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

TRS termination of:
[1] f(f(a,a),x) -> f(a,f(b,f(a,x)))
[2] f(x,f(y,z)) -> f(f(x,y),z)


Sub problem: 
guided: 

DP termination of:
<Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
<Marked_f(f(a,a),x) , Marked_f(b,f(a,x))>
<Marked_f(f(a,a),x) , Marked_f(a,x)>
<Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
<Marked_f(x,f(y,z)) , Marked_f(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
      --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> --> <Marked_f(f(a,a),x) , Marked_f(a,x)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(f(a,a),x) , Marked_f(b,f(a,x))>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,x)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(b,f(a,x))>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(f(a,a),x) , Marked_f(a,x)> --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(a,x)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(f(a,a),x) , Marked_f(b,f(a,x))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(b,f(a,x))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(f(a,a),x) >= f(a,f(b,f(a,x))) ;
  f(x,f(y,z)) >= f(f(x,y),z) ;
  Marked_f(f(a,a),x) >= Marked_f(a,f(b,f(a,x))) ;
  Marked_f(f(a,a),x) >= Marked_f(a,x) ;
  Marked_f(f(a,a),x) >= Marked_f(b,f(a,x)) ;
  Marked_f(x,f(y,z)) >= Marked_f(f(x,y),z) ;
  Marked_f(x,f(y,z)) >= Marked_f(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_f(f(a,a),x) > Marked_f(a,f(b,f(a,x))) ;
 }
{
  Marked_f(f(a,a),x) > Marked_f(a,x) ;
 }
{
  Marked_f(f(a,a),x) > Marked_f(b,f(a,x)) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(f(x,y),z) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: f(f(a,a),x) >= f(a,f(b,f(a,x)))
constraint: f(x,f(y,z)) >= f(f(x,y),z)
constraint: Marked_f(f(a,a),x) >= Marked_f(a,f(b,f(a,x)))
constraint: Marked_f(f(a,a),x) >= Marked_f(a,x)
constraint: Marked_f(f(a,a),x) >= Marked_f(b,f(a,x))
constraint: Marked_f(x,f(y,z)) >= Marked_f(f(x,y),z)
constraint: Marked_f(x,f(y,z)) >= Marked_f(x,y)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
      --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> --> <Marked_f(f(a,a),x) , Marked_f(a,x)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,x)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(f(a,a),x) , Marked_f(a,x)> --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(a,x)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(f(a,a),x) >= f(a,f(b,f(a,x))) ;
  f(x,f(y,z)) >= f(f(x,y),z) ;
  Marked_f(f(a,a),x) >= Marked_f(a,f(b,f(a,x))) ;
  Marked_f(f(a,a),x) >= Marked_f(a,x) ;
  Marked_f(x,f(y,z)) >= Marked_f(f(x,y),z) ;
  Marked_f(x,f(y,z)) >= Marked_f(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_f(f(a,a),x) > Marked_f(a,f(b,f(a,x))) ;
 }
{
  Marked_f(f(a,a),x) > Marked_f(a,x) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(f(x,y),z) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: f(f(a,a),x) >= f(a,f(b,f(a,x)))
constraint: f(x,f(y,z)) >= f(f(x,y),z)
constraint: Marked_f(f(a,a),x) >= Marked_f(a,f(b,f(a,x)))
constraint: Marked_f(f(a,a),x) >= Marked_f(a,x)
constraint: Marked_f(x,f(y,z)) >= Marked_f(f(x,y),z)
constraint: Marked_f(x,f(y,z)) >= Marked_f(x,y)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
      --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(x,y)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
  <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)> 
     --> <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(x,y)>
  <Marked_f(f(a,a),x) , Marked_f(a,f(b,f(a,x)))> 
     --> <Marked_f(x,f(y,z)) , Marked_f(f(x,y),z)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(f(a,a),x) >= f(a,f(b,f(a,x))) ;
  f(x,f(y,z)) >= f(f(x,y),z) ;
  Marked_f(f(a,a),x) >= Marked_f(a,f(b,f(a,x))) ;
  Marked_f(x,f(y,z)) >= Marked_f(f(x,y),z) ;
  Marked_f(x,f(y,z)) >= Marked_f(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_f(f(a,a),x) > Marked_f(a,f(b,f(a,x))) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(f(x,y),z) ;
 }
{
  Marked_f(x,f(y,z)) > Marked_f(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 : 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 4.726254 seconds (real time)
Cime Exit Status: 0