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

TRS termination of:
[1] active(and(true,X)) -> mark(X)
[2] active(and(false,Y)) -> mark(false)
[3] active(if(true,X,Y)) -> mark(X)
[4] active(if(false,X,Y)) -> mark(Y)
[5] active(add(0,X)) -> mark(X)
[6] active(add(s(X),Y)) -> mark(s(add(X,Y)))
[7] active(first(0,X)) -> mark(nil)
[8] active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z)))
[9] active(from(X)) -> mark(cons(X,from(s(X))))
[10] mark(and(X1,X2)) -> active(and(mark(X1),X2))
[11] mark(true) -> active(true)
[12] mark(false) -> active(false)
[13] mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
[14] mark(add(X1,X2)) -> active(add(mark(X1),X2))
[15] mark(0) -> active(0)
[16] mark(s(X)) -> active(s(X))
[17] mark(first(X1,X2)) -> active(first(mark(X1),mark(X2)))
[18] mark(nil) -> active(nil)
[19] mark(cons(X1,X2)) -> active(cons(X1,X2))
[20] mark(from(X)) -> active(from(X))
[21] and(mark(X1),X2) -> and(X1,X2)
[22] and(X1,mark(X2)) -> and(X1,X2)
[23] and(active(X1),X2) -> and(X1,X2)
[24] and(X1,active(X2)) -> and(X1,X2)
[25] if(mark(X1),X2,X3) -> if(X1,X2,X3)
[26] if(X1,mark(X2),X3) -> if(X1,X2,X3)
[27] if(X1,X2,mark(X3)) -> if(X1,X2,X3)
[28] if(active(X1),X2,X3) -> if(X1,X2,X3)
[29] if(X1,active(X2),X3) -> if(X1,X2,X3)
[30] if(X1,X2,active(X3)) -> if(X1,X2,X3)
[31] add(mark(X1),X2) -> add(X1,X2)
[32] add(X1,mark(X2)) -> add(X1,X2)
[33] add(active(X1),X2) -> add(X1,X2)
[34] add(X1,active(X2)) -> add(X1,X2)
[35] s(mark(X)) -> s(X)
[36] s(active(X)) -> s(X)
[37] first(mark(X1),X2) -> first(X1,X2)
[38] first(X1,mark(X2)) -> first(X1,X2)
[39] first(active(X1),X2) -> first(X1,X2)
[40] first(X1,active(X2)) -> first(X1,X2)
[41] cons(mark(X1),X2) -> cons(X1,X2)
[42] cons(X1,mark(X2)) -> cons(X1,X2)
[43] cons(active(X1),X2) -> cons(X1,X2)
[44] cons(X1,active(X2)) -> cons(X1,X2)
[45] from(mark(X)) -> from(X)
[46] from(active(X)) -> from(X)


Sub problem: 
guided: 

DP termination of:
<Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(and(false,Y)) , Marked_mark(false)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(if(false,X,Y)) , Marked_mark(Y)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(add(s(X),Y)) , Marked_s(add(X,Y))>
<Marked_active(add(s(X),Y)) , Marked_add(X,Y)>
<Marked_active(first(0,X)) , Marked_mark(nil)>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_cons(Y,first(X,Z))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_first(X,Z)>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_active(from(X)) , Marked_cons(X,from(s(X)))>
<Marked_active(from(X)) , Marked_from(s(X))>
<Marked_active(from(X)) , Marked_s(X)>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_and(mark(X1),X2)>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(true) , Marked_active(true)>
<Marked_mark(false) , Marked_active(false)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_if(mark(X1),X2,X3)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_add(mark(X1),X2)>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(0) , Marked_active(0)>
<Marked_mark(s(X)) , Marked_active(s(X))>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_first(mark(X1),mark(X2))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(nil) , Marked_active(nil)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
<Marked_mark(from(X)) , Marked_active(from(X))>
<Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
<Marked_and(active(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,active(X2)) , Marked_and(X1,X2)>
<Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
<Marked_add(mark(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,mark(X2)) , Marked_add(X1,X2)>
<Marked_add(active(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_first(mark(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,mark(X2)) , Marked_first(X1,X2)>
<Marked_first(active(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,mark(X2)) , Marked_cons(X1,X2)>
<Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
<Marked_from(mark(X)) , Marked_from(X)>
<Marked_from(active(X)) , Marked_from(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 8 components:

{  <Marked_mark(from(X)) , Marked_active(from(X))> 
      --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
}

