- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] U101(tt,V1,V2) ->
 U102(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[2] U102(tt,V1,V2) -> U103(isLNatKind(activate(V2)),activate(V1),activate(V2))
[3] U103(tt,V1,V2) -> U104(isLNatKind(activate(V2)),activate(V1),activate(V2))
[4] U104(tt,V1,V2) -> U105(isNatural(activate(V1)),activate(V2))
[5] U105(tt,V2) -> U106(isLNat(activate(V2)))
[6] U106(tt) -> tt
[7] U11(tt,N,XS) -> U12(isNaturalKind(activate(N)),activate(N),activate(XS))
[8] U111(tt,V2) -> U112(isLNatKind(activate(V2)))
[9] U112(tt) -> tt
[10] U12(tt,N,XS) -> U13(isLNat(activate(XS)),activate(N),activate(XS))
[11] U121(tt,V2) -> U122(isLNatKind(activate(V2)))
[12] U122(tt) -> tt
[13] U13(tt,N,XS) -> U14(isLNatKind(activate(XS)),activate(N),activate(XS))
[14] U131(tt) -> tt
[15] U14(tt,N,XS) -> snd(splitAt(activate(N),activate(XS)))
[16] U141(tt) -> tt
[17] U151(tt) -> tt
[18] U161(tt) -> tt
[19] U171(tt,V2) -> U172(isLNatKind(activate(V2)))
[20] U172(tt) -> tt
[21] U181(tt,V1) -> U182(isLNatKind(activate(V1)),activate(V1))
[22] U182(tt,V1) -> U183(isLNat(activate(V1)))
[23] U183(tt) -> tt
[24] U191(tt,V1) -> U192(isNaturalKind(activate(V1)),activate(V1))
[25] U192(tt,V1) -> U193(isNatural(activate(V1)))
[26] U193(tt) -> tt
[27] U201(tt,V1,V2) ->
 U202(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[28] U202(tt,V1,V2) -> U203(isLNatKind(activate(V2)),activate(V1),activate(V2))
[29] U203(tt,V1,V2) -> U204(isLNatKind(activate(V2)),activate(V1),activate(V2))
[30] U204(tt,V1,V2) -> U205(isNatural(activate(V1)),activate(V2))
[31] U205(tt,V2) -> U206(isLNat(activate(V2)))
[32] U206(tt) -> tt
[33] U21(tt,X,Y) -> U22(isLNatKind(activate(X)),activate(X),activate(Y))
[34] U211(tt) -> tt
[35] U22(tt,X,Y) -> U23(isLNat(activate(Y)),activate(X),activate(Y))
[36] U221(tt) -> tt
[37] U23(tt,X,Y) -> U24(isLNatKind(activate(Y)),activate(X))
[38] U231(tt,V2) -> U232(isLNatKind(activate(V2)))
[39] U232(tt) -> tt
[40] U24(tt,X) -> activate(X)
[41] U241(tt,V1,V2) -> U242(isLNatKind(activate(V1)),activate(V1),activate(V2))
[42] U242(tt,V1,V2) -> U243(isLNatKind(activate(V2)),activate(V1),activate(V2))
[43] U243(tt,V1,V2) -> U244(isLNatKind(activate(V2)),activate(V1),activate(V2))
[44] U244(tt,V1,V2) -> U245(isLNat(activate(V1)),activate(V2))
[45] U245(tt,V2) -> U246(isLNat(activate(V2)))
[46] U246(tt) -> tt
[47] U251(tt,V1,V2) ->
 U252(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[48] U252(tt,V1,V2) -> U253(isLNatKind(activate(V2)),activate(V1),activate(V2))
[49] U253(tt,V1,V2) -> U254(isLNatKind(activate(V2)),activate(V1),activate(V2))
[50] U254(tt,V1,V2) -> U255(isNatural(activate(V1)),activate(V2))
[51] U255(tt,V2) -> U256(isLNat(activate(V2)))
[52] U256(tt) -> tt
[53] U261(tt,V2) -> U262(isLNatKind(activate(V2)))
[54] U262(tt) -> tt
[55] U271(tt,V2) -> U272(isLNatKind(activate(V2)))
[56] U272(tt) -> tt
[57] U281(tt,N) -> U282(isNaturalKind(activate(N)),activate(N))
[58] U282(tt,N) -> cons(activate(N),n__natsFrom(n__s(activate(N))))
[59] U291(tt,N,XS) -> U292(isNaturalKind(activate(N)),activate(N),activate(XS))
[60] U292(tt,N,XS) -> U293(isLNat(activate(XS)),activate(N),activate(XS))
[61] U293(tt,N,XS) -> U294(isLNatKind(activate(XS)),activate(N),activate(XS))
[62] U294(tt,N,XS) -> head(afterNth(activate(N),activate(XS)))
[63] U301(tt,X,Y) -> U302(isLNatKind(activate(X)),activate(Y))
[64] U302(tt,Y) -> U303(isLNat(activate(Y)),activate(Y))
[65] U303(tt,Y) -> U304(isLNatKind(activate(Y)),activate(Y))
[66] U304(tt,Y) -> activate(Y)
[67] U31(tt,N,XS) -> U32(isNaturalKind(activate(N)),activate(N),activate(XS))
[68] U311(tt,XS) -> U312(isLNatKind(activate(XS)),activate(XS))
[69] U312(tt,XS) -> pair(nil,activate(XS))
[70] U32(tt,N,XS) -> U33(isLNat(activate(XS)),activate(N),activate(XS))
[71] U321(tt,N,X,XS) ->
 U322(isNaturalKind(activate(N)),activate(N),activate(X),activate(XS))
[72] U322(tt,N,X,XS) ->
 U323(isNatural(activate(X)),activate(N),activate(X),activate(XS))
[73] U323(tt,N,X,XS) ->
 U324(isNaturalKind(activate(X)),activate(N),activate(X),activate(XS))
[74] U324(tt,N,X,XS) ->
 U325(isLNat(activate(XS)),activate(N),activate(X),activate(XS))
[75] U325(tt,N,X,XS) ->
 U326(isLNatKind(activate(XS)),activate(N),activate(X),activate(XS))
[76] U326(tt,N,X,XS) -> U327(splitAt(activate(N),activate(XS)),activate(X))
[77] U327(pair(YS,ZS),X) -> pair(cons(activate(X),YS),ZS)
[78] U33(tt,N,XS) -> U34(isLNatKind(activate(XS)),activate(N))
[79] U331(tt,N,XS) -> U332(isNaturalKind(activate(N)),activate(XS))
[80] U332(tt,XS) -> U333(isLNat(activate(XS)),activate(XS))
[81] U333(tt,XS) -> U334(isLNatKind(activate(XS)),activate(XS))
[82] U334(tt,XS) -> activate(XS)
[83] U34(tt,N) -> activate(N)
[84] U341(tt,N,XS) -> U342(isNaturalKind(activate(N)),activate(N),activate(XS))
[85] U342(tt,N,XS) -> U343(isLNat(activate(XS)),activate(N),activate(XS))
[86] U343(tt,N,XS) -> U344(isLNatKind(activate(XS)),activate(N),activate(XS))
[87] U344(tt,N,XS) -> fst(splitAt(activate(N),activate(XS)))
[88] U41(tt,V1,V2) ->
 U42(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[89] U42(tt,V1,V2) -> U43(isLNatKind(activate(V2)),activate(V1),activate(V2))
[90] U43(tt,V1,V2) -> U44(isLNatKind(activate(V2)),activate(V1),activate(V2))
[91] U44(tt,V1,V2) -> U45(isNatural(activate(V1)),activate(V2))
[92] U45(tt,V2) -> U46(isLNat(activate(V2)))
[93] U46(tt) -> tt
[94] U51(tt,V1,V2) ->
 U52(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[95] U52(tt,V1,V2) -> U53(isLNatKind(activate(V2)),activate(V1),activate(V2))
[96] U53(tt,V1,V2) -> U54(isLNatKind(activate(V2)),activate(V1),activate(V2))
[97] U54(tt,V1,V2) -> U55(isNatural(activate(V1)),activate(V2))
[98] U55(tt,V2) -> U56(isLNat(activate(V2)))
[99] U56(tt) -> tt
[100] U61(tt,V1) -> U62(isPLNatKind(activate(V1)),activate(V1))
[101] U62(tt,V1) -> U63(isPLNat(activate(V1)))
[102] U63(tt) -> tt
[103] U71(tt,V1) -> U72(isNaturalKind(activate(V1)),activate(V1))
[104] U72(tt,V1) -> U73(isNatural(activate(V1)))
[105] U73(tt) -> tt
[106] U81(tt,V1) -> U82(isPLNatKind(activate(V1)),activate(V1))
[107] U82(tt,V1) -> U83(isPLNat(activate(V1)))
[108] U83(tt) -> tt
[109] U91(tt,V1) -> U92(isLNatKind(activate(V1)),activate(V1))
[110] U92(tt,V1) -> U93(isLNat(activate(V1)))
[111] U93(tt) -> tt
[112] afterNth(N,XS) -> U11(isNatural(N),N,XS)
[113] fst(pair(X,Y)) -> U21(isLNat(X),X,Y)
[114] head(cons(N,XS)) -> U31(isNatural(N),N,activate(XS))
[115] isLNat(n__nil) -> tt
[116] isLNat(n__afterNth(V1,V2)) ->
 U41(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[117] isLNat(n__cons(V1,V2)) ->
 U51(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[118] isLNat(n__fst(V1)) -> U61(isPLNatKind(activate(V1)),activate(V1))
[119] isLNat(n__natsFrom(V1)) -> U71(isNaturalKind(activate(V1)),activate(V1))
[120] isLNat(n__snd(V1)) -> U81(isPLNatKind(activate(V1)),activate(V1))
[121] isLNat(n__tail(V1)) -> U91(isLNatKind(activate(V1)),activate(V1))
[122] isLNat(n__take(V1,V2)) ->
 U101(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[123] isLNatKind(n__nil) -> tt
[124] isLNatKind(n__afterNth(V1,V2)) ->
 U111(isNaturalKind(activate(V1)),activate(V2))
[125] isLNatKind(n__cons(V1,V2)) ->
 U121(isNaturalKind(activate(V1)),activate(V2))
[126] isLNatKind(n__fst(V1)) -> U131(isPLNatKind(activate(V1)))
[127] isLNatKind(n__natsFrom(V1)) -> U141(isNaturalKind(activate(V1)))
[128] isLNatKind(n__snd(V1)) -> U151(isPLNatKind(activate(V1)))
[129] isLNatKind(n__tail(V1)) -> U161(isLNatKind(activate(V1)))
[130] isLNatKind(n__take(V1,V2)) ->
 U171(isNaturalKind(activate(V1)),activate(V2))
[131] isNatural(n__0) -> tt
[132] isNatural(n__head(V1)) -> U181(isLNatKind(activate(V1)),activate(V1))
[133] isNatural(n__s(V1)) -> U191(isNaturalKind(activate(V1)),activate(V1))
[134] isNatural(n__sel(V1,V2)) ->
 U201(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[135] isNaturalKind(n__0) -> tt
[136] isNaturalKind(n__head(V1)) -> U211(isLNatKind(activate(V1)))
[137] isNaturalKind(n__s(V1)) -> U221(isNaturalKind(activate(V1)))
[138] isNaturalKind(n__sel(V1,V2)) ->
 U231(isNaturalKind(activate(V1)),activate(V2))
[139] isPLNat(n__pair(V1,V2)) ->
 U241(isLNatKind(activate(V1)),activate(V1),activate(V2))
[140] isPLNat(n__splitAt(V1,V2)) ->
 U251(isNaturalKind(activate(V1)),activate(V1),activate(V2))
[141] isPLNatKind(n__pair(V1,V2)) ->
 U261(isLNatKind(activate(V1)),activate(V2))
[142] isPLNatKind(n__splitAt(V1,V2)) ->
 U271(isNaturalKind(activate(V1)),activate(V2))
[143] natsFrom(N) -> U281(isNatural(N),N)
[144] sel(N,XS) -> U291(isNatural(N),N,XS)
[145] snd(pair(X,Y)) -> U301(isLNat(X),X,Y)
[146] splitAt(0,XS) -> U311(isLNat(XS),XS)
[147] splitAt(s(N),cons(X,XS)) -> U321(isNatural(N),N,X,activate(XS))
[148] tail(cons(N,XS)) -> U331(isNatural(N),N,activate(XS))
[149] take(N,XS) -> U341(isNatural(N),N,XS)
[150] natsFrom(X) -> n__natsFrom(X)
[151] s(X) -> n__s(X)
[152] nil -> n__nil
[153] afterNth(X1,X2) -> n__afterNth(X1,X2)
[154] cons(X1,X2) -> n__cons(X1,X2)
[155] fst(X) -> n__fst(X)
[156] snd(X) -> n__snd(X)
[157] tail(X) -> n__tail(X)
[158] take(X1,X2) -> n__take(X1,X2)
[159] 0 -> n__0
[160] head(X) -> n__head(X)
[161] sel(X1,X2) -> n__sel(X1,X2)
[162] pair(X1,X2) -> n__pair(X1,X2)
[163] splitAt(X1,X2) -> n__splitAt(X1,X2)
[164] activate(n__natsFrom(X)) -> natsFrom(activate(X))
[165] activate(n__s(X)) -> s(activate(X))
[166] activate(n__nil) -> nil
[167] activate(n__afterNth(X1,X2)) -> afterNth(activate(X1),activate(X2))
[168] activate(n__cons(X1,X2)) -> cons(activate(X1),X2)
[169] activate(n__fst(X)) -> fst(activate(X))
[170] activate(n__snd(X)) -> snd(activate(X))
[171] activate(n__tail(X)) -> tail(activate(X))
[172] activate(n__take(X1,X2)) -> take(activate(X1),activate(X2))
[173] activate(n__0) -> 0
[174] activate(n__head(X)) -> head(activate(X))
[175] activate(n__sel(X1,X2)) -> sel(activate(X1),activate(X2))
[176] activate(n__pair(X1,X2)) -> pair(activate(X1),activate(X2))
[177] activate(n__splitAt(X1,X2)) -> splitAt(activate(X1),activate(X2))
[178] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_U101(tt,V1,V2) , Marked_U102(isNaturalKind(activate(V1)),activate(V1),
                          activate(V2))>
<Marked_U101(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
<Marked_U101(tt,V1,V2) , Marked_activate(V1)>
<Marked_U101(tt,V1,V2) , Marked_activate(V1)>
<Marked_U101(tt,V1,V2) , Marked_activate(V2)>
<Marked_U102(tt,V1,V2) , Marked_U103(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U102(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U102(tt,V1,V2) , Marked_activate(V2)>
<Marked_U102(tt,V1,V2) , Marked_activate(V1)>
<Marked_U102(tt,V1,V2) , Marked_activate(V2)>
<Marked_U103(tt,V1,V2) , Marked_U104(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U103(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U103(tt,V1,V2) , Marked_activate(V2)>
<Marked_U103(tt,V1,V2) , Marked_activate(V1)>
