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

TRS termination of:
[1] a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z)))
[2] a____(X,nil) -> mark(X)
[3] a____(nil,X) -> mark(X)
[4] a__U11(tt) -> tt
[5] a__U21(tt,V2) -> a__U22(a__isList(V2))
[6] a__U22(tt) -> tt
[7] a__U31(tt) -> tt
[8] a__U41(tt,V2) -> a__U42(a__isNeList(V2))
[9] a__U42(tt) -> tt
[10] a__U51(tt,V2) -> a__U52(a__isList(V2))
[11] a__U52(tt) -> tt
[12] a__U61(tt) -> tt
[13] a__U71(tt,P) -> a__U72(a__isPal(P))
[14] a__U72(tt) -> tt
[15] a__U81(tt) -> tt
[16] a__isList(V) -> a__U11(a__isNeList(V))
[17] a__isList(nil) -> tt
[18] a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2)
[19] a__isNeList(V) -> a__U31(a__isQid(V))
[20] a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2)
[21] a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2)
[22] a__isNePal(V) -> a__U61(a__isQid(V))
[23] a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P)
[24] a__isPal(V) -> a__U81(a__isNePal(V))
[25] a__isPal(nil) -> tt
[26] a__isQid(a) -> tt
[27] a__isQid(e) -> tt
[28] a__isQid(i) -> tt
[29] a__isQid(o) -> tt
[30] a__isQid(u) -> tt
[31] mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
[32] mark(U11(X)) -> a__U11(mark(X))
[33] mark(U21(X1,X2)) -> a__U21(mark(X1),X2)
[34] mark(U22(X)) -> a__U22(mark(X))
[35] mark(isList(X)) -> a__isList(X)
[36] mark(U31(X)) -> a__U31(mark(X))
[37] mark(U41(X1,X2)) -> a__U41(mark(X1),X2)
[38] mark(U42(X)) -> a__U42(mark(X))
[39] mark(isNeList(X)) -> a__isNeList(X)
[40] mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
[41] mark(U52(X)) -> a__U52(mark(X))
[42] mark(U61(X)) -> a__U61(mark(X))
[43] mark(U71(X1,X2)) -> a__U71(mark(X1),X2)
[44] mark(U72(X)) -> a__U72(mark(X))
[45] mark(isPal(X)) -> a__isPal(X)
[46] mark(U81(X)) -> a__U81(mark(X))
[47] mark(isQid(X)) -> a__isQid(X)
[48] mark(isNePal(X)) -> a__isNePal(X)
[49] mark(nil) -> nil
[50] mark(tt) -> tt
[51] mark(a) -> a
[52] mark(e) -> e
[53] mark(i) -> i
[54] mark(o) -> o
[55] mark(u) -> u
[56] a____(X1,X2) -> __(X1,X2)
[57] a__U11(X) -> U11(X)
[58] a__U21(X1,X2) -> U21(X1,X2)
[59] a__U22(X) -> U22(X)
[60] a__isList(X) -> isList(X)
[61] a__U31(X) -> U31(X)
[62] a__U41(X1,X2) -> U41(X1,X2)
[63] a__U42(X) -> U42(X)
[64] a__isNeList(X) -> isNeList(X)
[65] a__U51(X1,X2) -> U51(X1,X2)
[66] a__U52(X) -> U52(X)
[67] a__U61(X) -> U61(X)
[68] a__U71(X1,X2) -> U71(X1,X2)
[69] a__U72(X) -> U72(X)
[70] a__isPal(X) -> isPal(X)
[71] a__U81(X) -> U81(X)
[72] a__isQid(X) -> isQid(X)
[73] a__isNePal(X) -> isNePal(X)


Sub problem: 
guided: 

DP termination of:
<Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))>
<Marked_a____(__(X,Y),Z) , Marked_mark(X)>
<Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
<Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
<Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
<Marked_a____(X,nil) , Marked_mark(X)>
<Marked_a____(nil,X) , Marked_mark(X)>
<Marked_a__U21(tt,V2) , Marked_a__U22(a__isList(V2))>
<Marked_a__U21(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U41(tt,V2) , Marked_a__U42(a__isNeList(V2))>
<Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)>
<Marked_a__U51(tt,V2) , Marked_a__U52(a__isList(V2))>
<Marked_a__U51(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U71(tt,P) , Marked_a__U72(a__isPal(P))>
<Marked_a__U71(tt,P) , Marked_a__isPal(P)>
<Marked_a__isList(V) , Marked_a__U11(a__isNeList(V))>
<Marked_a__isList(V) , Marked_a__isNeList(V)>
<Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
<Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(V) , Marked_a__U31(a__isQid(V))>
<Marked_a__isNeList(V) , Marked_a__isQid(V)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
<Marked_a__isNePal(V) , Marked_a__U61(a__isQid(V))>
<Marked_a__isNePal(V) , Marked_a__isQid(V)>
<Marked_a__isNePal(__(I,__(P,I))) , Marked_a__U71(a__isQid(I),P)>
<Marked_a__isNePal(__(I,__(P,I))) , Marked_a__isQid(I)>
<Marked_a__isPal(V) , Marked_a__U81(a__isNePal(V))>
<Marked_a__isPal(V) , Marked_a__isNePal(V)>
<Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
<Marked_mark(__(X1,X2)) , Marked_mark(X1)>
<Marked_mark(__(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U11(X)) , Marked_a__U11(mark(X))>
<Marked_mark(U11(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2)) , Marked_a__U21(mark(X1),X2)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X)) , Marked_a__U22(mark(X))>
<Marked_mark(U22(X)) , Marked_mark(X)>
