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

TRS termination of:
[1] +( *(x,y), *(a,y)) ->  *(+(x,a),y)
[2]  *( *(x,y),z) ->  *(x, *(y,z))


Sub problem: 
guided: 

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

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

Cime worked for 0.017762 seconds (real time)
Cime Exit Status: 0