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

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

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

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

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

{  <Marked_from(active(X)) , Marked_from(X)> 
      --> <Marked_from(active(X)) , Marked_from(X)>
  <Marked_from(active(X)) , Marked_from(X)> 
     --> <Marked_from(mark(X)) , Marked_from(X)>
  <Marked_from(mark(X)) , Marked_from(X)> 
     --> <Marked_from(active(X)) , Marked_from(X)>
  <Marked_from(mark(X)) , Marked_from(X)> 
     --> <Marked_from(mark(X)) , Marked_from(X)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(and(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3)) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2)) ;
  Marked_mark(s(X)) >= Marked_active(s(X)) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2))) ;
  Marked_mark(cons(X1,X2)) >= Marked_active(cons(X1,X2)) ;
  Marked_mark(from(X)) >= Marked_active(from(X)) ;
  Marked_active(and(true,X)) >= Marked_mark(X) ;
  Marked_active(if(true,X,Y)) >= Marked_mark(X) ;
  Marked_active(if(false,X,Y)) >= Marked_mark(Y) ;
  Marked_active(add(0,X)) >= Marked_mark(X) ;
  Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y))) ;
  Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(Y,first(X,Z))) ;
  Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X)))) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(and(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_active(if(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_active(add(mark(X1),X2)) ;
 }
{
  Marked_mark(s(X)) > Marked_active(s(X)) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_active(first(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(cons(X1,X2)) > Marked_active(cons(X1,X2)) ;
 }
{
  Marked_mark(from(X)) > Marked_active(from(X)) ;
 }
{
  Marked_active(and(true,X)) > Marked_mark(X) ;
 }
{
  Marked_active(if(true,X,Y)) > Marked_mark(X) ;
 }
{
  Marked_active(if(false,X,Y)) > Marked_mark(Y) ;
 }
{
  Marked_active(add(0,X)) > Marked_mark(X) ;
 }
{
  Marked_active(add(s(X),Y)) > Marked_mark(s(add(X,Y))) ;
 }
{
  Marked_active(first(s(X),cons(Y,Z))) > Marked_mark(cons(Y,first(X,Z))) ;
 }
{
  Marked_active(from(X)) > Marked_mark(cons(X,from(s(X)))) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2))
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3))
constraint: Marked_mark(add(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2))
constraint: Marked_mark(s(X)) >= Marked_active(s(X))
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2)))
constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(X1,X2))
constraint: Marked_mark(from(X)) >= Marked_active(from(X))
constraint: Marked_active(and(true,X)) >= Marked_mark(X)
constraint: Marked_active(if(true,X,Y)) >= Marked_mark(X)
constraint: Marked_active(if(false,X,Y)) >= Marked_mark(Y)
constraint: Marked_active(add(0,X)) >= Marked_mark(X)
constraint: Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y)))
constraint: Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(
                                                                 Y,first(X,Z)))
constraint: Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X))))
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_and(mark(X1),X2) >= Marked_and(X1,X2) ;
  Marked_and(active(X1),X2) >= Marked_and(X1,X2) ;
  Marked_and(X1,mark(X2)) >= Marked_and(X1,X2) ;
  Marked_and(X1,active(X2)) >= Marked_and(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_and(mark(X1),X2) > Marked_and(X1,X2) ;
 }
{
  Marked_and(active(X1),X2) > Marked_and(X1,X2) ;
 }
{
  Marked_and(X1,mark(X2)) > Marked_and(X1,X2) ;
 }
{
  Marked_and(X1,active(X2)) > Marked_and(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_and(mark(X1),X2) >= Marked_and(X1,X2)
constraint: Marked_and(active(X1),X2) >= Marked_and(X1,X2)
constraint: Marked_and(X1,mark(X2)) >= Marked_and(X1,X2)
constraint: Marked_and(X1,active(X2)) >= Marked_and(X1,X2)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_if(mark(X1),X2,X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,mark(X2),X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,X2,mark(X3)) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,X2,active(X3)) >= Marked_if(X1,X2,X3) ;
 }
 + Disjunctions:{ 
{
  Marked_if(mark(X1),X2,X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(active(X1),X2,X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,mark(X2),X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,active(X2),X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,X2,mark(X3)) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,X2,active(X3)) > Marked_if(X1,X2,X3) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_if(mark(X1),X2,X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,mark(X2),X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,X2,mark(X3)) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,X2,active(X3)) >= Marked_if(X1,X2,X3)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_add(mark(X1),X2) >= Marked_add(X1,X2) ;
  Marked_add(active(X1),X2) >= Marked_add(X1,X2) ;
  Marked_add(X1,mark(X2)) >= Marked_add(X1,X2) ;
  Marked_add(X1,active(X2)) >= Marked_add(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_add(mark(X1),X2) > Marked_add(X1,X2) ;
 }
{
  Marked_add(active(X1),X2) > Marked_add(X1,X2) ;
 }
{
  Marked_add(X1,mark(X2)) > Marked_add(X1,X2) ;
 }
{
  Marked_add(X1,active(X2)) > Marked_add(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_add(mark(X1),X2) >= Marked_add(X1,X2)
constraint: Marked_add(active(X1),X2) >= Marked_add(X1,X2)
constraint: Marked_add(X1,mark(X2)) >= Marked_add(X1,X2)
constraint: Marked_add(X1,active(X2)) >= Marked_add(X1,X2)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_s(mark(X)) >= Marked_s(X) ;
  Marked_s(active(X)) >= Marked_s(X) ;
 }
 + Disjunctions:{ 
{
  Marked_s(mark(X)) > Marked_s(X) ;
 }
{
  Marked_s(active(X)) > Marked_s(X) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_s(mark(X)) >= Marked_s(X)
constraint: Marked_s(active(X)) >= Marked_s(X)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_first(mark(X1),X2) >= Marked_first(X1,X2) ;
