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

TRS termination of:
[1] h(e(x),y) -> h(d(x,y),s(y))
[2] d(g(g(0,x),y),s(z)) -> g(e(x),d(g(g(0,x),y),z))
[3] d(g(g(0,x),y),0) -> e(y)
[4] d(g(0,x),y) -> e(x)
[5] d(g(x,y),z) -> g(d(x,z),e(y))
[6] g(e(x),e(y)) -> e(g(x,y))


Sub problem: 
guided: 

DP termination of:
<Marked_h(e(x),y) , Marked_h(d(x,y),s(y))>
<Marked_h(e(x),y) , Marked_d(x,y)>
<Marked_d(g(g(0,x),y),s(z)) , Marked_g(e(x),d(g(g(0,x),y),z))>
<Marked_d(g(g(0,x),y),s(z)) , Marked_d(g(g(0,x),y),z)>
<Marked_d(g(x,y),z) , Marked_g(d(x,z),e(y))>
<Marked_d(g(x,y),z) , Marked_d(x,z)>
<Marked_g(e(x),e(y)) , Marked_g(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_h(e(x),y) , Marked_h(d(x,y),s(y))> 
      --> <Marked_h(e(x),y) , Marked_h(d(x,y),s(y))>
}

{  <Marked_d(g(x,y),z) , Marked_d(x,z)> 
      --> <Marked_d(g(x,y),z) , Marked_d(x,z)>
  <Marked_d(g(x,y),z) , Marked_d(x,z)> 
     --> <Marked_d(g(g(0,x),y),s(z)) , Marked_d(g(g(0,x),y),z)>
  <Marked_d(g(g(0,x),y),s(z)) , Marked_d(g(g(0,x),y),z)> 
     --> <Marked_d(g(x,y),z) , Marked_d(x,z)>
  <Marked_d(g(g(0,x),y),s(z)) , Marked_d(g(g(0,x),y),z)> 
     --> <Marked_d(g(g(0,x),y),s(z)) , Marked_d(g(g(0,x),y),z)>
}

{  <Marked_g(e(x),e(y)) , Marked_g(x,y)> 
      --> <Marked_g(e(x),e(y)) , Marked_g(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  h(e(x),y) >= h(d(x,y),s(y)) ;
  d(g(g(0,x),y),s(z)) >= g(e(x),d(g(g(0,x),y),z)) ;
  d(g(g(0,x),y),0) >= e(y) ;
  d(g(0,x),y) >= e(x) ;
  d(g(x,y),z) >= g(d(x,z),e(y)) ;
  g(e(x),e(y)) >= e(g(x,y)) ;
  Marked_h(e(x),y) >= Marked_h(d(x,y),s(y)) ;
 }
 + Disjunctions:{ 
{
  Marked_h(e(x),y) > Marked_h(d(x,y),s(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 (Simple graph)
Found the following constraints:
{
  h(e(x),y) >= h(d(x,y),s(y)) ;
  d(g(g(0,x),y),s(z)) >= g(e(x),d(g(g(0,x),y),z)) ;
  d(g(g(0,x),y),0) >= e(y) ;
  d(g(0,x),y) >= e(x) ;
  d(g(x,y),z) >= g(d(x,z),e(y)) ;
  g(e(x),e(y)) >= e(g(x,y)) ;
  Marked_h(e(x),y) > Marked_h(d(x,y),s(y)) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  h(e(x),y) >= h(d(x,y),s(y)) ;
  d(g(g(0,x),y),s(z)) >= g(e(x),d(g(g(0,x),y),z)) ;
  d(g(g(0,x),y),0) >= e(y) ;
  d(g(0,x),y) >= e(x) ;
  d(g(x,y),z) >= g(d(x,z),e(y)) ;
  g(e(x),e(y)) >= e(g(x,y)) ;
  Marked_h(e(x),y) > Marked_h(d(x,y),s(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.(642 bt (628) [98])
=== 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 33.522529 seconds (real time)
Cime Exit Status: 0