<Marked_U103(tt,V1,V2) , Marked_activate(V2)>
<Marked_U104(tt,V1,V2) , Marked_U105(isNatural(activate(V1)),activate(V2))>
<Marked_U104(tt,V1,V2) , Marked_isNatural(activate(V1))>
<Marked_U104(tt,V1,V2) , Marked_activate(V1)>
<Marked_U104(tt,V1,V2) , Marked_activate(V2)>
<Marked_U105(tt,V2) , Marked_U106(isLNat(activate(V2)))>
<Marked_U105(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U105(tt,V2) , Marked_activate(V2)>
<Marked_U11(tt,N,XS) , Marked_U12(isNaturalKind(activate(N)),activate(N),
                        activate(XS))>
<Marked_U11(tt,N,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U11(tt,N,XS) , Marked_activate(N)>
<Marked_U11(tt,N,XS) , Marked_activate(N)>
<Marked_U11(tt,N,XS) , Marked_activate(XS)>
<Marked_U111(tt,V2) , Marked_U112(isLNatKind(activate(V2)))>
<Marked_U111(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U111(tt,V2) , Marked_activate(V2)>
<Marked_U12(tt,N,XS) , Marked_U13(isLNat(activate(XS)),activate(N),
                        activate(XS))>
<Marked_U12(tt,N,XS) , Marked_isLNat(activate(XS))>
<Marked_U12(tt,N,XS) , Marked_activate(XS)>
<Marked_U12(tt,N,XS) , Marked_activate(N)>
<Marked_U12(tt,N,XS) , Marked_activate(XS)>
<Marked_U121(tt,V2) , Marked_U122(isLNatKind(activate(V2)))>
<Marked_U121(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U121(tt,V2) , Marked_activate(V2)>
<Marked_U13(tt,N,XS) , Marked_U14(isLNatKind(activate(XS)),activate(N),
                        activate(XS))>
<Marked_U13(tt,N,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U13(tt,N,XS) , Marked_activate(XS)>
<Marked_U13(tt,N,XS) , Marked_activate(N)>
<Marked_U13(tt,N,XS) , Marked_activate(XS)>
<Marked_U14(tt,N,XS) , Marked_snd(splitAt(activate(N),activate(XS)))>
<Marked_U14(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))>
<Marked_U14(tt,N,XS) , Marked_activate(N)>
<Marked_U14(tt,N,XS) , Marked_activate(XS)>
<Marked_U171(tt,V2) , Marked_U172(isLNatKind(activate(V2)))>
<Marked_U171(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U171(tt,V2) , Marked_activate(V2)>
<Marked_U181(tt,V1) , Marked_U182(isLNatKind(activate(V1)),activate(V1))>
<Marked_U181(tt,V1) , Marked_isLNatKind(activate(V1))>
<Marked_U181(tt,V1) , Marked_activate(V1)>
<Marked_U181(tt,V1) , Marked_activate(V1)>
<Marked_U182(tt,V1) , Marked_U183(isLNat(activate(V1)))>
<Marked_U182(tt,V1) , Marked_isLNat(activate(V1))>
<Marked_U182(tt,V1) , Marked_activate(V1)>
<Marked_U191(tt,V1) , Marked_U192(isNaturalKind(activate(V1)),activate(V1))>
<Marked_U191(tt,V1) , Marked_isNaturalKind(activate(V1))>
<Marked_U191(tt,V1) , Marked_activate(V1)>
<Marked_U191(tt,V1) , Marked_activate(V1)>
<Marked_U192(tt,V1) , Marked_U193(isNatural(activate(V1)))>
<Marked_U192(tt,V1) , Marked_isNatural(activate(V1))>
<Marked_U192(tt,V1) , Marked_activate(V1)>
<Marked_U201(tt,V1,V2) , Marked_U202(isNaturalKind(activate(V1)),activate(V1),
                          activate(V2))>
<Marked_U201(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
<Marked_U201(tt,V1,V2) , Marked_activate(V1)>
<Marked_U201(tt,V1,V2) , Marked_activate(V1)>
<Marked_U201(tt,V1,V2) , Marked_activate(V2)>
<Marked_U202(tt,V1,V2) , Marked_U203(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U202(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U202(tt,V1,V2) , Marked_activate(V2)>
<Marked_U202(tt,V1,V2) , Marked_activate(V1)>
<Marked_U202(tt,V1,V2) , Marked_activate(V2)>
<Marked_U203(tt,V1,V2) , Marked_U204(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U203(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U203(tt,V1,V2) , Marked_activate(V2)>
<Marked_U203(tt,V1,V2) , Marked_activate(V1)>
<Marked_U203(tt,V1,V2) , Marked_activate(V2)>
<Marked_U204(tt,V1,V2) , Marked_U205(isNatural(activate(V1)),activate(V2))>
<Marked_U204(tt,V1,V2) , Marked_isNatural(activate(V1))>
<Marked_U204(tt,V1,V2) , Marked_activate(V1)>
<Marked_U204(tt,V1,V2) , Marked_activate(V2)>
<Marked_U205(tt,V2) , Marked_U206(isLNat(activate(V2)))>
<Marked_U205(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U205(tt,V2) , Marked_activate(V2)>
<Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                       activate(Y))>
<Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))>
<Marked_U21(tt,X,Y) , Marked_activate(X)>
<Marked_U21(tt,X,Y) , Marked_activate(X)>
<Marked_U21(tt,X,Y) , Marked_activate(Y)>
<Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),activate(Y))>
<Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))>
<Marked_U22(tt,X,Y) , Marked_activate(Y)>
<Marked_U22(tt,X,Y) , Marked_activate(X)>
<Marked_U22(tt,X,Y) , Marked_activate(Y)>
<Marked_U23(tt,X,Y) , Marked_U24(isLNatKind(activate(Y)),activate(X))>
<Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))>
<Marked_U23(tt,X,Y) , Marked_activate(Y)>
<Marked_U23(tt,X,Y) , Marked_activate(X)>
<Marked_U231(tt,V2) , Marked_U232(isLNatKind(activate(V2)))>
<Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U231(tt,V2) , Marked_activate(V2)>
<Marked_U24(tt,X) , Marked_activate(X)>
<Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                          activate(V2))>
<Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))>
<Marked_U241(tt,V1,V2) , Marked_activate(V1)>
<Marked_U241(tt,V1,V2) , Marked_activate(V1)>
<Marked_U241(tt,V1,V2) , Marked_activate(V2)>
<Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U242(tt,V1,V2) , Marked_activate(V2)>
<Marked_U242(tt,V1,V2) , Marked_activate(V1)>
<Marked_U242(tt,V1,V2) , Marked_activate(V2)>
<Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U243(tt,V1,V2) , Marked_activate(V2)>
<Marked_U243(tt,V1,V2) , Marked_activate(V1)>
<Marked_U243(tt,V1,V2) , Marked_activate(V2)>
<Marked_U244(tt,V1,V2) , Marked_U245(isLNat(activate(V1)),activate(V2))>
<Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))>
<Marked_U244(tt,V1,V2) , Marked_activate(V1)>
<Marked_U244(tt,V1,V2) , Marked_activate(V2)>
<Marked_U245(tt,V2) , Marked_U246(isLNat(activate(V2)))>
<Marked_U245(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U245(tt,V2) , Marked_activate(V2)>
<Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),activate(V1),
                          activate(V2))>
<Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
<Marked_U251(tt,V1,V2) , Marked_activate(V1)>
<Marked_U251(tt,V1,V2) , Marked_activate(V1)>
<Marked_U251(tt,V1,V2) , Marked_activate(V2)>
<Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U252(tt,V1,V2) , Marked_activate(V2)>
<Marked_U252(tt,V1,V2) , Marked_activate(V1)>
<Marked_U252(tt,V1,V2) , Marked_activate(V2)>
<Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),activate(V1),
                          activate(V2))>
<Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U253(tt,V1,V2) , Marked_activate(V2)>
<Marked_U253(tt,V1,V2) , Marked_activate(V1)>
<Marked_U253(tt,V1,V2) , Marked_activate(V2)>
<Marked_U254(tt,V1,V2) , Marked_U255(isNatural(activate(V1)),activate(V2))>
<Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))>
<Marked_U254(tt,V1,V2) , Marked_activate(V1)>
<Marked_U254(tt,V1,V2) , Marked_activate(V2)>
<Marked_U255(tt,V2) , Marked_U256(isLNat(activate(V2)))>
<Marked_U255(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U255(tt,V2) , Marked_activate(V2)>
<Marked_U261(tt,V2) , Marked_U262(isLNatKind(activate(V2)))>
<Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U261(tt,V2) , Marked_activate(V2)>
<Marked_U271(tt,V2) , Marked_U272(isLNatKind(activate(V2)))>
<Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U271(tt,V2) , Marked_activate(V2)>
<Marked_U281(tt,N) , Marked_U282(isNaturalKind(activate(N)),activate(N))>
<Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))>
<Marked_U281(tt,N) , Marked_activate(N)>
<Marked_U281(tt,N) , Marked_activate(N)>
<Marked_U282(tt,N) , Marked_cons(activate(N),n__natsFrom(n__s(activate(N))))>
<Marked_U282(tt,N) , Marked_activate(N)>
<Marked_U282(tt,N) , Marked_activate(N)>
<Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                         activate(XS))>
<Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U291(tt,N,XS) , Marked_activate(N)>
<Marked_U291(tt,N,XS) , Marked_activate(N)>
<Marked_U291(tt,N,XS) , Marked_activate(XS)>
<Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                         activate(XS))>
<Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))>
<Marked_U292(tt,N,XS) , Marked_activate(XS)>
<Marked_U292(tt,N,XS) , Marked_activate(N)>
<Marked_U292(tt,N,XS) , Marked_activate(XS)>
<Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),activate(N),
                         activate(XS))>
<Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U293(tt,N,XS) , Marked_activate(XS)>
<Marked_U293(tt,N,XS) , Marked_activate(N)>
<Marked_U293(tt,N,XS) , Marked_activate(XS)>
<Marked_U294(tt,N,XS) , Marked_head(afterNth(activate(N),activate(XS)))>
<Marked_U294(tt,N,XS) , Marked_afterNth(activate(N),activate(XS))>
<Marked_U294(tt,N,XS) , Marked_activate(N)>
<Marked_U294(tt,N,XS) , Marked_activate(XS)>
<Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),activate(Y))>
<Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))>
<Marked_U301(tt,X,Y) , Marked_activate(X)>
<Marked_U301(tt,X,Y) , Marked_activate(Y)>
<Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))>
<Marked_U302(tt,Y) , Marked_isLNat(activate(Y))>
<Marked_U302(tt,Y) , Marked_activate(Y)>
<Marked_U302(tt,Y) , Marked_activate(Y)>
<Marked_U303(tt,Y) , Marked_U304(isLNatKind(activate(Y)),activate(Y))>
<Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))>
<Marked_U303(tt,Y) , Marked_activate(Y)>
<Marked_U303(tt,Y) , Marked_activate(Y)>
<Marked_U304(tt,Y) , Marked_activate(Y)>
<Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                        activate(XS))>
<Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U31(tt,N,XS) , Marked_activate(N)>
<Marked_U31(tt,N,XS) , Marked_activate(N)>
<Marked_U31(tt,N,XS) , Marked_activate(XS)>
<Marked_U311(tt,XS) , Marked_U312(isLNatKind(activate(XS)),activate(XS))>
<Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U311(tt,XS) , Marked_activate(XS)>
<Marked_U311(tt,XS) , Marked_activate(XS)>
<Marked_U312(tt,XS) , Marked_pair(nil,activate(XS))>
<Marked_U312(tt,XS) , Marked_nil>
<Marked_U312(tt,XS) , Marked_activate(XS)>
<Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                        activate(XS))>
<Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))>
<Marked_U32(tt,N,XS) , Marked_activate(XS)>
<Marked_U32(tt,N,XS) , Marked_activate(N)>
<Marked_U32(tt,N,XS) , Marked_activate(XS)>
<Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                           activate(X),activate(XS))>
<Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U321(tt,N,X,XS) , Marked_activate(N)>
<Marked_U321(tt,N,X,XS) , Marked_activate(N)>
<Marked_U321(tt,N,X,XS) , Marked_activate(X)>
