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

TRS termination of:
[1] f(s(X),X) -> f(X,a(X))
[2] f(X,c(X)) -> f(s(X),X)
[3] f(X,X) -> c(X)


Sub problem: 
guided: 

DP termination of:
<Marked_f(s(X),X) , Marked_f(X,a(X))>
<Marked_f(X,c(X)) , Marked_f(s(X),X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_f(X,c(X)) , Marked_f(s(X),X)> 
      --> <Marked_f(X,c(X)) , Marked_f(s(X),X)>
}

{  <Marked_f(s(X),X) , Marked_f(X,a(X))> 
      --> <Marked_f(s(X),X) , Marked_f(X,a(X))>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_f -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_f -> 1

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

Cime worked for 0.006518 seconds (real time)
Cime Exit Status: 0