MAYBE
0.78/0.89	MAYBE
0.78/0.90	
0.78/0.90	Problem:
0.78/0.90	 active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
0.78/0.90	 active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
0.78/0.90	 active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
0.78/0.90	 active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
0.78/0.90	 active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
0.78/0.90	 active(U106(tt())) -> mark(tt())
0.78/0.90	 active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
0.78/0.90	 active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
0.78/0.90	 active(U112(tt())) -> mark(tt())
0.78/0.90	 active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
0.78/0.90	 active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
0.78/0.90	 active(U122(tt())) -> mark(tt())
0.78/0.90	 active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
0.78/0.90	 active(U131(tt())) -> mark(tt())
0.78/0.90	 active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
0.78/0.90	 active(U141(tt())) -> mark(tt())
0.78/0.90	 active(U151(tt())) -> mark(tt())
0.78/0.90	 active(U161(tt())) -> mark(tt())
0.78/0.90	 active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
0.78/0.90	 active(U172(tt())) -> mark(tt())
0.78/0.90	 active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
0.78/0.90	 active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
0.87/0.90	 active(U183(tt())) -> mark(tt())
0.87/0.90	 active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
0.87/0.90	 active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
0.87/0.90	 active(U193(tt())) -> mark(tt())
0.87/0.90	 active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
0.87/0.90	 active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
0.87/0.90	 active(U206(tt())) -> mark(tt())
0.87/0.90	 active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
0.87/0.90	 active(U211(tt())) -> mark(tt())
0.87/0.90	 active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
0.87/0.90	 active(U221(tt())) -> mark(tt())
0.87/0.90	 active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
0.87/0.90	 active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
0.87/0.90	 active(U232(tt())) -> mark(tt())
0.87/0.90	 active(U24(tt(),X)) -> mark(X)
0.87/0.90	 active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
0.87/0.90	 active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
0.87/0.90	 active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
0.87/0.90	 active(U246(tt())) -> mark(tt())
0.87/0.90	 active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
0.87/0.90	 active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
0.87/0.90	 active(U256(tt())) -> mark(tt())
0.87/0.90	 active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
0.87/0.90	 active(U262(tt())) -> mark(tt())
0.87/0.90	 active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
0.87/0.90	 active(U272(tt())) -> mark(tt())
0.87/0.90	 active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
0.87/0.90	 active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
0.87/0.90	 active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
0.87/0.90	 active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
0.87/0.90	 active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
0.87/0.90	 active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
0.87/0.90	 active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
0.87/0.90	 active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
0.87/0.90	 active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
0.87/0.90	 active(U304(tt(),Y)) -> mark(Y)
0.87/0.90	 active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
0.87/0.90	 active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
0.87/0.90	 active(U312(tt(),XS)) -> mark(pair(nil(),XS))
0.87/0.90	 active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
0.87/0.90	 active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
0.87/0.90	 active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
0.87/0.90	 active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
0.87/0.90	 active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
0.87/0.90	 active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
0.87/0.90	 active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
0.87/0.90	 active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
0.87/0.90	 active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
0.87/0.90	 active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
0.87/0.90	 active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
0.87/0.90	 active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
