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

TRS termination of:
[1] ge(x,0) -> true
[2] ge(0,s(y)) -> false
[3] ge(s(x),s(y)) -> ge(x,y)
[4] rev(x) -> if(x,eq(0,length(x)),nil,0,length(x))
[5] if(x,true,z,c,l) -> z
[6] if(x,false,z,c,l) -> help(s(c),l,x,z)
[7] help(c,l,cons(x,y),z) -> if(append(y,cons(x,nil)),ge(c,l),cons(x,z),c,l)
[8] append(nil,y) -> y
[9] append(cons(x,y),z) -> cons(x,append(y,z))
[10] length(nil) -> 0
[11] length(cons(x,y)) -> s(length(y))


Sub problem: 
guided: 

DP termination of:
<Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
<Marked_rev(x) , Marked_if(x,eq(0,length(x)),nil,0,length(x))>
<Marked_rev(x) , Marked_length(x)>
<Marked_rev(x) , Marked_length(x)>
<Marked_if(x,false,z,c,l) , Marked_help(s(c),l,x,z)>
<Marked_help(c,l,cons(x,y),z) , Marked_if(append(y,cons(x,nil)),ge(c,l),
                                 cons(x,z),c,l)>
<Marked_help(c,l,cons(x,y),z) , Marked_append(y,cons(x,nil))>
<Marked_help(c,l,cons(x,y),z) , Marked_ge(c,l)>
<Marked_append(cons(x,y),z) , Marked_append(y,z)>
<Marked_length(cons(x,y)) , Marked_length(y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 4 components:

{  <Marked_help(c,l,cons(x,y),z) , Marked_if(append(y,cons(x,nil)),ge(c,l),
                                    cons(x,z),c,l)> 
      --> <Marked_if(x,false,z,c,l) , Marked_help(s(c),l,x,z)>
  <Marked_if(x,false,z,c,l) , Marked_help(s(c),l,x,z)> 
     --> <Marked_help(c,l,cons(x,y),z) , Marked_if(append(y,cons(x,nil)),
                                          ge(c,l),cons(x,z),c,l)>
}

{  <Marked_ge(s(x),s(y)) , Marked_ge(x,y)> 
      --> <Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
}

{  <Marked_append(cons(x,y),z) , Marked_append(y,z)> 
      --> <Marked_append(cons(x,y),z) , Marked_append(y,z)>
}

{  <Marked_length(cons(x,y)) , Marked_length(y)> 
      --> <Marked_length(cons(x,y)) , Marked_length(y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  if(x,true,z,c,l) >= z ;
  if(x,false,z,c,l) >= help(s(c),l,x,z) ;
  length(nil) >= 0 ;
  length(cons(x,y)) >= s(length(y)) ;
  rev(x) >= if(x,eq(0,length(x)),nil,0,length(x)) ;
  help(c,l,cons(x,y),z) >= if(append(y,cons(x,nil)),ge(c,l),cons(x,z),c,l) ;
  append(nil,y) >= y ;
  append(cons(x,y),z) >= cons(x,append(y,z)) ;
  Marked_help(c,l,cons(x,y),z) >= Marked_if(append(y,cons(x,nil)),ge(c,l),
                                   cons(x,z),c,l) ;
  Marked_if(x,false,z,c,l) >= Marked_help(s(c),l,x,z) ;
 }
 + Disjunctions:{ 
{
  Marked_help(c,l,cons(x,y),z) > Marked_if(append(y,cons(x,nil)),ge(c,l),
                                  cons(x,z),c,l) ;
 }
{
  Marked_if(x,false,z,c,l) > Marked_help(s(c),l,x,z) ;
 }
 } 
=== 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 : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
Time out 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:
{
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  if(x,true,z,c,l) >= z ;
  if(x,false,z,c,l) >= help(s(c),l,x,z) ;
  length(nil) >= 0 ;
  length(cons(x,y)) >= s(length(y)) ;
  rev(x) >= if(x,eq(0,length(x)),nil,0,length(x)) ;
  help(c,l,cons(x,y),z) >= if(append(y,cons(x,nil)),ge(c,l),cons(x,z),c,l) ;
  append(nil,y) >= y ;
  append(cons(x,y),z) >= cons(x,append(y,z)) ;
  Marked_help(c,l,cons(x,y),z) >= Marked_if(append(y,cons(x,nil)),ge(c,l),
                                   cons(x,z),c,l) ;
  Marked_if(x,false,z,c,l) > Marked_help(s(c),l,x,z) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  if(x,true,z,c,l) >= z ;
  if(x,false,z,c,l) >= help(s(c),l,x,z) ;
  length(nil) >= 0 ;
  length(cons(x,y)) >= s(length(y)) ;
  rev(x) >= if(x,eq(0,length(x)),nil,0,length(x)) ;
  help(c,l,cons(x,y),z) >= if(append(y,cons(x,nil)),ge(c,l),cons(x,z),c,l) ;
  append(nil,y) >= y ;
  append(cons(x,y),z) >= cons(x,append(y,z)) ;
  Marked_help(c,l,cons(x,y),z) >= Marked_if(append(y,cons(x,nil)),ge(c,l),
                                   cons(x,z),c,l) ;
  Marked_if(x,false,z,c,l) > Marked_help(s(c),l,x,z) ;
 }
 + 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.(617485 bt (633494) [30096])
=== 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 timeout reached
=== STOPING TIMER virtual ===
Time out 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 85.140507 seconds (real time)
Cime Exit Status: 0