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

TRS termination of:
[1] active(U11(tt,M,N)) -> mark(U12(tt,M,N))
[2] active(U12(tt,M,N)) -> mark(s(plus(N,M)))
[3] active(U21(tt,M,N)) -> mark(U22(tt,M,N))
[4] active(U22(tt,M,N)) -> mark(plus(x(N,M),N))
[5] active(plus(N,0)) -> mark(N)
[6] active(plus(N,s(M))) -> mark(U11(tt,M,N))
[7] active(x(N,0)) -> mark(0)
[8] active(x(N,s(M))) -> mark(U21(tt,M,N))
[9] mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
[10] mark(tt) -> active(tt)
[11] mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
[12] mark(s(X)) -> active(s(mark(X)))
[13] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
[14] mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
[15] mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
[16] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2)))
[17] mark(0) -> active(0)
[18] U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
[19] U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
[20] U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
[21] U11(active(X1),X2,X3) -> U11(X1,X2,X3)
[22] U11(X1,active(X2),X3) -> U11(X1,X2,X3)
[23] U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
[24] U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
[25] U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
[26] U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
[27] U12(active(X1),X2,X3) -> U12(X1,X2,X3)
[28] U12(X1,active(X2),X3) -> U12(X1,X2,X3)
[29] U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
[30] s(mark(X)) -> s(X)
[31] s(active(X)) -> s(X)
[32] plus(mark(X1),X2) -> plus(X1,X2)
[33] plus(X1,mark(X2)) -> plus(X1,X2)
[34] plus(active(X1),X2) -> plus(X1,X2)
[35] plus(X1,active(X2)) -> plus(X1,X2)
[36] U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
[37] U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
[38] U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
[39] U21(active(X1),X2,X3) -> U21(X1,X2,X3)
[40] U21(X1,active(X2),X3) -> U21(X1,X2,X3)
[41] U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
[42] U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
[43] U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
[44] U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
[45] U22(active(X1),X2,X3) -> U22(X1,X2,X3)
[46] U22(X1,active(X2),X3) -> U22(X1,X2,X3)
[47] U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
[48] x(mark(X1),X2) -> x(X1,X2)
[49] x(X1,mark(X2)) -> x(X1,X2)
[50] x(active(X1),X2) -> x(X1,X2)
[51] x(X1,active(X2)) -> x(X1,X2)


Sub problem: 
guided: 

DP termination of:
<Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U11(tt,M,N)) , Marked_U12(tt,M,N)>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U12(tt,M,N)) , Marked_s(plus(N,M))>
<Marked_active(U12(tt,M,N)) , Marked_plus(N,M)>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U21(tt,M,N)) , Marked_U22(tt,M,N)>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(U22(tt,M,N)) , Marked_plus(x(N,M),N)>
<Marked_active(U22(tt,M,N)) , Marked_x(N,M)>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_active(plus(N,s(M))) , Marked_U11(tt,M,N)>
<Marked_active(x(N,0)) , Marked_mark(0)>
<Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
<Marked_active(x(N,s(M))) , Marked_U21(tt,M,N)>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_U11(mark(X1),X2,X3)>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(tt) , Marked_active(tt)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_U12(mark(X1),X2,X3)>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(mark(X)))>
<Marked_mark(s(X)) , Marked_s(mark(X))>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_plus(mark(X1),mark(X2))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_U21(mark(X1),X2,X3)>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_U22(mark(X1),X2,X3)>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_x(mark(X1),mark(X2))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
<Marked_mark(0) , Marked_active(0)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
<Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
<Marked_x(active(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 8 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}

{  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
      --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
}

{  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
      --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
}

{  <Marked_s(active(X)) , Marked_s(X)> --> <Marked_s(active(X)) , Marked_s(X)>
  <Marked_s(active(X)) , Marked_s(X)> --> <Marked_s(mark(X)) , Marked_s(X)>
  <Marked_s(mark(X)) , Marked_s(X)> --> <Marked_s(active(X)) , Marked_s(X)>
  <Marked_s(mark(X)) , Marked_s(X)> --> <Marked_s(mark(X)) , Marked_s(X)>
}

