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

TRS termination of:
[1] active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
[2] active(__(X,nil)) -> mark(X)
[3] active(__(nil,X)) -> mark(X)
[4] active(U11(tt,V)) -> mark(U12(isNeList(V)))
[5] active(U12(tt)) -> mark(tt)
[6] active(U21(tt,V1,V2)) -> mark(U22(isList(V1),V2))
[7] active(U22(tt,V2)) -> mark(U23(isList(V2)))
[8] active(U23(tt)) -> mark(tt)
[9] active(U31(tt,V)) -> mark(U32(isQid(V)))
[10] active(U32(tt)) -> mark(tt)
[11] active(U41(tt,V1,V2)) -> mark(U42(isList(V1),V2))
[12] active(U42(tt,V2)) -> mark(U43(isNeList(V2)))
[13] active(U43(tt)) -> mark(tt)
[14] active(U51(tt,V1,V2)) -> mark(U52(isNeList(V1),V2))
[15] active(U52(tt,V2)) -> mark(U53(isList(V2)))
[16] active(U53(tt)) -> mark(tt)
[17] active(U61(tt,V)) -> mark(U62(isQid(V)))
[18] active(U62(tt)) -> mark(tt)
[19] active(U71(tt,V)) -> mark(U72(isNePal(V)))
[20] active(U72(tt)) -> mark(tt)
[21] active(and(tt,X)) -> mark(X)
[22] active(isList(V)) -> mark(U11(isPalListKind(V),V))
[23] active(isList(nil)) -> mark(tt)
[24] active(isList(__(V1,V2))) ->
 mark(U21(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
[25] active(isNeList(V)) -> mark(U31(isPalListKind(V),V))
[26] active(isNeList(__(V1,V2))) ->
 mark(U41(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
[27] active(isNeList(__(V1,V2))) ->
 mark(U51(and(isPalListKind(V1),isPalListKind(V2)),V1,V2))
[28] active(isNePal(V)) -> mark(U61(isPalListKind(V),V))
[29] active(isNePal(__(I,__(P,I)))) ->
 mark(and(and(isQid(I),isPalListKind(I)),and(isPal(P),isPalListKind(P))))
[30] active(isPal(V)) -> mark(U71(isPalListKind(V),V))
[31] active(isPal(nil)) -> mark(tt)
[32] active(isPalListKind(a)) -> mark(tt)
[33] active(isPalListKind(e)) -> mark(tt)
[34] active(isPalListKind(i)) -> mark(tt)
[35] active(isPalListKind(nil)) -> mark(tt)
[36] active(isPalListKind(o)) -> mark(tt)
[37] active(isPalListKind(u)) -> mark(tt)
[38] active(isPalListKind(__(V1,V2))) ->
 mark(and(isPalListKind(V1),isPalListKind(V2)))
[39] active(isQid(a)) -> mark(tt)
[40] active(isQid(e)) -> mark(tt)
[41] active(isQid(i)) -> mark(tt)
[42] active(isQid(o)) -> mark(tt)
[43] active(isQid(u)) -> mark(tt)
[44] active(__(X1,X2)) -> __(active(X1),X2)
[45] active(__(X1,X2)) -> __(X1,active(X2))
[46] active(U11(X1,X2)) -> U11(active(X1),X2)
[47] active(U12(X)) -> U12(active(X))
[48] active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
[49] active(U22(X1,X2)) -> U22(active(X1),X2)
[50] active(U23(X)) -> U23(active(X))
[51] active(U31(X1,X2)) -> U31(active(X1),X2)
[52] active(U32(X)) -> U32(active(X))
[53] active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
[54] active(U42(X1,X2)) -> U42(active(X1),X2)
[55] active(U43(X)) -> U43(active(X))
[56] active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
[57] active(U52(X1,X2)) -> U52(active(X1),X2)
[58] active(U53(X)) -> U53(active(X))
[59] active(U61(X1,X2)) -> U61(active(X1),X2)
[60] active(U62(X)) -> U62(active(X))
[61] active(U71(X1,X2)) -> U71(active(X1),X2)
[62] active(U72(X)) -> U72(active(X))
[63] active(and(X1,X2)) -> and(active(X1),X2)
[64] __(mark(X1),X2) -> mark(__(X1,X2))
[65] __(X1,mark(X2)) -> mark(__(X1,X2))
[66] U11(mark(X1),X2) -> mark(U11(X1,X2))
[67] U12(mark(X)) -> mark(U12(X))
