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

TRS termination of:
[1] a__fib(N) -> a__sel(mark(N),a__fib1(s(0),s(0)))
[2] a__fib1(X,Y) -> cons(mark(X),fib1(Y,add(X,Y)))
[3] a__add(0,X) -> mark(X)
[4] a__add(s(X),Y) -> s(a__add(mark(X),mark(Y)))
[5] a__sel(0,cons(X,XS)) -> mark(X)
[6] a__sel(s(N),cons(X,XS)) -> a__sel(mark(N),mark(XS))
[7] mark(fib(X)) -> a__fib(mark(X))
[8] mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
[9] mark(fib1(X1,X2)) -> a__fib1(mark(X1),mark(X2))
[10] mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
[11] mark(s(X)) -> s(mark(X))
[12] mark(0) -> 0
[13] mark(cons(X1,X2)) -> cons(mark(X1),X2)
[14] a__fib(X) -> fib(X)
[15] a__sel(X1,X2) -> sel(X1,X2)
[16] a__fib1(X1,X2) -> fib1(X1,X2)
[17] a__add(X1,X2) -> add(X1,X2)


Sub problem: 
guided: 

DP termination of:
<Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))>
<Marked_a__fib(N) , Marked_mark(N)>
<Marked_a__fib(N) , Marked_a__fib1(s(0),s(0))>
<Marked_a__fib1(X,Y) , Marked_mark(X)>
<Marked_a__add(0,X) , Marked_mark(X)>
<Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))>
<Marked_a__add(s(X),Y) , Marked_mark(X)>
<Marked_a__add(s(X),Y) , Marked_mark(Y)>
<Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)>
<Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))>
<Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)>
<Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)>
<Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
<Marked_mark(fib(X)) , Marked_mark(X)>
<Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
<Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
<Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
<Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
<Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
<Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
<Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
<Marked_mark(add(X1,X2)) , Marked_mark(X1)>
<Marked_mark(add(X1,X2)) , Marked_mark(X2)>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
      --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_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_a__add(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))> 
     --> <Marked_a__add(s(X),Y) , Marked_mark(Y)>
  <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))> 
     --> <Marked_a__add(s(X),Y) , Marked_mark(X)>
  <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))> 
     --> <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))>
  <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))> 
     --> <Marked_a__add(0,X) , Marked_mark(X)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))> 
     --> <Marked_a__fib1(X,Y) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)>
  <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)>
  <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))>
  <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))> 
     --> <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_mark(fib(X)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_mark(fib(X)) , Marked_a__fib(mark(X))> 
     --> <Marked_a__fib(N) , Marked_a__fib1(s(0),s(0))>
  <Marked_mark(fib(X)) , Marked_a__fib(mark(X))> 
     --> <Marked_a__fib(N) , Marked_mark(N)>
  <Marked_mark(fib(X)) , Marked_a__fib(mark(X))> 
     --> <Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))>
  <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))> 
     --> <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__add(s(X),Y) , Marked_mark(Y)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__add(s(X),Y) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))> 
     --> <Marked_a__add(s(X),Y) , Marked_mark(Y)>
  <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))> 
     --> <Marked_a__add(s(X),Y) , Marked_mark(X)>
  <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))> 
     --> <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))>
  <Marked_a__add(s(X),Y) , Marked_a__add(mark(X),mark(Y))> 
     --> <Marked_a__add(0,X) , Marked_mark(X)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__add(0,X) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__fib1(X,Y) , Marked_mark(X)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__fib(N) , Marked_a__fib1(s(0),s(0))> 