<Marked_U321(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                           activate(X),activate(XS))>
<Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))>
<Marked_U322(tt,N,X,XS) , Marked_activate(X)>
<Marked_U322(tt,N,X,XS) , Marked_activate(N)>
<Marked_U322(tt,N,X,XS) , Marked_activate(X)>
<Marked_U322(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                           activate(X),activate(XS))>
<Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))>
<Marked_U323(tt,N,X,XS) , Marked_activate(X)>
<Marked_U323(tt,N,X,XS) , Marked_activate(N)>
<Marked_U323(tt,N,X,XS) , Marked_activate(X)>
<Marked_U323(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                           activate(X),activate(XS))>
<Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))>
<Marked_U324(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U324(tt,N,X,XS) , Marked_activate(N)>
<Marked_U324(tt,N,X,XS) , Marked_activate(X)>
<Marked_U324(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                           activate(X),activate(XS))>
<Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U325(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U325(tt,N,X,XS) , Marked_activate(N)>
<Marked_U325(tt,N,X,XS) , Marked_activate(X)>
<Marked_U325(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U326(tt,N,X,XS) , Marked_U327(splitAt(activate(N),activate(XS)),
                           activate(X))>
<Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))>
<Marked_U326(tt,N,X,XS) , Marked_activate(N)>
<Marked_U326(tt,N,X,XS) , Marked_activate(XS)>
<Marked_U326(tt,N,X,XS) , Marked_activate(X)>
<Marked_U327(pair(YS,ZS),X) , Marked_pair(cons(activate(X),YS),ZS)>
<Marked_U327(pair(YS,ZS),X) , Marked_cons(activate(X),YS)>
<Marked_U327(pair(YS,ZS),X) , Marked_activate(X)>
<Marked_U33(tt,N,XS) , Marked_U34(isLNatKind(activate(XS)),activate(N))>
<Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U33(tt,N,XS) , Marked_activate(XS)>
<Marked_U33(tt,N,XS) , Marked_activate(N)>
<Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),activate(XS))>
<Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U331(tt,N,XS) , Marked_activate(N)>
<Marked_U331(tt,N,XS) , Marked_activate(XS)>
<Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))>
<Marked_U332(tt,XS) , Marked_isLNat(activate(XS))>
<Marked_U332(tt,XS) , Marked_activate(XS)>
<Marked_U332(tt,XS) , Marked_activate(XS)>
<Marked_U333(tt,XS) , Marked_U334(isLNatKind(activate(XS)),activate(XS))>
<Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U333(tt,XS) , Marked_activate(XS)>
<Marked_U333(tt,XS) , Marked_activate(XS)>
<Marked_U334(tt,XS) , Marked_activate(XS)>
<Marked_U34(tt,N) , Marked_activate(N)>
<Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                         activate(XS))>
<Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))>
<Marked_U341(tt,N,XS) , Marked_activate(N)>
<Marked_U341(tt,N,XS) , Marked_activate(N)>
<Marked_U341(tt,N,XS) , Marked_activate(XS)>
<Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                         activate(XS))>
<Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))>
<Marked_U342(tt,N,XS) , Marked_activate(XS)>
<Marked_U342(tt,N,XS) , Marked_activate(N)>
<Marked_U342(tt,N,XS) , Marked_activate(XS)>
<Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),activate(N),
                         activate(XS))>
<Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))>
<Marked_U343(tt,N,XS) , Marked_activate(XS)>
<Marked_U343(tt,N,XS) , Marked_activate(N)>
<Marked_U343(tt,N,XS) , Marked_activate(XS)>
<Marked_U344(tt,N,XS) , Marked_fst(splitAt(activate(N),activate(XS)))>
<Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))>
<Marked_U344(tt,N,XS) , Marked_activate(N)>
<Marked_U344(tt,N,XS) , Marked_activate(XS)>
<Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                         activate(V2))>
<Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
<Marked_U41(tt,V1,V2) , Marked_activate(V1)>
<Marked_U41(tt,V1,V2) , Marked_activate(V1)>
<Marked_U41(tt,V1,V2) , Marked_activate(V2)>
<Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                         activate(V2))>
<Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U42(tt,V1,V2) , Marked_activate(V2)>
<Marked_U42(tt,V1,V2) , Marked_activate(V1)>
<Marked_U42(tt,V1,V2) , Marked_activate(V2)>
<Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),activate(V1),
                         activate(V2))>
<Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U43(tt,V1,V2) , Marked_activate(V2)>
<Marked_U43(tt,V1,V2) , Marked_activate(V1)>
<Marked_U43(tt,V1,V2) , Marked_activate(V2)>
<Marked_U44(tt,V1,V2) , Marked_U45(isNatural(activate(V1)),activate(V2))>
<Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))>
<Marked_U44(tt,V1,V2) , Marked_activate(V1)>
<Marked_U44(tt,V1,V2) , Marked_activate(V2)>
<Marked_U45(tt,V2) , Marked_U46(isLNat(activate(V2)))>
<Marked_U45(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U45(tt,V2) , Marked_activate(V2)>
<Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                         activate(V2))>
<Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
<Marked_U51(tt,V1,V2) , Marked_activate(V1)>
<Marked_U51(tt,V1,V2) , Marked_activate(V1)>
<Marked_U51(tt,V1,V2) , Marked_activate(V2)>
<Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                         activate(V2))>
<Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U52(tt,V1,V2) , Marked_activate(V2)>
<Marked_U52(tt,V1,V2) , Marked_activate(V1)>
<Marked_U52(tt,V1,V2) , Marked_activate(V2)>
<Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),activate(V1),
                         activate(V2))>
<Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
<Marked_U53(tt,V1,V2) , Marked_activate(V2)>
<Marked_U53(tt,V1,V2) , Marked_activate(V1)>
<Marked_U53(tt,V1,V2) , Marked_activate(V2)>
<Marked_U54(tt,V1,V2) , Marked_U55(isNatural(activate(V1)),activate(V2))>
<Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))>
<Marked_U54(tt,V1,V2) , Marked_activate(V1)>
<Marked_U54(tt,V1,V2) , Marked_activate(V2)>
<Marked_U55(tt,V2) , Marked_U56(isLNat(activate(V2)))>
<Marked_U55(tt,V2) , Marked_isLNat(activate(V2))>
<Marked_U55(tt,V2) , Marked_activate(V2)>
<Marked_U61(tt,V1) , Marked_U62(isPLNatKind(activate(V1)),activate(V1))>
<Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))>
<Marked_U61(tt,V1) , Marked_activate(V1)>
<Marked_U61(tt,V1) , Marked_activate(V1)>
<Marked_U62(tt,V1) , Marked_U63(isPLNat(activate(V1)))>
<Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))>
<Marked_U62(tt,V1) , Marked_activate(V1)>
<Marked_U71(tt,V1) , Marked_U72(isNaturalKind(activate(V1)),activate(V1))>
<Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))>
<Marked_U71(tt,V1) , Marked_activate(V1)>
<Marked_U71(tt,V1) , Marked_activate(V1)>
<Marked_U72(tt,V1) , Marked_U73(isNatural(activate(V1)))>
<Marked_U72(tt,V1) , Marked_isNatural(activate(V1))>
<Marked_U72(tt,V1) , Marked_activate(V1)>
<Marked_U81(tt,V1) , Marked_U82(isPLNatKind(activate(V1)),activate(V1))>
<Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))>
<Marked_U81(tt,V1) , Marked_activate(V1)>
<Marked_U81(tt,V1) , Marked_activate(V1)>
<Marked_U82(tt,V1) , Marked_U83(isPLNat(activate(V1)))>
<Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))>
<Marked_U82(tt,V1) , Marked_activate(V1)>
<Marked_U91(tt,V1) , Marked_U92(isLNatKind(activate(V1)),activate(V1))>
<Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))>
<Marked_U91(tt,V1) , Marked_activate(V1)>
<Marked_U91(tt,V1) , Marked_activate(V1)>
<Marked_U92(tt,V1) , Marked_U93(isLNat(activate(V1)))>
<Marked_U92(tt,V1) , Marked_isLNat(activate(V1))>
<Marked_U92(tt,V1) , Marked_activate(V1)>
<Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)>
<Marked_afterNth(N,XS) , Marked_isNatural(N)>
<Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)>
<Marked_fst(pair(X,Y)) , Marked_isLNat(X)>
<Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))>
<Marked_head(cons(N,XS)) , Marked_isNatural(N)>
<Marked_head(cons(N,XS)) , Marked_activate(XS)>
<Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))>
<Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
<Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                  activate(V1),activate(V2))>
<Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
<Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),activate(V1))>
<Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
<Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(V1)),
                                   activate(V1))>
<Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),activate(V1))>
<Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
<Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),activate(V1))>
<Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
<Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
<Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                  activate(V1),activate(V2))>
<Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
<Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
<Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(activate(V1)),
                                          activate(V2))>
<Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
<Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
<Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(activate(V1)),
                                      activate(V2))>
<Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
<Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
<Marked_isLNatKind(n__fst(V1)) , Marked_U131(isPLNatKind(activate(V1)))>
<Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
<Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
<Marked_isLNatKind(n__natsFrom(V1)) , Marked_U141(isNaturalKind(activate(V1)))>
<Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
<Marked_isLNatKind(n__snd(V1)) , Marked_U151(isPLNatKind(activate(V1)))>
<Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
<Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
<Marked_isLNatKind(n__tail(V1)) , Marked_U161(isLNatKind(activate(V1)))>
<Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
<Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
<Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(activate(V1)),
                                      activate(V2))>
<Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
<Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
<Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                  activate(V1))>
<Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
<Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
<Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
<Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                               activate(V1))>
<Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
<Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
<Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
<Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))>
<Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
<Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
<Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
<Marked_isNaturalKind(n__head(V1)) , Marked_U211(isLNatKind(activate(V1)))>
<Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
<Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
<Marked_isNaturalKind(n__s(V1)) , Marked_U221(isNaturalKind(activate(V1)))>
<Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
<Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
<Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(activate(V1)),
                                        activate(V2))>
<Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
<Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
<Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                   activate(V1),activate(V2))>
<Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
<Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)>
<Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))>
<Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)>
<Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(activate(V1)),
                                       activate(V2))>
<Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
<Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
<Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(activate(V1)),
                                          activate(V2))>
<Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))>
<Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
<Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
<Marked_natsFrom(N) , Marked_U281(isNatural(N),N)>
<Marked_natsFrom(N) , Marked_isNatural(N)>
<Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)>
<Marked_sel(N,XS) , Marked_isNatural(N)>
<Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)>
<Marked_snd(pair(X,Y)) , Marked_isLNat(X)>
<Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)>
<Marked_splitAt(0,XS) , Marked_isLNat(XS)>
<Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))>
<Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)>
<Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))>
<Marked_tail(cons(N,XS)) , Marked_isNatural(N)>
<Marked_tail(cons(N,XS)) , Marked_activate(XS)>
<Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)>
<Marked_take(N,XS) , Marked_isNatural(N)>
<Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
<Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
<Marked_activate(n__s(X)) , Marked_s(activate(X))>
<Marked_activate(n__s(X)) , Marked_activate(X)>
<Marked_activate(n__nil) , Marked_nil>
<Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                        activate(X2))>
<Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
<Marked_activate(n__cons(X1,X2)) , Marked_cons(activate(X1),X2)>
<Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
<Marked_activate(n__fst(X)) , Marked_activate(X)>
<Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
<Marked_activate(n__snd(X)) , Marked_activate(X)>
<Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
<Marked_activate(n__tail(X)) , Marked_activate(X)>
<Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),activate(X2))>
<Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
<Marked_activate(n__0) , Marked_0>
<Marked_activate(n__head(X)) , Marked_head(activate(X))>
<Marked_activate(n__head(X)) , Marked_activate(X)>
<Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),activate(X2))>
<Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
<Marked_activate(n__pair(X1,X2)) , Marked_pair(activate(X1),activate(X2))>
<Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
<Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),activate(X2))>
<Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
<Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
      --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                         activate(X2))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                         activate(X2))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                         activate(X2))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),
                                             N,X,activate(XS))>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                         activate(X2))> 
     --> <Marked_splitAt(0,XS) , Marked_isLNat(XS)>
  <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                         activate(X2))> 
     --> <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),activate(X2))> 
     --> <Marked_sel(N,XS) , Marked_isNatural(N)>
  <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),activate(X2))> 
     --> <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__head(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__head(X)) , Marked_head(activate(X))> 
     --> <Marked_head(cons(N,XS)) , Marked_activate(XS)>
  <Marked_activate(n__head(X)) , Marked_head(activate(X))> 
     --> <Marked_head(cons(N,XS)) , Marked_isNatural(N)>
  <Marked_activate(n__head(X)) , Marked_head(activate(X))> 
     --> <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),activate(X2))> 
     --> <Marked_take(N,XS) , Marked_isNatural(N)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),activate(X2))> 
     --> <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__tail(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__tail(X)) , Marked_tail(activate(X))> 
     --> <Marked_tail(cons(N,XS)) , Marked_activate(XS)>
  <Marked_activate(n__tail(X)) , Marked_tail(activate(X))> 
     --> <Marked_tail(cons(N,XS)) , Marked_isNatural(N)>
  <Marked_activate(n__tail(X)) , Marked_tail(activate(X))> 
     --> <Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__snd(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__snd(X)) , Marked_snd(activate(X))> 
     --> <Marked_snd(pair(X,Y)) , Marked_isLNat(X)>
  <Marked_activate(n__snd(X)) , Marked_snd(activate(X))> 
     --> <Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__fst(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__fst(X)) , Marked_fst(activate(X))> 
     --> <Marked_fst(pair(X,Y)) , Marked_isLNat(X)>
  <Marked_activate(n__fst(X)) , Marked_fst(activate(X))> 
     --> <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                          activate(X2))> 
     --> <Marked_afterNth(N,XS) , Marked_isNatural(N)>
  <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                          activate(X2))> 
     --> <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__s(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_activate(n__natsFrom(X)) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))> 
     --> <Marked_natsFrom(N) , Marked_isNatural(N)>
  <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))> 
     --> <Marked_natsFrom(N) , Marked_U281(isNatural(N),N)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_take(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)> 
     --> <Marked_U341(tt,N,XS) , Marked_activate(XS)>
  <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)> 
     --> <Marked_U341(tt,N,XS) , Marked_activate(N)>
  <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)> 
     --> <Marked_U341(tt,N,XS) , Marked_activate(N)>
  <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)> 
     --> <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_take(N,XS) , Marked_U341(isNatural(N),N,XS)> 
     --> <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),
                                  activate(N),activate(XS))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_tail(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_tail(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))> 
     --> <Marked_U331(tt,N,XS) , Marked_activate(XS)>
  <Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))> 
     --> <Marked_U331(tt,N,XS) , Marked_activate(N)>
  <Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))> 
     --> <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_tail(cons(N,XS)) , Marked_U331(isNatural(N),N,activate(XS))> 
     --> <Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),
                                  activate(XS))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_activate(X)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_activate(N)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_activate(N)>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),N,X,activate(XS))> 
     --> <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),
                                    activate(N),activate(X),activate(XS))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_splitAt(0,XS) , Marked_isLNat(XS)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)> 
     --> <Marked_U311(tt,XS) , Marked_activate(XS)>
  <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)> 
     --> <Marked_U311(tt,XS) , Marked_activate(XS)>
  <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)> 
     --> <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)> 
     --> <Marked_U311(tt,XS) , Marked_U312(isLNatKind(activate(XS)),
                                activate(XS))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_snd(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)> 
     --> <Marked_U301(tt,X,Y) , Marked_activate(Y)>
  <Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)> 
     --> <Marked_U301(tt,X,Y) , Marked_activate(X)>
  <Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)> 
     --> <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))>
  <Marked_snd(pair(X,Y)) , Marked_U301(isLNat(X),X,Y)> 
     --> <Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),
                                 activate(Y))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_sel(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)> 
     --> <Marked_U291(tt,N,XS) , Marked_activate(XS)>
  <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)> 
     --> <Marked_U291(tt,N,XS) , Marked_activate(N)>
  <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)> 
     --> <Marked_U291(tt,N,XS) , Marked_activate(N)>
  <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)> 
     --> <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_sel(N,XS) , Marked_U291(isNatural(N),N,XS)> 
     --> <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),
                                  activate(N),activate(XS))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_natsFrom(N) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_natsFrom(N) , Marked_U281(isNatural(N),N)> 