{  <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)> 
      --> <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
}

{  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
      --> <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),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(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),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(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
      --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
}

{  <Marked_x(X1,active(X2)) , Marked_x(X1,X2)> 
      --> <Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
  <Marked_x(X1,active(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(X1,active(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
  <Marked_x(X1,active(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
  <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
  <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)> 
     --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(s(X)) >= Marked_mark(X) ;
  Marked_mark(s(X)) >= Marked_active(s(mark(X))) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(plus(N,0)) >= Marked_mark(N) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
  Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N)) ;
  Marked_active(x(N,s(M))) >= Marked_mark(U21(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(s(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(s(X)) > Marked_active(s(mark(X))) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(plus(N,0)) > Marked_mark(N) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
{
  Marked_active(U21(tt,M,N)) > Marked_mark(U22(tt,M,N)) ;
 }
{
  Marked_active(x(N,s(M))) > Marked_mark(U21(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(s(X)) >= Marked_mark(X)
constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X)))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2)))
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(plus(N,0)) >= Marked_mark(N)
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N))
constraint: Marked_active(x(N,s(M))) >= Marked_mark(U21(tt,M,N))
APPLY CRITERIA (Subterm criterion)

ST: Marked_U11 -> 3

APPLY CRITERIA (Subterm criterion)

ST: Marked_U12 -> 3

APPLY CRITERIA (Subterm criterion)

ST: Marked_s -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_plus -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_U21 -> 3

APPLY CRITERIA (Subterm criterion)

ST: Marked_U22 -> 3

APPLY CRITERIA (Subterm criterion)

