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

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


Sub problem: 
guided: 

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

{  <Marked_h(x,x,y) , Marked_g(x)> --> <Marked_g(a) , Marked_h(a,b,a)>
  <Marked_g(a) , Marked_h(a,b,a)> --> <Marked_h(x,x,y) , Marked_g(x)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(x,y) >= x ;
  h(x,x,y) >= g(x) ;
  g(a) >= h(a,b,a) ;
  i(x) >= f(x,x) ;
  Marked_h(x,x,y) >= Marked_g(x) ;
  Marked_g(a) >= Marked_h(a,b,a) ;
 }
 + Disjunctions:{ 
{
  Marked_h(x,x,y) > Marked_g(x) ;
 }
{
  Marked_g(a) > Marked_h(a,b,a) ;
 }
 } 
=== 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(x,y) >= x
constraint: h(x,x,y) >= g(x)
constraint: g(a) >= h(a,b,a)
constraint: i(x) >= f(x,x)
constraint: Marked_h(x,x,y) >= Marked_g(x)
constraint: Marked_g(a) >= Marked_h(a,b,a)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] f(x,y) -> x
[2] g(a) -> h(a,b,a)
[3] i(x) -> f(x,x)
[4] h(x,x,y) -> g(x)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_g(a) , Marked_h(a,b,a)>
<Marked_i(x) , Marked_f(x,x)>
<Marked_h(x,x,y) , Marked_g(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_g(a) , Marked_h(a,b,a)>
<Marked_h(x,x,y) , Marked_g(x)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ f ] (X0,X1) = 1*X1 + 1*X0 + 2; 
 [ g ] (X0) = 2*X0; 
 [ a ] () = 3; 
 [ Marked_h ] (X0,X1,X2) = 2*X1; 
 [ h ] (X0,X1,X2) = 2*X1; 
 [ i ] (X0) = 2*X0 + 3; 
 [ b ] () = 0; 
 [ Marked_g ] (X0) = 2*X0; 
 removing <Marked_g(a),Marked_h(a,b,a)>
 [ {
      
     DP termination of:
     <Marked_h(x,x,y) , Marked_g(x)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 0.020598 seconds (real time)
Cime Exit Status: 0