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

TRS termination of:
[1] rev(ls) -> r1(ls,empty)
[2] r1(empty,a) -> a
[3] r1(cons(x,k),a) -> r1(k,cons(x,a))


Sub problem: 
guided: 

DP termination of:
<Marked_rev(ls) , Marked_r1(ls,empty)>
<Marked_r1(cons(x,k),a) , Marked_r1(k,cons(x,a))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_r1(cons(x,k),a) , Marked_r1(k,cons(x,a))> 
      --> <Marked_r1(cons(x,k),a) , Marked_r1(k,cons(x,a))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  r1(empty,a) >= a ;
  r1(cons(x,k),a) >= r1(k,cons(x,a)) ;
  rev(ls) >= r1(ls,empty) ;
  Marked_r1(cons(x,k),a) >= Marked_r1(k,cons(x,a)) ;
 }
 + Disjunctions:{ 
{
  Marked_r1(cons(x,k),a) > Marked_r1(k,cons(x,a)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: r1(empty,a) >= a
constraint: r1(cons(x,k),a) >= r1(k,cons(x,a))
constraint: rev(ls) >= r1(ls,empty)
constraint: Marked_r1(cons(x,k),a) >= Marked_r1(k,cons(x,a))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] rev(ls) -> r1(ls,empty)
[2] r1(empty,a) -> a
[3] r1(cons(x,k),a) -> r1(k,cons(x,a))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_rev(ls) , Marked_r1(ls,empty)>
<Marked_r1(cons(x,k),a) , Marked_r1(k,cons(x,a))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_r1(cons(x,k),a) , Marked_r1(k,cons(x,a))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ r1 ] (X0,X1) = 2*X0 + 1*X1 + 0; 
 [ Marked_r1 ] (X0,X1) = 3*X0 + 0; 
 [ rev ] (X0) = 3 + 3*X0 + 0; 
 [ empty ] () = 3 + 0; 
 [ cons ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.017433 seconds (real time)
Cime Exit Status: 0