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

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


Sub problem: 
guided: 

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

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

Cime worked for 0.013860 seconds (real time)
Cime Exit Status: 0