     --> <Marked_U281(tt,N) , Marked_activate(N)>
  <Marked_natsFrom(N) , Marked_U281(isNatural(N),N)> 
     --> <Marked_U281(tt,N) , Marked_activate(N)>
  <Marked_natsFrom(N) , Marked_U281(isNatural(N),N)> 
     --> <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))>
  <Marked_natsFrom(N) , Marked_U281(isNatural(N),N)> 
     --> <Marked_U281(tt,N) , Marked_U282(isNaturalKind(activate(N)),
                               activate(N))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                        activate(V1)),
                                            activate(V2))> 
     --> <Marked_U271(tt,V2) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                        activate(V1)),
                                            activate(V2))> 
     --> <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(activate(V1)),
                                         activate(V2))> 
     --> <Marked_U261(tt,V2) , Marked_activate(V2)>
  <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(activate(V1)),
                                         activate(V2))> 
     --> <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U251(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U251(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U251(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                                   activate(V1),activate(V2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                     activate(V1),activate(V2))> 
     --> <Marked_U241(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                     activate(V1),activate(V2))> 
     --> <Marked_U241(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                     activate(V1),activate(V2))> 
     --> <Marked_U241(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                     activate(V1),activate(V2))> 
     --> <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))>
  <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                     activate(V1),activate(V2))> 
     --> <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),
                                   activate(V1),activate(V2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(activate(V1)),
                                          activate(V2))> 
     --> <Marked_U231(tt,V2) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(activate(V1)),
                                          activate(V2))> 
     --> <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))> 
     --> <Marked_U201(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))> 
     --> <Marked_U201(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))> 
     --> <Marked_U201(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))> 
     --> <Marked_U201(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(activate(V1)),
                                      activate(V1),activate(V2))> 
     --> <Marked_U201(tt,V1,V2) , Marked_U202(isNaturalKind(activate(V1)),
                                   activate(V1),activate(V2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U191(tt,V1) , Marked_activate(V1)>
  <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U191(tt,V1) , Marked_activate(V1)>
  <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U191(tt,V1) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U191(tt,V1) , Marked_U192(isNaturalKind(activate(V1)),
                                activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isNatural(n__head(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                    activate(V1))> 
     --> <Marked_U181(tt,V1) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                    activate(V1))> 
     --> <Marked_U181(tt,V1) , Marked_activate(V1)>
  <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                    activate(V1))> 
     --> <Marked_U181(tt,V1) , Marked_isLNatKind(activate(V1))>
  <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                    activate(V1))> 
     --> <Marked_U181(tt,V1) , Marked_U182(isLNatKind(activate(V1)),
                                activate(V1))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U171(tt,V2) , Marked_activate(V2)>
  <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U171(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U121(tt,V2) , Marked_activate(V2)>
  <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U121(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                        activate(V1)),
                                            activate(V2))> 
     --> <Marked_U111(tt,V2) , Marked_activate(V2)>
  <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                        activate(V1)),
                                            activate(V2))> 
     --> <Marked_U111(tt,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U101(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U101(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U101(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U101(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U101(tt,V1,V2) , Marked_U102(isNaturalKind(activate(V1)),
                                   activate(V1),activate(V2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U91(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U91(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                 activate(V1))> 
     --> <Marked_U91(tt,V1) , Marked_U92(isLNatKind(activate(V1)),activate(V1))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U81(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U81(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U81(tt,V1) , Marked_U82(isPLNatKind(activate(V1)),
                               activate(V1))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(V1)),
                                     activate(V1))> 
     --> <Marked_U71(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(V1)),
                                     activate(V1))> 
     --> <Marked_U71(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(V1)),
                                     activate(V1))> 
     --> <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(V1)),
                                     activate(V1))> 
     --> <Marked_U71(tt,V1) , Marked_U72(isNaturalKind(activate(V1)),
                               activate(V1))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U61(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U61(tt,V1) , Marked_activate(V1)>
  <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))>
  <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                activate(V1))> 
     --> <Marked_U61(tt,V1) , Marked_U62(isPLNatKind(activate(V1)),
                               activate(V1))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U51(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U51(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U51(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                    activate(V1),activate(V2))> 
     --> <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),
                                  activate(V1),activate(V2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U41(tt,V1,V2) , Marked_activate(V2)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U41(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U41(tt,V1,V2) , Marked_activate(V1)>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))>
  <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(activate(V1)),
                                        activate(V1),activate(V2))> 
     --> <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),
                                  activate(V1),activate(V2))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_head(cons(N,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_head(cons(N,XS)) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))> 
     --> <Marked_U31(tt,N,XS) , Marked_activate(XS)>
  <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))> 
     --> <Marked_U31(tt,N,XS) , Marked_activate(N)>
  <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))> 
     --> <Marked_U31(tt,N,XS) , Marked_activate(N)>
  <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))> 
     --> <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))> 
     --> <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),
                                 activate(N),activate(XS))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_fst(pair(X,Y)) , Marked_isLNat(X)> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)> 
     --> <Marked_U21(tt,X,Y) , Marked_activate(Y)>
  <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)> 
     --> <Marked_U21(tt,X,Y) , Marked_activate(X)>
  <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)> 
     --> <Marked_U21(tt,X,Y) , Marked_activate(X)>
  <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)> 
     --> <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))>
  <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)> 
     --> <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                                activate(Y))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_afterNth(N,XS) , Marked_isNatural(N)> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)> 
     --> <Marked_U11(tt,N,XS) , Marked_activate(XS)>
  <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)> 
     --> <Marked_U11(tt,N,XS) , Marked_activate(N)>
  <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)> 
     --> <Marked_U11(tt,N,XS) , Marked_activate(N)>
  <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)> 
     --> <Marked_U11(tt,N,XS) , Marked_isNaturalKind(activate(N))>
  <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)> 
     --> <Marked_U11(tt,N,XS) , Marked_U12(isNaturalKind(activate(N)),
                                 activate(N),activate(XS))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U92(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U91(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U91(tt,V1) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U91(tt,V1) , Marked_U92(isLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U92(tt,V1) , Marked_activate(V1)>
  <Marked_U91(tt,V1) , Marked_U92(isLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U92(tt,V1) , Marked_isLNat(activate(V1))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U82(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(
                                                           activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                            activate(V1),activate(V2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U81(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_U81(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_U81(tt,V1) , Marked_U82(isPLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U82(tt,V1) , Marked_activate(V1)>