  Marked_first(active(X1),X2) >= Marked_first(X1,X2) ;
  Marked_first(X1,mark(X2)) >= Marked_first(X1,X2) ;
  Marked_first(X1,active(X2)) >= Marked_first(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_first(mark(X1),X2) > Marked_first(X1,X2) ;
 }
{
  Marked_first(active(X1),X2) > Marked_first(X1,X2) ;
 }
{
  Marked_first(X1,mark(X2)) > Marked_first(X1,X2) ;
 }
{
  Marked_first(X1,active(X2)) > Marked_first(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_first(mark(X1),X2) >= Marked_first(X1,X2)
constraint: Marked_first(active(X1),X2) >= Marked_first(X1,X2)
constraint: Marked_first(X1,mark(X2)) >= Marked_first(X1,X2)
constraint: Marked_first(X1,active(X2)) >= Marked_first(X1,X2)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_cons(mark(X1),X2) >= Marked_cons(X1,X2) ;
  Marked_cons(active(X1),X2) >= Marked_cons(X1,X2) ;
  Marked_cons(X1,mark(X2)) >= Marked_cons(X1,X2) ;
  Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_cons(mark(X1),X2) > Marked_cons(X1,X2) ;
 }
{
  Marked_cons(active(X1),X2) > Marked_cons(X1,X2) ;
 }
{
  Marked_cons(X1,mark(X2)) > Marked_cons(X1,X2) ;
 }
{
  Marked_cons(X1,active(X2)) > Marked_cons(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_cons(mark(X1),X2) >= Marked_cons(X1,X2)
constraint: Marked_cons(active(X1),X2) >= Marked_cons(X1,X2)
constraint: Marked_cons(X1,mark(X2)) >= Marked_cons(X1,X2)
constraint: Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_from(mark(X)) >= Marked_from(X) ;
  Marked_from(active(X)) >= Marked_from(X) ;
 }
 + Disjunctions:{ 
{
  Marked_from(mark(X)) > Marked_from(X) ;
 }
{
  Marked_from(active(X)) > Marked_from(X) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_from(mark(X)) >= Marked_from(X)
constraint: Marked_from(active(X)) >= Marked_from(X)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(from(X)) , Marked_active(from(X))> 
      --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(X))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(X))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(and(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3)) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2)) ;
  Marked_mark(s(X)) >= Marked_active(s(X)) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2))) ;
  Marked_mark(cons(X1,X2)) >= Marked_active(cons(X1,X2)) ;
  Marked_mark(from(X)) >= Marked_active(from(X)) ;
  Marked_active(and(true,X)) >= Marked_mark(X) ;
  Marked_active(if(true,X,Y)) >= Marked_mark(X) ;
  Marked_active(add(0,X)) >= Marked_mark(X) ;
  Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y))) ;
  Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(Y,first(X,Z))) ;
  Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X)))) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(and(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_active(if(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_active(add(mark(X1),X2)) ;
 }
{
  Marked_mark(s(X)) > Marked_active(s(X)) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_active(first(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(cons(X1,X2)) > Marked_active(cons(X1,X2)) ;
 }
{
  Marked_mark(from(X)) > Marked_active(from(X)) ;
 }
{
  Marked_active(and(true,X)) > Marked_mark(X) ;
 }
{
  Marked_active(if(true,X,Y)) > Marked_mark(X) ;
 }
{
  Marked_active(add(0,X)) > Marked_mark(X) ;
 }
{
  Marked_active(add(s(X),Y)) > Marked_mark(s(add(X,Y))) ;
 }
{
  Marked_active(first(s(X),cons(Y,Z))) > Marked_mark(cons(Y,first(X,Z))) ;
 }
{
  Marked_active(from(X)) > Marked_mark(cons(X,from(s(X)))) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2))
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3))
constraint: Marked_mark(add(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2))
constraint: Marked_mark(s(X)) >= Marked_active(s(X))
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2)))
constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(X1,X2))
constraint: Marked_mark(from(X)) >= Marked_active(from(X))
constraint: Marked_active(and(true,X)) >= Marked_mark(X)
constraint: Marked_active(if(true,X,Y)) >= Marked_mark(X)
constraint: Marked_active(add(0,X)) >= Marked_mark(X)
constraint: Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y)))
constraint: Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(
                                                                 Y,first(X,Z)))
constraint: Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X))))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(from(X)) , Marked_active(from(X))> 
      --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(from(X)) , Marked_active(from(X))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(add(0,X)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))> 
     --> <Marked_active(and(true,X)) , Marked_mark(X)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(add(0,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(from(X)) , Marked_active(from(X))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_active(and(true,X)) , Marked_mark(X)> 
     --> <Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(and(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2)) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3)) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2)) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2))) ;
  Marked_mark(from(X)) >= Marked_active(from(X)) ;
  Marked_active(and(true,X)) >= Marked_mark(X) ;
  Marked_active(if(true,X,Y)) >= Marked_mark(X) ;
  Marked_active(add(0,X)) >= Marked_mark(X) ;
  Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y))) ;
  Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(Y,first(X,Z))) ;
  Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X)))) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(and(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(and(X1,X2)) > Marked_active(and(mark(X1),X2)) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_active(if(mark(X1),X2,X3)) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_active(add(mark(X1),X2)) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_active(first(mark(X1),mark(X2))) ;
 }
{
  Marked_mark(from(X)) > Marked_active(from(X)) ;
 }
{