<Marked_mark(isList(X)) , Marked_a__isList(X)>
<Marked_mark(U31(X)) , Marked_a__U31(mark(X))>
<Marked_mark(U31(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2)) , Marked_a__U41(mark(X1),X2)>
<Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U42(X)) , Marked_a__U42(mark(X))>
<Marked_mark(U42(X)) , Marked_mark(X)>
<Marked_mark(isNeList(X)) , Marked_a__isNeList(X)>
<Marked_mark(U51(X1,X2)) , Marked_a__U51(mark(X1),X2)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_a__U52(mark(X))>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X)) , Marked_a__U61(mark(X))>
<Marked_mark(U61(X)) , Marked_mark(X)>
<Marked_mark(U71(X1,X2)) , Marked_a__U71(mark(X1),X2)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X)) , Marked_a__U72(mark(X))>
<Marked_mark(U72(X)) , Marked_mark(X)>
<Marked_mark(isPal(X)) , Marked_a__isPal(X)>
<Marked_mark(U81(X)) , Marked_a__U81(mark(X))>
<Marked_mark(U81(X)) , Marked_mark(X)>
<Marked_mark(isQid(X)) , Marked_a__isQid(X)>
<Marked_mark(isNePal(X)) , Marked_a__isNePal(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_mark(U81(X)) , Marked_mark(X)> 
      --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(__(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(nil,X) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(X,nil) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(X)>
  <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),
                                     a____(mark(Y),mark(Z)))>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(nil,X) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(X,nil) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Z)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(Y)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(nil,X) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(X,nil) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),
                                     a____(mark(Y),mark(Z)))>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X2)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_mark(X1)>
  <Marked_a____(__(X,Y),Z) , Marked_mark(X)> 
     --> <Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(nil,X) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(X,nil) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_mark(X)>
  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
     --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),
                                     a____(mark(Y),mark(Z)))>
}

{  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)> 
      --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)> 
     --> <Marked_a__U51(tt,V2) , Marked_a__isList(V2)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(V) , Marked_a__isNeList(V)>
  <Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)> 
     --> <Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)>
  <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
  <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)> 
     --> <Marked_a__isList(V) , Marked_a__isNeList(V)>
  <Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)> 
     --> <Marked_a__U21(tt,V2) , Marked_a__isList(V2)>
  <Marked_a__isList(V) , Marked_a__isNeList(V)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
  <Marked_a__isList(V) , Marked_a__isNeList(V)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
  <Marked_a__isList(V) , Marked_a__isNeList(V)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__isList(V) , Marked_a__isNeList(V)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
  <Marked_a__U51(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__U51(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
  <Marked_a__U51(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(V) , Marked_a__isNeList(V)>
  <Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
  <Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
  <Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)> 
     --> <Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
  <Marked_a__U21(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
  <Marked_a__U21(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
  <Marked_a__U21(tt,V2) , Marked_a__isList(V2)> 
     --> <Marked_a__isList(V) , Marked_a__isNeList(V)>
}

{  <Marked_a__isPal(V) , Marked_a__isNePal(V)> 
      --> <Marked_a__isNePal(__(I,__(P,I))) , Marked_a__U71(a__isQid(I),P)>
  <Marked_a__isNePal(__(I,__(P,I))) , Marked_a__U71(a__isQid(I),P)> 
