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

TRS termination of:
[1] -(-(neg(x),neg(x)),-(neg(y),neg(y))) -> -(-(x,y),-(x,y))


Sub problem: 
guided: 

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

{  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
      --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(x,y)>
  <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))> 
     --> <Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) , Marked_-(-(x,y),-(x,y))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y)) ;
  Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y),-(x,y)) ;
  Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) > Marked_-(-(x,y),-(x,y)) ;
 }
{
  Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) > Marked_-(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: -(-(neg(x),neg(x)),-(neg(y),neg(y))) >= -(-(x,y),-(x,y))
constraint: Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(-(x,y),
                                                            -(x,y))
constraint: Marked_-(-(neg(x),neg(x)),-(neg(y),neg(y))) >= Marked_-(x,y)
APPLY CRITERIA (Graph splitting)
Found 1 components:

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

Cime worked for 0.080991 seconds (real time)
Cime Exit Status: 0