     --> <Marked_a__fib1(X,Y) , Marked_mark(X)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib(N) , Marked_mark(N)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(add(X1,X2)) , Marked_a__add(mark(X1),mark(X2))>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(fib1(X1,X2)) , Marked_a__fib1(mark(X1),mark(X2))>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_a__sel(mark(X1),mark(X2))>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(fib(X)) , Marked_mark(X)>
  <Marked_a__fib(N) , Marked_mark(N)> 
     --> <Marked_mark(fib(X)) , Marked_a__fib(mark(X))>
  <Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(XS)>
  <Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_mark(N)>
  <Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))> 
     --> <Marked_a__sel(s(N),cons(X,XS)) , Marked_a__sel(mark(N),mark(XS))>
  <Marked_a__fib(N) , Marked_a__sel(mark(N),a__fib1(s(0),s(0)))> 
     --> <Marked_a__sel(0,cons(X,XS)) , Marked_mark(X)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a__sel(s(N),cons(X,XS)) >= a__sel(mark(N),mark(XS)) ;
  a__sel(0,cons(X,XS)) >= mark(X) ;
  a__sel(X1,X2) >= sel(X1,X2) ;
  mark(s(X)) >= s(mark(X)) ;
  mark(0) >= 0 ;
  mark(cons(X1,X2)) >= cons(mark(X1),X2) ;
  mark(fib1(X1,X2)) >= a__fib1(mark(X1),mark(X2)) ;
  mark(add(X1,X2)) >= a__add(mark(X1),mark(X2)) ;
  mark(fib(X)) >= a__fib(mark(X)) ;
  mark(sel(X1,X2)) >= a__sel(mark(X1),mark(X2)) ;
  a__fib1(X,Y) >= cons(mark(X),fib1(Y,add(X,Y))) ;
  a__fib1(X1,X2) >= fib1(X1,X2) ;
  a__fib(N) >= a__sel(mark(N),a__fib1(s(0),s(0))) ;
  a__fib(X) >= fib(X) ;
  a__add(s(X),Y) >= s(a__add(mark(X),mark(Y))) ;
  a__add(0,X) >= mark(X) ;
  a__add(X1,X2) >= add(X1,X2) ;
  Marked_a__add(s(X),Y) >= Marked_a__add(mark(X),mark(Y)) ;
  Marked_a__add(s(X),Y) >= Marked_mark(X) ;
  Marked_a__add(s(X),Y) >= Marked_mark(Y) ;
  Marked_a__add(0,X) >= Marked_mark(X) ;
  Marked_a__fib1(X,Y) >= Marked_mark(X) ;
  Marked_a__sel(s(N),cons(X,XS)) >= Marked_a__sel(mark(N),mark(XS)) ;
  Marked_a__sel(s(N),cons(X,XS)) >= Marked_mark(N) ;
  Marked_a__sel(s(N),cons(X,XS)) >= Marked_mark(XS) ;
  Marked_a__sel(0,cons(X,XS)) >= Marked_mark(X) ;
  Marked_a__fib(N) >= Marked_a__fib1(s(0),s(0)) ;
  Marked_a__fib(N) >= Marked_a__sel(mark(N),a__fib1(s(0),s(0))) ;
  Marked_a__fib(N) >= Marked_mark(N) ;
  Marked_mark(s(X)) >= Marked_mark(X) ;
  Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(fib1(X1,X2)) >= Marked_a__fib1(mark(X1),mark(X2)) ;
  Marked_mark(fib1(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(fib1(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(add(X1,X2)) >= Marked_a__add(mark(X1),mark(X2)) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(add(X1,X2)) >= Marked_mark(X2) ;
  Marked_mark(fib(X)) >= Marked_a__fib(mark(X)) ;
  Marked_mark(fib(X)) >= Marked_mark(X) ;
  Marked_mark(sel(X1,X2)) >= Marked_a__sel(mark(X1),mark(X2)) ;
  Marked_mark(sel(X1,X2)) >= Marked_mark(X1) ;
  Marked_mark(sel(X1,X2)) >= Marked_mark(X2) ;
 }
 + Disjunctions:{ 
{
  Marked_a__add(s(X),Y) > Marked_a__add(mark(X),mark(Y)) ;
 }
{
  Marked_a__add(s(X),Y) > Marked_mark(X) ;
 }
{
  Marked_a__add(s(X),Y) > Marked_mark(Y) ;
 }
{
  Marked_a__add(0,X) > Marked_mark(X) ;
 }
{
  Marked_a__fib1(X,Y) > Marked_mark(X) ;
 }
{
  Marked_a__sel(s(N),cons(X,XS)) > Marked_a__sel(mark(N),mark(XS)) ;
 }
{
  Marked_a__sel(s(N),cons(X,XS)) > Marked_mark(N) ;
 }
{
  Marked_a__sel(s(N),cons(X,XS)) > Marked_mark(XS) ;
 }
{
  Marked_a__sel(0,cons(X,XS)) > Marked_mark(X) ;
 }
{
  Marked_a__fib(N) > Marked_a__fib1(s(0),s(0)) ;
 }
{
  Marked_a__fib(N) > Marked_a__sel(mark(N),a__fib1(s(0),s(0))) ;
 }
{
  Marked_a__fib(N) > Marked_mark(N) ;
 }
{
  Marked_mark(s(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(cons(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(fib1(X1,X2)) > Marked_a__fib1(mark(X1),mark(X2)) ;
 }
{
  Marked_mark(fib1(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(fib1(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_a__add(mark(X1),mark(X2)) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(add(X1,X2)) > Marked_mark(X2) ;
 }
{
  Marked_mark(fib(X)) > Marked_a__fib(mark(X)) ;
 }
{
  Marked_mark(fib(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(sel(X1,X2)) > Marked_a__sel(mark(X1),mark(X2)) ;
 }
{
  Marked_mark(sel(X1,X2)) > Marked_mark(X1) ;
 }
{
  Marked_mark(sel(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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 40.436946 seconds (real time)
Cime Exit Status: 0