     --> <Marked_a__U71(tt,P) , Marked_a__isPal(P)>
  <Marked_a__U71(tt,P) , Marked_a__isPal(P)> 
     --> <Marked_a__isPal(V) , Marked_a__isNePal(V)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a____(__(X,Y),Z) >= a____(mark(X),a____(mark(Y),mark(Z))) ;
  a____(nil,X) >= mark(X) ;
  a____(X,nil) >= mark(X) ;
  a____(X1,X2) >= __(X1,X2) ;
  mark(__(X1,X2)) >= a____(mark(X1),mark(X2)) ;
  mark(nil) >= nil ;
  mark(tt) >= tt ;
  mark(a) >= a ;
  mark(e) >= e ;
  mark(i) >= i ;
  mark(o) >= o ;
  mark(u) >= u ;
  mark(U11(X)) >= a__U11(mark(X)) ;
  mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ;
  mark(U22(X)) >= a__U22(mark(X)) ;
  mark(isList(X)) >= a__isList(X) ;
  mark(U31(X)) >= a__U31(mark(X)) ;
  mark(U41(X1,X2)) >= a__U41(mark(X1),X2) ;
  mark(U42(X)) >= a__U42(mark(X)) ;
  mark(isNeList(X)) >= a__isNeList(X) ;
  mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ;
  mark(U52(X)) >= a__U52(mark(X)) ;
  mark(U61(X)) >= a__U61(mark(X)) ;
  mark(U71(X1,X2)) >= a__U71(mark(X1),X2) ;
  mark(U72(X)) >= a__U72(mark(X)) ;
  mark(isPal(X)) >= a__isPal(X) ;
  mark(U81(X)) >= a__U81(mark(X)) ;
  mark(isQid(X)) >= a__isQid(X) ;
  mark(isNePal(X)) >= a__isNePal(X) ;
  a__U11(tt) >= tt ;
  a__U11(X) >= U11(X) ;
  a__U22(tt) >= tt ;
  a__U22(X) >= U22(X) ;
  a__isList(__(V1,V2)) >= a__U21(a__isList(V1),V2) ;
  a__isList(nil) >= tt ;
  a__isList(X) >= isList(X) ;
  a__isList(V) >= a__U11(a__isNeList(V)) ;
  a__U21(tt,V2) >= a__U22(a__isList(V2)) ;
  a__U21(X1,X2) >= U21(X1,X2) ;
  a__U31(tt) >= tt ;
  a__U31(X) >= U31(X) ;
  a__U42(tt) >= tt ;
  a__U42(X) >= U42(X) ;
  a__isNeList(__(V1,V2)) >= a__U41(a__isList(V1),V2) ;
  a__isNeList(__(V1,V2)) >= a__U51(a__isNeList(V1),V2) ;
  a__isNeList(X) >= isNeList(X) ;
  a__isNeList(V) >= a__U31(a__isQid(V)) ;
  a__U41(tt,V2) >= a__U42(a__isNeList(V2)) ;
  a__U41(X1,X2) >= U41(X1,X2) ;
  a__U52(tt) >= tt ;
  a__U52(X) >= U52(X) ;
  a__U51(tt,V2) >= a__U52(a__isList(V2)) ;
  a__U51(X1,X2) >= U51(X1,X2) ;
  a__U61(tt) >= tt ;
  a__U61(X) >= U61(X) ;
  a__U72(tt) >= tt ;
  a__U72(X) >= U72(X) ;
  a__isPal(nil) >= tt ;
  a__isPal(X) >= isPal(X) ;
  a__isPal(V) >= a__U81(a__isNePal(V)) ;
  a__U71(tt,P) >= a__U72(a__isPal(P)) ;
  a__U71(X1,X2) >= U71(X1,X2) ;
  a__U81(tt) >= tt ;
  a__U81(X) >= U81(X) ;
  a__isQid(a) >= tt ;
  a__isQid(e) >= tt ;
  a__isQid(i) >= tt ;
  a__isQid(o) >= tt ;
  a__isQid(u) >= tt ;
  a__isQid(X) >= isQid(X) ;
  a__isNePal(__(I,__(P,I))) >= a__U71(a__isQid(I),P) ;
  a__isNePal(X) >= isNePal(X) ;
  a__isNePal(V) >= a__U61(a__isQid(V)) ;
  Marked_a____(__(X,Y),Z) >= Marked_a____(mark(X),a____(mark(Y),mark(Z))) ;
  Marked_a____(__(X,Y),Z) >= Marked_a____(mark(Y),mark(Z)) ;
  Marked_a____(__(X,Y),Z) >= Marked_mark(X) ;
  Marked_a____(__(X,Y),Z) >= Marked_mark(Y) ;
  Marked_a____(__(X,Y),Z) >= Marked_mark(Z) ;
  Marked_a____(nil,X) >= Marked_mark(X) ;
  Marked_a____(X,nil) >= Marked_mark(X) ;
  Marked_mark(__(X1,X2)) >= Marked_a____(mark(X1),mark(X2)) ;
  Marked_mark(__(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(__(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(U11(X)) >= Marked_mark(X) ;
  Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(U22(X)) >= Marked_mark(X) ;
  Marked_mark(U31(X)) >= Marked_mark(X) ;
  Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(U42(X)) >= Marked_mark(X) ;
  Marked_mark(U51(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(U52(X)) >= Marked_mark(X) ;
  Marked_mark(U61(X)) >= Marked_mark(X) ;
  Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(U72(X)) >= Marked_mark(X) ;
  Marked_mark(U81(X)) >= Marked_mark(X) ;
 }
 + Disjunctions:{ 
{
  Marked_a____(__(X,Y),Z) > Marked_a____(mark(X),a____(mark(Y),mark(Z))) ;
 }
{
  Marked_a____(__(X,Y),Z) > Marked_a____(mark(Y),mark(Z)) ;
 }
{
  Marked_a____(__(X,Y),Z) > Marked_mark(X) ;
 }
{
  Marked_a____(__(X,Y),Z) > Marked_mark(Y) ;
 }
{
  Marked_a____(__(X,Y),Z) > Marked_mark(Z) ;
 }
{
  Marked_a____(nil,X) > Marked_mark(X) ;
 }
{
  Marked_a____(X,nil) > Marked_mark(X) ;
 }
{
  Marked_mark(__(X1,X2)) > Marked_a____(mark(X1),mark(X2)) ;
 }
{