ST: Marked_x -> 2

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(s(X)) >= Marked_mark(X) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(plus(N,0)) >= Marked_mark(N) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
  Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N)) ;
  Marked_active(x(N,s(M))) >= Marked_mark(U21(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(s(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(plus(N,0)) > Marked_mark(N) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
{
  Marked_active(U21(tt,M,N)) > Marked_mark(U22(tt,M,N)) ;
 }
{
  Marked_active(x(N,s(M))) > Marked_mark(U21(tt,M,N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(s(X)) >= Marked_mark(X)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2)))
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(plus(N,0)) >= Marked_mark(N)
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N))
constraint: Marked_active(x(N,s(M))) >= Marked_mark(U21(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(plus(N,0)) >= Marked_mark(N) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
  Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(plus(N,0)) > Marked_mark(N) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
{
  Marked_active(U21(tt,M,N)) > Marked_mark(U22(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2)))
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(plus(N,0)) >= Marked_mark(N)
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,0)) , Marked_mark(N)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,0)) , Marked_mark(N)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(plus(N,0)) >= Marked_mark(N) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
  Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(plus(N,0)) > Marked_mark(N) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
{
  Marked_active(U21(tt,M,N)) > Marked_mark(U22(tt,M,N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(plus(N,0)) >= Marked_mark(N)
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
  Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
{
  Marked_active(U21(tt,M,N)) > Marked_mark(U22(tt,M,N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
constraint: Marked_active(U21(tt,M,N)) >= Marked_mark(U22(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U21(X1,X2,X3)) > Marked_active(U21(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(U21(X1,X2,X3)) >= Marked_active(U21(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
  Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
{
  Marked_active(U22(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
constraint: Marked_active(U22(tt,M,N)) >= Marked_mark(plus(x(N,M),N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3)) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_active(U22(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_active(U22(mark(X1),X2,X3))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(U22(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(U22(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(x(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X2)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(x(X1,X2)) , Marked_mark(X1)>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(x(X1,X2)) >= Marked_mark(X2) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(x(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2)
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
      --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2)))
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
      --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M))) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_active(U12(tt,M,N)) > Marked_mark(s(plus(N,M))) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_active(U12(tt,M,N)) >= Marked_mark(s(plus(N,M)))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
      --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
  Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
{
  Marked_active(plus(N,s(M))) > Marked_mark(U11(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U11(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
      --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ;
  mark(tt) >= active(tt) ;
  mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ;
  mark(s(X)) >= active(s(mark(X))) ;
  mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ;
  mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3)) ;
  mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3)) ;
  mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ;
  mark(0) >= active(0) ;
  U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(active(X1),X2,X3) >= U12(X1,X2,X3) ;