  <Marked_U81(tt,V1) , Marked_U82(isPLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U82(tt,V1) , Marked_isPLNat(activate(V1))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U72(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U71(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U71(tt,V1) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U71(tt,V1) , Marked_U72(isNaturalKind(activate(V1)),activate(V1))> 
     --> <Marked_U72(tt,V1) , Marked_activate(V1)>
  <Marked_U71(tt,V1) , Marked_U72(isNaturalKind(activate(V1)),activate(V1))> 
     --> <Marked_U72(tt,V1) , Marked_isNatural(activate(V1))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U62(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__splitAt(V1,V2)) , Marked_U251(isNaturalKind(
                                                           activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))> 
     --> <Marked_isPLNat(n__pair(V1,V2)) , Marked_U241(isLNatKind(activate(V1)),
                                            activate(V1),activate(V2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U61(tt,V1) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V2)>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_activate(V1)>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__splitAt(V1,V2)) , Marked_U271(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V2)>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_activate(V1)>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_isLNatKind(activate(V1))>
  <Marked_U61(tt,V1) , Marked_isPLNatKind(activate(V1))> 
     --> <Marked_isPLNatKind(n__pair(V1,V2)) , Marked_U261(isLNatKind(
                                                            activate(
                                                             V1)),activate(V2))>
  <Marked_U61(tt,V1) , Marked_U62(isPLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U62(tt,V1) , Marked_activate(V1)>
  <Marked_U61(tt,V1) , Marked_U62(isPLNatKind(activate(V1)),activate(V1))> 
     --> <Marked_U62(tt,V1) , Marked_isPLNat(activate(V1))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U55(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U54(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_U54(tt,V1,V2) , Marked_U55(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U55(tt,V2) , Marked_activate(V2)>
  <Marked_U54(tt,V1,V2) , Marked_U55(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U55(tt,V2) , Marked_isLNat(activate(V2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U53(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U54(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U54(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U54(tt,V1,V2) , Marked_isNatural(activate(V1))>
  <Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U54(tt,V1,V2) , Marked_U55(isNatural(activate(V1)),
                                  activate(V2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U52(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U53(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U53(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U53(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U53(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U53(tt,V1,V2) , Marked_U54(isLNatKind(activate(V2)),
                                  activate(V1),activate(V2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U51(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U51(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U52(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U52(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U52(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U52(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U51(tt,V1,V2) , Marked_U52(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U52(tt,V1,V2) , Marked_U53(isLNatKind(activate(V2)),
                                  activate(V1),activate(V2))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U45(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U44(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_U44(tt,V1,V2) , Marked_U45(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U45(tt,V2) , Marked_activate(V2)>
  <Marked_U44(tt,V1,V2) , Marked_U45(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U45(tt,V2) , Marked_isLNat(activate(V2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U43(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U44(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U44(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U44(tt,V1,V2) , Marked_isNatural(activate(V1))>
  <Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U44(tt,V1,V2) , Marked_U45(isNatural(activate(V1)),
                                  activate(V2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U42(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U43(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U43(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U43(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U43(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),activate(V1),
                           activate(V2))> 
     --> <Marked_U43(tt,V1,V2) , Marked_U44(isLNatKind(activate(V2)),
                                  activate(V1),activate(V2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U41(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U41(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U42(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U42(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U42(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U42(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U41(tt,V1,V2) , Marked_U42(isNaturalKind(activate(V1)),activate(V1),
                           activate(V2))> 
     --> <Marked_U42(tt,V1,V2) , Marked_U43(isLNatKind(activate(V2)),
                                  activate(V1),activate(V2))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U344(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)>
  <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)>
  <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),
                                             N,X,activate(XS))>
  <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(0,XS) , Marked_isLNat(XS)>
  <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)>
  <Marked_U344(tt,N,XS) , Marked_fst(splitAt(activate(N),activate(XS)))> 
     --> <Marked_fst(pair(X,Y)) , Marked_isLNat(X)>
  <Marked_U344(tt,N,XS) , Marked_fst(splitAt(activate(N),activate(XS)))> 
     --> <Marked_fst(pair(X,Y)) , Marked_U21(isLNat(X),X,Y)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U343(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U344(tt,N,XS) , Marked_activate(XS)>
  <Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U344(tt,N,XS) , Marked_activate(N)>
  <Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U344(tt,N,XS) , Marked_splitAt(activate(N),activate(XS))>
  <Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U344(tt,N,XS) , Marked_fst(splitAt(activate(N),activate(XS)))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U342(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U343(tt,N,XS) , Marked_activate(XS)>
  <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U343(tt,N,XS) , Marked_activate(N)>
  <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U343(tt,N,XS) , Marked_activate(XS)>
  <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U343(tt,N,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U343(tt,N,XS) , Marked_U344(isLNatKind(activate(XS)),
                                  activate(N),activate(XS))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U341(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U341(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U342(tt,N,XS) , Marked_activate(XS)>
  <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U342(tt,N,XS) , Marked_activate(N)>
  <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U342(tt,N,XS) , Marked_activate(XS)>
  <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U342(tt,N,XS) , Marked_isLNat(activate(XS))>
  <Marked_U341(tt,N,XS) , Marked_U342(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U342(tt,N,XS) , Marked_U343(isLNat(activate(XS)),activate(N),
                                  activate(XS))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U34(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U334(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U333(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U333(tt,XS) , Marked_U334(isLNatKind(activate(XS)),activate(XS))> 
     --> <Marked_U334(tt,XS) , Marked_activate(XS)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U332(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))> 
     --> <Marked_U333(tt,XS) , Marked_activate(XS)>
  <Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))> 
     --> <Marked_U333(tt,XS) , Marked_activate(XS)>
  <Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))> 
     --> <Marked_U333(tt,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))> 
     --> <Marked_U333(tt,XS) , Marked_U334(isLNatKind(activate(XS)),
                                activate(XS))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U331(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U331(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),activate(XS))> 
     --> <Marked_U332(tt,XS) , Marked_activate(XS)>
  <Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),activate(XS))> 
     --> <Marked_U332(tt,XS) , Marked_activate(XS)>
  <Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),activate(XS))> 
     --> <Marked_U332(tt,XS) , Marked_isLNat(activate(XS))>
  <Marked_U331(tt,N,XS) , Marked_U332(isNaturalKind(activate(N)),activate(XS))> 
     --> <Marked_U332(tt,XS) , Marked_U333(isLNat(activate(XS)),activate(XS))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U33(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U33(tt,N,XS) , Marked_U34(isLNatKind(activate(XS)),activate(N))> 
     --> <Marked_U34(tt,N) , Marked_activate(N)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U326(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_activate(XS)>
  <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_isNatural(N)>
  <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(s(N),cons(X,XS)) , Marked_U321(isNatural(N),
                                             N,X,activate(XS))>
  <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(0,XS) , Marked_isLNat(XS)>
  <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))> 
