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

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


Sub problem: 
guided: 

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

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

ST: Marked_quot -> 1

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

Cime worked for 0.004302 seconds (real time)
Cime Exit Status: 0