0.87/0.90	 active(U334(tt(),XS)) -> mark(XS)
0.87/0.90	 active(U34(tt(),N)) -> mark(N)
0.87/0.90	 active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
0.87/0.90	 active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
0.87/0.90	 active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
0.87/0.90	 active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
0.87/0.90	 active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
0.87/0.90	 active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
0.87/0.90	 active(U46(tt())) -> mark(tt())
0.87/0.90	 active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
0.87/0.90	 active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
0.87/0.90	 active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
0.87/0.90	 active(U56(tt())) -> mark(tt())
0.87/0.90	 active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
0.87/0.90	 active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
0.87/0.90	 active(U63(tt())) -> mark(tt())
0.87/0.90	 active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
0.87/0.90	 active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
0.87/0.90	 active(U73(tt())) -> mark(tt())
0.87/0.90	 active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
0.87/0.90	 active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
0.87/0.90	 active(U83(tt())) -> mark(tt())
0.87/0.90	 active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
0.87/0.90	 active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
0.87/0.90	 active(U93(tt())) -> mark(tt())
0.87/0.90	 active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
0.87/0.90	 active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
0.87/0.90	 active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
0.87/0.90	 active(isLNat(nil())) -> mark(tt())
0.87/0.90	 active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
0.87/0.90	 active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
0.87/0.90	 active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
0.87/0.90	 active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
0.87/0.90	 active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(isLNatKind(nil())) -> mark(tt())
0.87/0.90	 active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
0.87/0.90	 active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
0.87/0.90	 active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
0.87/0.90	 active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
0.87/0.90	 active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
0.87/0.90	 active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
0.87/0.90	 active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
0.87/0.90	 active(isNatural(0())) -> mark(tt())
0.87/0.90	 active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
0.87/0.90	 active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
0.87/0.90	 active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(isNaturalKind(0())) -> mark(tt())
0.87/0.90	 active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
0.87/0.90	 active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
0.87/0.90	 active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
0.87/0.90	 active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
0.87/0.90	 active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
0.87/0.90	 active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
0.87/0.90	 active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
0.87/0.90	 active(natsFrom(N)) -> mark(U281(isNatural(N),N))
0.87/0.90	 active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
0.87/0.90	 active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
0.87/0.90	 active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
0.87/0.90	 active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
0.87/0.90	 active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
0.87/0.90	 active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
0.87/0.90	 active(U101(X1,X2,X3)) -> U101(active(X1),X2,X3)
0.87/0.90	 active(U102(X1,X2,X3)) -> U102(active(X1),X2,X3)
0.87/0.90	 active(U103(X1,X2,X3)) -> U103(active(X1),X2,X3)
0.87/0.90	 active(U104(X1,X2,X3)) -> U104(active(X1),X2,X3)
0.87/0.90	 active(U105(X1,X2)) -> U105(active(X1),X2)
0.87/0.90	 active(U106(X)) -> U106(active(X))
0.87/0.90	 active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
0.87/0.90	 active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
0.87/0.90	 active(U111(X1,X2)) -> U111(active(X1),X2)
0.87/0.90	 active(U112(X)) -> U112(active(X))
0.87/0.90	 active(U13(X1,X2,X3)) -> U13(active(X1),X2,X3)
0.87/0.90	 active(U121(X1,X2)) -> U121(active(X1),X2)
