- : unit = ()
- : 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 (Subterm criterion)

ST: Marked_g -> 1
Marked_f -> 1

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: ST
 [ {
      
     DP termination of:
     <Marked_f(x,y) , Marked_g(x,y)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 0.003772 seconds (real time)
Cime Exit Status: 0