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

TRS termination of:
[1] rev(nil) -> nil
[2] rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l))
[3] rev1(0,nil) -> 0
[4] rev1(s(x),nil) -> s(x)
[5] rev1(x,cons(y,l)) -> rev1(y,l)
[6] rev2(x,nil) -> nil
[7] rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l)))


Sub problem: 
guided: 

DP termination of:
<Marked_rev(cons(x,l)) , Marked_rev1(x,l)>
<Marked_rev(cons(x,l)) , Marked_rev2(x,l)>
<Marked_rev1(x,cons(y,l)) , Marked_rev1(y,l)>
<Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
<Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)> 
      --> <Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)>
  <Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)> 
     --> <Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
  <Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))> 
     --> <Marked_rev(cons(x,l)) , Marked_rev2(x,l)>
  <Marked_rev(cons(x,l)) , Marked_rev2(x,l)> 
     --> <Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)>
  <Marked_rev(cons(x,l)) , Marked_rev2(x,l)> 
     --> <Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
}

{  <Marked_rev1(x,cons(y,l)) , Marked_rev1(y,l)> 
      --> <Marked_rev1(x,cons(y,l)) , Marked_rev1(y,l)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  rev(nil) >= nil ;
  rev(cons(x,l)) >= cons(rev1(x,l),rev2(x,l)) ;
  rev1(0,nil) >= 0 ;
  rev1(s(x),nil) >= s(x) ;
  rev1(x,cons(y,l)) >= rev1(y,l) ;
  rev2(x,nil) >= nil ;
  rev2(x,cons(y,l)) >= rev(cons(x,rev2(y,l))) ;
  Marked_rev2(x,cons(y,l)) >= Marked_rev2(y,l) ;
  Marked_rev2(x,cons(y,l)) >= Marked_rev(cons(x,rev2(y,l))) ;
  Marked_rev(cons(x,l)) >= Marked_rev2(x,l) ;
 }
 + Disjunctions:{ 
{
  Marked_rev2(x,cons(y,l)) > Marked_rev2(y,l) ;
 }
{
  Marked_rev2(x,cons(y,l)) > Marked_rev(cons(x,rev2(y,l))) ;
 }
{
  Marked_rev(cons(x,l)) > Marked_rev2(x,l) ;
 }
 } 
=== 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: rev(nil) >= nil
constraint: rev(cons(x,l)) >= cons(rev1(x,l),rev2(x,l))
constraint: rev1(0,nil) >= 0
constraint: rev1(s(x),nil) >= s(x)
constraint: rev1(x,cons(y,l)) >= rev1(y,l)
constraint: rev2(x,nil) >= nil
constraint: rev2(x,cons(y,l)) >= rev(cons(x,rev2(y,l)))
constraint: Marked_rev2(x,cons(y,l)) >= Marked_rev2(y,l)
constraint: Marked_rev2(x,cons(y,l)) >= Marked_rev(cons(x,rev2(y,l)))
constraint: Marked_rev(cons(x,l)) >= Marked_rev2(x,l)
APPLY CRITERIA (Subterm criterion)

ST: Marked_rev1 -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] rev(nil) -> nil
[2] rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l))
[3] rev1(0,nil) -> 0
[4] rev1(s(x),nil) -> s(x)
[5] rev1(x,cons(y,l)) -> rev1(y,l)
[6] rev2(x,nil) -> nil
[7] rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l)))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_rev(cons(x,l)) , Marked_rev1(x,l)>
<Marked_rev(cons(x,l)) , Marked_rev2(x,l)>
<Marked_rev1(x,cons(y,l)) , Marked_rev1(y,l)>
<Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
<Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_rev(cons(x,l)) , Marked_rev2(x,l)>
<Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
<Marked_rev2(x,cons(y,l)) , Marked_rev2(y,l)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ nil ] () = 0; 
 [ Marked_rev ] (X0) = 1*X0 + 2; 
 [ rev2 ] (X0,X1) = 1*X1; 
 [ cons ] (X0,X1) = 3*X1 + 1; 
 [ s ] (X0) = 0; 
 [ rev ] (X0) = 1*X0; 
 [ 0 ] () = 0; 
 [ rev1 ] (X0,X1) = 0; 
 [ Marked_rev2 ] (X0,X1) = 3*X1; 
 removing <Marked_rev(cons(x,l)),Marked_rev2(x,l)><Marked_rev2(x,cons(y,l)),
Marked_rev2(y,l)>
 [ {
      
     DP termination of:
     <Marked_rev2(x,cons(y,l)) , Marked_rev(cons(x,rev2(y,l)))>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
{
 
DP termination of:
<Marked_rev1(x,cons(y,l)) , Marked_rev1(y,l)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.046643 seconds (real time)
Cime Exit Status: 0