0.87/0.90	 active(U122(X)) -> U122(active(X))
0.87/0.90	 active(U14(X1,X2,X3)) -> U14(active(X1),X2,X3)
0.87/0.90	 active(U131(X)) -> U131(active(X))
0.87/0.90	 active(snd(X)) -> snd(active(X))
0.87/0.90	 active(splitAt(X1,X2)) -> splitAt(active(X1),X2)
0.87/0.90	 active(splitAt(X1,X2)) -> splitAt(X1,active(X2))
0.87/0.90	 active(U141(X)) -> U141(active(X))
0.87/0.90	 active(U151(X)) -> U151(active(X))
0.87/0.90	 active(U161(X)) -> U161(active(X))
0.87/0.90	 active(U171(X1,X2)) -> U171(active(X1),X2)
0.87/0.90	 active(U172(X)) -> U172(active(X))
0.87/0.90	 active(U181(X1,X2)) -> U181(active(X1),X2)
0.87/0.90	 active(U182(X1,X2)) -> U182(active(X1),X2)
0.87/0.90	 active(U183(X)) -> U183(active(X))
0.87/0.90	 active(U191(X1,X2)) -> U191(active(X1),X2)
0.87/0.90	 active(U192(X1,X2)) -> U192(active(X1),X2)
0.87/0.90	 active(U193(X)) -> U193(active(X))
0.87/0.90	 active(U201(X1,X2,X3)) -> U201(active(X1),X2,X3)
0.87/0.90	 active(U202(X1,X2,X3)) -> U202(active(X1),X2,X3)
0.87/0.90	 active(U203(X1,X2,X3)) -> U203(active(X1),X2,X3)
0.87/0.90	 active(U204(X1,X2,X3)) -> U204(active(X1),X2,X3)
0.87/0.90	 active(U205(X1,X2)) -> U205(active(X1),X2)
0.87/0.90	 active(U206(X)) -> U206(active(X))
0.87/0.90	 active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
0.87/0.90	 active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
0.87/0.90	 active(U211(X)) -> U211(active(X))
0.87/0.90	 active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
0.87/0.90	 active(U221(X)) -> U221(active(X))
0.87/0.90	 active(U24(X1,X2)) -> U24(active(X1),X2)
0.87/0.90	 active(U231(X1,X2)) -> U231(active(X1),X2)
0.87/0.90	 active(U232(X)) -> U232(active(X))
0.87/0.90	 active(U241(X1,X2,X3)) -> U241(active(X1),X2,X3)
0.87/0.90	 active(U242(X1,X2,X3)) -> U242(active(X1),X2,X3)
0.87/0.90	 active(U243(X1,X2,X3)) -> U243(active(X1),X2,X3)
0.87/0.90	 active(U244(X1,X2,X3)) -> U244(active(X1),X2,X3)
0.87/0.90	 active(U245(X1,X2)) -> U245(active(X1),X2)
0.87/0.90	 active(U246(X)) -> U246(active(X))
0.87/0.90	 active(U251(X1,X2,X3)) -> U251(active(X1),X2,X3)
0.87/0.90	 active(U252(X1,X2,X3)) -> U252(active(X1),X2,X3)
0.87/0.90	 active(U253(X1,X2,X3)) -> U253(active(X1),X2,X3)
0.87/0.90	 active(U254(X1,X2,X3)) -> U254(active(X1),X2,X3)
0.87/0.90	 active(U255(X1,X2)) -> U255(active(X1),X2)
0.87/0.90	 active(U256(X)) -> U256(active(X))
0.87/0.90	 active(U261(X1,X2)) -> U261(active(X1),X2)
0.87/0.90	 active(U262(X)) -> U262(active(X))
0.87/0.90	 active(U271(X1,X2)) -> U271(active(X1),X2)
0.87/0.90	 active(U272(X)) -> U272(active(X))
0.87/0.90	 active(U281(X1,X2)) -> U281(active(X1),X2)
0.87/0.90	 active(U282(X1,X2)) -> U282(active(X1),X2)
0.87/0.90	 active(cons(X1,X2)) -> cons(active(X1),X2)
0.87/0.90	 active(natsFrom(X)) -> natsFrom(active(X))
0.87/0.90	 active(s(X)) -> s(active(X))
0.87/0.90	 active(U291(X1,X2,X3)) -> U291(active(X1),X2,X3)
0.87/0.90	 active(U292(X1,X2,X3)) -> U292(active(X1),X2,X3)
0.87/0.90	 active(U293(X1,X2,X3)) -> U293(active(X1),X2,X3)
0.87/0.90	 active(U294(X1,X2,X3)) -> U294(active(X1),X2,X3)
0.87/0.90	 active(head(X)) -> head(active(X))
0.87/0.90	 active(afterNth(X1,X2)) -> afterNth(active(X1),X2)
0.87/0.90	 active(afterNth(X1,X2)) -> afterNth(X1,active(X2))
0.87/0.90	 active(U301(X1,X2,X3)) -> U301(active(X1),X2,X3)
0.87/0.90	 active(U302(X1,X2)) -> U302(active(X1),X2)
0.87/0.90	 active(U303(X1,X2)) -> U303(active(X1),X2)
0.87/0.90	 active(U304(X1,X2)) -> U304(active(X1),X2)
0.87/0.90	 active(U31(X1,X2,X3)) -> U31(active(X1),X2,X3)
0.87/0.90	 active(U32(X1,X2,X3)) -> U32(active(X1),X2,X3)
0.87/0.90	 active(U311(X1,X2)) -> U311(active(X1),X2)
0.87/0.90	 active(U312(X1,X2)) -> U312(active(X1),X2)
0.87/0.90	 active(pair(X1,X2)) -> pair(active(X1),X2)
0.87/0.90	 active(pair(X1,X2)) -> pair(X1,active(X2))
0.87/0.90	 active(U33(X1,X2,X3)) -> U33(active(X1),X2,X3)
0.87/0.90	 active(U321(X1,X2,X3,X4)) -> U321(active(X1),X2,X3,X4)
0.87/0.90	 active(U322(X1,X2,X3,X4)) -> U322(active(X1),X2,X3,X4)
0.87/0.90	 active(U323(X1,X2,X3,X4)) -> U323(active(X1),X2,X3,X4)
0.87/0.90	 active(U324(X1,X2,X3,X4)) -> U324(active(X1),X2,X3,X4)
0.87/0.90	 active(U325(X1,X2,X3,X4)) -> U325(active(X1),X2,X3,X4)
0.87/0.90	 active(U326(X1,X2,X3,X4)) -> U326(active(X1),X2,X3,X4)
0.87/0.90	 active(U327(X1,X2)) -> U327(active(X1),X2)
0.87/0.90	 active(U34(X1,X2)) -> U34(active(X1),X2)
0.87/0.90	 active(U331(X1,X2,X3)) -> U331(active(X1),X2,X3)
0.87/0.90	 active(U332(X1,X2)) -> U332(active(X1),X2)
0.87/0.90	 active(U333(X1,X2)) -> U333(active(X1),X2)
0.87/0.90	 active(U334(X1,X2)) -> U334(active(X1),X2)
0.87/0.90	 active(U341(X1,X2,X3)) -> U341(active(X1),X2,X3)
0.87/0.90	 active(U342(X1,X2,X3)) -> U342(active(X1),X2,X3)