[68] U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
[69] U22(mark(X1),X2) -> mark(U22(X1,X2))
[70] U23(mark(X)) -> mark(U23(X))
[71] U31(mark(X1),X2) -> mark(U31(X1,X2))
[72] U32(mark(X)) -> mark(U32(X))
[73] U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
[74] U42(mark(X1),X2) -> mark(U42(X1,X2))
[75] U43(mark(X)) -> mark(U43(X))
[76] U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
[77] U52(mark(X1),X2) -> mark(U52(X1,X2))
[78] U53(mark(X)) -> mark(U53(X))
[79] U61(mark(X1),X2) -> mark(U61(X1,X2))
[80] U62(mark(X)) -> mark(U62(X))
[81] U71(mark(X1),X2) -> mark(U71(X1,X2))
[82] U72(mark(X)) -> mark(U72(X))
[83] and(mark(X1),X2) -> mark(and(X1,X2))
[84] proper(__(X1,X2)) -> __(proper(X1),proper(X2))
[85] proper(nil) -> ok(nil)
[86] proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
[87] proper(tt) -> ok(tt)
[88] proper(U12(X)) -> U12(proper(X))
[89] proper(isNeList(X)) -> isNeList(proper(X))
[90] proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
[91] proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
[92] proper(isList(X)) -> isList(proper(X))
[93] proper(U23(X)) -> U23(proper(X))
[94] proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
[95] proper(U32(X)) -> U32(proper(X))
[96] proper(isQid(X)) -> isQid(proper(X))
[97] proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
[98] proper(U42(X1,X2)) -> U42(proper(X1),proper(X2))
[99] proper(U43(X)) -> U43(proper(X))
[100] proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
[101] proper(U52(X1,X2)) -> U52(proper(X1),proper(X2))
[102] proper(U53(X)) -> U53(proper(X))
[103] proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
[104] proper(U62(X)) -> U62(proper(X))
[105] proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
[106] proper(U72(X)) -> U72(proper(X))
[107] proper(isNePal(X)) -> isNePal(proper(X))
[108] proper(and(X1,X2)) -> and(proper(X1),proper(X2))
[109] proper(isPalListKind(X)) -> isPalListKind(proper(X))
[110] proper(isPal(X)) -> isPal(proper(X))
[111] proper(a) -> ok(a)
[112] proper(e) -> ok(e)
[113] proper(i) -> ok(i)
[114] proper(o) -> ok(o)
[115] proper(u) -> ok(u)
[116] __(ok(X1),ok(X2)) -> ok(__(X1,X2))
[117] U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
[118] U12(ok(X)) -> ok(U12(X))
[119] isNeList(ok(X)) -> ok(isNeList(X))
[120] U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3))
[121] U22(ok(X1),ok(X2)) -> ok(U22(X1,X2))
[122] isList(ok(X)) -> ok(isList(X))
[123] U23(ok(X)) -> ok(U23(X))
[124] U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
[125] U32(ok(X)) -> ok(U32(X))
[126] isQid(ok(X)) -> ok(isQid(X))
[127] U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
[128] U42(ok(X1),ok(X2)) -> ok(U42(X1,X2))
[129] U43(ok(X)) -> ok(U43(X))
[130] U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
[131] U52(ok(X1),ok(X2)) -> ok(U52(X1,X2))
[132] U53(ok(X)) -> ok(U53(X))
[133] U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
[134] U62(ok(X)) -> ok(U62(X))
[135] U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
[136] U72(ok(X)) -> ok(U72(X))
[137] isNePal(ok(X)) -> ok(isNePal(X))
[138] and(ok(X1),ok(X2)) -> ok(and(X1,X2))
[139] isPalListKind(ok(X)) -> ok(isPalListKind(X))
[140] isPal(ok(X)) -> ok(isPal(X))
[141] top(mark(X)) -> top(proper(X))
[142] top(ok(X)) -> top(active(X))


