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:

a__U101(tt, V1, V2) → a__U102(a__isNaturalKind(V1), V1, V2)
a__U102(tt, V1, V2) → a__U103(a__isLNatKind(V2), V1, V2)
a__U103(tt, V1, V2) → a__U104(a__isLNatKind(V2), V1, V2)
a__U104(tt, V1, V2) → a__U105(a__isNatural(V1), V2)
a__U105(tt, V2) → a__U106(a__isLNat(V2))
a__U106(tt) → tt
a__U11(tt, N, XS) → a__U12(a__isNaturalKind(N), N, XS)
a__U111(tt, V2) → a__U112(a__isLNatKind(V2))
a__U112(tt) → tt
a__U12(tt, N, XS) → a__U13(a__isLNat(XS), N, XS)
a__U121(tt, V2) → a__U122(a__isLNatKind(V2))
a__U122(tt) → tt
a__U13(tt, N, XS) → a__U14(a__isLNatKind(XS), N, XS)
a__U131(tt) → tt
a__U14(tt, N, XS) → a__snd(a__splitAt(mark(N), mark(XS)))
a__U141(tt) → tt
a__U151(tt) → tt
a__U161(tt) → tt
a__U171(tt, V2) → a__U172(a__isLNatKind(V2))
a__U172(tt) → tt
a__U181(tt, V1) → a__U182(a__isLNatKind(V1), V1)
a__U182(tt, V1) → a__U183(a__isLNat(V1))
a__U183(tt) → tt
a__U191(tt, V1) → a__U192(a__isNaturalKind(V1), V1)
a__U192(tt, V1) → a__U193(a__isNatural(V1))
a__U193(tt) → tt
a__U201(tt, V1, V2) → a__U202(a__isNaturalKind(V1), V1, V2)
a__U202(tt, V1, V2) → a__U203(a__isLNatKind(V2), V1, V2)
a__U203(tt, V1, V2) → a__U204(a__isLNatKind(V2), V1, V2)
a__U204(tt, V1, V2) → a__U205(a__isNatural(V1), V2)
a__U205(tt, V2) → a__U206(a__isLNat(V2))
a__U206(tt) → tt
a__U21(tt, X, Y) → a__U22(a__isLNatKind(X), X, Y)
a__U211(tt) → tt
a__U22(tt, X, Y) → a__U23(a__isLNat(Y), X, Y)
a__U221(tt) → tt
a__U23(tt, X, Y) → a__U24(a__isLNatKind(Y), X)
a__U231(tt, V2) → a__U232(a__isLNatKind(V2))
a__U232(tt) → tt
a__U24(tt, X) → mark(X)
a__U241(tt, V1, V2) → a__U242(a__isLNatKind(V1), V1, V2)
a__U242(tt, V1, V2) → a__U243(a__isLNatKind(V2), V1, V2)
a__U243(tt, V1, V2) → a__U244(a__isLNatKind(V2), V1, V2)
a__U244(tt, V1, V2) → a__U245(a__isLNat(V1), V2)
a__U245(tt, V2) → a__U246(a__isLNat(V2))
a__U246(tt) → tt
a__U251(tt, V1, V2) → a__U252(a__isNaturalKind(V1), V1, V2)
a__U252(tt, V1, V2) → a__U253(a__isLNatKind(V2), V1, V2)
a__U253(tt, V1, V2) → a__U254(a__isLNatKind(V2), V1, V2)
a__U254(tt, V1, V2) → a__U255(a__isNatural(V1), V2)
a__U255(tt, V2) → a__U256(a__isLNat(V2))
a__U256(tt) → tt
a__U261(tt, V2) → a__U262(a__isLNatKind(V2))
a__U262(tt) → tt
a__U271(tt, V2) → a__U272(a__isLNatKind(V2))
a__U272(tt) → tt
a__U281(tt, N) → a__U282(a__isNaturalKind(N), N)
a__U282(tt, N) → cons(mark(N), natsFrom(s(N)))