0.87/0.90	 active(U343(X1,X2,X3)) -> U343(active(X1),X2,X3)
0.87/0.91	 active(U344(X1,X2,X3)) -> U344(active(X1),X2,X3)
0.87/0.91	 active(fst(X)) -> fst(active(X))
0.87/0.91	 active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
0.87/0.91	 active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
0.87/0.91	 active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
0.87/0.91	 active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
0.87/0.91	 active(U45(X1,X2)) -> U45(active(X1),X2)
0.87/0.91	 active(U46(X)) -> U46(active(X))
0.87/0.91	 active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
0.87/0.91	 active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
0.87/0.91	 active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
0.87/0.91	 active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
0.87/0.91	 active(U55(X1,X2)) -> U55(active(X1),X2)
0.87/0.91	 active(U56(X)) -> U56(active(X))
0.87/0.91	 active(U61(X1,X2)) -> U61(active(X1),X2)
0.87/0.91	 active(U62(X1,X2)) -> U62(active(X1),X2)
0.87/0.91	 active(U63(X)) -> U63(active(X))
0.87/0.91	 active(U71(X1,X2)) -> U71(active(X1),X2)
0.87/0.91	 active(U72(X1,X2)) -> U72(active(X1),X2)
0.87/0.91	 active(U73(X)) -> U73(active(X))
0.87/0.91	 active(U81(X1,X2)) -> U81(active(X1),X2)
0.87/0.91	 active(U82(X1,X2)) -> U82(active(X1),X2)
0.87/0.91	 active(U83(X)) -> U83(active(X))
0.87/0.91	 active(U91(X1,X2)) -> U91(active(X1),X2)
0.87/0.91	 active(U92(X1,X2)) -> U92(active(X1),X2)
0.87/0.91	 active(U93(X)) -> U93(active(X))
0.87/0.91	 active(tail(X)) -> tail(active(X))
0.87/0.91	 active(take(X1,X2)) -> take(active(X1),X2)
0.87/0.91	 active(take(X1,X2)) -> take(X1,active(X2))
0.87/0.91	 active(sel(X1,X2)) -> sel(active(X1),X2)
0.87/0.91	 active(sel(X1,X2)) -> sel(X1,active(X2))
0.87/0.91	 U101(mark(X1),X2,X3) -> mark(U101(X1,X2,X3))
0.87/0.91	 U102(mark(X1),X2,X3) -> mark(U102(X1,X2,X3))
0.87/0.91	 U103(mark(X1),X2,X3) -> mark(U103(X1,X2,X3))
0.87/0.91	 U104(mark(X1),X2,X3) -> mark(U104(X1,X2,X3))
0.87/0.91	 U105(mark(X1),X2) -> mark(U105(X1,X2))
0.87/0.91	 U106(mark(X)) -> mark(U106(X))
0.87/0.91	 U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
0.87/0.91	 U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
0.87/0.91	 U111(mark(X1),X2) -> mark(U111(X1,X2))
0.87/0.91	 U112(mark(X)) -> mark(U112(X))
0.87/0.91	 U13(mark(X1),X2,X3) -> mark(U13(X1,X2,X3))
0.87/0.91	 U121(mark(X1),X2) -> mark(U121(X1,X2))
0.87/0.91	 U122(mark(X)) -> mark(U122(X))
0.87/0.91	 U14(mark(X1),X2,X3) -> mark(U14(X1,X2,X3))
0.87/0.91	 U131(mark(X)) -> mark(U131(X))
0.87/0.91	 snd(mark(X)) -> mark(snd(X))
0.87/0.91	 splitAt(mark(X1),X2) -> mark(splitAt(X1,X2))
0.87/0.91	 splitAt(X1,mark(X2)) -> mark(splitAt(X1,X2))
0.87/0.91	 U141(mark(X)) -> mark(U141(X))
0.87/0.91	 U151(mark(X)) -> mark(U151(X))
0.87/0.91	 U161(mark(X)) -> mark(U161(X))
0.87/0.91	 U171(mark(X1),X2) -> mark(U171(X1,X2))
0.87/0.91	 U172(mark(X)) -> mark(U172(X))
0.87/0.91	 U181(mark(X1),X2) -> mark(U181(X1,X2))
0.87/0.91	 U182(mark(X1),X2) -> mark(U182(X1,X2))
0.87/0.91	 U183(mark(X)) -> mark(U183(X))
0.87/0.91	 U191(mark(X1),X2) -> mark(U191(X1,X2))
0.87/0.91	 U192(mark(X1),X2) -> mark(U192(X1,X2))
0.87/0.91	 U193(mark(X)) -> mark(U193(X))
0.87/0.91	 U201(mark(X1),X2,X3) -> mark(U201(X1,X2,X3))
0.87/0.91	 U202(mark(X1),X2,X3) -> mark(U202(X1,X2,X3))
0.87/0.91	 U203(mark(X1),X2,X3) -> mark(U203(X1,X2,X3))
0.87/0.91	 U204(mark(X1),X2,X3) -> mark(U204(X1,X2,X3))
0.87/0.91	 U205(mark(X1),X2) -> mark(U205(X1,X2))
0.87/0.91	 U206(mark(X)) -> mark(U206(X))
0.87/0.91	 U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
0.87/0.91	 U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
0.87/0.91	 U211(mark(X)) -> mark(U211(X))
0.87/0.91	 U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
0.87/0.91	 U221(mark(X)) -> mark(U221(X))
0.87/0.91	 U24(mark(X1),X2) -> mark(U24(X1,X2))
0.87/0.91	 U231(mark(X1),X2) -> mark(U231(X1,X2))
0.87/0.91	 U232(mark(X)) -> mark(U232(X))
0.87/0.91	 U241(mark(X1),X2,X3) -> mark(U241(X1,X2,X3))
0.87/0.91	 U242(mark(X1),X2,X3) -> mark(U242(X1,X2,X3))
0.87/0.91	 U243(mark(X1),X2,X3) -> mark(U243(X1,X2,X3))
0.87/0.91	 U244(mark(X1),X2,X3) -> mark(U244(X1,X2,X3))
0.87/0.91	 U245(mark(X1),X2) -> mark(U245(X1,X2))
0.87/0.91	 U246(mark(X)) -> mark(U246(X))
0.87/0.91	 U251(mark(X1),X2,X3) -> mark(U251(X1,X2,X3))
0.87/0.91	 U252(mark(X1),X2,X3) -> mark(U252(X1,X2,X3))
0.87/0.91	 U253(mark(X1),X2,X3) -> mark(U253(X1,X2,X3))
0.87/0.91	 U254(mark(X1),X2,X3) -> mark(U254(X1,X2,X3))
0.87/0.91	 U255(mark(X1),X2) -> mark(U255(X1,X2))
0.87/0.91	 U256(mark(X)) -> mark(U256(X))
0.87/0.91	 U261(mark(X1),X2) -> mark(U261(X1,X2))
0.87/0.91	 U262(mark(X)) -> mark(U262(X))