Sub problem: 
guided: 

DP termination of:
<Marked_active(__(__(X,Y),Z)) , Marked___(X,__(Y,Z))>
<Marked_active(__(__(X,Y),Z)) , Marked___(Y,Z)>
<Marked_active(U11(tt,V)) , Marked_U12(isNeList(V))>
<Marked_active(U11(tt,V)) , Marked_isNeList(V)>
<Marked_active(U21(tt,V1,V2)) , Marked_U22(isList(V1),V2)>
<Marked_active(U21(tt,V1,V2)) , Marked_isList(V1)>
<Marked_active(U22(tt,V2)) , Marked_U23(isList(V2))>
<Marked_active(U22(tt,V2)) , Marked_isList(V2)>
<Marked_active(U31(tt,V)) , Marked_U32(isQid(V))>
<Marked_active(U31(tt,V)) , Marked_isQid(V)>
<Marked_active(U41(tt,V1,V2)) , Marked_U42(isList(V1),V2)>
<Marked_active(U41(tt,V1,V2)) , Marked_isList(V1)>
<Marked_active(U42(tt,V2)) , Marked_U43(isNeList(V2))>
<Marked_active(U42(tt,V2)) , Marked_isNeList(V2)>
<Marked_active(U51(tt,V1,V2)) , Marked_U52(isNeList(V1),V2)>
<Marked_active(U51(tt,V1,V2)) , Marked_isNeList(V1)>
<Marked_active(U52(tt,V2)) , Marked_U53(isList(V2))>
<Marked_active(U52(tt,V2)) , Marked_isList(V2)>
<Marked_active(U61(tt,V)) , Marked_U62(isQid(V))>
<Marked_active(U61(tt,V)) , Marked_isQid(V)>
<Marked_active(U71(tt,V)) , Marked_U72(isNePal(V))>
<Marked_active(U71(tt,V)) , Marked_isNePal(V)>
<Marked_active(isList(V)) , Marked_U11(isPalListKind(V),V)>
<Marked_active(isList(V)) , Marked_isPalListKind(V)>
<Marked_active(isList(__(V1,V2))) , Marked_U21(and(isPalListKind(V1),
                                                isPalListKind(V2)),V1,
                                     V2)>
<Marked_active(isList(__(V1,V2))) , Marked_and(isPalListKind(V1),
                                     isPalListKind(V2))>
<Marked_active(isList(__(V1,V2))) , Marked_isPalListKind(V1)>
<Marked_active(isList(__(V1,V2))) , Marked_isPalListKind(V2)>
<Marked_active(isNeList(V)) , Marked_U31(isPalListKind(V),V)>
<Marked_active(isNeList(V)) , Marked_isPalListKind(V)>
<Marked_active(isNeList(__(V1,V2))) , Marked_U41(and(isPalListKind(V1),
                                                  isPalListKind(V2)),
                                       V1,V2)>
<Marked_active(isNeList(__(V1,V2))) , Marked_and(isPalListKind(V1),
                                       isPalListKind(V2))>
<Marked_active(isNeList(__(V1,V2))) , Marked_isPalListKind(V1)>
<Marked_active(isNeList(__(V1,V2))) , Marked_isPalListKind(V2)>
<Marked_active(isNeList(__(V1,V2))) , Marked_U51(and(isPalListKind(V1),
                                                  isPalListKind(V2)),
                                       V1,V2)>
<Marked_active(isNeList(__(V1,V2))) , Marked_and(isPalListKind(V1),
                                       isPalListKind(V2))>
<Marked_active(isNeList(__(V1,V2))) , Marked_isPalListKind(V1)>
<Marked_active(isNeList(__(V1,V2))) , Marked_isPalListKind(V2)>
<Marked_active(isNePal(V)) , Marked_U61(isPalListKind(V),V)>
<Marked_active(isNePal(V)) , Marked_isPalListKind(V)>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_and(and(isQid(I),
                                                     isPalListKind(I)),
                                          and(isPal(P),isPalListKind(P)))>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_and(isQid(I),isPalListKind(I))>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_isQid(I)>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_isPalListKind(I)>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_and(isPal(P),isPalListKind(P))>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_isPal(P)>
<Marked_active(isNePal(__(I,__(P,I)))) , Marked_isPalListKind(P)>
<Marked_active(isPal(V)) , Marked_U71(isPalListKind(V),V)>
<Marked_active(isPal(V)) , Marked_isPalListKind(V)>
<Marked_active(isPalListKind(__(V1,V2))) , Marked_and(isPalListKind(V1),
                                            isPalListKind(V2))>
<Marked_active(isPalListKind(__(V1,V2))) , Marked_isPalListKind(V1)>
<Marked_active(isPalListKind(__(V1,V2))) , Marked_isPalListKind(V2)>
<Marked_active(__(X1,X2)) , Marked___(active(X1),X2)>
<Marked_active(__(X1,X2)) , Marked_active(X1)>
<Marked_active(__(X1,X2)) , Marked___(X1,active(X2))>
<Marked_active(__(X1,X2)) , Marked_active(X2)>
<Marked_active(U11(X1,X2)) , Marked_U11(active(X1),X2)>
<Marked_active(U11(X1,X2)) , Marked_active(X1)>
<Marked_active(U12(X)) , Marked_U12(active(X))>
<Marked_active(U12(X)) , Marked_active(X)>
<Marked_active(U21(X1,X2,X3)) , Marked_U21(active(X1),X2,X3)>
<Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U22(X1,X2)) , Marked_U22(active(X1),X2)>
<Marked_active(U22(X1,X2)) , Marked_active(X1)>
<Marked_active(U23(X)) , Marked_U23(active(X))>
<Marked_active(U23(X)) , Marked_active(X)>
<Marked_active(U31(X1,X2)) , Marked_U31(active(X1),X2)>
<Marked_active(U31(X1,X2)) , Marked_active(X1)>
<Marked_active(U32(X)) , Marked_U32(active(X))>
<Marked_active(U32(X)) , Marked_active(X)>
<Marked_active(U41(X1,X2,X3)) , Marked_U41(active(X1),X2,X3)>
<Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U42(X1,X2)) , Marked_U42(active(X1),X2)>
<Marked_active(U42(X1,X2)) , Marked_active(X1)>
<Marked_active(U43(X)) , Marked_U43(active(X))>
<Marked_active(U43(X)) , Marked_active(X)>
<Marked_active(U51(X1,X2,X3)) , Marked_U51(active(X1),X2,X3)>
<Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U52(X1,X2)) , Marked_U52(active(X1),X2)>
<Marked_active(U52(X1,X2)) , Marked_active(X1)>
<Marked_active(U53(X)) , Marked_U53(active(X))>
