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

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


Sub problem: 
guided: 

DP termination of:
<Marked_f(0,1,x) , Marked_f(s(x),x,x)>
<Marked_f(x,y,s(z)) , Marked_f(0,1,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(x,y,s(z)) , Marked_f(0,1,z)> 
      --> <Marked_f(x,y,s(z)) , Marked_f(0,1,z)>
  <Marked_f(x,y,s(z)) , Marked_f(0,1,z)> 
     --> <Marked_f(0,1,x) , Marked_f(s(x),x,x)>
  <Marked_f(0,1,x) , Marked_f(s(x),x,x)> 
     --> <Marked_f(x,y,s(z)) , Marked_f(0,1,z)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_f -> 3

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

Cime worked for 0.004519 seconds (real time)
Cime Exit Status: 0