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

TRS termination of:
[1] a(a(y,0),0) -> y
[2] c(c(y)) -> y
[3] c(a(c(c(y)),x)) -> a(c(c(c(a(x,0)))),y)


Sub problem: 
guided: 

DP termination of:
<Marked_c(a(c(c(y)),x)) , Marked_a(c(c(c(a(x,0)))),y)>
<Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))>
<Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))>
<Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))>
<Marked_c(a(c(c(y)),x)) , Marked_a(x,0)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))> 
      --> <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(a(x,0))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(a(x,0)))>
  <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))> 
     --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a(a(y,0),0) >= y ;
  c(a(c(c(y)),x)) >= a(c(c(c(a(x,0)))),y) ;
  c(c(y)) >= y ;
  Marked_c(a(c(c(y)),x)) >= Marked_c(a(x,0)) ;
  Marked_c(a(c(c(y)),x)) >= Marked_c(c(a(x,0))) ;
  Marked_c(a(c(c(y)),x)) >= Marked_c(c(c(a(x,0)))) ;
 }
 + Disjunctions:{ 
{
  Marked_c(a(c(c(y)),x)) > Marked_c(a(x,0)) ;
 }
{
  Marked_c(a(c(c(y)),x)) > Marked_c(c(a(x,0))) ;
 }
{
  Marked_c(a(c(c(y)),x)) > Marked_c(c(c(a(x,0)))) ;
 }
 } 
=== 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: a(a(y,0),0) >= y
constraint: c(a(c(c(y)),x)) >= a(c(c(c(a(x,0)))),y)
constraint: c(c(y)) >= y
constraint: Marked_c(a(c(c(y)),x)) >= Marked_c(a(x,0))
constraint: Marked_c(a(c(c(y)),x)) >= Marked_c(c(a(x,0)))
constraint: Marked_c(a(c(c(y)),x)) >= Marked_c(c(c(a(x,0))))
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))> 
      --> <Marked_c(a(c(c(y)),x)) , Marked_c(c(c(a(x,0))))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a(a(y,0),0) >= y ;
  c(a(c(c(y)),x)) >= a(c(c(c(a(x,0)))),y) ;
  c(c(y)) >= y ;
  Marked_c(a(c(c(y)),x)) >= Marked_c(c(c(a(x,0)))) ;
 }
 + Disjunctions:{ 
{
  Marked_c(a(c(c(y)),x)) > Marked_c(c(c(a(x,0)))) ;
 }
 } 
=== 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 29.259585 seconds (real time)
Cime Exit Status: 0