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

TRS termination of:
[1] from(X) -> cons(X,n__from(s(X)))
[2] head(cons(X,XS)) -> X
[3] 2nd(cons(X,XS)) -> head(activate(XS))
[4] take(0,XS) -> nil
[5] take(s(N),cons(X,XS)) -> cons(X,n__take(N,activate(XS)))
[6] sel(0,cons(X,XS)) -> X
[7] sel(s(N),cons(X,XS)) -> sel(N,activate(XS))
[8] from(X) -> n__from(X)
[9] take(X1,X2) -> n__take(X1,X2)
[10] activate(n__from(X)) -> from(X)
[11] activate(n__take(X1,X2)) -> take(X1,X2)
[12] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_2nd(cons(X,XS)) , Marked_head(activate(XS))>
<Marked_2nd(cons(X,XS)) , Marked_activate(XS)>
<Marked_take(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,activate(XS))>
<Marked_sel(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_activate(n__from(X)) , Marked_from(X)>
<Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,activate(XS))> 
      --> <Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,activate(XS))>
}

{  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
      --> <Marked_take(s(N),cons(X,XS)) , Marked_activate(XS)>
  <Marked_take(s(N),cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_sel -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_activate -> 1
Marked_take -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] from(X) -> cons(X,n__from(s(X)))
[2] head(cons(X,XS)) -> X
[3] 2nd(cons(X,XS)) -> head(activate(XS))
[4] take(0,XS) -> nil
[5] take(s(N),cons(X,XS)) -> cons(X,n__take(N,activate(XS)))
[6] sel(0,cons(X,XS)) -> X
[7] sel(s(N),cons(X,XS)) -> sel(N,activate(XS))
[8] from(X) -> n__from(X)
[9] take(X1,X2) -> n__take(X1,X2)
[10] activate(n__from(X)) -> from(X)
[11] activate(n__take(X1,X2)) -> take(X1,X2)
[12] activate(X) -> X
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_2nd(cons(X,XS)) , Marked_head(activate(XS))>
<Marked_2nd(cons(X,XS)) , Marked_activate(XS)>
<Marked_take(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,activate(XS))>
<Marked_sel(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_activate(n__from(X)) , Marked_from(X)>
<Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_sel(s(N),cons(X,XS)) , Marked_sel(N,activate(XS))>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_take(s(N),cons(X,XS)) , Marked_activate(XS)>
<Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.007732 seconds (real time)
Cime Exit Status: 0