  Marked_mark(__(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(__(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(U11(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U21(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U31(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U41(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U42(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U51(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U52(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U61(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U71(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U72(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(U81(X)) > Marked_mark(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: a____(__(X,Y),Z) >= a____(mark(X),a____(mark(Y),mark(Z)))
constraint: a____(nil,X) >= mark(X)
constraint: a____(X,nil) >= mark(X)
constraint: a____(X1,X2) >= __(X1,X2)
constraint: mark(__(X1,X2)) >= a____(mark(X1),mark(X2))
constraint: mark(nil) >= nil
constraint: mark(tt) >= tt
constraint: mark(a) >= a
constraint: mark(e) >= e
constraint: mark(i) >= i
constraint: mark(o) >= o
constraint: mark(u) >= u
constraint: mark(U11(X)) >= a__U11(mark(X))
constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2)
constraint: mark(U22(X)) >= a__U22(mark(X))
constraint: mark(isList(X)) >= a__isList(X)
constraint: mark(U31(X)) >= a__U31(mark(X))
constraint: mark(U41(X1,X2)) >= a__U41(mark(X1),X2)
constraint: mark(U42(X)) >= a__U42(mark(X))
constraint: mark(isNeList(X)) >= a__isNeList(X)
constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2)
constraint: mark(U52(X)) >= a__U52(mark(X))
constraint: mark(U61(X)) >= a__U61(mark(X))
constraint: mark(U71(X1,X2)) >= a__U71(mark(X1),X2)
constraint: mark(U72(X)) >= a__U72(mark(X))
constraint: mark(isPal(X)) >= a__isPal(X)
constraint: mark(U81(X)) >= a__U81(mark(X))
constraint: mark(isQid(X)) >= a__isQid(X)
constraint: mark(isNePal(X)) >= a__isNePal(X)
constraint: a__U11(tt) >= tt
constraint: a__U11(X) >= U11(X)
constraint: a__U22(tt) >= tt
constraint: a__U22(X) >= U22(X)
constraint: a__isList(__(V1,V2)) >= a__U21(a__isList(V1),V2)
constraint: a__isList(nil) >= tt
constraint: a__isList(X) >= isList(X)
constraint: a__isList(V) >= a__U11(a__isNeList(V))
constraint: a__U21(tt,V2) >= a__U22(a__isList(V2))
constraint: a__U21(X1,X2) >= U21(X1,X2)
constraint: a__U31(tt) >= tt
constraint: a__U31(X) >= U31(X)
constraint: a__U42(tt) >= tt
constraint: a__U42(X) >= U42(X)
constraint: a__isNeList(__(V1,V2)) >= a__U41(a__isList(V1),V2)
constraint: a__isNeList(__(V1,V2)) >= a__U51(a__isNeList(V1),V2)
constraint: a__isNeList(X) >= isNeList(X)
constraint: a__isNeList(V) >= a__U31(a__isQid(V))
constraint: a__U41(tt,V2) >= a__U42(a__isNeList(V2))
constraint: a__U41(X1,X2) >= U41(X1,X2)
constraint: a__U52(tt) >= tt
constraint: a__U52(X) >= U52(X)
constraint: a__U51(tt,V2) >= a__U52(a__isList(V2))
constraint: a__U51(X1,X2) >= U51(X1,X2)
constraint: a__U61(tt) >= tt
constraint: a__U61(X) >= U61(X)
constraint: a__U72(tt) >= tt
constraint: a__U72(X) >= U72(X)
constraint: a__isPal(nil) >= tt
constraint: a__isPal(X) >= isPal(X)
constraint: a__isPal(V) >= a__U81(a__isNePal(V))
constraint: a__U71(tt,P) >= a__U72(a__isPal(P))
constraint: a__U71(X1,X2) >= U71(X1,X2)
constraint: a__U81(tt) >= tt
constraint: a__U81(X) >= U81(X)
constraint: a__isQid(a) >= tt
constraint: a__isQid(e) >= tt
constraint: a__isQid(i) >= tt
constraint: a__isQid(o) >= tt
constraint: a__isQid(u) >= tt
constraint: a__isQid(X) >= isQid(X)
constraint: a__isNePal(__(I,__(P,I))) >= a__U71(a__isQid(I),P)
constraint: a__isNePal(X) >= isNePal(X)
constraint: a__isNePal(V) >= a__U61(a__isQid(V))
constraint: Marked_a____(__(X,Y),Z) >= Marked_a____(mark(X),
                                        a____(mark(Y),mark(Z)))
constraint: Marked_a____(__(X,Y),Z) >= Marked_a____(mark(Y),mark(Z))
constraint: Marked_a____(__(X,Y),Z) >= Marked_mark(X)
constraint: Marked_a____(__(X,Y),Z) >= Marked_mark(Y)
constraint: Marked_a____(__(X,Y),Z) >= Marked_mark(Z)
constraint: Marked_a____(nil,X) >= Marked_mark(X)
constraint: Marked_a____(X,nil) >= Marked_mark(X)
constraint: Marked_mark(__(X1,X2)) >= Marked_a____(mark(X1),mark(X2))
constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(__(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(U11(X)) >= Marked_mark(X)
constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X)) >= Marked_mark(X)
constraint: Marked_mark(U31(X)) >= Marked_mark(X)
constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(U42(X)) >= Marked_mark(X)
constraint: Marked_mark(U51(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(U52(X)) >= Marked_mark(X)
constraint: Marked_mark(U61(X)) >= Marked_mark(X)
constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(U72(X)) >= Marked_mark(X)
constraint: Marked_mark(U81(X)) >= Marked_mark(X)
APPLY CRITERIA (Subterm criterion)

ST: Marked_a__U51 -> 2
Marked_a__isNeList -> 1
Marked_a__U41 -> 2
Marked_a__isList -> 1
Marked_a__U21 -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_a__isNePal -> 1
Marked_a__isPal -> 1
Marked_a__U71 -> 2

APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))> 
      --> <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),
                                      a____(mark(Y),mark(Z)))>
}

{  <Marked_mark(U81(X)) , Marked_mark(X)> 
      --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X)) , Marked_mark(X)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X)) , Marked_mark(X)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a____(__(X,Y),Z) >= a____(mark(X),a____(mark(Y),mark(Z))) ;
  a____(nil,X) >= mark(X) ;
  a____(X,nil) >= mark(X) ;
  a____(X1,X2) >= __(X1,X2) ;
  mark(__(X1,X2)) >= a____(mark(X1),mark(X2)) ;
  mark(nil) >= nil ;
  mark(tt) >= tt ;
  mark(a) >= a ;
  mark(e) >= e ;
  mark(i) >= i ;
  mark(o) >= o ;
  mark(u) >= u ;
  mark(U11(X)) >= a__U11(mark(X)) ;
  mark(U21(X1,X2)) >= a__U21(mark(X1),X2) ;
  mark(U22(X)) >= a__U22(mark(X)) ;
  mark(isList(X)) >= a__isList(X) ;
  mark(U31(X)) >= a__U31(mark(X)) ;
  mark(U41(X1,X2)) >= a__U41(mark(X1),X2) ;
  mark(U42(X)) >= a__U42(mark(X)) ;
  mark(isNeList(X)) >= a__isNeList(X) ;
  mark(U51(X1,X2)) >= a__U51(mark(X1),X2) ;
  mark(U52(X)) >= a__U52(mark(X)) ;
  mark(U61(X)) >= a__U61(mark(X)) ;
  mark(U71(X1,X2)) >= a__U71(mark(X1),X2) ;
  mark(U72(X)) >= a__U72(mark(X)) ;
  mark(isPal(X)) >= a__isPal(X) ;
  mark(U81(X)) >= a__U81(mark(X)) ;
  mark(isQid(X)) >= a__isQid(X) ;
  mark(isNePal(X)) >= a__isNePal(X) ;
  a__U11(tt) >= tt ;
  a__U11(X) >= U11(X) ;
  a__U22(tt) >= tt ;
  a__U22(X) >= U22(X) ;
  a__isList(__(V1,V2)) >= a__U21(a__isList(V1),V2) ;
  a__isList(nil) >= tt ;
  a__isList(X) >= isList(X) ;
  a__isList(V) >= a__U11(a__isNeList(V)) ;
  a__U21(tt,V2) >= a__U22(a__isList(V2)) ;
  a__U21(X1,X2) >= U21(X1,X2) ;
  a__U31(tt) >= tt ;
  a__U31(X) >= U31(X) ;
  a__U42(tt) >= tt ;
  a__U42(X) >= U42(X) ;
  a__isNeList(__(V1,V2)) >= a__U41(a__isList(V1),V2) ;
  a__isNeList(__(V1,V2)) >= a__U51(a__isNeList(V1),V2) ;
  a__isNeList(X) >= isNeList(X) ;
  a__isNeList(V) >= a__U31(a__isQid(V)) ;
  a__U41(tt,V2) >= a__U42(a__isNeList(V2)) ;
  a__U41(X1,X2) >= U41(X1,X2) ;
  a__U52(tt) >= tt ;
  a__U52(X) >= U52(X) ;
  a__U51(tt,V2) >= a__U52(a__isList(V2)) ;
  a__U51(X1,X2) >= U51(X1,X2) ;
  a__U61(tt) >= tt ;
  a__U61(X) >= U61(X) ;
  a__U72(tt) >= tt ;
  a__U72(X) >= U72(X) ;
  a__isPal(nil) >= tt ;
  a__isPal(X) >= isPal(X) ;
  a__isPal(V) >= a__U81(a__isNePal(V)) ;
  a__U71(tt,P) >= a__U72(a__isPal(P)) ;
  a__U71(X1,X2) >= U71(X1,X2) ;
  a__U81(tt) >= tt ;
  a__U81(X) >= U81(X) ;
  a__isQid(a) >= tt ;
  a__isQid(e) >= tt ;
  a__isQid(i) >= tt ;
  a__isQid(o) >= tt ;
  a__isQid(u) >= tt ;
  a__isQid(X) >= isQid(X) ;
  a__isNePal(__(I,__(P,I))) >= a__U71(a__isQid(I),P) ;
  a__isNePal(X) >= isNePal(X) ;
  a__isNePal(V) >= a__U61(a__isQid(V)) ;
  Marked_a____(__(X,Y),Z) >= Marked_a____(mark(X),a____(mark(Y),mark(Z))) ;
 }
 + Disjunctions:{ 
{
  Marked_a____(__(X,Y),Z) > Marked_a____(mark(X),a____(mark(Y),mark(Z))) ;
 }
 } 
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: a____(__(X,Y),Z) >= a____(mark(X),a____(mark(Y),mark(Z)))
constraint: a____(nil,X) >= mark(X)
constraint: a____(X,nil) >= mark(X)
constraint: a____(X1,X2) >= __(X1,X2)
constraint: mark(__(X1,X2)) >= a____(mark(X1),mark(X2))
constraint: mark(nil) >= nil
constraint: mark(tt) >= tt
constraint: mark(a) >= a
constraint: mark(e) >= e
constraint: mark(i) >= i
constraint: mark(o) >= o
constraint: mark(u) >= u
constraint: mark(U11(X)) >= a__U11(mark(X))
constraint: mark(U21(X1,X2)) >= a__U21(mark(X1),X2)
constraint: mark(U22(X)) >= a__U22(mark(X))
constraint: mark(isList(X)) >= a__isList(X)
constraint: mark(U31(X)) >= a__U31(mark(X))
constraint: mark(U41(X1,X2)) >= a__U41(mark(X1),X2)
constraint: mark(U42(X)) >= a__U42(mark(X))
constraint: mark(isNeList(X)) >= a__isNeList(X)
constraint: mark(U51(X1,X2)) >= a__U51(mark(X1),X2)
constraint: mark(U52(X)) >= a__U52(mark(X))
constraint: mark(U61(X)) >= a__U61(mark(X))
constraint: mark(U71(X1,X2)) >= a__U71(mark(X1),X2)
constraint: mark(U72(X)) >= a__U72(mark(X))
constraint: mark(isPal(X)) >= a__isPal(X)
constraint: mark(U81(X)) >= a__U81(mark(X))
