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

TRS termination of:
[1] D(t) -> 1
[2] D(constant) -> 0
[3] D(+(x,y)) -> +(D(x),D(y))
[4] D( *(x,y)) -> +( *(y,D(x)), *(x,D(y)))
[5] D(-(x,y)) -> -(D(x),D(y))


Sub problem: 
guided: 

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

{  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(x)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D(-(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D( *(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(y)> --> <Marked_D(+(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D(-(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D( *(x,y)) , Marked_D(x)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(y)>
  <Marked_D(+(x,y)) , Marked_D(x)> --> <Marked_D(+(x,y)) , Marked_D(x)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  D(t) >= 1 ;
  D(constant) >= 0 ;
  D(+(x,y)) >= +(D(x),D(y)) ;
  D( *(x,y)) >= +( *(y,D(x)), *(x,D(y))) ;
  D(-(x,y)) >= -(D(x),D(y)) ;
  Marked_D(+(x,y)) >= Marked_D(x) ;
  Marked_D(+(x,y)) >= Marked_D(y) ;
  Marked_D( *(x,y)) >= Marked_D(x) ;
  Marked_D( *(x,y)) >= Marked_D(y) ;
  Marked_D(-(x,y)) >= Marked_D(x) ;
  Marked_D(-(x,y)) >= Marked_D(y) ;
 }
 + Disjunctions:{ 
{
  Marked_D(+(x,y)) > Marked_D(x) ;
 }
{
  Marked_D(+(x,y)) > Marked_D(y) ;
 }
{
  Marked_D( *(x,y)) > Marked_D(x) ;
 }
{
  Marked_D( *(x,y)) > Marked_D(y) ;
 }
{
  Marked_D(-(x,y)) > Marked_D(x) ;
 }
{
  Marked_D(-(x,y)) > Marked_D(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
=== 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 ===
=== STOPING TIMER virtual ===
constraint: D(t) >= 1
constraint: D(constant) >= 0
constraint: D(+(x,y)) >= +(D(x),D(y))
constraint: D( *(x,y)) >= +( *(y,D(x)), *(x,D(y)))
constraint: D(-(x,y)) >= -(D(x),D(y))
constraint: Marked_D(+(x,y)) >= Marked_D(x)
constraint: Marked_D(+(x,y)) >= Marked_D(y)
constraint: Marked_D( *(x,y)) >= Marked_D(x)
constraint: Marked_D( *(x,y)) >= Marked_D(y)
constraint: Marked_D(-(x,y)) >= Marked_D(x)
constraint: Marked_D(-(x,y)) >= Marked_D(y)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] D(t) -> 1
[2] D(constant) -> 0
[3] D(+(x,y)) -> +(D(x),D(y))
[4] D( *(x,y)) -> +( *(y,D(x)), *(x,D(y)))
[5] D(-(x,y)) -> -(D(x),D(y))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_D(+(x,y)) , Marked_D(x)>
<Marked_D(+(x,y)) , Marked_D(y)>
<Marked_D( *(x,y)) , Marked_D(x)>
<Marked_D( *(x,y)) , Marked_D(y)>
<Marked_D(-(x,y)) , Marked_D(x)>
<Marked_D(-(x,y)) , Marked_D(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_D(+(x,y)) , Marked_D(x)>
<Marked_D(+(x,y)) , Marked_D(y)>
<Marked_D( *(x,y)) , Marked_D(x)>
<Marked_D( *(x,y)) , Marked_D(y)>
<Marked_D(-(x,y)) , Marked_D(x)>
<Marked_D(-(x,y)) , Marked_D(y)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: 
     and precedence:
     prec (All symbols are Lex.): { 1  <  D ; D  >  1 ; D  >  0 ; D  >  + ;
                                   D  >   * ; D  >  - ; 0  <  D ; +  <  D ;
                                    *  <  D ; -  <  D ; }

 ]} 
 ]} 
 ]} 

Cime worked for 0.051151 seconds (real time)
Cime Exit Status: 0