  Marked_active(and(true,X)) > Marked_mark(X) ;
 }
{
  Marked_active(if(true,X,Y)) > Marked_mark(X) ;
 }
{
  Marked_active(add(0,X)) > Marked_mark(X) ;
 }
{
  Marked_active(add(s(X),Y)) > Marked_mark(s(add(X,Y))) ;
 }
{
  Marked_active(first(s(X),cons(Y,Z))) > Marked_mark(cons(Y,first(X,Z))) ;
 }
{
  Marked_active(from(X)) > Marked_mark(cons(X,from(s(X)))) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(and(X1,X2)) >= Marked_active(and(mark(X1),X2))
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),X2,X3))
constraint: Marked_mark(add(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(add(X1,X2)) >= Marked_active(add(mark(X1),X2))
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
constraint: Marked_mark(first(X1,X2)) >= Marked_active(first(mark(X1),mark(X2)))
constraint: Marked_mark(from(X)) >= Marked_active(from(X))
constraint: Marked_active(and(true,X)) >= Marked_mark(X)
constraint: Marked_active(if(true,X,Y)) >= Marked_mark(X)
constraint: Marked_active(add(0,X)) >= Marked_mark(X)
constraint: Marked_active(add(s(X),Y)) >= Marked_mark(s(add(X,Y)))
constraint: Marked_active(first(s(X),cons(Y,Z))) >= Marked_mark(cons(
                                                                 Y,first(X,Z)))
constraint: Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X))))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(and(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(and(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(add(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(and(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(and(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(and(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(and(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(first(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(first(X1,X2)) >= Marked_mark(X2) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(first(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(first(X1,X2)) > Marked_mark(X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X1)
constraint: Marked_mark(first(X1,X2)) >= Marked_mark(X2)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_and(X1,mark(X2)) , Marked_and(X1,X2)> 
      --> <Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
  <Marked_and(X1,mark(X2)) , Marked_and(X1,X2)> 
     --> <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
  <Marked_and(mark(X1),X2) , Marked_and(X1,X2)> 
     --> <Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
  <Marked_and(mark(X1),X2) , Marked_and(X1,X2)> 
     --> <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_and(mark(X1),X2) >= Marked_and(X1,X2) ;
  Marked_and(X1,mark(X2)) >= Marked_and(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_and(mark(X1),X2) > Marked_and(X1,X2) ;
 }
{
  Marked_and(X1,mark(X2)) > Marked_and(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_and(mark(X1),X2) >= Marked_and(X1,X2)
constraint: Marked_and(X1,mark(X2)) >= Marked_and(X1,X2)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
      --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_if(mark(X1),X2,X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,mark(X2),X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3) ;
 }
 + Disjunctions:{ 
{
  Marked_if(mark(X1),X2,X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(active(X1),X2,X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,mark(X2),X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,active(X2),X3) > Marked_if(X1,X2,X3) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_if(mark(X1),X2,X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,mark(X2),X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
      --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3) ;
  Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3) ;
 }
 + Disjunctions:{ 
{
  Marked_if(active(X1),X2,X3) > Marked_if(X1,X2,X3) ;
 }
{
  Marked_if(X1,active(X2),X3) > Marked_if(X1,X2,X3) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_if(active(X1),X2,X3) >= Marked_if(X1,X2,X3)
constraint: Marked_if(X1,active(X2),X3) >= Marked_if(X1,X2,X3)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_add(X1,active(X2)) , Marked_add(X1,X2)> 
      --> <Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
  <Marked_add(X1,active(X2)) , Marked_add(X1,X2)> 
     --> <Marked_add(active(X1),X2) , Marked_add(X1,X2)>
  <Marked_add(active(X1),X2) , Marked_add(X1,X2)> 
     --> <Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
  <Marked_add(active(X1),X2) , Marked_add(X1,X2)> 
     --> <Marked_add(active(X1),X2) , Marked_add(X1,X2)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_add(active(X1),X2) >= Marked_add(X1,X2) ;
  Marked_add(X1,active(X2)) >= Marked_add(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_add(active(X1),X2) > Marked_add(X1,X2) ;
 }
{
  Marked_add(X1,active(X2)) > Marked_add(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_add(active(X1),X2) >= Marked_add(X1,X2)
constraint: Marked_add(X1,active(X2)) >= Marked_add(X1,X2)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_first(X1,active(X2)) , Marked_first(X1,X2)> 
      --> <Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
  <Marked_first(X1,active(X2)) , Marked_first(X1,X2)> 
     --> <Marked_first(active(X1),X2) , Marked_first(X1,X2)>
  <Marked_first(active(X1),X2) , Marked_first(X1,X2)> 
     --> <Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
  <Marked_first(active(X1),X2) , Marked_first(X1,X2)> 
     --> <Marked_first(active(X1),X2) , Marked_first(X1,X2)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_first(active(X1),X2) >= Marked_first(X1,X2) ;
  Marked_first(X1,active(X2)) >= Marked_first(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_first(active(X1),X2) > Marked_first(X1,X2) ;
 }
{
  Marked_first(X1,active(X2)) > Marked_first(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_first(active(X1),X2) >= Marked_first(X1,X2)
constraint: Marked_first(X1,active(X2)) >= Marked_first(X1,X2)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)> 
      --> <Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
  <Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)> 
