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

TRS termination of:
[1] rev(a) -> a
[2] rev(b) -> b
[3] rev(++(x,y)) -> ++(rev(y),rev(x))
[4] rev(++(x,x)) -> rev(x)


Sub problem: 
guided: 

DP termination of:
<Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
<Marked_rev(++(x,x)) , Marked_rev(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_rev(++(x,x)) , Marked_rev(x)> 
      --> <Marked_rev(++(x,x)) , Marked_rev(x)>
  <Marked_rev(++(x,x)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(x)>
  <Marked_rev(++(x,x)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(y)>
  <Marked_rev(++(x,y)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,x)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(y)>
  <Marked_rev(++(x,y)) , Marked_rev(y)> 
     --> <Marked_rev(++(x,x)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(y)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(y)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  rev(a) >= a ;
  rev(b) >= b ;
  rev(++(x,x)) >= rev(x) ;
  rev(++(x,y)) >= ++(rev(y),rev(x)) ;
  Marked_rev(++(x,x)) >= Marked_rev(x) ;
  Marked_rev(++(x,y)) >= Marked_rev(x) ;
  Marked_rev(++(x,y)) >= Marked_rev(y) ;
 }
 + Disjunctions:{ 
{
  Marked_rev(++(x,x)) > Marked_rev(x) ;
 }
{
  Marked_rev(++(x,y)) > Marked_rev(x) ;
 }
{
  Marked_rev(++(x,y)) > Marked_rev(y) ;
 }
 } 
=== 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(a) >= a
constraint: rev(b) >= b
constraint: rev(++(x,x)) >= rev(x)
constraint: rev(++(x,y)) >= ++(rev(y),rev(x))
constraint: Marked_rev(++(x,x)) >= Marked_rev(x)
constraint: Marked_rev(++(x,y)) >= Marked_rev(x)
constraint: Marked_rev(++(x,y)) >= Marked_rev(y)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] rev(a) -> a
[2] rev(b) -> b
[3] rev(++(x,y)) -> ++(rev(y),rev(x))
[4] rev(++(x,x)) -> rev(x)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
<Marked_rev(++(x,x)) , Marked_rev(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
<Marked_rev(++(x,x)) , Marked_rev(x)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ a ] () = 0; 
 [ Marked_rev ] (X0) = 1*X0 + 0; 
 [ b ] () = 0; 
 [ rev ] (X0) = 2*X0 + 0; 
 [ ++ ] (X0,X1) = 2 + 1*X0 + 1*X1 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.022340 seconds (real time)
Cime Exit Status: 0