constraint: mark(isQid(X)) >= a__isQid(X)
constraint: mark(isNePal(X)) >= a__isNePal(X)
constraint: a__U11(tt) >= tt
constraint: a__U11(X) >= U11(X)
constraint: a__U22(tt) >= tt
constraint: a__U22(X) >= U22(X)
constraint: a__isList(__(V1,V2)) >= a__U21(a__isList(V1),V2)
constraint: a__isList(nil) >= tt
constraint: a__isList(X) >= isList(X)
constraint: a__isList(V) >= a__U11(a__isNeList(V))
constraint: a__U21(tt,V2) >= a__U22(a__isList(V2))
constraint: a__U21(X1,X2) >= U21(X1,X2)
constraint: a__U31(tt) >= tt
constraint: a__U31(X) >= U31(X)
constraint: a__U42(tt) >= tt
constraint: a__U42(X) >= U42(X)
constraint: a__isNeList(__(V1,V2)) >= a__U41(a__isList(V1),V2)
constraint: a__isNeList(__(V1,V2)) >= a__U51(a__isNeList(V1),V2)
constraint: a__isNeList(X) >= isNeList(X)
constraint: a__isNeList(V) >= a__U31(a__isQid(V))
constraint: a__U41(tt,V2) >= a__U42(a__isNeList(V2))
constraint: a__U41(X1,X2) >= U41(X1,X2)
constraint: a__U52(tt) >= tt
constraint: a__U52(X) >= U52(X)
constraint: a__U51(tt,V2) >= a__U52(a__isList(V2))
constraint: a__U51(X1,X2) >= U51(X1,X2)
constraint: a__U61(tt) >= tt
constraint: a__U61(X) >= U61(X)
constraint: a__U72(tt) >= tt
constraint: a__U72(X) >= U72(X)
constraint: a__isPal(nil) >= tt
constraint: a__isPal(X) >= isPal(X)
constraint: a__isPal(V) >= a__U81(a__isNePal(V))
constraint: a__U71(tt,P) >= a__U72(a__isPal(P))
constraint: a__U71(X1,X2) >= U71(X1,X2)
constraint: a__U81(tt) >= tt
constraint: a__U81(X) >= U81(X)
constraint: a__isQid(a) >= tt
constraint: a__isQid(e) >= tt
constraint: a__isQid(i) >= tt
constraint: a__isQid(o) >= tt
constraint: a__isQid(u) >= tt
constraint: a__isQid(X) >= isQid(X)
constraint: a__isNePal(__(I,__(P,I))) >= a__U71(a__isQid(I),P)
constraint: a__isNePal(X) >= isNePal(X)
constraint: a__isNePal(V) >= a__U61(a__isQid(V))
constraint: Marked_a____(__(X,Y),Z) >= Marked_a____(mark(X),
                                        a____(mark(Y),mark(Z)))
APPLY CRITERIA (Subterm criterion)

ST: Marked_mark -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z)))
[2] a____(X,nil) -> mark(X)
[3] a____(nil,X) -> mark(X)
[4] a__U11(tt) -> tt
[5] a__U21(tt,V2) -> a__U22(a__isList(V2))
[6] a__U22(tt) -> tt
[7] a__U31(tt) -> tt
[8] a__U41(tt,V2) -> a__U42(a__isNeList(V2))
[9] a__U42(tt) -> tt
[10] a__U51(tt,V2) -> a__U52(a__isList(V2))
[11] a__U52(tt) -> tt
[12] a__U61(tt) -> tt
[13] a__U71(tt,P) -> a__U72(a__isPal(P))
[14] a__U72(tt) -> tt
[15] a__U81(tt) -> tt
[16] a__isList(V) -> a__U11(a__isNeList(V))
[17] a__isList(nil) -> tt
[18] a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2)
[19] a__isNeList(V) -> a__U31(a__isQid(V))
[20] a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2)
[21] a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2)
[22] a__isNePal(V) -> a__U61(a__isQid(V))
[23] a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P)
[24] a__isPal(V) -> a__U81(a__isNePal(V))
[25] a__isPal(nil) -> tt
[26] a__isQid(a) -> tt
[27] a__isQid(e) -> tt
[28] a__isQid(i) -> tt
[29] a__isQid(o) -> tt
[30] a__isQid(u) -> tt
[31] mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
[32] mark(U11(X)) -> a__U11(mark(X))
[33] mark(U21(X1,X2)) -> a__U21(mark(X1),X2)
[34] mark(U22(X)) -> a__U22(mark(X))
[35] mark(isList(X)) -> a__isList(X)
[36] mark(U31(X)) -> a__U31(mark(X))
[37] mark(U41(X1,X2)) -> a__U41(mark(X1),X2)
[38] mark(U42(X)) -> a__U42(mark(X))
[39] mark(isNeList(X)) -> a__isNeList(X)
[40] mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
[41] mark(U52(X)) -> a__U52(mark(X))
[42] mark(U61(X)) -> a__U61(mark(X))
[43] mark(U71(X1,X2)) -> a__U71(mark(X1),X2)
[44] mark(U72(X)) -> a__U72(mark(X))
[45] mark(isPal(X)) -> a__isPal(X)
[46] mark(U81(X)) -> a__U81(mark(X))
[47] mark(isQid(X)) -> a__isQid(X)
[48] mark(isNePal(X)) -> a__isNePal(X)
[49] mark(nil) -> nil
[50] mark(tt) -> tt
[51] mark(a) -> a
[52] mark(e) -> e
[53] mark(i) -> i
[54] mark(o) -> o
[55] mark(u) -> u
[56] a____(X1,X2) -> __(X1,X2)
[57] a__U11(X) -> U11(X)
[58] a__U21(X1,X2) -> U21(X1,X2)
[59] a__U22(X) -> U22(X)
[60] a__isList(X) -> isList(X)
[61] a__U31(X) -> U31(X)
[62] a__U41(X1,X2) -> U41(X1,X2)
[63] a__U42(X) -> U42(X)
[64] a__isNeList(X) -> isNeList(X)
[65] a__U51(X1,X2) -> U51(X1,X2)
[66] a__U52(X) -> U52(X)
[67] a__U61(X) -> U61(X)
[68] a__U71(X1,X2) -> U71(X1,X2)
[69] a__U72(X) -> U72(X)
[70] a__isPal(X) -> isPal(X)
[71] a__U81(X) -> U81(X)
[72] a__isQid(X) -> isQid(X)