     --> <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
  <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)> 
     --> <Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
  <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)> 
     --> <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_cons(active(X1),X2) >= Marked_cons(X1,X2) ;
  Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2) ;
 }
 + Disjunctions:{ 
{
  Marked_cons(active(X1),X2) > Marked_cons(X1,X2) ;
 }
{
  Marked_cons(X1,active(X2)) > Marked_cons(X1,X2) ;
 }
 } 
=== 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(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_cons(active(X1),X2) >= Marked_cons(X1,X2)
constraint: Marked_cons(X1,active(X2)) >= Marked_cons(X1,X2)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_from(active(X)) , Marked_from(X)> 
      --> <Marked_from(active(X)) , Marked_from(X)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(and(X1,X2)) >= active(and(mark(X1),X2)) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3)) ;
  mark(add(X1,X2)) >= active(add(mark(X1),X2)) ;
  mark(0) >= active(0) ;
  mark(s(X)) >= active(s(X)) ;
  mark(nil) >= active(nil) ;
  mark(first(X1,X2)) >= active(first(mark(X1),mark(X2))) ;
  mark(cons(X1,X2)) >= active(cons(X1,X2)) ;
  mark(from(X)) >= active(from(X)) ;
  active(and(true,X)) >= mark(X) ;
  active(and(false,Y)) >= mark(false) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(add(0,X)) >= mark(X) ;
  active(add(s(X),Y)) >= mark(s(add(X,Y))) ;
  active(first(0,X)) >= mark(nil) ;
  active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z))) ;
  active(from(X)) >= mark(cons(X,from(s(X)))) ;
  and(mark(X1),X2) >= and(X1,X2) ;
  and(active(X1),X2) >= and(X1,X2) ;
  and(X1,mark(X2)) >= and(X1,X2) ;
  and(X1,active(X2)) >= and(X1,X2) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  add(mark(X1),X2) >= add(X1,X2) ;
  add(active(X1),X2) >= add(X1,X2) ;
  add(X1,mark(X2)) >= add(X1,X2) ;
  add(X1,active(X2)) >= add(X1,X2) ;
  s(mark(X)) >= s(X) ;
  s(active(X)) >= s(X) ;
  first(mark(X1),X2) >= first(X1,X2) ;
  first(active(X1),X2) >= first(X1,X2) ;
  first(X1,mark(X2)) >= first(X1,X2) ;
  first(X1,active(X2)) >= first(X1,X2) ;
  cons(mark(X1),X2) >= cons(X1,X2) ;
  cons(active(X1),X2) >= cons(X1,X2) ;
  cons(X1,mark(X2)) >= cons(X1,X2) ;
  cons(X1,active(X2)) >= cons(X1,X2) ;
  from(mark(X)) >= from(X) ;
  from(active(X)) >= from(X) ;
  Marked_from(active(X)) >= Marked_from(X) ;
 }
 + Disjunctions:{ 
{
  Marked_from(active(X)) > Marked_from(X) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: mark(and(X1,X2)) >= active(and(mark(X1),X2))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: mark(if(X1,X2,X3)) >= active(if(mark(X1),X2,X3))
constraint: mark(add(X1,X2)) >= active(add(mark(X1),X2))
constraint: mark(0) >= active(0)
constraint: mark(s(X)) >= active(s(X))
constraint: mark(nil) >= active(nil)
constraint: mark(first(X1,X2)) >= active(first(mark(X1),mark(X2)))
constraint: mark(cons(X1,X2)) >= active(cons(X1,X2))
constraint: mark(from(X)) >= active(from(X))
constraint: active(and(true,X)) >= mark(X)
constraint: active(and(false,Y)) >= mark(false)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(add(0,X)) >= mark(X)
constraint: active(add(s(X),Y)) >= mark(s(add(X,Y)))
constraint: active(first(0,X)) >= mark(nil)
constraint: active(first(s(X),cons(Y,Z))) >= mark(cons(Y,first(X,Z)))
constraint: active(from(X)) >= mark(cons(X,from(s(X))))
constraint: and(mark(X1),X2) >= and(X1,X2)
constraint: and(active(X1),X2) >= and(X1,X2)
constraint: and(X1,mark(X2)) >= and(X1,X2)
constraint: and(X1,active(X2)) >= and(X1,X2)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: add(mark(X1),X2) >= add(X1,X2)
constraint: add(active(X1),X2) >= add(X1,X2)
constraint: add(X1,mark(X2)) >= add(X1,X2)
constraint: add(X1,active(X2)) >= add(X1,X2)
constraint: s(mark(X)) >= s(X)
constraint: s(active(X)) >= s(X)
constraint: first(mark(X1),X2) >= first(X1,X2)
constraint: first(active(X1),X2) >= first(X1,X2)
constraint: first(X1,mark(X2)) >= first(X1,X2)
constraint: first(X1,active(X2)) >= first(X1,X2)
constraint: cons(mark(X1),X2) >= cons(X1,X2)
constraint: cons(active(X1),X2) >= cons(X1,X2)
constraint: cons(X1,mark(X2)) >= cons(X1,X2)
constraint: cons(X1,active(X2)) >= cons(X1,X2)
constraint: from(mark(X)) >= from(X)
constraint: from(active(X)) >= from(X)
constraint: Marked_from(active(X)) >= Marked_from(X)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] active(and(true,X)) -> mark(X)
[2] active(and(false,Y)) -> mark(false)
[3] active(if(true,X,Y)) -> mark(X)
[4] active(if(false,X,Y)) -> mark(Y)
[5] active(add(0,X)) -> mark(X)
[6] active(add(s(X),Y)) -> mark(s(add(X,Y)))
[7] active(first(0,X)) -> mark(nil)
[8] active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z)))
[9] active(from(X)) -> mark(cons(X,from(s(X))))
[10] mark(and(X1,X2)) -> active(and(mark(X1),X2))
[11] mark(true) -> active(true)
[12] mark(false) -> active(false)
[13] mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
[14] mark(add(X1,X2)) -> active(add(mark(X1),X2))
[15] mark(0) -> active(0)
[16] mark(s(X)) -> active(s(X))
[17] mark(first(X1,X2)) -> active(first(mark(X1),mark(X2)))
[18] mark(nil) -> active(nil)
[19] mark(cons(X1,X2)) -> active(cons(X1,X2))
[20] mark(from(X)) -> active(from(X))
[21] and(mark(X1),X2) -> and(X1,X2)
[22] and(X1,mark(X2)) -> and(X1,X2)
[23] and(active(X1),X2) -> and(X1,X2)
[24] and(X1,active(X2)) -> and(X1,X2)
[25] if(mark(X1),X2,X3) -> if(X1,X2,X3)
[26] if(X1,mark(X2),X3) -> if(X1,X2,X3)
[27] if(X1,X2,mark(X3)) -> if(X1,X2,X3)
[28] if(active(X1),X2,X3) -> if(X1,X2,X3)
[29] if(X1,active(X2),X3) -> if(X1,X2,X3)
[30] if(X1,X2,active(X3)) -> if(X1,X2,X3)
[31] add(mark(X1),X2) -> add(X1,X2)
[32] add(X1,mark(X2)) -> add(X1,X2)
[33] add(active(X1),X2) -> add(X1,X2)
[34] add(X1,active(X2)) -> add(X1,X2)
[35] s(mark(X)) -> s(X)
[36] s(active(X)) -> s(X)
[37] first(mark(X1),X2) -> first(X1,X2)
[38] first(X1,mark(X2)) -> first(X1,X2)
[39] first(active(X1),X2) -> first(X1,X2)
[40] first(X1,active(X2)) -> first(X1,X2)
[41] cons(mark(X1),X2) -> cons(X1,X2)
[42] cons(X1,mark(X2)) -> cons(X1,X2)
[43] cons(active(X1),X2) -> cons(X1,X2)