a__U291(tt, N, XS) → a__U292(a__isNaturalKind(N), N, XS)
a__U292(tt, N, XS) → a__U293(a__isLNat(XS), N, XS)
a__U293(tt, N, XS) → a__U294(a__isLNatKind(XS), N, XS)
a__U294(tt, N, XS) → a__head(a__afterNth(mark(N), mark(XS)))
a__U301(tt, X, Y) → a__U302(a__isLNatKind(X), Y)
a__U302(tt, Y) → a__U303(a__isLNat(Y), Y)
a__U303(tt, Y) → a__U304(a__isLNatKind(Y), Y)
a__U304(tt, Y) → mark(Y)
a__U31(tt, N, XS) → a__U32(a__isNaturalKind(N), N, XS)
a__U311(tt, XS) → a__U312(a__isLNatKind(XS), XS)
a__U312(tt, XS) → pair(nil, mark(XS))
a__U32(tt, N, XS) → a__U33(a__isLNat(XS), N, XS)
a__U321(tt, N, X, XS) → a__U322(a__isNaturalKind(N), N, X, XS)
a__U322(tt, N, X, XS) → a__U323(a__isNatural(X), N, X, XS)
a__U323(tt, N, X, XS) → a__U324(a__isNaturalKind(X), N, X, XS)
a__U324(tt, N, X, XS) → a__U325(a__isLNat(XS), N, X, XS)
a__U325(tt, N, X, XS) → a__U326(a__isLNatKind(XS), N, X, XS)
a__U326(tt, N, X, XS) → a__U327(a__splitAt(mark(N), mark(XS)), X)
a__U327(pair(YS, ZS), X) → pair(cons(mark(X), YS), mark(ZS))
a__U33(tt, N, XS) → a__U34(a__isLNatKind(XS), N)
a__U331(tt, N, XS) → a__U332(a__isNaturalKind(N), XS)
a__U332(tt, XS) → a__U333(a__isLNat(XS), XS)
a__U333(tt, XS) → a__U334(a__isLNatKind(XS), XS)
a__U334(tt, XS) → mark(XS)
a__U34(tt, N) → mark(N)
a__U341(tt, N, XS) → a__U342(a__isNaturalKind(N), N, XS)
a__U342(tt, N, XS) → a__U343(a__isLNat(XS), N, XS)
a__U343(tt, N, XS) → a__U344(a__isLNatKind(XS), N, XS)
a__U344(tt, N, XS) → a__fst(a__splitAt(mark(N), mark(XS)))
a__U41(tt, V1, V2) → a__U42(a__isNaturalKind(V1), V1, V2)
a__U42(tt, V1, V2) → a__U43(a__isLNatKind(V2), V1, V2)
a__U43(tt, V1, V2) → a__U44(a__isLNatKind(V2), V1, V2)
a__U44(tt, V1, V2) → a__U45(a__isNatural(V1), V2)
a__U45(tt, V2) → a__U46(a__isLNat(V2))
a__U46(tt) → tt
a__U51(tt, V1, V2) → a__U52(a__isNaturalKind(V1), V1, V2)
a__U52(tt, V1, V2) → a__U53(a__isLNatKind(V2), V1, V2)
a__U53(tt, V1, V2) → a__U54(a__isLNatKind(V2), V1, V2)
a__U54(tt, V1, V2) → a__U55(a__isNatural(V1), V2)
a__U55(tt, V2) → a__U56(a__isLNat(V2))
a__U56(tt) → tt
a__U61(tt, V1) → a__U62(a__isPLNatKind(V1), V1)
a__U62(tt, V1) → a__U63(a__isPLNat(V1))
a__U63(tt) → tt
a__U71(tt, V1) → a__U72(a__isNaturalKind(V1), V1)
a__U72(tt, V1) → a__U73(a__isNatural(V1))
a__U73(tt) → tt
a__U81(tt, V1) → a__U82(a__isPLNatKind(V1), V1)
a__U82(tt, V1) → a__U83(a__isPLNat(V1))
a__U83(tt) → tt
a__U91(tt, V1) → a__U92(a__isLNatKind(V1), V1)
