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

TRS termination of:
[1] a__f(f(a)) -> a__f(g(f(a)))
[2] mark(f(X)) -> a__f(mark(X))
[3] mark(a) -> a
[4] mark(g(X)) -> g(X)
[5] a__f(X) -> f(X)


Sub problem: 
guided: 

DP termination of:
<Marked_a__f(f(a)) , Marked_a__f(g(f(a)))>
<Marked_mark(f(X)) , Marked_a__f(mark(X))>
<Marked_mark(f(X)) , Marked_mark(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_mark(f(X)) , Marked_mark(X)> 
      --> <Marked_mark(f(X)) , Marked_mark(X)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_mark -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] a__f(f(a)) -> a__f(g(f(a)))
[2] mark(f(X)) -> a__f(mark(X))
[3] mark(a) -> a
[4] mark(g(X)) -> g(X)
[5] a__f(X) -> f(X)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_a__f(f(a)) , Marked_a__f(g(f(a)))>
<Marked_mark(f(X)) , Marked_a__f(mark(X))>
<Marked_mark(f(X)) , Marked_mark(X)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(f(X)) , Marked_mark(X)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.003999 seconds (real time)
Cime Exit Status: 0