, X3)
U52(mark(X1), X2, X3) → U52(X1, X2, X3)
U52(X1, mark(X2), X3) → U52(X1, X2, X3)
U52(X1, X2, mark(X3)) → U52(X1, X2, X3)
U52(active(X1), X2, X3) → U52(X1, X2, X3)
U52(X1, active(X2), X3) → U52(X1, X2, X3)
U52(X1, X2, active(X3)) → U52(X1, X2, X3)
U53(mark(X1), X2, X3) → U53(X1, X2, X3)
U53(X1, mark(X2), X3) → U53(X1, X2, X3)
U53(X1, X2, mark(X3)) → U53(X1, X2, X3)
U53(active(X1), X2, X3) → U53(X1, X2, X3)
U53(X1, active(X2), X3) → U53(X1, X2, X3)
U53(X1, X2, active(X3)) → U53(X1, X2, X3)
U54(mark(X1), X2, X3) → U54(X1, X2, X3)
U54(X1, mark(X2), X3) → U54(X1, X2, X3)
U54(X1, X2, mark(X3)) → U54(X1, X2, X3)
U54(active(X1), X2, X3) → U54(X1, X2, X3)
U54(X1, active(X2), X3) → U54(X1, X2, X3)
U54(X1, X2, active(X3)) → U54(X1, X2, X3)
U55(mark(X1), X2) → U55(X1, X2)
U55(X1, mark(X2)) → U55(X1, X2)
U55(active(X1), X2) → U55(X1, X2)
U55(X1, active(X2)) → U55(X1, X2)
U56(mark(X)) → U56(X)
U56(active(X)) → U56(X)
U61(mark(X1), X2) → U61(X1, X2)
U61(X1, mark(X2)) → U61(X1, X2)
U61(active(X1), X2) → U61(X1, X2)
U61(X1, active(X2)) → U61(X1, X2)
U62(mark(X1), X2) → U62(X1, X2)
U62(X1, mark(X2)) → U62(X1, X2)
U62(active(X1), X2) → U62(X1, X2)
U62(X1, active(X2)) → U62(X1, X2)
isPLNatKind(mark(X)) → isPLNatKind(X)
isPLNatKind(active(X)) → isPLNatKind(X)
U63(mark(X)) → U63(X)
U63(active(X)) → U63(X)
isPLNat(mark(X)) → isPLNat(X)
isPLNat(active(X)) → isPLNat(X)
U71(mark(X1), X2) → U71(X1, X2)
U71(X1, mark(X2)) → U71(X1, X2)
U71(active(X1), X2) → U71(X1, X2)
U71(X1, active(X2)) → U71(X1, X2)
U72(mark(X1), X2) → U72(X1, X2)
U72(X1, mark(X2)) → U72(X1, X2)
U72(active(X1), X2) → U72(X1, X2)
U72(X1, active(X2)) → U72(X1, X2)
U73(mark(X)) → U73(X)
U73(active(X)) → U73(X)
U81(mark(X1), X2) → U81(X1, X2)
U81(X1, mark(X2)) → U81(X1, X2)
U81(active(X1), X2) → U81(X1, X2)
U81(X1, active(X2)) → U81(X1, X2)
U82(mark(X1), X2) → U82(X1, X2)
U82(X1, mark(X2)) → U82(X1, X2)
U82(active(X1), X2) → U82(X1, X2)
U82(X1, active(X2)) → U82(X1, X2)
U83(mark(X)) → U83(X)
U83(active(X)) → U83(X)
U91(mark(X1), X2) → U91(X1, X2)
U91(X1, mark(X2)) → U91(X1, X2)
U91(active(X1), X2) → U91(X1, X2)
U91(X1, active(X2)) → U91(X1, X2)
U92(mark(X1), X2) → U92(X1, X2)
U92(X1, mark(X2)) → U92(X1, X2)
U92(active(X1), X2) → U92(X1, X2)
U92(X1, active(X2)) → U92(X1, X2)
U93(mark(X)) → U93(X)
U93(active(X)) → U93(X)
tail(mark(X)) → tail(X)
tail(active(X)) → tail(X)
take(mark(X1), X2) → take(X1, X2)
take(X1, mark(X2)) → take(X1, X2)
take(active(X1), X2) → take(X1, X2)
take(X1, active(X2)) → take(X1, X2)
sel(mark(X1), X2) → sel(X1, X2)
sel(X1, mark(X2)) → sel(X1, X2)
sel(active(X1), X2) → sel(X1, X2)
sel(X1, active(X2)) → sel(X1, X2)

Q is empty.