a__U92(tt, V1) → a__U93(a__isLNat(V1))
a__U93(tt) → tt
a__afterNth(N, XS) → a__U11(a__isNatural(N), N, XS)
a__fst(pair(X, Y)) → a__U21(a__isLNat(X), X, Y)
a__head(cons(N, XS)) → a__U31(a__isNatural(N), N, XS)
a__isLNat(nil) → tt
a__isLNat(afterNth(V1, V2)) → a__U41(a__isNaturalKind(V1), V1, V2)
a__isLNat(cons(V1, V2)) → a__U51(a__isNaturalKind(V1), V1, V2)
a__isLNat(fst(V1)) → a__U61(a__isPLNatKind(V1), V1)
a__isLNat(natsFrom(V1)) → a__U71(a__isNaturalKind(V1), V1)
a__isLNat(snd(V1)) → a__U81(a__isPLNatKind(V1), V1)
a__isLNat(tail(V1)) → a__U91(a__isLNatKind(V1), V1)
a__isLNat(take(V1, V2)) → a__U101(a__isNaturalKind(V1), V1, V2)
a__isLNatKind(nil) → tt
a__isLNatKind(afterNth(V1, V2)) → a__U111(a__isNaturalKind(V1), V2)
a__isLNatKind(cons(V1, V2)) → a__U121(a__isNaturalKind(V1), V2)
a__isLNatKind(fst(V1)) → a__U131(a__isPLNatKind(V1))
a__isLNatKind(natsFrom(V1)) → a__U141(a__isNaturalKind(V1))
a__isLNatKind(snd(V1)) → a__U151(a__isPLNatKind(V1))
a__isLNatKind(tail(V1)) → a__U161(a__isLNatKind(V1))
a__isLNatKind(take(V1, V2)) → a__U171(a__isNaturalKind(V1), V2)
a__isNatural(0) → tt
a__isNatural(head(V1)) → a__U181(a__isLNatKind(V1), V1)
a__isNatural(s(V1)) → a__U191(a__isNaturalKind(V1), V1)
a__isNatural(sel(V1, V2)) → a__U201(a__isNaturalKind(V1), V1, V2)
a__isNaturalKind(0) → tt
a__isNaturalKind(head(V1)) → a__U211(a__isLNatKind(V1))
a__isNaturalKind(s(V1)) → a__U221(a__isNaturalKind(V1))
a__isNaturalKind(sel(V1, V2)) → a__U231(a__isNaturalKind(V1), V2)
a__isPLNat(pair(V1, V2)) → a__U241(a__isLNatKind(V1), V1, V2)
a__isPLNat(splitAt(V1, V2)) → a__U251(a__isNaturalKind(V1), V1, V2)
a__isPLNatKind(pair(V1, V2)) → a__U261(a__isLNatKind(V1), V2)
a__isPLNatKind(splitAt(V1, V2)) → a__U271(a__isNaturalKind(V1), V2)
a__natsFrom(N) → a__U281(a__isNatural(N), N)
a__sel(N, XS) → a__U291(a__isNatural(N), N, XS)
a__snd(pair(X, Y)) → a__U301(a__isLNat(X), X, Y)
a__splitAt(0, XS) → a__U311(a__isLNat(XS), XS)
a__splitAt(s(N), cons(X, XS)) → a__U321(a__isNatural(N), N, X, XS)
a__tail(cons(N, XS)) → a__U331(a__isNatural(N), N, XS)
a__take(N, XS) → a__U341(a__isNatural(N), N, XS)
mark(U101(X1, X2, X3)) → a__U101(mark(X1), X2, X3)
mark(U102(X1, X2, X3)) → a__U102(mark(X1), X2, X3)
mark(isNaturalKind(X)) → a__isNaturalKind(X)
mark(U103(X1, X2, X3)) → a__U103(mark(X1), X2, X3)
mark(isLNatKind(X)) → a__isLNatKind(X)
