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

TRS termination of:
[1] times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x)
[2] times(x,1) -> x
[3] plus(x,0) -> x
[4] times(x,0) -> 0


Sub problem: 
guided: 

DP termination of:
<Marked_times(x,plus(y,1)) , Marked_plus(times(x,plus(y,times(1,0))),x)>
<Marked_times(x,plus(y,1)) , Marked_times(x,plus(y,times(1,0)))>
<Marked_times(x,plus(y,1)) , Marked_plus(y,times(1,0))>
<Marked_times(x,plus(y,1)) , Marked_times(1,0)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_times(x,plus(y,1)) , Marked_times(x,plus(y,times(1,0)))> 
      --> <Marked_times(x,plus(y,1)) , Marked_times(x,plus(y,times(1,0)))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  plus(x,0) >= x ;
  times(x,plus(y,1)) >= plus(times(x,plus(y,times(1,0))),x) ;
  times(x,1) >= x ;
  times(x,0) >= 0 ;
  Marked_times(x,plus(y,1)) >= Marked_times(x,plus(y,times(1,0))) ;
 }
 + Disjunctions:{ 
{
  Marked_times(x,plus(y,1)) > Marked_times(x,plus(y,times(1,0))) ;
 }
 } 
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: plus(x,0) >= x
constraint: times(x,plus(y,1)) >= plus(times(x,plus(y,times(1,0))),x)
constraint: times(x,1) >= x
constraint: times(x,0) >= 0
constraint: Marked_times(x,plus(y,1)) >= Marked_times(x,plus(y,times(1,0)))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x)
[2] times(x,1) -> x
[3] plus(x,0) -> x
[4] times(x,0) -> 0
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_times(x,plus(y,1)) , Marked_plus(times(x,plus(y,times(1,0))),x)>
<Marked_times(x,plus(y,1)) , Marked_times(x,plus(y,times(1,0)))>
<Marked_times(x,plus(y,1)) , Marked_plus(y,times(1,0))>
<Marked_times(x,plus(y,1)) , Marked_times(1,0)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_times(x,plus(y,1)) , Marked_times(x,plus(y,times(1,0)))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ plus ] (X0,X1) = 1*X0 + 1*X1 + 0; 
 [ Marked_times ] (X0,X1) = 1*X1 + 0; 
 [ 1 ] () = 1 + 0; 
 [ times ] (X0,X1) = 1*X1*X0 + 0; 
 [ 0 ] () = 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.313547 seconds (real time)
Cime Exit Status: 0