0.87/0.91	 U271(mark(X1),X2) -> mark(U271(X1,X2))
0.87/0.91	 U272(mark(X)) -> mark(U272(X))
0.87/0.91	 U281(mark(X1),X2) -> mark(U281(X1,X2))
0.87/0.91	 U282(mark(X1),X2) -> mark(U282(X1,X2))
0.87/0.91	 cons(mark(X1),X2) -> mark(cons(X1,X2))
0.87/0.91	 natsFrom(mark(X)) -> mark(natsFrom(X))
0.87/0.91	 s(mark(X)) -> mark(s(X))
0.87/0.91	 U291(mark(X1),X2,X3) -> mark(U291(X1,X2,X3))
0.87/0.91	 U292(mark(X1),X2,X3) -> mark(U292(X1,X2,X3))
0.87/0.91	 U293(mark(X1),X2,X3) -> mark(U293(X1,X2,X3))
0.87/0.91	 U294(mark(X1),X2,X3) -> mark(U294(X1,X2,X3))
0.87/0.91	 head(mark(X)) -> mark(head(X))
0.87/0.91	 afterNth(mark(X1),X2) -> mark(afterNth(X1,X2))
0.87/0.91	 afterNth(X1,mark(X2)) -> mark(afterNth(X1,X2))
0.87/0.91	 U301(mark(X1),X2,X3) -> mark(U301(X1,X2,X3))
0.87/0.91	 U302(mark(X1),X2) -> mark(U302(X1,X2))
0.87/0.91	 U303(mark(X1),X2) -> mark(U303(X1,X2))
0.87/0.91	 U304(mark(X1),X2) -> mark(U304(X1,X2))
0.87/0.91	 U31(mark(X1),X2,X3) -> mark(U31(X1,X2,X3))
0.87/0.91	 U32(mark(X1),X2,X3) -> mark(U32(X1,X2,X3))
0.87/0.91	 U311(mark(X1),X2) -> mark(U311(X1,X2))
0.87/0.91	 U312(mark(X1),X2) -> mark(U312(X1,X2))
0.87/0.91	 pair(mark(X1),X2) -> mark(pair(X1,X2))
0.87/0.91	 pair(X1,mark(X2)) -> mark(pair(X1,X2))
0.87/0.91	 U33(mark(X1),X2,X3) -> mark(U33(X1,X2,X3))
0.87/0.91	 U321(mark(X1),X2,X3,X4) -> mark(U321(X1,X2,X3,X4))
0.87/0.91	 U322(mark(X1),X2,X3,X4) -> mark(U322(X1,X2,X3,X4))
0.87/0.91	 U323(mark(X1),X2,X3,X4) -> mark(U323(X1,X2,X3,X4))
0.87/0.91	 U324(mark(X1),X2,X3,X4) -> mark(U324(X1,X2,X3,X4))
0.87/0.91	 U325(mark(X1),X2,X3,X4) -> mark(U325(X1,X2,X3,X4))
0.87/0.91	 U326(mark(X1),X2,X3,X4) -> mark(U326(X1,X2,X3,X4))
0.87/0.91	 U327(mark(X1),X2) -> mark(U327(X1,X2))
0.87/0.91	 U34(mark(X1),X2) -> mark(U34(X1,X2))
0.87/0.91	 U331(mark(X1),X2,X3) -> mark(U331(X1,X2,X3))
0.87/0.91	 U332(mark(X1),X2) -> mark(U332(X1,X2))
0.87/0.91	 U333(mark(X1),X2) -> mark(U333(X1,X2))
0.87/0.91	 U334(mark(X1),X2) -> mark(U334(X1,X2))
0.87/0.91	 U341(mark(X1),X2,X3) -> mark(U341(X1,X2,X3))
0.87/0.91	 U342(mark(X1),X2,X3) -> mark(U342(X1,X2,X3))
0.87/0.91	 U343(mark(X1),X2,X3) -> mark(U343(X1,X2,X3))
0.87/0.91	 U344(mark(X1),X2,X3) -> mark(U344(X1,X2,X3))
0.87/0.91	 fst(mark(X)) -> mark(fst(X))
0.87/0.91	 U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
0.87/0.91	 U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
0.87/0.91	 U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
0.87/0.91	 U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
0.87/0.91	 U45(mark(X1),X2) -> mark(U45(X1,X2))
0.87/0.91	 U46(mark(X)) -> mark(U46(X))
0.87/0.91	 U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
0.87/0.91	 U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
0.87/0.91	 U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
0.87/0.91	 U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
0.87/0.91	 U55(mark(X1),X2) -> mark(U55(X1,X2))
0.87/0.91	 U56(mark(X)) -> mark(U56(X))
0.87/0.91	 U61(mark(X1),X2) -> mark(U61(X1,X2))
0.87/0.91	 U62(mark(X1),X2) -> mark(U62(X1,X2))
0.87/0.91	 U63(mark(X)) -> mark(U63(X))
0.87/0.91	 U71(mark(X1),X2) -> mark(U71(X1,X2))
0.87/0.91	 U72(mark(X1),X2) -> mark(U72(X1,X2))
0.87/0.91	 U73(mark(X)) -> mark(U73(X))
0.87/0.91	 U81(mark(X1),X2) -> mark(U81(X1,X2))
0.87/0.91	 U82(mark(X1),X2) -> mark(U82(X1,X2))
0.87/0.91	 U83(mark(X)) -> mark(U83(X))
0.87/0.91	 U91(mark(X1),X2) -> mark(U91(X1,X2))
0.87/0.91	 U92(mark(X1),X2) -> mark(U92(X1,X2))
0.87/0.91	 U93(mark(X)) -> mark(U93(X))
0.87/0.91	 tail(mark(X)) -> mark(tail(X))
0.87/0.91	 take(mark(X1),X2) -> mark(take(X1,X2))
0.87/0.91	 take(X1,mark(X2)) -> mark(take(X1,X2))
0.87/0.91	 sel(mark(X1),X2) -> mark(sel(X1,X2))
0.87/0.91	 sel(X1,mark(X2)) -> mark(sel(X1,X2))
0.87/0.91	 proper(U101(X1,X2,X3)) -> U101(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(tt()) -> ok(tt())
0.87/0.91	 proper(U102(X1,X2,X3)) -> U102(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(isNaturalKind(X)) -> isNaturalKind(proper(X))
0.87/0.91	 proper(U103(X1,X2,X3)) -> U103(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(isLNatKind(X)) -> isLNatKind(proper(X))
0.87/0.91	 proper(U104(X1,X2,X3)) -> U104(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U105(X1,X2)) -> U105(proper(X1),proper(X2))
0.87/0.91	 proper(isNatural(X)) -> isNatural(proper(X))
0.87/0.91	 proper(U106(X)) -> U106(proper(X))
0.87/0.91	 proper(isLNat(X)) -> isLNat(proper(X))
0.87/0.91	 proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U111(X1,X2)) -> U111(proper(X1),proper(X2))
0.87/0.91	 proper(U112(X)) -> U112(proper(X))
0.87/0.91	 proper(U13(X1,X2,X3)) -> U13(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U121(X1,X2)) -> U121(proper(X1),proper(X2))
