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

TRS termination of:
[1] sum(0) -> 0
[2] sum(s(x)) -> +(sqr(s(x)),sum(x))
[3] sqr(x) ->  *(x,x)
[4] sum(s(x)) -> +( *(s(x),s(x)),sum(x))


Sub problem: 
guided: 

DP termination of:
<Marked_sum(s(x)) , Marked_sqr(s(x))>
<Marked_sum(s(x)) , Marked_sum(x)>
<Marked_sum(s(x)) , Marked_sum(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_sum(s(x)) , Marked_sum(x)> --> <Marked_sum(s(x)) , Marked_sum(x)>
  <Marked_sum(s(x)) , Marked_sum(x)> --> <Marked_sum(s(x)) , Marked_sum(x)>
  <Marked_sum(s(x)) , Marked_sum(x)> --> <Marked_sum(s(x)) , Marked_sum(x)>
  <Marked_sum(s(x)) , Marked_sum(x)> --> <Marked_sum(s(x)) , Marked_sum(x)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_sum -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] sum(0) -> 0
[2] sum(s(x)) -> +(sqr(s(x)),sum(x))
[3] sqr(x) ->  *(x,x)
[4] sum(s(x)) -> +( *(s(x),s(x)),sum(x))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_sum(s(x)) , Marked_sqr(s(x))>
<Marked_sum(s(x)) , Marked_sum(x)>
<Marked_sum(s(x)) , Marked_sum(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_sum(s(x)) , Marked_sum(x)>
<Marked_sum(s(x)) , Marked_sum(x)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.004170 seconds (real time)
Cime Exit Status: 0