     --> <Marked_splitAt(0,XS) , Marked_U311(isLNat(XS),XS)>
  <Marked_U326(tt,N,X,XS) , Marked_U327(splitAt(activate(N),activate(XS)),
                             activate(X))> 
     --> <Marked_U327(pair(YS,ZS),X) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U326(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U326(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U326(tt,N,X,XS) , Marked_activate(N)>
  <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U326(tt,N,X,XS) , Marked_splitAt(activate(N),activate(XS))>
  <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U326(tt,N,X,XS) , Marked_U327(splitAt(activate(N),
                                                activate(XS)),activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_activate(N)>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U325(tt,N,X,XS) , Marked_U326(isLNatKind(activate(XS)),
                                    activate(N),activate(X),activate(XS))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_activate(N)>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_isLNat(activate(XS))>
  <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U324(tt,N,X,XS) , Marked_U325(isLNat(activate(XS)),
                                    activate(N),activate(X),activate(XS))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_activate(N)>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_isNaturalKind(activate(X))>
  <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U323(tt,N,X,XS) , Marked_U324(isNaturalKind(activate(X)),
                                    activate(N),activate(X),activate(XS))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U321(tt,N,X,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_activate(XS)>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_activate(N)>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_activate(X)>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_isNatural(activate(X))>
  <Marked_U321(tt,N,X,XS) , Marked_U322(isNaturalKind(activate(N)),activate(N),
                             activate(X),activate(XS))> 
     --> <Marked_U322(tt,N,X,XS) , Marked_U323(isNatural(activate(X)),
                                    activate(N),activate(X),activate(XS))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U32(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                          activate(XS))> 
     --> <Marked_U33(tt,N,XS) , Marked_activate(N)>
  <Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                          activate(XS))> 
     --> <Marked_U33(tt,N,XS) , Marked_activate(XS)>
  <Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                          activate(XS))> 
     --> <Marked_U33(tt,N,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                          activate(XS))> 
     --> <Marked_U33(tt,N,XS) , Marked_U34(isLNatKind(activate(XS)),
                                 activate(N))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U312(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U311(tt,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U311(tt,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U311(tt,XS) , Marked_U312(isLNatKind(activate(XS)),activate(XS))> 
     --> <Marked_U312(tt,XS) , Marked_activate(XS)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U31(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U31(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                          activate(XS))> 
     --> <Marked_U32(tt,N,XS) , Marked_activate(XS)>
  <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                          activate(XS))> 
     --> <Marked_U32(tt,N,XS) , Marked_activate(N)>
  <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                          activate(XS))> 
     --> <Marked_U32(tt,N,XS) , Marked_activate(XS)>
  <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                          activate(XS))> 
     --> <Marked_U32(tt,N,XS) , Marked_isLNat(activate(XS))>
  <Marked_U31(tt,N,XS) , Marked_U32(isNaturalKind(activate(N)),activate(N),
                          activate(XS))> 
     --> <Marked_U32(tt,N,XS) , Marked_U33(isLNat(activate(XS)),activate(N),
                                 activate(XS))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U304(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U303(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U303(tt,Y) , Marked_U304(isLNatKind(activate(Y)),activate(Y))> 
     --> <Marked_U304(tt,Y) , Marked_activate(Y)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U302(tt,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))> 
     --> <Marked_U303(tt,Y) , Marked_activate(Y)>
  <Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))> 
     --> <Marked_U303(tt,Y) , Marked_activate(Y)>
  <Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))> 
     --> <Marked_U303(tt,Y) , Marked_isLNatKind(activate(Y))>
  <Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))> 
     --> <Marked_U303(tt,Y) , Marked_U304(isLNatKind(activate(Y)),activate(Y))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U301(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U301(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),activate(Y))> 
     --> <Marked_U302(tt,Y) , Marked_activate(Y)>
  <Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),activate(Y))> 
     --> <Marked_U302(tt,Y) , Marked_activate(Y)>
  <Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),activate(Y))> 
     --> <Marked_U302(tt,Y) , Marked_isLNat(activate(Y))>
  <Marked_U301(tt,X,Y) , Marked_U302(isLNatKind(activate(X)),activate(Y))> 
     --> <Marked_U302(tt,Y) , Marked_U303(isLNat(activate(Y)),activate(Y))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U294(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U294(tt,N,XS) , Marked_afterNth(activate(N),activate(XS))> 
     --> <Marked_afterNth(N,XS) , Marked_isNatural(N)>
  <Marked_U294(tt,N,XS) , Marked_afterNth(activate(N),activate(XS))> 
     --> <Marked_afterNth(N,XS) , Marked_U11(isNatural(N),N,XS)>
  <Marked_U294(tt,N,XS) , Marked_head(afterNth(activate(N),activate(XS)))> 
     --> <Marked_head(cons(N,XS)) , Marked_activate(XS)>
  <Marked_U294(tt,N,XS) , Marked_head(afterNth(activate(N),activate(XS)))> 
     --> <Marked_head(cons(N,XS)) , Marked_isNatural(N)>
  <Marked_U294(tt,N,XS) , Marked_head(afterNth(activate(N),activate(XS)))> 
     --> <Marked_head(cons(N,XS)) , Marked_U31(isNatural(N),N,activate(XS))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U293(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U294(tt,N,XS) , Marked_activate(XS)>
  <Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U294(tt,N,XS) , Marked_activate(N)>
  <Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U294(tt,N,XS) , Marked_afterNth(activate(N),activate(XS))>
  <Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U294(tt,N,XS) , Marked_head(afterNth(activate(N),activate(XS)))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U292(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U293(tt,N,XS) , Marked_activate(XS)>
  <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U293(tt,N,XS) , Marked_activate(N)>
  <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U293(tt,N,XS) , Marked_activate(XS)>
  <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U293(tt,N,XS) , Marked_isLNatKind(activate(XS))>
  <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                           activate(XS))> 
     --> <Marked_U293(tt,N,XS) , Marked_U294(isLNatKind(activate(XS)),
                                  activate(N),activate(XS))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(XS)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U291(tt,N,XS) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U291(tt,N,XS) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U292(tt,N,XS) , Marked_activate(XS)>
  <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U292(tt,N,XS) , Marked_activate(N)>
  <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U292(tt,N,XS) , Marked_activate(XS)>
  <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U292(tt,N,XS) , Marked_isLNat(activate(XS))>
  <Marked_U291(tt,N,XS) , Marked_U292(isNaturalKind(activate(N)),activate(N),
                           activate(XS))> 
     --> <Marked_U292(tt,N,XS) , Marked_U293(isLNat(activate(XS)),activate(N),
                                  activate(XS))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U282(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U281(tt,N) , Marked_activate(N)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U281(tt,N) , Marked_isNaturalKind(activate(N))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U281(tt,N) , Marked_U282(isNaturalKind(activate(N)),activate(N))> 
     --> <Marked_U282(tt,N) , Marked_activate(N)>
  <Marked_U281(tt,N) , Marked_U282(isNaturalKind(activate(N)),activate(N))> 
     --> <Marked_U282(tt,N) , Marked_activate(N)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U271(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U271(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U261(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U261(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U255(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U254(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__sel(V1,V2)) , Marked_U201(isNaturalKind(
                                                         activate(V1)),
                                             activate(V1),activate(V2))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__s(V1)) , Marked_U191(isNaturalKind(activate(V1)),
                                        activate(V1))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_activate(V1)>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))> 
     --> <Marked_isNatural(n__head(V1)) , Marked_U181(isLNatKind(activate(V1)),
                                           activate(V1))>
  <Marked_U254(tt,V1,V2) , Marked_U255(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U255(tt,V2) , Marked_activate(V2)>
  <Marked_U254(tt,V1,V2) , Marked_U255(isNatural(activate(V1)),activate(V2))> 
     --> <Marked_U255(tt,V2) , Marked_isLNat(activate(V2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U253(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U254(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U254(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U254(tt,V1,V2) , Marked_isNatural(activate(V1))>
  <Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U254(tt,V1,V2) , Marked_U255(isNatural(activate(V1)),
