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

TRS termination of:
[1] rev(nil) -> nil
[2] rev(++(x,y)) -> ++(rev1(x,y),rev2(x,y))
[3] rev1(x,nil) -> x
[4] rev1(x,++(y,z)) -> rev1(y,z)
[5] rev2(x,nil) -> nil
[6] rev2(x,++(y,z)) -> rev(++(x,rev(rev2(y,z))))


Sub problem: 
guided: 

DP termination of:
<Marked_rev(++(x,y)) , Marked_rev1(x,y)>
<Marked_rev(++(x,y)) , Marked_rev2(x,y)>
<Marked_rev1(x,++(y,z)) , Marked_rev1(y,z)>
<Marked_rev2(x,++(y,z)) , Marked_rev(++(x,rev(rev2(y,z))))>
<Marked_rev2(x,++(y,z)) , Marked_rev(rev2(y,z))>
<Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)> 
      --> <Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)>
  <Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)> 
     --> <Marked_rev2(x,++(y,z)) , Marked_rev(rev2(y,z))>
  <Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)> 
     --> <Marked_rev2(x,++(y,z)) , Marked_rev(++(x,rev(rev2(y,z))))>
  <Marked_rev2(x,++(y,z)) , Marked_rev(rev2(y,z))> 
     --> <Marked_rev(++(x,y)) , Marked_rev2(x,y)>
  <Marked_rev2(x,++(y,z)) , Marked_rev(++(x,rev(rev2(y,z))))> 
     --> <Marked_rev(++(x,y)) , Marked_rev2(x,y)>
  <Marked_rev(++(x,y)) , Marked_rev2(x,y)> 
     --> <Marked_rev2(x,++(y,z)) , Marked_rev2(y,z)>
  <Marked_rev(++(x,y)) , Marked_rev2(x,y)> 
     --> <Marked_rev2(x,++(y,z)) , Marked_rev(rev2(y,z))>
  <Marked_rev(++(x,y)) , Marked_rev2(x,y)> 
     --> <Marked_rev2(x,++(y,z)) , Marked_rev(++(x,rev(rev2(y,z))))>
}

{  <Marked_rev1(x,++(y,z)) , Marked_rev1(y,z)> 
      --> <Marked_rev1(x,++(y,z)) , Marked_rev1(y,z)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  rev(nil) >= nil ;
  rev(++(x,y)) >= ++(rev1(x,y),rev2(x,y)) ;
  rev1(x,nil) >= x ;
  rev1(x,++(y,z)) >= rev1(y,z) ;
  rev2(x,nil) >= nil ;
  rev2(x,++(y,z)) >= rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) >= Marked_rev2(y,z) ;
  Marked_rev2(x,++(y,z)) >= Marked_rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) >= Marked_rev(rev2(y,z)) ;
  Marked_rev(++(x,y)) >= Marked_rev2(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_rev2(x,++(y,z)) > Marked_rev2(y,z) ;
 }
{
  Marked_rev2(x,++(y,z)) > Marked_rev(++(x,rev(rev2(y,z)))) ;
 }
{
  Marked_rev2(x,++(y,z)) > Marked_rev(rev2(y,z)) ;
 }
{
  Marked_rev(++(x,y)) > Marked_rev2(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
=== 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 : 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 (Simple graph)
Found the following constraints:
{
  rev(nil) >= nil ;
  rev(++(x,y)) >= ++(rev1(x,y),rev2(x,y)) ;
  rev1(x,nil) >= x ;
  rev1(x,++(y,z)) >= rev1(y,z) ;
  rev2(x,nil) >= nil ;
  rev2(x,++(y,z)) >= rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) > Marked_rev2(y,z) ;
  Marked_rev2(x,++(y,z)) > Marked_rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) >= Marked_rev(rev2(y,z)) ;
  Marked_rev(++(x,y)) > Marked_rev2(x,y) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  rev(nil) >= nil ;
  rev(++(x,y)) >= ++(rev1(x,y),rev2(x,y)) ;
  rev1(x,nil) >= x ;
  rev1(x,++(y,z)) >= rev1(y,z) ;
  rev2(x,nil) >= nil ;
  rev2(x,++(y,z)) >= rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) > Marked_rev2(y,z) ;
  Marked_rev2(x,++(y,z)) > Marked_rev(++(x,rev(rev2(y,z)))) ;
  Marked_rev2(x,++(y,z)) >= Marked_rev(rev2(y,z)) ;
  Marked_rev(++(x,y)) > Marked_rev2(x,y) ;
 }
 + Disjunctions:{ 
 } 
=== 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 ===
No solution found for these parameters.(400 bt (428) [97])
=== 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 2.157302 seconds (real time)
Cime Exit Status: 0