0.87/0.91	 proper(U122(X)) -> U122(proper(X))
0.87/0.91	 proper(U14(X1,X2,X3)) -> U14(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U131(X)) -> U131(proper(X))
0.87/0.91	 proper(snd(X)) -> snd(proper(X))
0.87/0.91	 proper(splitAt(X1,X2)) -> splitAt(proper(X1),proper(X2))
0.87/0.91	 proper(U141(X)) -> U141(proper(X))
0.87/0.91	 proper(U151(X)) -> U151(proper(X))
0.87/0.91	 proper(U161(X)) -> U161(proper(X))
0.87/0.91	 proper(U171(X1,X2)) -> U171(proper(X1),proper(X2))
0.87/0.91	 proper(U172(X)) -> U172(proper(X))
0.87/0.91	 proper(U181(X1,X2)) -> U181(proper(X1),proper(X2))
0.87/0.91	 proper(U182(X1,X2)) -> U182(proper(X1),proper(X2))
0.87/0.91	 proper(U183(X)) -> U183(proper(X))
0.87/0.91	 proper(U191(X1,X2)) -> U191(proper(X1),proper(X2))
0.87/0.91	 proper(U192(X1,X2)) -> U192(proper(X1),proper(X2))
0.87/0.91	 proper(U193(X)) -> U193(proper(X))
0.87/0.91	 proper(U201(X1,X2,X3)) -> U201(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U202(X1,X2,X3)) -> U202(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U203(X1,X2,X3)) -> U203(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U204(X1,X2,X3)) -> U204(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U205(X1,X2)) -> U205(proper(X1),proper(X2))
0.87/0.91	 proper(U206(X)) -> U206(proper(X))
0.87/0.91	 proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U211(X)) -> U211(proper(X))
0.87/0.91	 proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U221(X)) -> U221(proper(X))
0.87/0.91	 proper(U24(X1,X2)) -> U24(proper(X1),proper(X2))
0.87/0.91	 proper(U231(X1,X2)) -> U231(proper(X1),proper(X2))
0.87/0.91	 proper(U232(X)) -> U232(proper(X))
0.87/0.91	 proper(U241(X1,X2,X3)) -> U241(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U242(X1,X2,X3)) -> U242(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U243(X1,X2,X3)) -> U243(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U244(X1,X2,X3)) -> U244(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U245(X1,X2)) -> U245(proper(X1),proper(X2))
0.87/0.91	 proper(U246(X)) -> U246(proper(X))
0.87/0.91	 proper(U251(X1,X2,X3)) -> U251(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U252(X1,X2,X3)) -> U252(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U253(X1,X2,X3)) -> U253(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U254(X1,X2,X3)) -> U254(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U255(X1,X2)) -> U255(proper(X1),proper(X2))
0.87/0.91	 proper(U256(X)) -> U256(proper(X))
0.87/0.91	 proper(U261(X1,X2)) -> U261(proper(X1),proper(X2))
0.87/0.91	 proper(U262(X)) -> U262(proper(X))
0.87/0.91	 proper(U271(X1,X2)) -> U271(proper(X1),proper(X2))
0.87/0.91	 proper(U272(X)) -> U272(proper(X))
0.87/0.91	 proper(U281(X1,X2)) -> U281(proper(X1),proper(X2))
0.87/0.91	 proper(U282(X1,X2)) -> U282(proper(X1),proper(X2))
0.87/0.91	 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
0.87/0.91	 proper(natsFrom(X)) -> natsFrom(proper(X))
0.87/0.91	 proper(s(X)) -> s(proper(X))
0.87/0.91	 proper(U291(X1,X2,X3)) -> U291(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U292(X1,X2,X3)) -> U292(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U293(X1,X2,X3)) -> U293(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U294(X1,X2,X3)) -> U294(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(head(X)) -> head(proper(X))
0.87/0.91	 proper(afterNth(X1,X2)) -> afterNth(proper(X1),proper(X2))
0.87/0.91	 proper(U301(X1,X2,X3)) -> U301(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U302(X1,X2)) -> U302(proper(X1),proper(X2))
0.87/0.91	 proper(U303(X1,X2)) -> U303(proper(X1),proper(X2))
0.87/0.91	 proper(U304(X1,X2)) -> U304(proper(X1),proper(X2))
0.87/0.91	 proper(U31(X1,X2,X3)) -> U31(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U32(X1,X2,X3)) -> U32(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U311(X1,X2)) -> U311(proper(X1),proper(X2))
0.87/0.91	 proper(U312(X1,X2)) -> U312(proper(X1),proper(X2))
0.87/0.91	 proper(pair(X1,X2)) -> pair(proper(X1),proper(X2))
0.87/0.91	 proper(nil()) -> ok(nil())
0.87/0.91	 proper(U33(X1,X2,X3)) -> U33(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U321(X1,X2,X3,X4)) -> U321(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U322(X1,X2,X3,X4)) -> U322(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U323(X1,X2,X3,X4)) -> U323(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U324(X1,X2,X3,X4)) -> U324(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U325(X1,X2,X3,X4)) -> U325(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U326(X1,X2,X3,X4)) -> U326(proper(X1),proper(X2),proper(X3),proper(X4))
0.87/0.91	 proper(U327(X1,X2)) -> U327(proper(X1),proper(X2))
0.87/0.91	 proper(U34(X1,X2)) -> U34(proper(X1),proper(X2))