[73] a__isNePal(X) -> isNePal(X)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))>
<Marked_a____(__(X,Y),Z) , Marked_mark(X)>
<Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
<Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
<Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
<Marked_a____(X,nil) , Marked_mark(X)>
<Marked_a____(nil,X) , Marked_mark(X)>
<Marked_a__U21(tt,V2) , Marked_a__U22(a__isList(V2))>
<Marked_a__U21(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U41(tt,V2) , Marked_a__U42(a__isNeList(V2))>
<Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)>
<Marked_a__U51(tt,V2) , Marked_a__U52(a__isList(V2))>
<Marked_a__U51(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U71(tt,P) , Marked_a__U72(a__isPal(P))>
<Marked_a__U71(tt,P) , Marked_a__isPal(P)>
<Marked_a__isList(V) , Marked_a__U11(a__isNeList(V))>
<Marked_a__isList(V) , Marked_a__isNeList(V)>
<Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
<Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(V) , Marked_a__U31(a__isQid(V))>
<Marked_a__isNeList(V) , Marked_a__isQid(V)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
<Marked_a__isNePal(V) , Marked_a__U61(a__isQid(V))>
<Marked_a__isNePal(V) , Marked_a__isQid(V)>
<Marked_a__isNePal(__(I,__(P,I))) , Marked_a__U71(a__isQid(I),P)>
<Marked_a__isNePal(__(I,__(P,I))) , Marked_a__isQid(I)>
<Marked_a__isPal(V) , Marked_a__U81(a__isNePal(V))>
<Marked_a__isPal(V) , Marked_a__isNePal(V)>
<Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
<Marked_mark(__(X1,X2)) , Marked_mark(X1)>
<Marked_mark(__(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U11(X)) , Marked_a__U11(mark(X))>
<Marked_mark(U11(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2)) , Marked_a__U21(mark(X1),X2)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X)) , Marked_a__U22(mark(X))>
<Marked_mark(U22(X)) , Marked_mark(X)>
<Marked_mark(isList(X)) , Marked_a__isList(X)>
<Marked_mark(U31(X)) , Marked_a__U31(mark(X))>
<Marked_mark(U31(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2)) , Marked_a__U41(mark(X1),X2)>
<Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U42(X)) , Marked_a__U42(mark(X))>
<Marked_mark(U42(X)) , Marked_mark(X)>
<Marked_mark(isNeList(X)) , Marked_a__isNeList(X)>
<Marked_mark(U51(X1,X2)) , Marked_a__U51(mark(X1),X2)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_a__U52(mark(X))>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X)) , Marked_a__U61(mark(X))>
<Marked_mark(U61(X)) , Marked_mark(X)>
<Marked_mark(U71(X1,X2)) , Marked_a__U71(mark(X1),X2)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X)) , Marked_a__U72(mark(X))>
<Marked_mark(U72(X)) , Marked_mark(X)>
<Marked_mark(isPal(X)) , Marked_a__isPal(X)>
<Marked_mark(U81(X)) , Marked_a__U81(mark(X))>
<Marked_mark(U81(X)) , Marked_mark(X)>
<Marked_mark(isQid(X)) , Marked_a__isQid(X)>
<Marked_mark(isNePal(X)) , Marked_a__isNePal(X)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))>
<Marked_a____(__(X,Y),Z) , Marked_mark(X)>
<Marked_a____(__(X,Y),Z) , Marked_a____(mark(Y),mark(Z))>
<Marked_a____(__(X,Y),Z) , Marked_mark(Y)>
<Marked_a____(__(X,Y),Z) , Marked_mark(Z)>
<Marked_a____(X,nil) , Marked_mark(X)>
<Marked_a____(nil,X) , Marked_mark(X)>
<Marked_mark(__(X1,X2)) , Marked_a____(mark(X1),mark(X2))>
<Marked_mark(__(X1,X2)) , Marked_mark(X1)>
<Marked_mark(__(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U11(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X)) , Marked_mark(X)>
<Marked_mark(U31(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U42(X)) , Marked_mark(X)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X)) , Marked_mark(X)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X)) , Marked_mark(X)>
<Marked_mark(U81(X)) , Marked_mark(X)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ a____ ] (X0,X1) = 1*X1 + 1*X0 + 2; 
 [ U41 ] (X0,X1) = 1*X0; 
 [ a__U72 ] (X0) = 2*X0; 
 [ a__U21 ] (X0,X1) = 2*X0; 
 [ isPal ] (X0) = 0; 
 [ i ] () = 0; 
 [ tt ] () = 0; 
 [ U52 ] (X0) = 1*X0; 
 [ a__isQid ] (X0) = 0; 
 [ a__U41 ] (X0,X1) = 1*X0; 
 [ U21 ] (X0,X1) = 2*X0; 
 [ __ ] (X0,X1) = 1*X1 + 1*X0 + 2; 
 [ isNeList ] (X0) = 0; 
 [ a__U71 ] (X0,X1) = 1*X0; 
 [ a__U42 ] (X0) = 1*X0; 
 [ isQid ] (X0) = 0; 
 [ u ] () = 0; 
 [ a__U22 ] (X0) = 2*X0; 
 [ U71 ] (X0,X1) = 1*X0; 
 [ a ] () = 0; 
 [ a__U51 ] (X0,X1) = 2*X0; 
 [ isList ] (X0) = 0; 
 [ Marked_mark ] (X0) = 3*X0; 
 [ mark ] (X0) = 1*X0; 
 [ U42 ] (X0) = 1*X0; 
 [ a__isPal ] (X0) = 0; 
