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

TRS termination of:
[1] +(X,0) -> X
[2] +(X,s(Y)) -> s(+(X,Y))
[3] double(X) -> +(X,X)
[4] f(0,s(0),X) -> f(X,double(X),X)
[5] g(X,Y) -> X
[6] g(X,Y) -> Y


Sub problem: 
guided: 

DP termination of:
<Marked_+(X,s(Y)) , Marked_+(X,Y)>
<Marked_double(X) , Marked_+(X,X)>
<Marked_f(0,s(0),X) , Marked_f(X,double(X),X)>
<Marked_f(0,s(0),X) , Marked_double(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_f(0,s(0),X) , Marked_f(X,double(X),X)> 
      --> <Marked_f(0,s(0),X) , Marked_f(X,double(X),X)>
}

{  <Marked_+(X,s(Y)) , Marked_+(X,Y)> --> <Marked_+(X,s(Y)) , Marked_+(X,Y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  +(X,0) >= X ;
  +(X,s(Y)) >= s(+(X,Y)) ;
  double(X) >= +(X,X) ;
  f(0,s(0),X) >= f(X,double(X),X) ;
  g(X,Y) >= X ;
  g(X,Y) >= Y ;
  Marked_f(0,s(0),X) >= Marked_f(X,double(X),X) ;
 }
 + Disjunctions:{ 
{
  Marked_f(0,s(0),X) > Marked_f(X,double(X),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 : 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 0.213049 seconds (real time)
Cime Exit Status: 0