0.87/0.91	 proper(U331(X1,X2,X3)) -> U331(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U332(X1,X2)) -> U332(proper(X1),proper(X2))
0.87/0.91	 proper(U333(X1,X2)) -> U333(proper(X1),proper(X2))
0.87/0.91	 proper(U334(X1,X2)) -> U334(proper(X1),proper(X2))
0.87/0.91	 proper(U341(X1,X2,X3)) -> U341(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U342(X1,X2,X3)) -> U342(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U343(X1,X2,X3)) -> U343(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U344(X1,X2,X3)) -> U344(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(fst(X)) -> fst(proper(X))
0.87/0.91	 proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
0.87/0.91	 proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
0.87/0.92	 proper(U46(X)) -> U46(proper(X))
0.87/0.92	 proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
0.87/0.92	 proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
0.87/0.92	 proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
0.87/0.92	 proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
0.87/0.92	 proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
0.87/0.92	 proper(U56(X)) -> U56(proper(X))
0.87/0.92	 proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
0.87/0.92	 proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
0.87/0.92	 proper(isPLNatKind(X)) -> isPLNatKind(proper(X))
0.87/0.92	 proper(U63(X)) -> U63(proper(X))
0.87/0.92	 proper(isPLNat(X)) -> isPLNat(proper(X))
0.87/0.92	 proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
0.87/0.92	 proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
0.87/0.92	 proper(U73(X)) -> U73(proper(X))
0.87/0.92	 proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
0.87/0.92	 proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
0.87/0.92	 proper(U83(X)) -> U83(proper(X))
0.87/0.92	 proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
0.87/0.92	 proper(U92(X1,X2)) -> U92(proper(X1),proper(X2))
0.87/0.92	 proper(U93(X)) -> U93(proper(X))
0.87/0.92	 proper(tail(X)) -> tail(proper(X))
0.87/0.92	 proper(take(X1,X2)) -> take(proper(X1),proper(X2))
0.87/0.92	 proper(0()) -> ok(0())
0.87/0.92	 proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
0.87/0.92	 U101(ok(X1),ok(X2),ok(X3)) -> ok(U101(X1,X2,X3))
0.87/0.92	 U102(ok(X1),ok(X2),ok(X3)) -> ok(U102(X1,X2,X3))
0.87/0.92	 isNaturalKind(ok(X)) -> ok(isNaturalKind(X))
0.87/0.92	 U103(ok(X1),ok(X2),ok(X3)) -> ok(U103(X1,X2,X3))
0.87/0.92	 isLNatKind(ok(X)) -> ok(isLNatKind(X))
0.87/0.92	 U104(ok(X1),ok(X2),ok(X3)) -> ok(U104(X1,X2,X3))
0.87/0.92	 U105(ok(X1),ok(X2)) -> ok(U105(X1,X2))
0.87/0.92	 isNatural(ok(X)) -> ok(isNatural(X))
0.87/0.92	 U106(ok(X)) -> ok(U106(X))
0.87/0.92	 isLNat(ok(X)) -> ok(isLNat(X))
0.87/0.92	 U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
0.87/0.92	 U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
0.87/0.92	 U111(ok(X1),ok(X2)) -> ok(U111(X1,X2))
0.87/0.92	 U112(ok(X)) -> ok(U112(X))
0.87/0.92	 U13(ok(X1),ok(X2),ok(X3)) -> ok(U13(X1,X2,X3))
0.87/0.92	 U121(ok(X1),ok(X2)) -> ok(U121(X1,X2))
0.87/0.92	 U122(ok(X)) -> ok(U122(X))
0.87/0.92	 U14(ok(X1),ok(X2),ok(X3)) -> ok(U14(X1,X2,X3))
0.87/0.92	 U131(ok(X)) -> ok(U131(X))
0.87/0.92	 snd(ok(X)) -> ok(snd(X))
0.87/0.92	 splitAt(ok(X1),ok(X2)) -> ok(splitAt(X1,X2))
0.87/0.92	 U141(ok(X)) -> ok(U141(X))
0.87/0.92	 U151(ok(X)) -> ok(U151(X))
0.87/0.92	 U161(ok(X)) -> ok(U161(X))
0.87/0.92	 U171(ok(X1),ok(X2)) -> ok(U171(X1,X2))
0.87/0.92	 U172(ok(X)) -> ok(U172(X))
0.87/0.92	 U181(ok(X1),ok(X2)) -> ok(U181(X1,X2))
0.87/0.92	 U182(ok(X1),ok(X2)) -> ok(U182(X1,X2))
0.87/0.92	 U183(ok(X)) -> ok(U183(X))
0.87/0.92	 U191(ok(X1),ok(X2)) -> ok(U191(X1,X2))
0.87/0.92	 U192(ok(X1),ok(X2)) -> ok(U192(X1,X2))
0.87/0.92	 U193(ok(X)) -> ok(U193(X))
0.87/0.92	 U201(ok(X1),ok(X2),ok(X3)) -> ok(U201(X1,X2,X3))
0.87/0.92	 U202(ok(X1),ok(X2),ok(X3)) -> ok(U202(X1,X2,X3))
0.87/0.92	 U203(ok(X1),ok(X2),ok(X3)) -> ok(U203(X1,X2,X3))
0.87/0.92	 U204(ok(X1),ok(X2),ok(X3)) -> ok(U204(X1,X2,X3))
0.87/0.92	 U205(ok(X1),ok(X2)) -> ok(U205(X1,X2))
0.87/0.92	 U206(ok(X)) -> ok(U206(X))
0.87/0.92	 U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3))
0.87/0.92	 U22(ok(X1),ok(X2),ok(X3)) -> ok(U22(X1,X2,X3))
0.87/0.92	 U211(ok(X)) -> ok(U211(X))
0.87/0.92	 U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
0.87/0.92	 U221(ok(X)) -> ok(U221(X))
0.87/0.92	 U24(ok(X1),ok(X2)) -> ok(U24(X1,X2))
0.87/0.92	 U231(ok(X1),ok(X2)) -> ok(U231(X1,X2))
0.87/0.92	 U232(ok(X)) -> ok(U232(X))
0.87/0.92	 U241(ok(X1),ok(X2),ok(X3)) -> ok(U241(X1,X2,X3))
0.87/0.92	 U242(ok(X1),ok(X2),ok(X3)) -> ok(U242(X1,X2,X3))
