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

TRS termination of:
[1] g(x,0) -> 0
[2] g(d,s(x)) -> s(s(g(d,x)))
[3] g(h,s(0)) -> 0
[4] g(h,s(s(x))) -> s(g(h,x))
[5] double(x) -> g(d,x)
[6] half(x) -> g(h,x)
[7] f(s(x),y) -> f(half(s(x)),double(y))
[8] f(s(0),y) -> y
[9] id(x) -> f(x,s(0))


Sub problem: 
guided: 

DP termination of:
<Marked_g(d,s(x)) , Marked_g(d,x)>
<Marked_g(h,s(s(x))) , Marked_g(h,x)>
<Marked_double(x) , Marked_g(d,x)>
<Marked_half(x) , Marked_g(h,x)>
<Marked_f(s(x),y) , Marked_f(half(s(x)),double(y))>
<Marked_f(s(x),y) , Marked_half(s(x))>
<Marked_f(s(x),y) , Marked_double(y)>
<Marked_id(x) , Marked_f(x,s(0))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_f(s(x),y) , Marked_f(half(s(x)),double(y))> 
      --> <Marked_f(s(x),y) , Marked_f(half(s(x)),double(y))>
}

{  <Marked_g(h,s(s(x))) , Marked_g(h,x)> 
      --> <Marked_g(h,s(s(x))) , Marked_g(h,x)>
}

{  <Marked_g(d,s(x)) , Marked_g(d,x)> --> <Marked_g(d,s(x)) , Marked_g(d,x)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  g(d,s(x)) >= s(s(g(d,x))) ;
  g(h,s(0)) >= 0 ;
  g(h,s(s(x))) >= s(g(h,x)) ;
  g(x,0) >= 0 ;
  double(x) >= g(d,x) ;
  half(x) >= g(h,x) ;
  f(s(0),y) >= y ;
  f(s(x),y) >= f(half(s(x)),double(y)) ;
  id(x) >= f(x,s(0)) ;
  Marked_f(s(x),y) >= Marked_f(half(s(x)),double(y)) ;
 }
 + Disjunctions:{ 
{
  Marked_f(s(x),y) > Marked_f(half(s(x)),double(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 1.379379 seconds (real time)
Cime Exit Status: 0