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

TRS termination of:
[1] g(s(x)) -> f(x)
[2] f(0) -> s(0)
[3] f(s(x)) -> s(s(g(x)))
[4] g(0) -> 0


Sub problem: 
guided: 

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

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

ST: Marked_f -> 1
Marked_g -> 1

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

Cime worked for 0.004238 seconds (real time)
Cime Exit Status: 0