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

TRS termination of:
[1] h(x,x) -> h(a,b)
[2] g(g(x,a),y) -> g(g(a,y),g(a,x))
[3] f(g(x,y)) -> g(g(f(f(y)),h(a,a)),x)
[4] h(h(f(f(x)),y),h(z,v)) -> h(h(f(z),f(f(f(y)))),h(v,x))


Sub problem: 
guided: 

DP termination of:
<Marked_h(x,x) , Marked_h(a,b)>
<Marked_g(g(x,a),y) , Marked_g(g(a,y),g(a,x))>
<Marked_g(g(x,a),y) , Marked_g(a,y)>
<Marked_g(g(x,a),y) , Marked_g(a,x)>
<Marked_f(g(x,y)) , Marked_g(g(f(f(y)),h(a,a)),x)>
<Marked_f(g(x,y)) , Marked_g(f(f(y)),h(a,a))>
<Marked_f(g(x,y)) , Marked_f(f(y))>
<Marked_f(g(x,y)) , Marked_f(y)>
<Marked_f(g(x,y)) , Marked_h(a,a)>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_f(z)>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_f(f(f(y)))>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_f(f(y))>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_f(y)>
<Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 4 components:

{  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)> 
      --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(v,x)>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(f(z),f(f(f(y))))>
  <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))> 
     --> <Marked_h(h(f(f(x)),y),h(z,v)) , Marked_h(h(f(z),f(f(f(y)))),h(v,x))>
}

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

{  <Marked_g(g(x,a),y) , Marked_g(g(a,y),g(a,x))> 
      --> <Marked_g(g(x,a),y) , Marked_g(g(a,y),g(a,x))>
}

{  <Marked_h(x,x) , Marked_h(a,b)> --> <Marked_h(x,x) , Marked_h(a,b)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  h(h(f(f(x)),y),h(z,v)) >= h(h(f(z),f(f(f(y)))),h(v,x)) ;
  h(x,x) >= h(a,b) ;
  g(g(x,a),y) >= g(g(a,y),g(a,x)) ;
  f(g(x,y)) >= g(g(f(f(y)),h(a,a)),x) ;
  Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(h(f(z),f(f(f(y)))),h(v,x)) ;
  Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(f(z),f(f(f(y)))) ;
  Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(v,x) ;
 }
 + Disjunctions:{ 
{
  Marked_h(h(f(f(x)),y),h(z,v)) > Marked_h(h(f(z),f(f(f(y)))),h(v,x)) ;
 }
{
  Marked_h(h(f(f(x)),y),h(z,v)) > Marked_h(f(z),f(f(f(y)))) ;
 }
{
  Marked_h(h(f(f(x)),y),h(z,v)) > Marked_h(v,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: h(h(f(f(x)),y),h(z,v)) >= h(h(f(z),f(f(f(y)))),h(v,x))
constraint: h(x,x) >= h(a,b)
constraint: g(g(x,a),y) >= g(g(a,y),g(a,x))
constraint: f(g(x,y)) >= g(g(f(f(y)),h(a,a)),x)
constraint: Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(h(f(z),f(f(f(y)))),
                                              h(v,x))
constraint: Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(f(z),f(f(f(y))))
constraint: Marked_h(h(f(f(x)),y),h(z,v)) >= Marked_h(v,x)
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  h(h(f(f(x)),y),h(z,v)) >= h(h(f(z),f(f(f(y)))),h(v,x)) ;
  h(x,x) >= h(a,b) ;
  g(g(x,a),y) >= g(g(a,y),g(a,x)) ;
  f(g(x,y)) >= g(g(f(f(y)),h(a,a)),x) ;
  Marked_f(g(x,y)) >= Marked_f(f(y)) ;
  Marked_f(g(x,y)) >= Marked_f(y) ;
 }
 + Disjunctions:{ 
{
  Marked_f(g(x,y)) > Marked_f(f(y)) ;
 }
{
  Marked_f(g(x,y)) > Marked_f(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 : 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:
{
  h(h(f(f(x)),y),h(z,v)) >= h(h(f(z),f(f(f(y)))),h(v,x)) ;
  h(x,x) >= h(a,b) ;
  g(g(x,a),y) >= g(g(a,y),g(a,x)) ;
  f(g(x,y)) >= g(g(f(f(y)),h(a,a)),x) ;
  Marked_f(g(x,y)) > Marked_f(f(y)) ;
  Marked_f(g(x,y)) > Marked_f(y) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  h(h(f(f(x)),y),h(z,v)) >= h(h(f(z),f(f(f(y)))),h(v,x)) ;
  h(x,x) >= h(a,b) ;
  g(g(x,a),y) >= g(g(a,y),g(a,x)) ;
  f(g(x,y)) >= g(g(f(f(y)),h(a,a)),x) ;
  Marked_f(g(x,y)) > Marked_f(f(y)) ;
  Marked_f(g(x,y)) > Marked_f(y) ;
 }
 + 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.(44 bt (38) [17])
=== 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 7.997586 seconds (real time)
Cime Exit Status: 0