  U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,active(X2),X3) >= U12(X1,X2,X3) ;
  U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ;
  U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ;
  active(U12(tt,M,N)) >= mark(s(plus(N,M))) ;
  active(U11(tt,M,N)) >= mark(U12(tt,M,N)) ;
  active(plus(N,s(M))) >= mark(U11(tt,M,N)) ;
  active(plus(N,0)) >= mark(N) ;
  active(U22(tt,M,N)) >= mark(plus(x(N,M),N)) ;
  active(U21(tt,M,N)) >= mark(U22(tt,M,N)) ;
  active(x(N,s(M))) >= mark(U21(tt,M,N)) ;
  active(x(N,0)) >= mark(0) ;
  U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(active(X1),X2,X3) >= U11(X1,X2,X3) ;
  U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,active(X2),X3) >= U11(X1,X2,X3) ;
  U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ;
  U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  plus(mark(X1),X2) >= plus(X1,X2) ;
  plus(active(X1),X2) >= plus(X1,X2) ;
  plus(X1,mark(X2)) >= plus(X1,X2) ;
  plus(X1,active(X2)) >= plus(X1,X2) ;
  U22(mark(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(active(X1),X2,X3) >= U22(X1,X2,X3) ;
  U22(X1,mark(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,active(X2),X3) >= U22(X1,X2,X3) ;
  U22(X1,X2,mark(X3)) >= U22(X1,X2,X3) ;
  U22(X1,X2,active(X3)) >= U22(X1,X2,X3) ;
  U21(mark(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(active(X1),X2,X3) >= U21(X1,X2,X3) ;
  U21(X1,mark(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,active(X2),X3) >= U21(X1,X2,X3) ;
  U21(X1,X2,mark(X3)) >= U21(X1,X2,X3) ;
  U21(X1,X2,active(X3)) >= U21(X1,X2,X3) ;
  x(mark(X1),X2) >= x(X1,X2) ;
  x(active(X1),X2) >= x(X1,X2) ;
  x(X1,mark(X2)) >= x(X1,X2) ;
  x(X1,active(X2)) >= x(X1,X2) ;
  Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ;
  Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ;
  Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N)) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ;
 }
{
  Marked_active(U11(tt,M,N)) > Marked_mark(U12(tt,M,N)) ;
 }
 } 
=== 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: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3))
constraint: mark(tt) >= active(tt)
constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3))
constraint: mark(s(X)) >= active(s(mark(X)))
constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2)))
constraint: mark(U22(X1,X2,X3)) >= active(U22(mark(X1),X2,X3))
constraint: mark(U21(X1,X2,X3)) >= active(U21(mark(X1),X2,X3))
constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2)))
constraint: mark(0) >= active(0)
constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3)
constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3)
constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3)
constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3)
constraint: active(U12(tt,M,N)) >= mark(s(plus(N,M)))
constraint: active(U11(tt,M,N)) >= mark(U12(tt,M,N))
constraint: active(plus(N,s(M))) >= mark(U11(tt,M,N))
constraint: active(plus(N,0)) >= mark(N)
constraint: active(U22(tt,M,N)) >= mark(plus(x(N,M),N))
constraint: active(U21(tt,M,N)) >= mark(U22(tt,M,N))
constraint: active(x(N,s(M))) >= mark(U21(tt,M,N))
constraint: active(x(N,0)) >= mark(0)
constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3)
constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3)
constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3)
constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: plus(mark(X1),X2) >= plus(X1,X2)
constraint: plus(active(X1),X2) >= plus(X1,X2)
constraint: plus(X1,mark(X2)) >= plus(X1,X2)
constraint: plus(X1,active(X2)) >= plus(X1,X2)
constraint: U22(mark(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(active(X1),X2,X3) >= U22(X1,X2,X3)
constraint: U22(X1,mark(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,active(X2),X3) >= U22(X1,X2,X3)
constraint: U22(X1,X2,mark(X3)) >= U22(X1,X2,X3)
constraint: U22(X1,X2,active(X3)) >= U22(X1,X2,X3)
constraint: U21(mark(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(active(X1),X2,X3) >= U21(X1,X2,X3)
constraint: U21(X1,mark(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,active(X2),X3) >= U21(X1,X2,X3)
constraint: U21(X1,X2,mark(X3)) >= U21(X1,X2,X3)
constraint: U21(X1,X2,active(X3)) >= U21(X1,X2,X3)
constraint: x(mark(X1),X2) >= x(X1,X2)
constraint: x(active(X1),X2) >= x(X1,X2)
constraint: x(X1,mark(X2)) >= x(X1,X2)
constraint: x(X1,active(X2)) >= x(X1,X2)
constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3))
constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3))
constraint: Marked_active(U11(tt,M,N)) >= Marked_mark(U12(tt,M,N))
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
      --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U11 -> 2