<Marked_active(U53(X)) , Marked_active(X)>
<Marked_active(U61(X1,X2)) , Marked_U61(active(X1),X2)>
<Marked_active(U61(X1,X2)) , Marked_active(X1)>
<Marked_active(U62(X)) , Marked_U62(active(X))>
<Marked_active(U62(X)) , Marked_active(X)>
<Marked_active(U71(X1,X2)) , Marked_U71(active(X1),X2)>
<Marked_active(U71(X1,X2)) , Marked_active(X1)>
<Marked_active(U72(X)) , Marked_U72(active(X))>
<Marked_active(U72(X)) , Marked_active(X)>
<Marked_active(and(X1,X2)) , Marked_and(active(X1),X2)>
<Marked_active(and(X1,X2)) , Marked_active(X1)>
<Marked___(mark(X1),X2) , Marked___(X1,X2)>
<Marked___(X1,mark(X2)) , Marked___(X1,X2)>
<Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
<Marked_U12(mark(X)) , Marked_U12(X)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
<Marked_U23(mark(X)) , Marked_U23(X)>
<Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
<Marked_U32(mark(X)) , Marked_U32(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2) , Marked_U42(X1,X2)>
<Marked_U43(mark(X)) , Marked_U43(X)>
<Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)>
<Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
<Marked_U53(mark(X)) , Marked_U53(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U62(mark(X)) , Marked_U62(X)>
<Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
<Marked_U72(mark(X)) , Marked_U72(X)>
<Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_proper(__(X1,X2)) , Marked___(proper(X1),proper(X2))>
<Marked_proper(__(X1,X2)) , Marked_proper(X1)>
<Marked_proper(__(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U11(X1,X2)) , Marked_U11(proper(X1),proper(X2))>
<Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U12(X)) , Marked_U12(proper(X))>
<Marked_proper(U12(X)) , Marked_proper(X)>
<Marked_proper(isNeList(X)) , Marked_isNeList(proper(X))>
<Marked_proper(isNeList(X)) , Marked_proper(X)>
<Marked_proper(U21(X1,X2,X3)) , Marked_U21(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U22(X1,X2)) , Marked_U22(proper(X1),proper(X2))>
<Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isList(X)) , Marked_isList(proper(X))>
<Marked_proper(isList(X)) , Marked_proper(X)>
<Marked_proper(U23(X)) , Marked_U23(proper(X))>
<Marked_proper(U23(X)) , Marked_proper(X)>
<Marked_proper(U31(X1,X2)) , Marked_U31(proper(X1),proper(X2))>
<Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U32(X)) , Marked_U32(proper(X))>
<Marked_proper(U32(X)) , Marked_proper(X)>
<Marked_proper(isQid(X)) , Marked_isQid(proper(X))>
<Marked_proper(isQid(X)) , Marked_proper(X)>
<Marked_proper(U41(X1,X2,X3)) , Marked_U41(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U42(X1,X2)) , Marked_U42(proper(X1),proper(X2))>
<Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U43(X)) , Marked_U43(proper(X))>
<Marked_proper(U43(X)) , Marked_proper(X)>
<Marked_proper(U51(X1,X2,X3)) , Marked_U51(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U52(X1,X2)) , Marked_U52(proper(X1),proper(X2))>
<Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U53(X)) , Marked_U53(proper(X))>
<Marked_proper(U53(X)) , Marked_proper(X)>
<Marked_proper(U61(X1,X2)) , Marked_U61(proper(X1),proper(X2))>
<Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U62(X)) , Marked_U62(proper(X))>
<Marked_proper(U62(X)) , Marked_proper(X)>
<Marked_proper(U71(X1,X2)) , Marked_U71(proper(X1),proper(X2))>
<Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U72(X)) , Marked_U72(proper(X))>
<Marked_proper(U72(X)) , Marked_proper(X)>
<Marked_proper(isNePal(X)) , Marked_isNePal(proper(X))>
<Marked_proper(isNePal(X)) , Marked_proper(X)>
<Marked_proper(and(X1,X2)) , Marked_and(proper(X1),proper(X2))>
<Marked_proper(and(X1,X2)) , Marked_proper(X1)>
<Marked_proper(and(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isPalListKind(X)) , Marked_isPalListKind(proper(X))>
<Marked_proper(isPalListKind(X)) , Marked_proper(X)>
<Marked_proper(isPal(X)) , Marked_isPal(proper(X))>
<Marked_proper(isPal(X)) , Marked_proper(X)>
<Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)>
<Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
<Marked_U12(ok(X)) , Marked_U12(X)>
<Marked_isNeList(ok(X)) , Marked_isNeList(X)>
<Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
<Marked_isList(ok(X)) , Marked_isList(X)>
<Marked_U23(ok(X)) , Marked_U23(X)>
<Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
<Marked_U32(ok(X)) , Marked_U32(X)>
<Marked_isQid(ok(X)) , Marked_isQid(X)>
<Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(ok(X1),ok(X2)) , Marked_U42(X1,X2)>
<Marked_U43(ok(X)) , Marked_U43(X)>
<Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)>
<Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
<Marked_U53(ok(X)) , Marked_U53(X)>
<Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
<Marked_U62(ok(X)) , Marked_U62(X)>
<Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
<Marked_U72(ok(X)) , Marked_U72(X)>
<Marked_isNePal(ok(X)) , Marked_isNePal(X)>
<Marked_and(ok(X1),ok(X2)) , Marked_and(X1,X2)>
<Marked_isPalListKind(ok(X)) , Marked_isPalListKind(X)>
<Marked_isPal(ok(X)) , Marked_isPal(X)>
<Marked_top(mark(X)) , Marked_top(proper(X))>
<Marked_top(mark(X)) , Marked_proper(X)>
<Marked_top(ok(X)) , Marked_top(active(X))>
<Marked_top(ok(X)) , Marked_active(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 28 components:

