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

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


Sub problem: 
guided: 

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

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

Cime worked for 0.016126 seconds (real time)
Cime Exit Status: 0