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

TRS termination of:
[1] f(f(x)) -> f(c(f(x)))
[2] f(f(x)) -> f(d(f(x)))
[3] g(c(x)) -> x
[4] g(d(x)) -> x
[5] g(c(h(0))) -> g(d(1))
[6] g(c(1)) -> g(d(h(0)))
[7] g(h(x)) -> g(x)


Sub problem: 
guided: 

DP termination of:
<Marked_f(f(x)) , Marked_f(c(f(x)))>
<Marked_f(f(x)) , Marked_f(d(f(x)))>
<Marked_g(c(h(0))) , Marked_g(d(1))>
<Marked_g(c(1)) , Marked_g(d(h(0)))>
<Marked_g(h(x)) , Marked_g(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_g(h(x)) , Marked_g(x)> --> <Marked_g(h(x)) , Marked_g(x)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_g -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] f(f(x)) -> f(c(f(x)))
[2] f(f(x)) -> f(d(f(x)))
[3] g(c(x)) -> x
[4] g(d(x)) -> x
[5] g(c(h(0))) -> g(d(1))
[6] g(c(1)) -> g(d(h(0)))
[7] g(h(x)) -> g(x)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_f(f(x)) , Marked_f(c(f(x)))>
<Marked_f(f(x)) , Marked_f(d(f(x)))>
<Marked_g(c(h(0))) , Marked_g(d(1))>
<Marked_g(c(1)) , Marked_g(d(h(0)))>
<Marked_g(h(x)) , Marked_g(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_g(h(x)) , Marked_g(x)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.005117 seconds (real time)
Cime Exit Status: 0