{  <Marked_top(ok(X)) , Marked_top(active(X))> 
      --> <Marked_top(ok(X)) , Marked_top(active(X))>
  <Marked_top(ok(X)) , Marked_top(active(X))> 
     --> <Marked_top(mark(X)) , Marked_top(proper(X))>
  <Marked_top(mark(X)) , Marked_top(proper(X))> 
     --> <Marked_top(ok(X)) , Marked_top(active(X))>
  <Marked_top(mark(X)) , Marked_top(proper(X))> 
     --> <Marked_top(mark(X)) , Marked_top(proper(X))>
}

{  <Marked_proper(isPal(X)) , Marked_proper(X)> 
      --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPal(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPalListKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(and(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNePal(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isQid(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isList(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U22(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isNeList(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U12(X)) , Marked_proper(X)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U11(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPal(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPalListKind(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(and(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNePal(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isQid(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isList(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNeList(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X)) , Marked_proper(X)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(__(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(__(X1,X2)) , Marked_proper(X1)>
}

{  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
      --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(and(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U72(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U71(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U62(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U61(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U53(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U52(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U43(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U42(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U32(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U31(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U23(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U22(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U12(X)) , Marked_active(X)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(U11(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(__(X1,X2)) , Marked_active(X2)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(and(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U72(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U71(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U62(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U61(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U53(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U52(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U43(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U42(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U32(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U31(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U23(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U22(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U12(X)) , Marked_active(X)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(U11(X1,X2)) , Marked_active(X1)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X2)>
  <Marked_active(__(X1,X2)) , Marked_active(X1)> 
     --> <Marked_active(__(X1,X2)) , Marked_active(X1)>
}

{  <Marked_isNeList(ok(X)) , Marked_isNeList(X)> 
      --> <Marked_isNeList(ok(X)) , Marked_isNeList(X)>
}

{  <Marked_isList(ok(X)) , Marked_isList(X)> 
      --> <Marked_isList(ok(X)) , Marked_isList(X)>
}

{  <Marked_isNePal(ok(X)) , Marked_isNePal(X)> 
      --> <Marked_isNePal(ok(X)) , Marked_isNePal(X)>
}

{  <Marked_isQid(ok(X)) , Marked_isQid(X)> 
      --> <Marked_isQid(ok(X)) , Marked_isQid(X)>
}

{  <Marked_isPal(ok(X)) , Marked_isPal(X)> 
      --> <Marked_isPal(ok(X)) , Marked_isPal(X)>
}

{  <Marked_isPalListKind(ok(X)) , Marked_isPalListKind(X)> 
      --> <Marked_isPalListKind(ok(X)) , Marked_isPalListKind(X)>
}

{  <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)> 
      --> <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)>
  <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)> 
     --> <Marked___(X1,mark(X2)) , Marked___(X1,X2)>
  <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)> 
     --> <Marked___(mark(X1),X2) , Marked___(X1,X2)>
  <Marked___(X1,mark(X2)) , Marked___(X1,X2)> 
     --> <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)>
  <Marked___(X1,mark(X2)) , Marked___(X1,X2)> 
     --> <Marked___(X1,mark(X2)) , Marked___(X1,X2)>
  <Marked___(X1,mark(X2)) , Marked___(X1,X2)> 
     --> <Marked___(mark(X1),X2) , Marked___(X1,X2)>
  <Marked___(mark(X1),X2) , Marked___(X1,X2)> 
     --> <Marked___(ok(X1),ok(X2)) , Marked___(X1,X2)>
  <Marked___(mark(X1),X2) , Marked___(X1,X2)> 
     --> <Marked___(X1,mark(X2)) , Marked___(X1,X2)>
  <Marked___(mark(X1),X2) , Marked___(X1,X2)> 
     --> <Marked___(mark(X1),X2) , Marked___(X1,X2)>
}

{  <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)> 
      --> <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
  <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)> 
     --> <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
  <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)> 
     --> <Marked_U11(ok(X1),ok(X2)) , Marked_U11(X1,X2)>
  <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)> 
     --> <Marked_U11(mark(X1),X2) , Marked_U11(X1,X2)>
}

{  <Marked_U12(ok(X)) , Marked_U12(X)> --> <Marked_U12(ok(X)) , Marked_U12(X)>
  <Marked_U12(ok(X)) , Marked_U12(X)> --> <Marked_U12(mark(X)) , Marked_U12(X)>
  <Marked_U12(mark(X)) , Marked_U12(X)> --> <Marked_U12(ok(X)) , Marked_U12(X)>
  <Marked_U12(mark(X)) , Marked_U12(X)> 
     --> <Marked_U12(mark(X)) , Marked_U12(X)>
}

{  <Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)> 
      --> <Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
}

{  <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)> 
      --> <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
  <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)> 
     --> <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
  <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)> 
     --> <Marked_U22(ok(X1),ok(X2)) , Marked_U22(X1,X2)>
  <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)> 
     --> <Marked_U22(mark(X1),X2) , Marked_U22(X1,X2)>
}