[44] cons(X1,active(X2)) -> cons(X1,X2)
[45] from(mark(X)) -> from(X)
[46] from(active(X)) -> from(X)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(and(false,Y)) , Marked_mark(false)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(if(false,X,Y)) , Marked_mark(Y)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(add(s(X),Y)) , Marked_s(add(X,Y))>
<Marked_active(add(s(X),Y)) , Marked_add(X,Y)>
<Marked_active(first(0,X)) , Marked_mark(nil)>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_cons(Y,first(X,Z))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_first(X,Z)>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_active(from(X)) , Marked_cons(X,from(s(X)))>
<Marked_active(from(X)) , Marked_from(s(X))>
<Marked_active(from(X)) , Marked_s(X)>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_and(mark(X1),X2)>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(true) , Marked_active(true)>
<Marked_mark(false) , Marked_active(false)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_if(mark(X1),X2,X3)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_add(mark(X1),X2)>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(0) , Marked_active(0)>
<Marked_mark(s(X)) , Marked_active(s(X))>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_first(mark(X1),mark(X2))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(nil) , Marked_active(nil)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
<Marked_mark(from(X)) , Marked_active(from(X))>
<Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
<Marked_and(active(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,active(X2)) , Marked_and(X1,X2)>
<Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
<Marked_add(mark(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,mark(X2)) , Marked_add(X1,X2)>
<Marked_add(active(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_first(mark(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,mark(X2)) , Marked_first(X1,X2)>
<Marked_first(active(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,mark(X2)) , Marked_cons(X1,X2)>
<Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
<Marked_from(mark(X)) , Marked_from(X)>
<Marked_from(active(X)) , Marked_from(X)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(if(false,X,Y)) , Marked_mark(Y)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(X))>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
<Marked_mark(from(X)) , Marked_active(from(X))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0; 
 [ s ] (X0) = 0; 
 [ false ] () = 1; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 3*X1 + 2*X0; 
 [ first ] (X0,X1) = 1*X1 + 2*X0; 
 [ add ] (X0,X1) = 3*X1 + 2*X0; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 2*X0; 
 [ Marked_active ] (X0) = 1*X0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_active(if(false,X,Y)),Marked_mark(Y)>
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(X))>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
<Marked_mark(from(X)) , Marked_active(from(X))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(s(X)) , Marked_active(s(X))>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(X1,X2))>
<Marked_mark(from(X)) , Marked_active(from(X))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ Marked_mark ] (X0) = 2; 
 [ from ] (X0) = 1; 
 [ and ] (X0,X1) = 1; 
 [ first ] (X0,X1) = 1; 
 [ add ] (X0,X1) = 1; 
 [ active ] (X0) = 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 1; 
 [ Marked_active ] (X0) = 2*X0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_mark(s(X)),Marked_active(s(X))><Marked_mark(cons(X1,X2)),
Marked_active(cons(X1,X2))>
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(from(X)) , Marked_active(from(X))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_active(and(true,X)) , Marked_mark(X)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(add(0,X)) , Marked_mark(X)>
<Marked_active(add(s(X),Y)) , Marked_mark(s(add(X,Y)))>
<Marked_active(first(s(X),cons(Y,Z))) , Marked_mark(cons(Y,first(X,Z)))>
<Marked_active(from(X)) , Marked_mark(cons(X,from(s(X))))>
<Marked_mark(and(X1,X2)) , Marked_active(and(mark(X1),X2))>
<Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),X2,X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_active(add(mark(X1),X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_active(first(mark(X1),mark(X2)))>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
<Marked_mark(from(X)) , Marked_active(from(X))>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 1*X0; 
 [ s ] (X0) = 2; 
 [ false ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0 + 2; 
 [ from ] (X0) = 2; 
 [ and ] (X0,X1) = 2*X1 + 1*X0; 
 [ first ] (X0,X1) = 1*X1 + 1*X0; 
 [ add ] (X0,X1) = 2*X1 + 2*X0; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 1*X2 + 1*X1 + 1*X0; 
 [ Marked_active ] (X0) = 2*X0; 
 [ true ] () = 2; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 2; 
 removing <Marked_active(and(true,X)),Marked_mark(X)><Marked_active(if(
                                                                    true,
                                                                    X,
                                                                    Y)),
Marked_mark(X)><Marked_active(add(0,X)),Marked_mark(X)><Marked_active(
                                                         add(s(X),Y)),
Marked_mark(s(add(X,Y)))><Marked_active(first(s(X),cons(Y,Z))),Marked_mark(
                                                                cons(
                                                                 Y,first(X,Z)))><
Marked_active(from(X)),Marked_mark(cons(X,from(s(X))))><Marked_mark(and(X1,X2)),
Marked_active(and(mark(X1),X2))><Marked_mark(if(X1,X2,X3)),Marked_active(
                                                            if(mark(X1),
                                                             X2,X3))><
Marked_mark(add(X1,X2)),Marked_active(add(mark(X1),X2))><Marked_mark(
                                                          first(X1,X2)),
Marked_active(first(mark(X1),mark(X2)))><Marked_mark(from(X)),Marked_active(
                                                               from(X))>
 [ {
      