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
      --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
  <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)> 
     --> <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U11 -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
      --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U12 -> 2

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
      --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
  <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)> 
     --> <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U12 -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
      --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
  <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)> 
     --> <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_plus -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U21(mark(X1),X2,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(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)> 
     --> <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U21 -> 2

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)> 
      --> <Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
  <Marked_U21(active(X1),X2,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(active(X1),X2,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)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U21 -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
      --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U22 -> 2

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
      --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
  <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)> 
     --> <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_U22 -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
      --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(mark(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
  <Marked_x(active(X1),X2) , Marked_x(X1,X2)> 
     --> <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_x -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] active(U11(tt,M,N)) -> mark(U12(tt,M,N))
[2] active(U12(tt,M,N)) -> mark(s(plus(N,M)))
[3] active(U21(tt,M,N)) -> mark(U22(tt,M,N))
[4] active(U22(tt,M,N)) -> mark(plus(x(N,M),N))
[5] active(plus(N,0)) -> mark(N)
[6] active(plus(N,s(M))) -> mark(U11(tt,M,N))
[7] active(x(N,0)) -> mark(0)
[8] active(x(N,s(M))) -> mark(U21(tt,M,N))
[9] mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
[10] mark(tt) -> active(tt)
[11] mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
[12] mark(s(X)) -> active(s(mark(X)))
[13] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
[14] mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
[15] mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
[16] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2)))
[17] mark(0) -> active(0)
[18] U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
[19] U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
[20] U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
[21] U11(active(X1),X2,X3) -> U11(X1,X2,X3)
[22] U11(X1,active(X2),X3) -> U11(X1,X2,X3)
[23] U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
[24] U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
[25] U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
[26] U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
[27] U12(active(X1),X2,X3) -> U12(X1,X2,X3)
[28] U12(X1,active(X2),X3) -> U12(X1,X2,X3)
[29] U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
[30] s(mark(X)) -> s(X)
[31] s(active(X)) -> s(X)
[32] plus(mark(X1),X2) -> plus(X1,X2)
[33] plus(X1,mark(X2)) -> plus(X1,X2)
[34] plus(active(X1),X2) -> plus(X1,X2)
[35] plus(X1,active(X2)) -> plus(X1,X2)
[36] U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
[37] U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
[38] U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
[39] U21(active(X1),X2,X3) -> U21(X1,X2,X3)
[40] U21(X1,active(X2),X3) -> U21(X1,X2,X3)
[41] U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
[42] U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
[43] U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
[44] U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
[45] U22(active(X1),X2,X3) -> U22(X1,X2,X3)
[46] U22(X1,active(X2),X3) -> U22(X1,X2,X3)
[47] U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
[48] x(mark(X1),X2) -> x(X1,X2)
[49] x(X1,mark(X2)) -> x(X1,X2)
[50] x(active(X1),X2) -> x(X1,X2)
[51] x(X1,active(X2)) -> x(X1,X2)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U11(tt,M,N)) , Marked_U12(tt,M,N)>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U12(tt,M,N)) , Marked_s(plus(N,M))>
<Marked_active(U12(tt,M,N)) , Marked_plus(N,M)>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U21(tt,M,N)) , Marked_U22(tt,M,N)>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(U22(tt,M,N)) , Marked_plus(x(N,M),N)>
<Marked_active(U22(tt,M,N)) , Marked_x(N,M)>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_active(plus(N,s(M))) , Marked_U11(tt,M,N)>
<Marked_active(x(N,0)) , Marked_mark(0)>
<Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
<Marked_active(x(N,s(M))) , Marked_U21(tt,M,N)>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_U11(mark(X1),X2,X3)>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(tt) , Marked_active(tt)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_U12(mark(X1),X2,X3)>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(mark(X)))>
<Marked_mark(s(X)) , Marked_s(mark(X))>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_plus(mark(X1),mark(X2))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_U21(mark(X1),X2,X3)>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_U22(mark(X1),X2,X3)>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_x(mark(X1),mark(X2))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
<Marked_mark(0) , Marked_active(0)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
<Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
<Marked_x(active(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(mark(X)))>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 1; 
 [ U11 ] (X0,X1,X2) = 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1; 
 [ U12 ] (X0,X1,X2) = 1; 
 [ x ] (X0,X1) = 1; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 1; 
 removing <Marked_mark(s(X)),Marked_active(s(mark(X)))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_active(x(N,s(M))) , Marked_mark(U21(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 1*X1 + 2*X0; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0 + 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0 + 1; 
 [ x ] (X0,X1) = 2*X1*X0 + 1*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 1; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 1*X1 + 1*X0; 
 removing <Marked_active(x(N,s(M))),Marked_mark(U21(tt,M,N))><Marked_mark(
                                                               U11(X1,