{  <Marked_U23(ok(X)) , Marked_U23(X)> --> <Marked_U23(ok(X)) , Marked_U23(X)>
  <Marked_U23(ok(X)) , Marked_U23(X)> --> <Marked_U23(mark(X)) , Marked_U23(X)>
  <Marked_U23(mark(X)) , Marked_U23(X)> --> <Marked_U23(ok(X)) , Marked_U23(X)>
  <Marked_U23(mark(X)) , Marked_U23(X)> 
     --> <Marked_U23(mark(X)) , Marked_U23(X)>
}

{  <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)> 
      --> <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
  <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)> 
     --> <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
  <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)> 
     --> <Marked_U31(ok(X1),ok(X2)) , Marked_U31(X1,X2)>
  <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)> 
     --> <Marked_U31(mark(X1),X2) , Marked_U31(X1,X2)>
}

{  <Marked_U32(ok(X)) , Marked_U32(X)> --> <Marked_U32(ok(X)) , Marked_U32(X)>
  <Marked_U32(ok(X)) , Marked_U32(X)> --> <Marked_U32(mark(X)) , Marked_U32(X)>
  <Marked_U32(mark(X)) , Marked_U32(X)> --> <Marked_U32(ok(X)) , Marked_U32(X)>
  <Marked_U32(mark(X)) , Marked_U32(X)> 
     --> <Marked_U32(mark(X)) , Marked_U32(X)>
}

{  <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)> 
      --> <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
  <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
  <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
  <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)> 
     --> <Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
}

{  <Marked_U42(ok(X1),ok(X2)) , Marked_U42(X1,X2)> 
      --> <Marked_U42(ok(X1),ok(X2)) , Marked_U42(X1,X2)>
  <Marked_U42(ok(X1),ok(X2)) , Marked_U42(X1,X2)> 
     --> <Marked_U42(mark(X1),X2) , Marked_U42(X1,X2)>
  <Marked_U42(mark(X1),X2) , Marked_U42(X1,X2)> 
     --> <Marked_U42(ok(X1),ok(X2)) , Marked_U42(X1,X2)>
  <Marked_U42(mark(X1),X2) , Marked_U42(X1,X2)> 
     --> <Marked_U42(mark(X1),X2) , Marked_U42(X1,X2)>
}

{  <Marked_U43(ok(X)) , Marked_U43(X)> --> <Marked_U43(ok(X)) , Marked_U43(X)>
  <Marked_U43(ok(X)) , Marked_U43(X)> --> <Marked_U43(mark(X)) , Marked_U43(X)>
  <Marked_U43(mark(X)) , Marked_U43(X)> --> <Marked_U43(ok(X)) , Marked_U43(X)>
  <Marked_U43(mark(X)) , Marked_U43(X)> 
     --> <Marked_U43(mark(X)) , Marked_U43(X)>
}

{  <Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)> 
      --> <Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)>
  <Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)> 
     --> <Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)>
  <Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)> 
     --> <Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)>
  <Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)> 
     --> <Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)>
}

{  <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)> 
      --> <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
  <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)> 
     --> <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
  <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)> 
     --> <Marked_U52(ok(X1),ok(X2)) , Marked_U52(X1,X2)>
  <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)> 
     --> <Marked_U52(mark(X1),X2) , Marked_U52(X1,X2)>
}

{  <Marked_U53(ok(X)) , Marked_U53(X)> --> <Marked_U53(ok(X)) , Marked_U53(X)>
  <Marked_U53(ok(X)) , Marked_U53(X)> --> <Marked_U53(mark(X)) , Marked_U53(X)>
  <Marked_U53(mark(X)) , Marked_U53(X)> --> <Marked_U53(ok(X)) , Marked_U53(X)>
  <Marked_U53(mark(X)) , Marked_U53(X)> 
     --> <Marked_U53(mark(X)) , Marked_U53(X)>
}

{  <Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)> 
      --> <Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
  <Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)> 
     --> <Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
  <Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)> 
     --> <Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
  <Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)> 
     --> <Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
}

{  <Marked_U62(ok(X)) , Marked_U62(X)> --> <Marked_U62(ok(X)) , Marked_U62(X)>
  <Marked_U62(ok(X)) , Marked_U62(X)> --> <Marked_U62(mark(X)) , Marked_U62(X)>
  <Marked_U62(mark(X)) , Marked_U62(X)> --> <Marked_U62(ok(X)) , Marked_U62(X)>
  <Marked_U62(mark(X)) , Marked_U62(X)> 
     --> <Marked_U62(mark(X)) , Marked_U62(X)>
}

{  <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)> 
      --> <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
  <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)> 
     --> <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
  <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)> 
     --> <Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
  <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)> 
     --> <Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
}

{  <Marked_U72(ok(X)) , Marked_U72(X)> --> <Marked_U72(ok(X)) , Marked_U72(X)>
  <Marked_U72(ok(X)) , Marked_U72(X)> --> <Marked_U72(mark(X)) , Marked_U72(X)>
  <Marked_U72(mark(X)) , Marked_U72(X)> --> <Marked_U72(ok(X)) , Marked_U72(X)>
  <Marked_U72(mark(X)) , Marked_U72(X)> 
     --> <Marked_U72(mark(X)) , Marked_U72(X)>
}