     DP termination of:
     <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ Marked_mark ] (X0) = 3*X0; 
 [ from ] (X0) = 2*X0; 
 [ and ] (X0,X1) = 2*X1 + 2*X0; 
 [ first ] (X0,X1) = 1*X1 + 2*X0; 
 [ add ] (X0,X1) = 2*X1 + 1*X0 + 2; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 1; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1*X0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 2; 
 removing <Marked_mark(add(X1,X2)),Marked_mark(X1)>
 [ {
      
     DP termination of:
     <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(and(X1,X2)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ Marked_mark ] (X0) = 3*X0; 
 [ from ] (X0) = 2*X0 + 2; 
 [ and ] (X0,X1) = 2*X1 + 1*X0 + 2; 
 [ first ] (X0,X1) = 1*X1 + 2*X0; 
 [ add ] (X0,X1) = 3*X1; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1*X0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_mark(and(X1,X2)),Marked_mark(X1)>
 [ {
      
     DP termination of:
     <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0; 
 [ s ] (X0) = 2; 
 [ false ] () = 0; 
 [ Marked_mark ] (X0) = 3*X0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 2*X1 + 2; 
 [ first ] (X0,X1) = 2*X1 + 1*X0; 
 [ add ] (X0,X1) = 3*X1 + 2*X0; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1*X0 + 1; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_mark(if(X1,X2,X3)),Marked_mark(X1)>
 [ {
      
     DP termination of:
     <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(first(X1,X2)) , Marked_mark(X1)>
<Marked_mark(first(X1,X2)) , Marked_mark(X2)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1*X0 + 0; 
 [ s ] (X0) = 1*X0 + 0; 
 [ false ] () = 3 + 0; 
 [ Marked_mark ] (X0) = 3*X0 + 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 3*X0 + 2*X1 + 0; 
 [ first ] (X0,X1) = 1 + 2*X0 + 2*X1 + 0; 
 [ add ] (X0,X1) = 1*X1 + 0; 
 [ active ] (X0) = 1*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X1 + 2*X2 + 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 1*X1 + 0; 
 [ 0 ] () = 1 + 0; 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
<Marked_and(active(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,active(X2)) , Marked_and(X1,X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 3*X0; 
 [ s ] (X0) = 2; 
 [ false ] () = 2; 
 [ from ] (X0) = 1*X0 + 3; 
 [ and ] (X0,X1) = 2*X1 + 3; 
 [ first ] (X0,X1) = 2; 
 [ add ] (X0,X1) = 3*X1 + 2; 
 [ active ] (X0) = 2*X0 + 2; 
 [ nil ] () = 2; 
 [ if ] (X0,X1,X2) = 2*X2 + 3*X1 + 3; 
 [ true ] () = 3; 
 [ Marked_and ] (X0,X1) = 3*X1 + 3*X0; 
 [ cons ] (X0,X1) = 2; 
 [ 0 ] () = 2; 
 removing <Marked_and(active(X1),X2),Marked_and(X1,X2)><Marked_and(X1,
                                                         active(X2)),
Marked_and(X1,X2)>
 [ {
      
     DP termination of:
     <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_and(mark(X1),X2) , Marked_and(X1,X2)>
<Marked_and(X1,mark(X2)) , Marked_and(X1,X2)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 2*X0 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 2 + 0; 
 [ from ] (X0) = 2*X0 + 0; 
 [ and ] (X0,X1) = 3 + 2*X0 + 2*X1 + 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 3 + 3*X0 + 3*X1 + 0; 
 [ active ] (X0) = 1 + 1*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X1 + 2*X2 + 0; 
 [ true ] () = 1 + 0; 
 [ Marked_and ] (X0,X1) = 3*X0 + 3*X1 + 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 0; 
 [ false ] () = 1; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 1*X1 + 2; 
 [ Marked_if ] (X0,X1,X2) = 2*X2; 
 [ first ] (X0,X1) = 3; 
 [ add ] (X0,X1) = 2*X1; 
 [ active ] (X0) = 2*X0 + 1; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_if(X1,X2,mark(X3)),Marked_if(X1,X2,X3)><Marked_if(X1,
                                                           X2,active(X3)),
Marked_if(X1,X2,X3)>
 [ {
      
     DP termination of:
     <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 3; 
 [ false ] () = 3; 
 [ from ] (X0) = 1; 
 [ and ] (X0,X1) = 2*X1 + 3*X0 + 2; 
 [ Marked_if ] (X0,X1,X2) = 3*X1 + 3*X0; 
 [ first ] (X0,X1) = 1*X1 + 1*X0 + 1; 
 [ add ] (X0,X1) = 3*X1 + 2*X0 + 1; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_if(mark(X1),X2,X3),Marked_if(X1,X2,X3)><Marked_if(X1,
                                                           mark(X2),X3),
Marked_if(X1,X2,X3)>
 [ {
      
