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

TRS termination of:
[1] isEmpty(nil) -> true
[2] isEmpty(cons(x,xs)) -> false
[3] last(cons(x,nil)) -> x
[4] last(cons(x,cons(y,ys))) -> last(cons(y,ys))
[5] dropLast(nil) -> nil
[6] dropLast(cons(x,nil)) -> nil
[7] dropLast(cons(x,cons(y,ys))) -> cons(x,dropLast(cons(y,ys)))
[8] append(nil,ys) -> ys
[9] append(cons(x,xs),ys) -> cons(x,append(xs,ys))
[10] reverse(xs) -> rev(xs,nil)
[11] rev(xs,ys) -> if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),ys)
[12] if(true,xs,ys,zs) -> zs
[13] if(false,xs,ys,zs) -> rev(xs,ys)


Sub problem: 
guided: 

DP termination of:
<Marked_last(cons(x,cons(y,ys))) , Marked_last(cons(y,ys))>
<Marked_dropLast(cons(x,cons(y,ys))) , Marked_dropLast(cons(y,ys))>
<Marked_append(cons(x,xs),ys) , Marked_append(xs,ys)>
<Marked_reverse(xs) , Marked_rev(xs,nil)>
<Marked_rev(xs,ys) , Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),ys)>
<Marked_rev(xs,ys) , Marked_isEmpty(xs)>
<Marked_rev(xs,ys) , Marked_dropLast(xs)>
<Marked_rev(xs,ys) , Marked_append(ys,last(xs))>
<Marked_rev(xs,ys) , Marked_last(xs)>
<Marked_if(false,xs,ys,zs) , Marked_rev(xs,ys)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 4 components:

{  <Marked_if(false,xs,ys,zs) , Marked_rev(xs,ys)> 
      --> <Marked_rev(xs,ys) , Marked_if(isEmpty(xs),dropLast(xs),
                                append(ys,last(xs)),ys)>
  <Marked_rev(xs,ys) , Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),
                        ys)> 
     --> <Marked_if(false,xs,ys,zs) , Marked_rev(xs,ys)>
}

{  <Marked_dropLast(cons(x,cons(y,ys))) , Marked_dropLast(cons(y,ys))> 
      --> <Marked_dropLast(cons(x,cons(y,ys))) , Marked_dropLast(cons(y,ys))>
}

{  <Marked_append(cons(x,xs),ys) , Marked_append(xs,ys)> 
      --> <Marked_append(cons(x,xs),ys) , Marked_append(xs,ys)>
}

{  <Marked_last(cons(x,cons(y,ys))) , Marked_last(cons(y,ys))> 
      --> <Marked_last(cons(x,cons(y,ys))) , Marked_last(cons(y,ys))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  isEmpty(nil) >= true ;
  isEmpty(cons(x,xs)) >= false ;
  last(cons(x,nil)) >= x ;
  last(cons(x,cons(y,ys))) >= last(cons(y,ys)) ;
  dropLast(nil) >= nil ;
  dropLast(cons(x,nil)) >= nil ;
  dropLast(cons(x,cons(y,ys))) >= cons(x,dropLast(cons(y,ys))) ;
  append(nil,ys) >= ys ;
  append(cons(x,xs),ys) >= cons(x,append(xs,ys)) ;
  rev(xs,ys) >= if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),ys) ;
  reverse(xs) >= rev(xs,nil) ;
  if(true,xs,ys,zs) >= zs ;
  if(false,xs,ys,zs) >= rev(xs,ys) ;
  Marked_if(false,xs,ys,zs) >= Marked_rev(xs,ys) ;
  Marked_rev(xs,ys) >= Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),
                        ys) ;
 }
 + Disjunctions:{ 
{
  Marked_if(false,xs,ys,zs) > Marked_rev(xs,ys) ;
 }
{
  Marked_rev(xs,ys) > Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),
                       ys) ;
 }
 } 
=== 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 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:
{
  isEmpty(nil) >= true ;
  isEmpty(cons(x,xs)) >= false ;
  last(cons(x,nil)) >= x ;
  last(cons(x,cons(y,ys))) >= last(cons(y,ys)) ;
  dropLast(nil) >= nil ;
  dropLast(cons(x,nil)) >= nil ;
  dropLast(cons(x,cons(y,ys))) >= cons(x,dropLast(cons(y,ys))) ;
  append(nil,ys) >= ys ;
  append(cons(x,xs),ys) >= cons(x,append(xs,ys)) ;
  rev(xs,ys) >= if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),ys) ;
  reverse(xs) >= rev(xs,nil) ;
  if(true,xs,ys,zs) >= zs ;
  if(false,xs,ys,zs) >= rev(xs,ys) ;
  Marked_if(false,xs,ys,zs) >= Marked_rev(xs,ys) ;
  Marked_rev(xs,ys) > Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),
                       ys) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  isEmpty(nil) >= true ;
  isEmpty(cons(x,xs)) >= false ;
  last(cons(x,nil)) >= x ;
  last(cons(x,cons(y,ys))) >= last(cons(y,ys)) ;
  dropLast(nil) >= nil ;
  dropLast(cons(x,nil)) >= nil ;
  dropLast(cons(x,cons(y,ys))) >= cons(x,dropLast(cons(y,ys))) ;
  append(nil,ys) >= ys ;
  append(cons(x,xs),ys) >= cons(x,append(xs,ys)) ;
  rev(xs,ys) >= if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),ys) ;
  reverse(xs) >= rev(xs,nil) ;
  if(true,xs,ys,zs) >= zs ;
  if(false,xs,ys,zs) >= rev(xs,ys) ;
  Marked_if(false,xs,ys,zs) >= Marked_rev(xs,ys) ;
  Marked_rev(xs,ys) > Marked_if(isEmpty(xs),dropLast(xs),append(ys,last(xs)),
                       ys) ;
 }
 + 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.(34596 bt (36580) [2497])
=== 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 6.180086 seconds (real time)
Cime Exit Status: 0