{  <Marked_and(ok(X1),ok(X2)) , Marked_and(X1,X2)> 
      --> <Marked_and(ok(X1),ok(X2)) , Marked_and(X1,X2)>
  <Marked_and(ok(X1),ok(X2)) , Marked_and(X1,X2)> 
     --> <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
  <Marked_and(mark(X1),X2) , Marked_and(X1,X2)> 
     --> <Marked_and(ok(X1),ok(X2)) , Marked_and(X1,X2)>
  <Marked_and(mark(X1),X2) , Marked_and(X1,X2)> 
     --> <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  __(mark(X1),X2) >= mark(__(X1,X2)) ;
  __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ;
  __(X1,mark(X2)) >= mark(__(X1,X2)) ;
  active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ;
  active(__(nil,X)) >= mark(X) ;
  active(__(X,nil)) >= mark(X) ;
  active(__(X1,X2)) >= __(active(X1),X2) ;
  active(__(X1,X2)) >= __(X1,active(X2)) ;
  active(U12(tt)) >= mark(tt) ;
  active(U12(X)) >= U12(active(X)) ;
  active(isNeList(__(V1,V2))) >= mark(U41(and(isPalListKind(V1),
                                           isPalListKind(V2)),V1,V2)) ;
  active(isNeList(__(V1,V2))) >= mark(U51(and(isPalListKind(V1),
                                           isPalListKind(V2)),V1,V2)) ;
  active(isNeList(V)) >= mark(U31(isPalListKind(V),V)) ;
  active(U11(tt,V)) >= mark(U12(isNeList(V))) ;
  active(U11(X1,X2)) >= U11(active(X1),X2) ;
  active(U22(tt,V2)) >= mark(U23(isList(V2))) ;
  active(U22(X1,X2)) >= U22(active(X1),X2) ;
  active(isList(__(V1,V2))) >= mark(U21(and(isPalListKind(V1),
                                         isPalListKind(V2)),V1,V2)) ;
  active(isList(nil)) >= mark(tt) ;
  active(isList(V)) >= mark(U11(isPalListKind(V),V)) ;
  active(U21(tt,V1,V2)) >= mark(U22(isList(V1),V2)) ;
  active(U21(X1,X2,X3)) >= U21(active(X1),X2,X3) ;
  active(U23(tt)) >= mark(tt) ;
  active(U23(X)) >= U23(active(X)) ;
  active(U32(tt)) >= mark(tt) ;
  active(U32(X)) >= U32(active(X)) ;
  active(isQid(a)) >= mark(tt) ;
  active(isQid(e)) >= mark(tt) ;
  active(isQid(i)) >= mark(tt) ;
  active(isQid(o)) >= mark(tt) ;
  active(isQid(u)) >= mark(tt) ;
  active(U31(tt,V)) >= mark(U32(isQid(V))) ;
  active(U31(X1,X2)) >= U31(active(X1),X2) ;
  active(U42(tt,V2)) >= mark(U43(isNeList(V2))) ;
  active(U42(X1,X2)) >= U42(active(X1),X2) ;
  active(U41(tt,V1,V2)) >= mark(U42(isList(V1),V2)) ;
  active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ;
  active(U43(tt)) >= mark(tt) ;
  active(U43(X)) >= U43(active(X)) ;
  active(U52(tt,V2)) >= mark(U53(isList(V2))) ;
  active(U52(X1,X2)) >= U52(active(X1),X2) ;
  active(U51(tt,V1,V2)) >= mark(U52(isNeList(V1),V2)) ;
  active(U51(X1,X2,X3)) >= U51(active(X1),X2,X3) ;
  active(U53(tt)) >= mark(tt) ;
  active(U53(X)) >= U53(active(X)) ;
  active(U62(tt)) >= mark(tt) ;
  active(U62(X)) >= U62(active(X)) ;
  active(U61(tt,V)) >= mark(U62(isQid(V))) ;
  active(U61(X1,X2)) >= U61(active(X1),X2) ;
  active(U72(tt)) >= mark(tt) ;
  active(U72(X)) >= U72(active(X)) ;
  active(isNePal(__(I,__(P,I)))) >= mark(and(and(isQid(I),isPalListKind(I)),
                                          and(isPal(P),isPalListKind(P)))) ;
  active(isNePal(V)) >= mark(U61(isPalListKind(V),V)) ;
  active(U71(tt,V)) >= mark(U72(isNePal(V))) ;
  active(U71(X1,X2)) >= U71(active(X1),X2) ;
  active(and(tt,X)) >= mark(X) ;
  active(and(X1,X2)) >= and(active(X1),X2) ;
  active(isPalListKind(__(V1,V2))) >= mark(and(isPalListKind(V1),
                                            isPalListKind(V2))) ;
  active(isPalListKind(nil)) >= mark(tt) ;
  active(isPalListKind(a)) >= mark(tt) ;
  active(isPalListKind(e)) >= mark(tt) ;
  active(isPalListKind(i)) >= mark(tt) ;
  active(isPalListKind(o)) >= mark(tt) ;