0.87/0.92	 U243(ok(X1),ok(X2),ok(X3)) -> ok(U243(X1,X2,X3))
0.87/0.92	 U244(ok(X1),ok(X2),ok(X3)) -> ok(U244(X1,X2,X3))
0.87/0.92	 U245(ok(X1),ok(X2)) -> ok(U245(X1,X2))
0.87/0.92	 U246(ok(X)) -> ok(U246(X))
0.87/0.92	 U251(ok(X1),ok(X2),ok(X3)) -> ok(U251(X1,X2,X3))
0.87/0.92	 U252(ok(X1),ok(X2),ok(X3)) -> ok(U252(X1,X2,X3))
0.87/0.92	 U253(ok(X1),ok(X2),ok(X3)) -> ok(U253(X1,X2,X3))
0.87/0.92	 U254(ok(X1),ok(X2),ok(X3)) -> ok(U254(X1,X2,X3))
0.87/0.92	 U255(ok(X1),ok(X2)) -> ok(U255(X1,X2))
0.87/0.92	 U256(ok(X)) -> ok(U256(X))
0.87/0.92	 U261(ok(X1),ok(X2)) -> ok(U261(X1,X2))
0.87/0.92	 U262(ok(X)) -> ok(U262(X))
0.87/0.92	 U271(ok(X1),ok(X2)) -> ok(U271(X1,X2))
0.87/0.92	 U272(ok(X)) -> ok(U272(X))
0.87/0.92	 U281(ok(X1),ok(X2)) -> ok(U281(X1,X2))
0.87/0.92	 U282(ok(X1),ok(X2)) -> ok(U282(X1,X2))
0.87/0.92	 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
0.87/0.92	 natsFrom(ok(X)) -> ok(natsFrom(X))
0.87/0.92	 s(ok(X)) -> ok(s(X))
0.87/0.92	 U291(ok(X1),ok(X2),ok(X3)) -> ok(U291(X1,X2,X3))
0.87/0.92	 U292(ok(X1),ok(X2),ok(X3)) -> ok(U292(X1,X2,X3))
0.87/0.92	 U293(ok(X1),ok(X2),ok(X3)) -> ok(U293(X1,X2,X3))
0.87/0.92	 U294(ok(X1),ok(X2),ok(X3)) -> ok(U294(X1,X2,X3))
0.87/0.92	 head(ok(X)) -> ok(head(X))
0.87/0.92	 afterNth(ok(X1),ok(X2)) -> ok(afterNth(X1,X2))
0.87/0.92	 U301(ok(X1),ok(X2),ok(X3)) -> ok(U301(X1,X2,X3))
0.87/0.92	 U302(ok(X1),ok(X2)) -> ok(U302(X1,X2))
0.87/0.92	 U303(ok(X1),ok(X2)) -> ok(U303(X1,X2))
0.87/0.92	 U304(ok(X1),ok(X2)) -> ok(U304(X1,X2))
0.87/0.92	 U31(ok(X1),ok(X2),ok(X3)) -> ok(U31(X1,X2,X3))
0.87/0.92	 U32(ok(X1),ok(X2),ok(X3)) -> ok(U32(X1,X2,X3))
0.87/0.92	 U311(ok(X1),ok(X2)) -> ok(U311(X1,X2))
0.87/0.92	 U312(ok(X1),ok(X2)) -> ok(U312(X1,X2))
0.87/0.92	 pair(ok(X1),ok(X2)) -> ok(pair(X1,X2))
0.87/0.92	 U33(ok(X1),ok(X2),ok(X3)) -> ok(U33(X1,X2,X3))
0.87/0.92	 U321(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U321(X1,X2,X3,X4))
0.87/0.92	 U322(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U322(X1,X2,X3,X4))
0.87/0.92	 U323(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U323(X1,X2,X3,X4))
0.87/0.92	 U324(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U324(X1,X2,X3,X4))
0.87/0.92	 U325(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U325(X1,X2,X3,X4))
0.87/0.92	 U326(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U326(X1,X2,X3,X4))
0.87/0.92	 U327(ok(X1),ok(X2)) -> ok(U327(X1,X2))
0.87/0.92	 U34(ok(X1),ok(X2)) -> ok(U34(X1,X2))
0.87/0.92	 U331(ok(X1),ok(X2),ok(X3)) -> ok(U331(X1,X2,X3))
0.87/0.92	 U332(ok(X1),ok(X2)) -> ok(U332(X1,X2))
0.87/0.92	 U333(ok(X1),ok(X2)) -> ok(U333(X1,X2))
0.87/0.92	 U334(ok(X1),ok(X2)) -> ok(U334(X1,X2))
0.87/0.92	 U341(ok(X1),ok(X2),ok(X3)) -> ok(U341(X1,X2,X3))
0.87/0.92	 U342(ok(X1),ok(X2),ok(X3)) -> ok(U342(X1,X2,X3))
0.87/0.92	 U343(ok(X1),ok(X2),ok(X3)) -> ok(U343(X1,X2,X3))
0.87/0.92	 U344(ok(X1),ok(X2),ok(X3)) -> ok(U344(X1,X2,X3))
0.87/0.92	 fst(ok(X)) -> ok(fst(X))
0.87/0.92	 U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
0.87/0.92	 U42(ok(X1),ok(X2),ok(X3)) -> ok(U42(X1,X2,X3))
0.87/0.92	 U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
0.87/0.92	 U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
0.87/0.92	 U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
0.87/0.92	 U46(ok(X)) -> ok(U46(X))
0.87/0.92	 U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
0.87/0.92	 U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
0.87/0.92	 U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
0.87/0.92	 U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
0.87/0.92	 U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
0.87/0.92	 U56(ok(X)) -> ok(U56(X))
0.87/0.92	 U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
0.87/0.92	 U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
0.87/0.92	 isPLNatKind(ok(X)) -> ok(isPLNatKind(X))
0.87/0.92	 U63(ok(X)) -> ok(U63(X))
0.87/0.92	 isPLNat(ok(X)) -> ok(isPLNat(X))
0.87/0.92	 U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
0.87/0.92	 U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
0.87/0.92	 U73(ok(X)) -> ok(U73(X))
0.87/0.92	 U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
0.87/0.92	 U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
0.87/0.92	 U83(ok(X)) -> ok(U83(X))
0.87/0.92	 U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
0.87/0.92	 U92(ok(X1),ok(X2)) -> ok(U92(X1,X2))
0.87/0.92	 U93(ok(X)) -> ok(U93(X))
0.87/0.92	 tail(ok(X)) -> ok(tail(X))
0.87/0.92	 take(ok(X1),ok(X2)) -> ok(take(X1,X2))
0.87/0.92	 sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
0.87/0.92	 top(mark(X)) -> top(proper(X))
0.87/0.92	 top(ok(X)) -> top(active(X))
0.87/0.92	
0.87/0.92	Proof:
0.87/0.92	 Open
0.87/0.93	EOF