     DP termination of:
     <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 0; 
 [ Marked_if ] (X0,X1,X2) = 3*X0 + 3*X1 + 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 0; 
 [ active ] (X0) = 1 + 2*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_add(mark(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,mark(X2)) , Marked_add(X1,X2)>
<Marked_add(active(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 0; 
 [ false ] () = 3; 
 [ from ] (X0) = 2*X0 + 1; 
 [ and ] (X0,X1) = 2*X1 + 3*X0 + 2; 
 [ first ] (X0,X1) = 2*X0 + 2; 
 [ add ] (X0,X1) = 2*X1 + 1; 
 [ active ] (X0) = 1*X0; 
 [ Marked_add ] (X0,X1) = 3*X1 + 3*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 2; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 2; 
 removing <Marked_add(mark(X1),X2),Marked_add(X1,X2)><Marked_add(X1,mark(X2)),
Marked_add(X1,X2)>
 [ {
      
     DP termination of:
     <Marked_add(active(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_add(active(X1),X2) , Marked_add(X1,X2)>
<Marked_add(X1,active(X2)) , Marked_add(X1,X2)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 0; 
 [ active ] (X0) = 1 + 2*X0 + 0; 
 [ Marked_add ] (X0,X1) = 3*X0 + 3*X1 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 2*X0 + 0; 
 [ Marked_s ] (X0) = 3*X0 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 1 + 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 2 + 2*X1 + 0; 
 [ first ] (X0,X1) = 2 + 0; 
 [ add ] (X0,X1) = 3*X1 + 0; 
 [ active ] (X0) = 1 + 2*X0 + 0; 
 [ nil ] () = 1 + 0; 
 [ if ] (X0,X1,X2) = 2*X1 + 2*X2 + 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 ]} 
{
 
DP termination of:
<Marked_first(mark(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,mark(X2)) , Marked_first(X1,X2)>
<Marked_first(active(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 2*X0 + 1; 
 [ and ] (X0,X1) = 2*X1 + 1; 
 [ first ] (X0,X1) = 2; 
 [ add ] (X0,X1) = 3*X1 + 2; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1; 
 [ true ] () = 1; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 2; 
 [ Marked_first ] (X0,X1) = 3*X1 + 3*X0; 
 removing <Marked_first(mark(X1),X2),Marked_first(X1,X2)><Marked_first(
                                                           X1,mark(X2)),
Marked_first(X1,X2)>
 [ {
      
     DP termination of:
     <Marked_first(active(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_first(active(X1),X2) , Marked_first(X1,X2)>
<Marked_first(X1,active(X2)) , Marked_first(X1,X2)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 0; 
 [ active ] (X0) = 1 + 2*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 [ Marked_first ] (X0,X1) = 3*X0 + 3*X1 + 0; 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,mark(X2)) , Marked_cons(X1,X2)>
<Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 2*X0 + 1; 
 [ and ] (X0,X1) = 2*X1 + 1; 
 [ first ] (X0,X1) = 1; 
 [ add ] (X0,X1) = 2*X1 + 2; 
 [ Marked_cons ] (X0,X1) = 3*X1 + 3*X0; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 2; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 removing <Marked_cons(mark(X1),X2),Marked_cons(X1,X2)><Marked_cons(X1,
                                                         mark(X2)),Marked_cons(
                                                                    X1,
                                                                    X2)>
 [ {
      
     DP termination of:
     <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 0; 
 [ and ] (X0,X1) = 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 0; 
 [ Marked_cons ] (X0,X1) = 3*X0 + 3*X1 + 0; 
 [ active ] (X0) = 1 + 2*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_from(mark(X)) , Marked_from(X)>
<Marked_from(active(X)) , Marked_from(X)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ mark ] (X0) = 2*X0 + 1; 
 [ s ] (X0) = 2; 
 [ false ] () = 3; 
 [ from ] (X0) = 1; 
 [ and ] (X0,X1) = 2*X1 + 3*X0 + 2; 
 [ first ] (X0,X1) = 1*X1 + 2*X0 + 2; 
 [ add ] (X0,X1) = 2*X1 + 2*X0 + 1; 
 [ active ] (X0) = 1*X0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1; 
 [ Marked_from ] (X0) = 3*X0; 
 [ true ] () = 0; 
 [ cons ] (X0,X1) = 0; 
 [ 0 ] () = 2; 
 removing <Marked_from(mark(X)),Marked_from(X)>
 [ {
      
     DP termination of:
     <Marked_from(active(X)) , Marked_from(X)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_from(active(X)) , Marked_from(X)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ mark ] (X0) = 1 + 2*X0 + 0; 
 [ s ] (X0) = 0; 
 [ false ] () = 0; 
 [ from ] (X0) = 2*X0 + 0; 
 [ and ] (X0,X1) = 2*X1 + 0; 
 [ first ] (X0,X1) = 0; 
 [ add ] (X0,X1) = 2*X1 + 0; 
 [ active ] (X0) = 1 + 1*X0 + 0; 
 [ nil ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X1 + 2*X2 + 0; 
 [ Marked_from ] (X0) = 3*X0 + 0; 
 [ true ] () = 1 + 0; 
 [ cons ] (X0,X1) = 1*X1 + 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 3.259725 seconds (real time)
Cime Exit Status: 0