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

TRS termination of:
[1] -(0,y) -> 0
[2] -(x,0) -> x
[3] -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0)
[4] p(0) -> 0
[5] p(s(x)) -> x


Sub problem: 
guided: 

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

{  <Marked_-(x,s(y)) , Marked_-(x,p(s(y)))> 
      --> <Marked_-(x,s(y)) , Marked_-(x,p(s(y)))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  -(0,y) >= 0 ;
  -(x,0) >= x ;
  -(x,s(y)) >= if(greater(x,s(y)),s(-(x,p(s(y)))),0) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  Marked_-(x,s(y)) >= Marked_-(x,p(s(y))) ;
 }
 + Disjunctions:{ 
{
  Marked_-(x,s(y)) > Marked_-(x,p(s(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 ===
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: -(0,y) >= 0
constraint: -(x,0) >= x
constraint: -(x,s(y)) >= if(greater(x,s(y)),s(-(x,p(s(y)))),0)
constraint: p(0) >= 0
constraint: p(s(x)) >= x
constraint: Marked_-(x,s(y)) >= Marked_-(x,p(s(y)))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] -(0,y) -> 0
[2] -(x,0) -> x
[3] -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0)
[4] p(0) -> 0
[5] p(s(x)) -> x
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_-(x,s(y)) , Marked_-(x,p(s(y)))>
<Marked_-(x,s(y)) , Marked_p(s(y))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_-(x,s(y)) , Marked_-(x,p(s(y)))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     Matrix polynomial interpretation (strict sub matrices size: 1x1) = 
      [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ s ] (X0) = [ [ 1 , 1 , 0 ] [ 1 , 1 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ if ] (X0,X1,X2) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X2 + 
[ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + 
[ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ - ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 1 , 0 , 0 ] [ 0 , 1 , 0 ] [ 0 , 0 , 1 ] ]*X0 + 
[ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ p ] (X0) = [ [ 1 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ greater ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + 
[ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 [ Marked_- ] (X0,X1) = [ [ 0 , 1 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + 
[ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; 
 ]} 
 ]} 
 ]} 

Cime worked for 2.117120 seconds (real time)
Cime Exit Status: 0