mark(U104(X1, X2, X3)) → a__U104(mark(X1), X2, X3)
mark(U105(X1, X2)) → a__U105(mark(X1), X2)
mark(isNatural(X)) → a__isNatural(X)
mark(U106(X)) → a__U106(mark(X))
mark(isLNat(X)) → a__isLNat(X)
mark(U11(X1, X2, X3)) → a__U11(mark(X1), X2, X3)
mark(U12(X1, X2, X3)) → a__U12(mark(X1), X2, X3)
mark(U111(X1, X2)) → a__U111(mark(X1), X2)
mark(U112(X)) → a__U112(mark(X))
mark(U13(X1, X2, X3)) → a__U13(mark(X1), X2, X3)
mark(U121(X1, X2)) → a__U121(mark(X1), X2)
mark(U122(X)) → a__U122(mark(X))
mark(U14(X1, X2, X3)) → a__U14(mark(X1), X2, X3)
mark(U131(X)) → a__U131(mark(X))
mark(snd(X)) → a__snd(mark(X))
mark(splitAt(X1, X2)) → a__splitAt(mark(X1), mark(X2))
mark(U141(X)) → a__U141(mark(X))
mark(U151(X)) → a__U151(mark(X))
mark(U161(X)) → a__U161(mark(X))
mark(U171(X1, X2)) → a__U171(mark(X1), X2)
mark(U172(X)) → a__U172(mark(X))
mark(U181(X1, X2)) → a__U181(mark(X1), X2)
mark(U182(X1, X2)) → a__U182(mark(X1), X2)
mark(U183(X)) → a__U183(mark(X))
mark(U191(X1, X2)) → a__U191(mark(X1), X2)
mark(U192(X1, X2)) → a__U192(mark(X1), X2)
mark(U193(X)) → a__U193(mark(X))
mark(U201(X1, X2, X3)) → a__U201(mark(X1), X2, X3)
mark(U202(X1, X2, X3)) → a__U202(mark(X1), X2, X3)
mark(U203(X1, X2, X3)) → a__U203(mark(X1), X2, X3)
mark(U204(X1, X2, X3)) → a__U204(mark(X1), X2, X3)
mark(U205(X1, X2)) → a__U205(mark(X1), X2)
mark(U206(X)) → a__U206(mark(X))
mark(U21(X1, X2, X3)) → a__U21(mark(X1), X2, X3)
mark(U22(X1, X2, X3)) → a__U22(mark(X1), X2, X3)
mark(U211(X)) → a__U211(mark(X))
mark(U23(X1, X2, X3)) → a__U23(mark(X1), X2, X3)
mark(U221(X)) → a__U221(mark(X))
mark(U24(X1, X2)) → a__U24(mark(X1), X2)
mark(U231(X1, X2)) → a__U231(mark(X1), X2)
mark(U232(X)) → a__U232(mark(X))
mark(U241(X1, X2, X3)) → a__U241(mark(X1), X2, X3)
mark(U242(X1, X2, X3)) → a__U242(mark(X1), X2, X3)
mark(U243(X1, X2, X3)) → a__U243(mark(X1), X2, X3)
mark(U244(X1, X2, X3)) → a__U244(mark(X1), X2, X3)
mark(U245(X1, X2)) → a__U245(mark(X1), X2)
mark(U246(X)) → a__U246(mark(X))
mark(U251(X1, X2, X3)) → a__U251(mark(X1), X2, X3)
mark(U252(X1, X2, X3)) → a__U252(mark(X1), X2, X3)
mark(U253(X1, X2, X3)) → a__U253(mark(X1), X2, X3)
mark(U254(X1, X2, X3)) → a__U254(mark(X1), X2, X3)
mark(U255(X1, X2)) → a__U255(mark(X1), X2)
mark(U256(X)) → a__U256(mark(X))
mark(U261(X1, X2)) → a__U261(mark(X1), X2)
mark(U262(X)) → a__U262(mark(X))
mark(U271(X1, X2)) → a__U271(mark(X1), X2)
