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

TRS termination of:
[1] fib(N) -> sel(N,fib1(s(0),s(0)))
[2] fib1(X,Y) -> cons(X,fib1(Y,add(X,Y)))
[3] add(0,X) -> X
[4] add(s(X),Y) -> s(add(X,Y))
[5] sel(0,cons(X,XS)) -> X
[6] sel(s(N),cons(X,XS)) -> sel(N,XS)


Sub problem: 
guided: 

DP termination of:
<Marked_fib(N) , Marked_sel(N,fib1(s(0),s(0)))>
<Marked_fib(N) , Marked_fib1(s(0),s(0))>
<Marked_fib1(X,Y) , Marked_fib1(Y,add(X,Y))>
<Marked_fib1(X,Y) , Marked_add(X,Y)>
<Marked_add(s(X),Y) , Marked_add(X,Y)>
<Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,XS)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_fib1(X,Y) , Marked_fib1(Y,add(X,Y))> 
      --> <Marked_fib1(X,Y) , Marked_fib1(Y,add(X,Y))>
}

{  <Marked_add(s(X),Y) , Marked_add(X,Y)> 
      --> <Marked_add(s(X),Y) , Marked_add(X,Y)>
}

{  <Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,XS)> 
      --> <Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,XS)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  sel(s(N),cons(X,XS)) >= sel(N,XS) ;
  sel(0,cons(X,XS)) >= X ;
  fib1(X,Y) >= cons(X,fib1(Y,add(X,Y))) ;
  fib(N) >= sel(N,fib1(s(0),s(0))) ;
  add(s(X),Y) >= s(add(X,Y)) ;
  add(0,X) >= X ;
  Marked_fib1(X,Y) >= Marked_fib1(Y,add(X,Y)) ;
 }
 + Disjunctions:{ 
{
  Marked_fib1(X,Y) > Marked_fib1(Y,add(X,Y)) ;
 }
 } 
=== 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 : 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 0.512152 seconds (real time)
Cime Exit Status: 0