 [ a__U31 ] (X0) = 1*X0; 
 [ U81 ] (X0) = 1*X0; 
 [ o ] () = 0; 
 [ a__U11 ] (X0) = 1*X0; 
 [ U61 ] (X0) = 2*X0; 
 [ a__isNePal ] (X0) = 0; 
 [ a__U52 ] (X0) = 1*X0; 
 [ U22 ] (X0) = 2*X0; 
 [ Marked_a____ ] (X0,X1) = 3*X1 + 3*X0; 
 [ nil ] () = 2; 
 [ U51 ] (X0,X1) = 2*X0; 
 [ a__U81 ] (X0) = 1*X0; 
 [ a__isNeList ] (X0) = 0; 
 [ isNePal ] (X0) = 0; 
 [ U11 ] (X0) = 1*X0; 
 [ a__isList ] (X0) = 0; 
 [ U72 ] (X0) = 2*X0; 
 [ e ] () = 0; 
 [ a__U61 ] (X0) = 2*X0; 
 [ U31 ] (X0) = 1*X0; 
 removing <Marked_a____(__(X,Y),Z),Marked_mark(X)><Marked_a____(__(X,Y),Z),
Marked_a____(mark(Y),mark(Z))><Marked_a____(__(X,Y),Z),Marked_mark(Y)><
Marked_a____(__(X,Y),Z),Marked_mark(Z)><Marked_a____(X,nil),Marked_mark(X)><
Marked_a____(nil,X),Marked_mark(X)><Marked_mark(__(X1,X2)),Marked_a____(
                                                            mark(X1),
                                                            mark(X2))><
Marked_mark(__(X1,X2)),Marked_mark(X1)><Marked_mark(__(X1,X2)),Marked_mark(X2)>
 [ {
      
     DP termination of:
     <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))>
<Marked_mark(U11(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X)) , Marked_mark(X)>
<Marked_mark(U31(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U42(X)) , Marked_mark(X)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X)) , Marked_mark(X)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X)) , Marked_mark(X)>
<Marked_mark(U81(X)) , Marked_mark(X)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_a____(__(X,Y),Z) , Marked_a____(mark(X),a____(mark(Y),mark(Z)))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ a____ ] (X0,X1) = 1 + 2*X0 + 1*X1 + 0; 
 [ U41 ] (X0,X1) = 0; 
 [ a__U72 ] (X0) = 0; 
 [ a__U21 ] (X0,X1) = 0; 
 [ isPal ] (X0) = 0; 
 [ i ] () = 0; 
 [ tt ] () = 0; 
 [ U52 ] (X0) = 0; 
 [ a__isQid ] (X0) = 0; 
 [ a__U41 ] (X0,X1) = 0; 
 [ U21 ] (X0,X1) = 0; 
 [ __ ] (X0,X1) = 1 + 2*X0 + 1*X1 + 0; 
 [ isNeList ] (X0) = 0; 
 [ a__U71 ] (X0,X1) = 1 + 0; 
 [ a__U42 ] (X0) = 0; 
 [ isQid ] (X0) = 0; 
 [ u ] () = 0; 
 [ a__U22 ] (X0) = 0; 
 [ U71 ] (X0,X1) = 1 + 0; 
 [ a ] () = 0; 
 [ a__U51 ] (X0,X1) = 0; 
 [ isList ] (X0) = 2 + 0; 
 [ mark ] (X0) = 1*X0 + 0; 
 [ U42 ] (X0) = 0; 
 [ a__isPal ] (X0) = 0; 
 [ a__U31 ] (X0) = 0; 
 [ U81 ] (X0) = 0; 
 [ o ] () = 0; 
 [ a__U11 ] (X0) = 0; 
 [ U61 ] (X0) = 0; 
 [ a__isNePal ] (X0) = 1 + 0; 
 [ a__U52 ] (X0) = 0; 
 [ U22 ] (X0) = 0; 
 [ Marked_a____ ] (X0,X1) = 1*X0 + 0; 
 [ nil ] () = 0; 
 [ U51 ] (X0,X1) = 0; 
 [ a__U81 ] (X0) = 0; 
 [ a__isNeList ] (X0) = 0; 
 [ isNePal ] (X0) = 1 + 0; 
 [ U11 ] (X0) = 0; 
 [ a__isList ] (X0) = 2 + 0; 
 [ U72 ] (X0) = 0; 
 [ e ] () = 0; 
 [ a__U61 ] (X0) = 0; 
 [ U31 ] (X0) = 0; 
 ]} 
{
 
DP termination of:
<Marked_mark(U11(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U22(X)) , Marked_mark(X)>
<Marked_mark(U31(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U42(X)) , Marked_mark(X)>
<Marked_mark(U51(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U52(X)) , Marked_mark(X)>
<Marked_mark(U61(X)) , Marked_mark(X)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X)) , Marked_mark(X)>
<Marked_mark(U81(X)) , Marked_mark(X)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_a__U21(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)>
<Marked_a__U51(tt,V2) , Marked_a__isList(V2)>
<Marked_a__isList(V) , Marked_a__isNeList(V)>
<Marked_a__isList(__(V1,V2)) , Marked_a__U21(a__isList(V1),V2)>
<Marked_a__isList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U41(a__isList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isList(V1)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__U51(a__isNeList(V1),V2)>
<Marked_a__isNeList(__(V1,V2)) , Marked_a__isNeList(V1)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_a__isList(V) , Marked_a__isNeList(V)>
<Marked_a__U51(tt,V2) , Marked_a__isList(V2)>
<Marked_a__U41(tt,V2) , Marked_a__isNeList(V2)>
<Marked_a__U21(tt,V2) , Marked_a__isList(V2)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
{
 
DP termination of:
<Marked_a__U71(tt,P) , Marked_a__isPal(P)>
<Marked_a__isNePal(__(I,__(P,I))) , Marked_a__U71(a__isQid(I),P)>
<Marked_a__isPal(V) , Marked_a__isNePal(V)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_a__isPal(V) , Marked_a__isNePal(V)>
<Marked_a__U71(tt,P) , Marked_a__isPal(P)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 0.503830 seconds (real time)
Cime Exit Status: 0