                                                                X2,X3)),
Marked_mark(X1)><Marked_mark(U12(X1,X2,X3)),Marked_mark(X1)><Marked_mark(s(X)),
Marked_mark(X)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_active(x(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 1; 
 [ U11 ] (X0,X1,X2) = 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1; 
 [ U12 ] (X0,X1,X2) = 1; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ U22 ] (X0,X1,X2) = 1; 
 removing <Marked_mark(x(X1,X2)),Marked_active(x(mark(X1),mark(X2)))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,0)) , Marked_mark(N)>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 2*X1 + 2*X0; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ 0 ] () = 1; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; 
 [ x ] (X0,X1) = 2*X1*X0 + 2*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 1; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 2*X2*X1 + 2*X2 + 2*X1 + 2*X0; 
 removing <Marked_active(plus(N,0)),Marked_mark(N)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U21(tt,M,N)) , Marked_mark(U22(tt,M,N))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 2*X0 + 2; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 2; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ U22 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 2*X0; 
 removing <Marked_active(U21(tt,M,N)),Marked_mark(U22(tt,M,N))><Marked_mark(
                                                                 U21(
                                                                  X1,
                                                                  X2,
                                                                  X3)),
Marked_mark(X1)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1; 
 [ U12 ] (X0,X1,X2) = 1; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 1; 
 removing <Marked_mark(U21(X1,X2,X3)),Marked_active(U21(mark(X1),X2,X3))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(U22(tt,M,N)) , Marked_mark(plus(x(N,M),N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 1*X2*X1 + 1*X2*X0 + 1*X2 + 1*X1 + 2; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1*X0; 
 [ tt ] () = 2; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1*X0; 
 [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 2; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 1*X0; 
 removing <Marked_active(U22(tt,M,N)),Marked_mark(plus(x(N,M),N))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 2; 
 [ U12 ] (X0,X1,X2) = 2; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ U22 ] (X0,X1,X2) = 0; 
 removing <Marked_mark(U22(X1,X2,X3)),Marked_active(U22(mark(X1),X2,X3))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 2; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ x ] (X0,X1) = 1*X1*X0 + 1*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 2; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ U22 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 1*X1 + 1*X0 + 2; 
 removing <Marked_mark(U22(X1,X2,X3)),Marked_mark(X1)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(plus(X1,X2)) , Marked_mark(X1)>
<Marked_mark(plus(X1,X2)) , Marked_mark(X2)>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1 + 2; 
 [ U11 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X1 + 1*X0 + 1; 
 [ U12 ] (X0,X1,X2) = 1*X2 + 1*X1 + 2; 
 [ x ] (X0,X1) = 1*X1*X0 + 2*X1 + 1*X0; 
 [ s ] (X0) = 1*X0 + 1; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ U22 ] (X0,X1,X2) = 1*X2*X1 + 2*X2 + 2*X1 + 1; 
 removing <Marked_mark(plus(X1,X2)),Marked_mark(X1)><Marked_mark(plus(X1,X2)),
Marked_mark(X2)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
<Marked_mark(x(X1,X2)) , Marked_mark(X1)>
<Marked_mark(x(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ U21 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; 
 [ U11 ] (X0,X1,X2) = 1*X2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1*X0; 
 [ U12 ] (X0,X1,X2) = 1*X2; 
 [ x ] (X0,X1) = 1*X1 + 1*X0 + 1; 
 [ s ] (X0) = 1*X0; 
 [ active ] (X0) = 1*X0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 1*X2 + 1*X1 + 1; 
 removing <Marked_mark(x(X1,X2)),Marked_mark(X1)><Marked_mark(x(X1,X2)),
Marked_mark(X2)>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(plus(X1,X2)) , Marked_active(plus(mark(X1),mark(X2)))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 0; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 2; 
 [ U12 ] (X0,X1,X2) = 0; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 0; 
 [ U22 ] (X0,X1,X2) = 0; 
 removing <Marked_mark(plus(X1,X2)),Marked_active(plus(mark(X1),mark(X2)))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(U12(tt,M,N)) , Marked_mark(s(plus(N,M)))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 1; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 0; 
 [ U12 ] (X0,X1,X2) = 1; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 1; 
 [ U22 ] (X0,X1,X2) = 0; 
 removing <Marked_active(U12(tt,M,N)),Marked_mark(s(plus(N,M)))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_active(plus(N,s(M))) , Marked_mark(U11(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 0; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 0; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 1; 
 [ U12 ] (X0,X1,X2) = 0; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ U22 ] (X0,X1,X2) = 0; 
 removing <Marked_active(plus(N,s(M))),Marked_mark(U11(tt,M,N))>
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(U11(tt,M,N)) , Marked_mark(U12(tt,M,N))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ U21 ] (X0,X1,X2) = 0; 
 [ U11 ] (X0,X1,X2) = 2; 
 [ tt ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0 + 3; 
 [ 0 ] () = 0; 
 [ plus ] (X0,X1) = 0; 
 [ U12 ] (X0,X1,X2) = 1; 
 [ x ] (X0,X1) = 0; 
 [ s ] (X0) = 0; 
 [ active ] (X0) = 0; 
 [ Marked_active ] (X0) = 2*X0 + 1; 
 [ U22 ] (X0,X1,X2) = 0; 
 removing <Marked_active(U11(tt,M,N)),Marked_mark(U12(tt,M,N))><Marked_mark(
                                                                 U12(
                                                                  X1,
                                                                  X2,
                                                                  X3)),
Marked_active(U12(mark(X1),X2,X3))>
 [ {
      
     DP termination of:
     <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,mark(X2)) , Marked_plus(X1,X2)>
<Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(X1,active(X2)) , Marked_plus(X1,X2)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_plus(active(X1),X2) , Marked_plus(X1,X2)>
<Marked_plus(mark(X1),X2) , Marked_plus(X1,X2)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,mark(X2)) , Marked_x(X1,X2)>
<Marked_x(active(X1),X2) , Marked_x(X1,X2)>
<Marked_x(X1,active(X2)) , Marked_x(X1,X2)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_x(active(X1),X2) , Marked_x(X1,X2)>
<Marked_x(mark(X1),X2) , Marked_x(X1,X2)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 43.080470 seconds (real time)
Cime Exit Status: 0