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

TRS termination of:
[1] r(xs,ys,zs,nil) -> xs
[2] r(xs,nil,zs,cons(w,ws)) -> r(xs,xs,cons(succ(zero),zs),ws)
[3] r(xs,cons(y,ys),nil,cons(w,ws)) -> r(xs,xs,cons(succ(zero),nil),ws)
[4] r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) ->
 r(ys,cons(y,ys),zs,cons(succ(zero),cons(w,ws)))


Sub problem: 
guided: 

DP termination of:
<Marked_r(xs,nil,zs,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),zs),ws)>
<Marked_r(xs,cons(y,ys),nil,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),nil),
                                           ws)>
<Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,cons(y,ys),
                                                  zs,
                                                  cons(succ(zero),cons(w,ws)))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,cons(y,ys),
                                                     zs,
                                                     cons(succ(zero),
                                                      cons(w,ws)))> 
      --> <Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,
                                                            cons(y,ys),
                                                            zs,
                                                            cons(succ(zero),
                                                             cons(w,ws)))>
  <Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,cons(y,ys),
                                                    zs,
                                                    cons(succ(zero),cons(w,ws)))> 
     --> <Marked_r(xs,cons(y,ys),nil,cons(w,ws)) , Marked_r(xs,xs,
                                                    cons(succ(zero),nil),
                                                    ws)>
  <Marked_r(xs,cons(y,ys),nil,cons(w,ws)) , Marked_r(xs,xs,
                                             cons(succ(zero),nil),ws)> 
     --> <Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,
                                                           cons(y,ys),
                                                           zs,
                                                           cons(succ(zero),
                                                            cons(w,ws)))>
  <Marked_r(xs,cons(y,ys),nil,cons(w,ws)) , Marked_r(xs,xs,
                                             cons(succ(zero),nil),ws)> 
     --> <Marked_r(xs,nil,zs,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),zs),
                                            ws)>
  <Marked_r(xs,nil,zs,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),zs),ws)> 
     --> <Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) , Marked_r(ys,
                                                           cons(y,ys),
                                                           zs,
                                                           cons(succ(zero),
                                                            cons(w,ws)))>
  <Marked_r(xs,nil,zs,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),zs),ws)> 
     --> <Marked_r(xs,nil,zs,cons(w,ws)) , Marked_r(xs,xs,cons(succ(zero),zs),
                                            ws)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  r(xs,nil,zs,cons(w,ws)) >= r(xs,xs,cons(succ(zero),zs),ws) ;
  r(xs,cons(y,ys),nil,cons(w,ws)) >= r(xs,xs,cons(succ(zero),nil),ws) ;
  r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) >= r(ys,cons(y,ys),zs,
                                             cons(succ(zero),cons(w,ws))) ;
  r(xs,ys,zs,nil) >= xs ;
  Marked_r(xs,nil,zs,cons(w,ws)) >= Marked_r(xs,xs,cons(succ(zero),zs),ws) ;
  Marked_r(xs,cons(y,ys),nil,cons(w,ws)) >= Marked_r(xs,xs,
                                             cons(succ(zero),nil),ws) ;
  Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) >= Marked_r(ys,cons(y,ys),
                                                    zs,
                                                    cons(succ(zero),cons(w,ws))) ;
 }
 + Disjunctions:{ 
{
  Marked_r(xs,nil,zs,cons(w,ws)) > Marked_r(xs,xs,cons(succ(zero),zs),ws) ;
 }
{
  Marked_r(xs,cons(y,ys),nil,cons(w,ws)) > Marked_r(xs,xs,cons(succ(zero),nil),
                                            ws) ;
 }
{
  Marked_r(xs,cons(y,ys),cons(z,zs),cons(w,ws)) > Marked_r(ys,cons(y,ys),
                                                   zs,
                                                   cons(succ(zero),cons(w,ws))) ;
 }
 } 
=== 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 : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 5.149279 seconds (real time)
Cime Exit Status: 0