  active(isPalListKind(u)) >= mark(tt) ;
  active(isPal(nil)) >= mark(tt) ;
  active(isPal(V)) >= mark(U71(isPalListKind(V),V)) ;
  U12(mark(X)) >= mark(U12(X)) ;
  U12(ok(X)) >= ok(U12(X)) ;
  isNeList(ok(X)) >= ok(isNeList(X)) ;
  U11(mark(X1),X2) >= mark(U11(X1,X2)) ;
  U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ;
  U22(mark(X1),X2) >= mark(U22(X1,X2)) ;
  U22(ok(X1),ok(X2)) >= ok(U22(X1,X2)) ;
  isList(ok(X)) >= ok(isList(X)) ;
  U21(mark(X1),X2,X3) >= mark(U21(X1,X2,X3)) ;
  U21(ok(X1),ok(X2),ok(X3)) >= ok(U21(X1,X2,X3)) ;
  U23(mark(X)) >= mark(U23(X)) ;
  U23(ok(X)) >= ok(U23(X)) ;
  U32(mark(X)) >= mark(U32(X)) ;
  U32(ok(X)) >= ok(U32(X)) ;
  isQid(ok(X)) >= ok(isQid(X)) ;
  U31(mark(X1),X2) >= mark(U31(X1,X2)) ;
  U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ;
  U42(mark(X1),X2) >= mark(U42(X1,X2)) ;
  U42(ok(X1),ok(X2)) >= ok(U42(X1,X2)) ;
  U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ;
  U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ;
  U43(mark(X)) >= mark(U43(X)) ;
  U43(ok(X)) >= ok(U43(X)) ;
  U52(mark(X1),X2) >= mark(U52(X1,X2)) ;
  U52(ok(X1),ok(X2)) >= ok(U52(X1,X2)) ;
  U51(mark(X1),X2,X3) >= mark(U51(X1,X2,X3)) ;
  U51(ok(X1),ok(X2),ok(X3)) >= ok(U51(X1,X2,X3)) ;
  U53(mark(X)) >= mark(U53(X)) ;
  U53(ok(X)) >= ok(U53(X)) ;
  U62(mark(X)) >= mark(U62(X)) ;
  U62(ok(X)) >= ok(U62(X)) ;
  U61(mark(X1),X2) >= mark(U61(X1,X2)) ;
  U61(ok(X1),ok(X2)) >= ok(U61(X1,X2)) ;
  U72(mark(X)) >= mark(U72(X)) ;
  U72(ok(X)) >= ok(U72(X)) ;
  isNePal(ok(X)) >= ok(isNePal(X)) ;
  U71(mark(X1),X2) >= mark(U71(X1,X2)) ;
  U71(ok(X1),ok(X2)) >= ok(U71(X1,X2)) ;
  and(mark(X1),X2) >= mark(and(X1,X2)) ;
  and(ok(X1),ok(X2)) >= ok(and(X1,X2)) ;
  isPalListKind(ok(X)) >= ok(isPalListKind(X)) ;
  isPal(ok(X)) >= ok(isPal(X)) ;
  proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ;
  proper(nil) >= ok(nil) ;
  proper(U12(X)) >= U12(proper(X)) ;
  proper(isNeList(X)) >= isNeList(proper(X)) ;
  proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ;
  proper(tt) >= ok(tt) ;
  proper(U22(X1,X2)) >= U22(proper(X1),proper(X2)) ;
  proper(isList(X)) >= isList(proper(X)) ;
  proper(U21(X1,X2,X3)) >= U21(proper(X1),proper(X2),proper(X3)) ;
  proper(U23(X)) >= U23(proper(X)) ;
  proper(U32(X)) >= U32(proper(X)) ;
  proper(isQid(X)) >= isQid(proper(X)) ;
  proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ;
  proper(U42(X1,X2)) >= U42(proper(X1),proper(X2)) ;
  proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ;
  proper(U43(X)) >= U43(proper(X)) ;
  proper(U52(X1,X2)) >= U52(proper(X1),proper(X2)) ;
  proper(U51(X1,X2,X3)) >= U51(proper(X1),proper(X2),proper(X3)) ;
  proper(U53(X)) >= U53(proper(X)) ;
  proper(U62(X)) >= U62(proper(X)) ;
  proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ;
  proper(U72(X)) >= U72(proper(X)) ;
  proper(isNePal(X)) >= isNePal(proper(X)) ;
  proper(U71(X1,X2)) >= U71(proper(X1),proper(X2)) ;
  proper(and(X1,X2)) >= and(proper(X1),proper(X2)) ;
  proper(isPalListKind(X)) >= isPalListKind(proper(X)) ;
  proper(isPal(X)) >= isPal(proper(X)) ;
  proper(a) >= ok(a) ;
  proper(e) >= ok(e) ;
  proper(i) >= ok(i) ;
  proper(o) >= ok(o) ;
  proper(u) >= ok(u) ;
  top(mark(X)) >= top(proper(X)) ;
  top(ok(X)) >= top(active(X)) ;
  Marked_top(mark(X)) >= Marked_top(proper(X)) ;
  Marked_top(ok(X)) >= Marked_top(active(X)) ;
 }
 + Disjunctions:{ 
{
  Marked_top(mark(X)) > Marked_top(proper(X)) ;
 }
{
  Marked_top(ok(X)) > Marked_top(active(X)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 85.663635 seconds (real time)
Cime Exit Status: 0