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

TRS termination of:
[1] f(a,empty) -> g(a,empty)
[2] f(a,cons(x,k)) -> f(cons(x,a),k)
[3] g(empty,d) -> d
[4] g(cons(x,k),d) -> g(k,cons(x,d))


Sub problem: 
guided: 

DP termination of:
<Marked_f(a,empty) , Marked_g(a,empty)>
<Marked_f(a,cons(x,k)) , Marked_f(cons(x,a),k)>
<Marked_g(cons(x,k),d) , Marked_g(k,cons(x,d))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_f(a,cons(x,k)) , Marked_f(cons(x,a),k)> 
      --> <Marked_f(a,cons(x,k)) , Marked_f(cons(x,a),k)>
}

{  <Marked_g(cons(x,k),d) , Marked_g(k,cons(x,d))> 
      --> <Marked_g(cons(x,k),d) , Marked_g(k,cons(x,d))>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_f -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_g -> 1

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

Cime worked for 0.005903 seconds (real time)
Cime Exit Status: 0