mark(U272(X)) → a__U272(mark(X))
mark(U281(X1, X2)) → a__U281(mark(X1), X2)
mark(U282(X1, X2)) → a__U282(mark(X1), X2)
mark(natsFrom(X)) → a__natsFrom(mark(X))
mark(U291(X1, X2, X3)) → a__U291(mark(X1), X2, X3)
mark(U292(X1, X2, X3)) → a__U292(mark(X1), X2, X3)
mark(U293(X1, X2, X3)) → a__U293(mark(X1), X2, X3)
mark(U294(X1, X2, X3)) → a__U294(mark(X1), X2, X3)
mark(head(X)) → a__head(mark(X))
mark(afterNth(X1, X2)) → a__afterNth(mark(X1), mark(X2))
mark(U301(X1, X2, X3)) → a__U301(mark(X1), X2, X3)
mark(U302(X1, X2)) → a__U302(mark(X1), X2)
mark(U303(X1, X2)) → a__U303(mark(X1), X2)
mark(U304(X1, X2)) → a__U304(mark(X1), X2)
mark(U31(X1, X2, X3)) → a__U31(mark(X1), X2, X3)
mark(U32(X1, X2, X3)) → a__U32(mark(X1), X2, X3)
mark(U311(X1, X2)) → a__U311(mark(X1), X2)
mark(U312(X1, X2)) → a__U312(mark(X1), X2)
mark(U33(X1, X2, X3)) → a__U33(mark(X1), X2, X3)
mark(U321(X1, X2, X3, X4)) → a__U321(mark(X1), X2, X3, X4)
mark(U322(X1, X2, X3, X4)) → a__U322(mark(X1), X2, X3, X4)
mark(U323(X1, X2, X3, X4)) → a__U323(mark(X1), X2, X3, X4)
mark(U324(X1, X2, X3, X4)) → a__U324(mark(X1), X2, X3, X4)
mark(U325(X1, X2, X3, X4)) → a__U325(mark(X1), X2, X3, X4)
mark(U326(X1, X2, X3, X4)) → a__U326(mark(X1), X2, X3, X4)
mark(U327(X1, X2)) → a__U327(mark(X1), X2)
mark(U34(X1, X2)) → a__U34(mark(X1), X2)
mark(U331(X1, X2, X3)) → a__U331(mark(X1), X2, X3)
mark(U332(X1, X2)) → a__U332(mark(X1), X2)
mark(U333(X1, X2)) → a__U333(mark(X1), X2)
mark(U334(X1, X2)) → a__U334(mark(X1), X2)
mark(U341(X1, X2, X3)) → a__U341(mark(X1), X2, X3)
mark(U342(X1, X2, X3)) → a__U342(mark(X1), X2, X3)
mark(U343(X1, X2, X3)) → a__U343(mark(X1), X2, X3)
mark(U344(X1, X2, X3)) → a__U344(mark(X1), X2, X3)
mark(fst(X)) → a__fst(mark(X))
mark(U41(X1, X2, X3)) → a__U41(mark(X1), X2, X3)
mark(U42(X1, X2, X3)) → a__U42(mark(X1), X2, X3)
mark(U43(X1, X2, X3)) → a__U43(mark(X1), X2, X3)
mark(U44(X1, X2, X3)) → a__U44(mark(X1), X2, X3)
mark(U45(X1, X2)) → a__U45(mark(X1), X2)
mark(U46(X)) → a__U46(mark(X))
mark(U51(X1, X2, X3)) → a__U51(mark(X1), X2, X3)
mark(U52(X1, X2, X3)) → a__U52(mark(X1), X2, X3)
mark(U53(X1, X2, X3)) → a__U53(mark(X1), X2, X3)
mark(U54(X1, X2, X3)) → a__U54(mark(X1), X2, X3)
mark(U55(X1, X2)) → a__U55(mark(X1), X2)
mark(U56(X)) → a__U56(mark(X))
mark(U61(X1, X2)) → a__U61(mark(X1), X2)
mark(U62(X1, X2)) → a__U62(mark(X1), X2)
mark(isPLNatKind(X)) → a__isPLNatKind(X)