                                   activate(V2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U252(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U253(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U253(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U253(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U253(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U253(tt,V1,V2) , Marked_U254(isLNatKind(activate(V2)),
                                   activate(V1),activate(V2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U251(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V2)>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_activate(V1)>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_isNaturalKind(
                                                 activate(V1))>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__sel(V1,V2)) , Marked_U231(isNaturalKind(
                                                             activate(
                                                              V1)),
                                                 activate(V2))>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_activate(V1)>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__s(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_activate(V1)>
  <Marked_U251(tt,V1,V2) , Marked_isNaturalKind(activate(V1))> 
     --> <Marked_isNaturalKind(n__head(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                            activate(V1),activate(V2))> 
     --> <Marked_U252(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                            activate(V1),activate(V2))> 
     --> <Marked_U252(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                            activate(V1),activate(V2))> 
     --> <Marked_U252(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                            activate(V1),activate(V2))> 
     --> <Marked_U252(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U251(tt,V1,V2) , Marked_U252(isNaturalKind(activate(V1)),
                            activate(V1),activate(V2))> 
     --> <Marked_U252(tt,V1,V2) , Marked_U253(isLNatKind(activate(V2)),
                                   activate(V1),activate(V2))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U245(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U244(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U244(tt,V1,V2) , Marked_U245(isLNat(activate(V1)),activate(V2))> 
     --> <Marked_U245(tt,V2) , Marked_activate(V2)>
  <Marked_U244(tt,V1,V2) , Marked_U245(isLNat(activate(V1)),activate(V2))> 
     --> <Marked_U245(tt,V2) , Marked_isLNat(activate(V2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U243(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U244(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U244(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U244(tt,V1,V2) , Marked_isLNat(activate(V1))>
  <Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U244(tt,V1,V2) , Marked_U245(isLNat(activate(V1)),
                                   activate(V2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U242(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U243(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U243(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U243(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U243(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),activate(V1),
                            activate(V2))> 
     --> <Marked_U243(tt,V1,V2) , Marked_U244(isLNatKind(activate(V2)),
                                   activate(V1),activate(V2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U241(tt,V1,V2) , Marked_activate(V1)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U241(tt,V1,V2) , Marked_isLNatKind(activate(V1))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                            activate(V2))> 
     --> <Marked_U242(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                            activate(V2))> 
     --> <Marked_U242(tt,V1,V2) , Marked_activate(V1)>
  <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                            activate(V2))> 
     --> <Marked_U242(tt,V1,V2) , Marked_activate(V2)>
  <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                            activate(V2))> 
     --> <Marked_U242(tt,V1,V2) , Marked_isLNatKind(activate(V2))>
  <Marked_U241(tt,V1,V2) , Marked_U242(isLNatKind(activate(V1)),activate(V1),
                            activate(V2))> 
     --> <Marked_U242(tt,V1,V2) , Marked_U243(isLNatKind(activate(V2)),
                                   activate(V1),activate(V2))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U24(tt,X) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U231(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U231(tt,V2) , Marked_isLNatKind(activate(V2))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U23(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U23(tt,X,Y) , Marked_U24(isLNatKind(activate(Y)),activate(X))> 
     --> <Marked_U24(tt,X) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),activate(Y))> 
     --> <Marked_U23(tt,X,Y) , Marked_activate(X)>
  <Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),activate(Y))> 
     --> <Marked_U23(tt,X,Y) , Marked_activate(Y)>
  <Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),activate(Y))> 
     --> <Marked_U23(tt,X,Y) , Marked_isLNatKind(activate(Y))>
  <Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),activate(Y))> 
     --> <Marked_U23(tt,X,Y) , Marked_U24(isLNatKind(activate(Y)),activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(Y)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_activate(X)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__take(V1,V2)) , Marked_U171(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__natsFrom(V1)) , Marked_isNaturalKind(activate(
                                                                    V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__cons(V1,V2)) , Marked_U121(isNaturalKind(
                                                           activate(V1)),
                                               activate(V2))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_isNaturalKind(
                                                   activate(V1))>
  <Marked_U21(tt,X,Y) , Marked_isLNatKind(activate(X))> 
     --> <Marked_isLNatKind(n__afterNth(V1,V2)) , Marked_U111(isNaturalKind(
                                                               activate(
                                                                V1)),
                                                   activate(V2))>
  <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                         activate(Y))> 
     --> <Marked_U22(tt,X,Y) , Marked_activate(Y)>
  <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                         activate(Y))> 
     --> <Marked_U22(tt,X,Y) , Marked_activate(X)>
  <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                         activate(Y))> 
     --> <Marked_U22(tt,X,Y) , Marked_activate(Y)>
  <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                         activate(Y))> 
     --> <Marked_U22(tt,X,Y) , Marked_isLNat(activate(Y))>
  <Marked_U21(tt,X,Y) , Marked_U22(isLNatKind(activate(X)),activate(X),
                         activate(Y))> 
     --> <Marked_U22(tt,X,Y) , Marked_U23(isLNat(activate(Y)),activate(X),
                                activate(Y))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X2)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pair(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X2)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__sel(X1,X2)) , Marked_sel(activate(X1),
                                            activate(X2))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__head(X)) , Marked_head(activate(X))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X2)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(activate(X1),
                                             activate(X2))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__tail(X)) , Marked_tail(activate(X))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__snd(X)) , Marked_snd(activate(X))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__fst(X)) , Marked_fst(activate(X))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__cons(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X2)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_activate(X1)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__afterNth(X1,X2)) , Marked_afterNth(activate(X1),
                                                 activate(X2))>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__s(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_activate(X)>
  <Marked_U205(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__natsFrom(X)) , Marked_natsFrom(activate(X))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__take(V1,V2)) , Marked_U101(isNaturalKind(activate(
                                                                    V1)),
                                           activate(V1),activate(V2))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_isLNatKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__tail(V1)) , Marked_U91(isLNatKind(activate(V1)),
                                        activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__snd(V1)) , Marked_U81(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__natsFrom(V1)) , Marked_U71(isNaturalKind(activate(
                                                                    V1)),
                                            activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_isPLNatKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__fst(V1)) , Marked_U61(isPLNatKind(activate(V1)),
                                       activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__cons(V1,V2)) , Marked_U51(isNaturalKind(activate(V1)),
                                           activate(V1),activate(V2))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V2)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_activate(V1)>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_isNaturalKind(activate(V1))>
  <Marked_U205(tt,V2) , Marked_isLNat(activate(V2))> 
     --> <Marked_isLNat(n__afterNth(V1,V2)) , Marked_U41(isNaturalKind(
                                                          activate(V1)),
                                               activate(V1),activate(V2))>
  <Marked_U204(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X2)>
  <Marked_U204(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_activate(X1)>
  <Marked_U204(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__splitAt(X1,X2)) , Marked_splitAt(activate(X1),
                                                activate(X2))>
  <Marked_U204(tt,V1,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__pa