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

TRS termination of:
[1] f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v))
[2] f(x,y,y) -> y
[3] f(x,y,g(y)) -> x
[4] f(x,x,y) -> x
[5] f(g(x),x,y) -> y


Sub problem: 
guided: 

DP termination of:
<Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(x,y,f(z,u,v))>
<Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(z,u,v)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(z,u,v)> 
      --> <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(z,u,v)>
  <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(z,u,v)> 
     --> <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(x,y,f(z,u,v))>
  <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(x,y,f(z,u,v))> 
     --> <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(z,u,v)>
  <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(x,y,f(z,u,v))> 
     --> <Marked_f(f(x,y,z),u,f(x,y,v)) , Marked_f(x,y,f(z,u,v))>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_f -> 1

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

Cime worked for 0.006517 seconds (real time)
Cime Exit Status: 0