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

TRS termination of:
[1] bin(x,0) -> s(0)
[2] bin(0,s(y)) -> 0
[3] bin(s(x),s(y)) -> +(bin(x,s(y)),bin(x,y))


Sub problem: 
guided: 

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

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

Cime worked for 0.026894 seconds (real time)
Cime Exit Status: 0