mark(U63(X)) → a__U63(mark(X))
mark(isPLNat(X)) → a__isPLNat(X)
mark(U71(X1, X2)) → a__U71(mark(X1), X2)
mark(U72(X1, X2)) → a__U72(mark(X1), X2)
mark(U73(X)) → a__U73(mark(X))
mark(U81(X1, X2)) → a__U81(mark(X1), X2)
mark(U82(X1, X2)) → a__U82(mark(X1), X2)
mark(U83(X)) → a__U83(mark(X))
mark(U91(X1, X2)) → a__U91(mark(X1), X2)
mark(U92(X1, X2)) → a__U92(mark(X1), X2)
mark(U93(X)) → a__U93(mark(X))
mark(tail(X)) → a__tail(mark(X))
mark(take(X1, X2)) → a__take(mark(X1), mark(X2))
mark(sel(X1, X2)) → a__sel(mark(X1), mark(X2))
mark(tt) → tt
mark(cons(X1, X2)) → cons(mark(X1), X2)
mark(s(X)) → s(mark(X))
mark(pair(X1, X2)) → pair(mark(X1), mark(X2))
mark(nil) → nil
mark(0) → 0
a__U101(X1, X2, X3) → U101(X1, X2, X3)
a__U102(X1, X2, X3) → U102(X1, X2, X3)
a__isNaturalKind(X) → isNaturalKind(X)
a__U103(X1, X2, X3) → U103(X1, X2, X3)
a__isLNatKind(X) → isLNatKind(X)
a__U104(X1, X2, X3) → U104(X1, X2, X3)
a__U105(X1, X2) → U105(X1, X2)
a__isNatural(X) → isNatural(X)
a__U106(X) → U106(X)
a__isLNat(X) → isLNat(X)
a__U11(X1, X2, X3) → U11(X1, X2, X3)
a__U12(X1, X2, X3) → U12(X1, X2, X3)
a__U111(X1, X2) → U111(X1, X2)
a__U112(X) → U112(X)
a__U13(X1, X2, X3) → U13(X1, X2, X3)
a__U121(X1, X2) → U121(X1, X2)
a__U122(X) → U122(X)
a__U14(X1, X2, X3) → U14(X1, X2, X3)
a__U131(X) → U131(X)
a__snd(X) → snd(X)
a__splitAt(X1, X2) → splitAt(X1, X2)
a__U141(X) → U141(X)
a__U151(X) → U151(X)
a__U161(X) → U161(X)
a__U171(X1, X2) → U171(X1, X2)
a__U172(X) → U172(X)
a__U181(X1, X2) → U181(X1, X2)
a__U182(X1, X2) → U182(X1, X2)
a__U183(X) → U183(X)
a__U191(X1, X2) → U191(X1, X2)
a__U192(X1, X2) → U192(X1, X2)
a__U193(X) → U193(X)
a__U201(X1, X2, X3) → U201(X1, X2, X3)
a__U202(X1, X2, X3) → U202(X1, X2, X3)
a__U203(X1, X2, X3) → U203(X1, X2, X3)
a__U204(X1, X2, X3) → U204(X1, X2, X3)
a__U205(X1, X2) → U205(X1, X2)
a__U206(X) → U206(X)
a__U21(X1, X2, X3) → U21(X1, X2, X3)
a__U22(X1, X2, X3) → U22(X1, X2, X3)
a__U211(X) → U211(X)
a__U23(X1, X2, X3) → U23(X1, X2, X3)
a__U221(X) → U221(X)
a__U24(X1, X2) → U24(X1, X2)
a__U231(X1, X2) → U231(X1, X2)
a__U232(X) → U232(X)
a__U241(X1, X2, X3) → U241(X1, X2, X3)
a__U242(X1, X2, X3) → U242(X1, X2, X3)
a__U243(X1, X2, X3) → U243(X1, X2, X3)
a__U244(X1, X2, X3) → U244(X1, X2, X3)
a__U245(X1, X2) → U245(X1, X2)
a__U246(X) → U246(X)
a__U251(X1, X2, X3) → U251(X1, X2, X3)
a__U252(X1, X2, X3) → U252(X1, X2, X3)
