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

TRS termination of:
[1] g(x,x) -> g(a,b)
[2] g(c,g(c,x)) -> g(e,g(d,x))
[3] g(d,g(d,x)) -> g(c,g(e,x))
[4] g(e,g(e,x)) -> g(d,g(c,x))
[5] f(g(x,y)) -> g(y,g(f(f(x)),a))


Sub problem: 
guided: 

DP termination of:
<Marked_g(x,x) , Marked_g(a,b)>
<Marked_g(c,g(c,x)) , Marked_g(e,g(d,x))>
<Marked_g(c,g(c,x)) , Marked_g(d,x)>
<Marked_g(d,g(d,x)) , Marked_g(c,g(e,x))>
<Marked_g(d,g(d,x)) , Marked_g(e,x)>
<Marked_g(e,g(e,x)) , Marked_g(d,g(c,x))>
<Marked_g(e,g(e,x)) , Marked_g(c,x)>
<Marked_f(g(x,y)) , Marked_g(y,g(f(f(x)),a))>
<Marked_f(g(x,y)) , Marked_g(f(f(x)),a)>
<Marked_f(g(x,y)) , Marked_f(f(x))>
<Marked_f(g(x,y)) , Marked_f(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_f(g(x,y)) , Marked_f(x)> --> <Marked_f(g(x,y)) , Marked_f(x)>
  <Marked_f(g(x,y)) , Marked_f(x)> --> <Marked_f(g(x,y)) , Marked_f(f(x))>
  <Marked_f(g(x,y)) , Marked_f(f(x))> --> <Marked_f(g(x,y)) , Marked_f(x)>
  <Marked_f(g(x,y)) , Marked_f(f(x))> --> <Marked_f(g(x,y)) , Marked_f(f(x))>
}

{  <Marked_g(e,g(e,x)) , Marked_g(c,x)> 
      --> <Marked_g(c,g(c,x)) , Marked_g(d,x)>
  <Marked_g(e,g(e,x)) , Marked_g(c,x)> 
     --> <Marked_g(c,g(c,x)) , Marked_g(e,g(d,x))>
  <Marked_g(e,g(e,x)) , Marked_g(d,g(c,x))> 
     --> <Marked_g(d,g(d,x)) , Marked_g(e,x)>
  <Marked_g(e,g(e,x)) , Marked_g(d,g(c,x))> 
     --> <Marked_g(d,g(d,x)) , Marked_g(c,g(e,x))>
  <Marked_g(d,g(d,x)) , Marked_g(e,x)> --> <Marked_g(e,g(e,x)) , Marked_g(c,x)>
  <Marked_g(d,g(d,x)) , Marked_g(e,x)> 
     --> <Marked_g(e,g(e,x)) , Marked_g(d,g(c,x))>
  <Marked_g(d,g(d,x)) , Marked_g(c,g(e,x))> 
     --> <Marked_g(c,g(c,x)) , Marked_g(d,x)>
  <Marked_g(d,g(d,x)) , Marked_g(c,g(e,x))> 
     --> <Marked_g(c,g(c,x)) , Marked_g(e,g(d,x))>
  <Marked_g(c,g(c,x)) , Marked_g(d,x)> --> <Marked_g(d,g(d,x)) , Marked_g(e,x)>
  <Marked_g(c,g(c,x)) , Marked_g(d,x)> 
     --> <Marked_g(d,g(d,x)) , Marked_g(c,g(e,x))>
  <Marked_g(c,g(c,x)) , Marked_g(e,g(d,x))> 
     --> <Marked_g(e,g(e,x)) , Marked_g(c,x)>
  <Marked_g(c,g(c,x)) , Marked_g(e,g(d,x))> 
     --> <Marked_g(e,g(e,x)) , Marked_g(d,g(c,x))>
}

{  <Marked_g(x,x) , Marked_g(a,b)> --> <Marked_g(x,x) , Marked_g(a,b)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  g(e,g(e,x)) >= g(d,g(c,x)) ;
  g(d,g(d,x)) >= g(c,g(e,x)) ;
  g(c,g(c,x)) >= g(e,g(d,x)) ;
  g(x,x) >= g(a,b) ;
  f(g(x,y)) >= g(y,g(f(f(x)),a)) ;
  Marked_f(g(x,y)) >= Marked_f(f(x)) ;
  Marked_f(g(x,y)) >= Marked_f(x) ;
 }
 + Disjunctions:{ 
{
  Marked_f(g(x,y)) > Marked_f(f(x)) ;
 }
{
  Marked_f(g(x,y)) > Marked_f(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
=== 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 : 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 (Simple graph)
Found the following constraints:
{
  g(e,g(e,x)) >= g(d,g(c,x)) ;
  g(d,g(d,x)) >= g(c,g(e,x)) ;
  g(c,g(c,x)) >= g(e,g(d,x)) ;
  g(x,x) >= g(a,b) ;
  f(g(x,y)) >= g(y,g(f(f(x)),a)) ;
  Marked_f(g(x,y)) > Marked_f(f(x)) ;
  Marked_f(g(x,y)) > Marked_f(x) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  g(e,g(e,x)) >= g(d,g(c,x)) ;
  g(d,g(d,x)) >= g(c,g(e,x)) ;
  g(c,g(c,x)) >= g(e,g(d,x)) ;
  g(x,x) >= g(a,b) ;
  f(g(x,y)) >= g(y,g(f(f(x)),a)) ;
  Marked_f(g(x,y)) > Marked_f(f(x)) ;
  Marked_f(g(x,y)) > Marked_f(x) ;
 }
 + Disjunctions:{ 
 } 
=== 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 ===
No solution found for these parameters.(16 bt (12) [9])
=== 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 12.019704 seconds (real time)
Cime Exit Status: 0