a__U253(X1, X2, X3) → U253(X1, X2, X3)
a__U254(X1, X2, X3) → U254(X1, X2, X3)
a__U255(X1, X2) → U255(X1, X2)
a__U256(X) → U256(X)
a__U261(X1, X2) → U261(X1, X2)
a__U262(X) → U262(X)
a__U271(X1, X2) → U271(X1, X2)
a__U272(X) → U272(X)
a__U281(X1, X2) → U281(X1, X2)
a__U282(X1, X2) → U282(X1, X2)
a__natsFrom(X) → natsFrom(X)
a__U291(X1, X2, X3) → U291(X1, X2, X3)
a__U292(X1, X2, X3) → U292(X1, X2, X3)
a__U293(X1, X2, X3) → U293(X1, X2, X3)
a__U294(X1, X2, X3) → U294(X1, X2, X3)
a__head(X) → head(X)
a__afterNth(X1, X2) → afterNth(X1, X2)
a__U301(X1, X2, X3) → U301(X1, X2, X3)
a__U302(X1, X2) → U302(X1, X2)
a__U303(X1, X2) → U303(X1, X2)
a__U304(X1, X2) → U304(X1, X2)
a__U31(X1, X2, X3) → U31(X1, X2, X3)
a__U32(X1, X2, X3) → U32(X1, X2, X3)
a__U311(X1, X2) → U311(X1, X2)
a__U312(X1, X2) → U312(X1, X2)
a__U33(X1, X2, X3) → U33(X1, X2, X3)
a__U321(X1, X2, X3, X4) → U321(X1, X2, X3, X4)
a__U322(X1, X2, X3, X4) → U322(X1, X2, X3, X4)
a__U323(X1, X2, X3, X4) → U323(X1, X2, X3, X4)
a__U324(X1, X2, X3, X4) → U324(X1, X2, X3, X4)
a__U325(X1, X2, X3, X4) → U325(X1, X2, X3, X4)
a__U326(X1, X2, X3, X4) → U326(X1, X2, X3, X4)
a__U327(X1, X2) → U327(X1, X2)
a__U34(X1, X2) → U34(X1, X2)
a__U331(X1, X2, X3) → U331(X1, X2, X3)
a__U332(X1, X2) → U332(X1, X2)
a__U333(X1, X2) → U333(X1, X2)
a__U334(X1, X2) → U334(X1, X2)
a__U341(X1, X2, X3) → U341(X1, X2, X3)
a__U342(X1, X2, X3) → U342(X1, X2, X3)
a__U343(X1, X2, X3) → U343(X1, X2, X3)
a__U344(X1, X2, X3) → U344(X1, X2, X3)
a__fst(X) → fst(X)
a__U41(X1, X2, X3) → U41(X1, X2, X3)
a__U42(X1, X2, X3) → U42(X1, X2, X3)
a__U43(X1, X2, X3) → U43(X1, X2, X3)
a__U44(X1, X2, X3) → U44(X1, X2, X3)
a__U45(X1, X2) → U45(X1, X2)
a__U46(X) → U46(X)
a__U51(X1, X2, X3) → U51(X1, X2, X3)
a__U52(X1, X2, X3) → U52(X1, X2, X3)
a__U53(X1, X2, X3) → U53(X1, X2, X3)
a__U54(X1, X2, X3) → U54(X1, X2, X3)
a__U55(X1, X2) → U55(X1, X2)
a__U56(X) → U56(X)
a__U61(X1, X2) → U61(X1, X2)
a__U62(X1, X2) → U62(X1, X2)
a__isPLNatKind(X) → isPLNatKind(X)
a__U63(X) → U63(X)
a__isPLNat(X) → isPLNat(X)
a__U71(X1, X2) → U71(X1, X2)
a__U72(X1, X2) → U72(X1, X2)
a__U73(X) → U73(X)
a__U81(X1, X2) → U81(X1, X2)
a__U82(X1, X2) → U82(X1, X2)
a__U83(X) → U83(X)
a__U91(X1, X2) → U91(X1, X2)
a__U92(X1, X2) → U92(X1, X2)
a__U93(X) → U93(X)
a__tail(X) → tail(X)
a__take(X1, X2) → take(X1, X2)
a__sel(X1, X2) → sel(X1, X2)

Q is empty.