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

TRS termination of:
[1] app(app(mapbt,f),app(leaf,x)) -> app(leaf,app(f,x))
[2] app(app(mapbt,f),app(app(app(branch,x),l),r)) ->
 app(app(app(branch,app(f,x)),app(app(mapbt,f),l)),app(app(mapbt,f),r))


Sub problem: 
guided: 

DP termination of:
<Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(leaf,app(f,x))>
<Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                         app(app(mapbt,f),r))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    branch,
                                                                    app(f,x)),
                                                         app(app(mapbt,f),l))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(branch,
                                                         app(f,x))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         l)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         r)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                            app(mapbt,
                                                             f),r)> 
      --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l))> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r))> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  f,x)>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l))>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   app(
                                                                    branch,
                                                                    app(f,x)),
                                                                   app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r))>
  <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)> 
     --> <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  app(app(mapbt,f),app(app(app(branch,x),l),r)) >= app(app(app(branch,app(f,x)),
                                                        app(app(mapbt,f),l)),
                                                    app(app(mapbt,f),r)) ;
  app(app(mapbt,f),app(leaf,x)) >= app(leaf,app(f,x)) ;
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                           app(app(branch,
                                                                app(f,x)),
                                                            app(app(mapbt,f),l)),
                                                           app(app(mapbt,f),r)) ;
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                           app(mapbt,
                                                            f),l) ;
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                           app(mapbt,
                                                            f),r) ;
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                           app(branch,
                                                            app(f,x)),
                                                           app(app(mapbt,f),l)) ;
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(f,x) ;
  Marked_app(app(mapbt,f),app(leaf,x)) >= Marked_app(f,x) ;
 }
 + Disjunctions:{ 
{
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) > Marked_app(app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                          app(app(mapbt,f),r)) ;
 }
{
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) > Marked_app(app(
                                                                    mapbt,
                                                                    f),
                                                          l) ;
 }
{
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) > Marked_app(app(
                                                                    mapbt,
                                                                    f),
                                                          r) ;
 }
{
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) > Marked_app(app(
                                                                    branch,
                                                                    app(f,x)),
                                                          app(app(mapbt,f),l)) ;
 }
{
  Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) > Marked_app(f,x) ;
 }
{
  Marked_app(app(mapbt,f),app(leaf,x)) > Marked_app(f,x) ;
 }
 } 
=== 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 : 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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: app(app(mapbt,f),app(app(app(branch,x),l),r)) >= app(app(
                                                                  app(
                                                                   branch,
                                                                   app(f,x)),
                                                                  app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   l)),
                                                              app(app(mapbt,f),
                                                               r))
constraint: app(app(mapbt,f),app(leaf,x)) >= app(leaf,app(f,x))
constraint: Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                                    app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    r))
constraint: Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)
constraint: Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    r)
constraint: Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l))
constraint: Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) >= Marked_app(
                                                                    f,
                                                                    x)
constraint: Marked_app(app(mapbt,f),app(leaf,x)) >= Marked_app(f,x)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                            app(mapbt,
                                                             f),r)> 
      --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                   app(
                                                                    mapbt,
                                                                    f),
                                                                   r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),r)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  r)>
  <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                           app(mapbt,
                                                            f),l)> 
     --> <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  l)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_app -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] app(app(mapbt,f),app(leaf,x)) -> app(leaf,app(f,x))
[2] app(app(mapbt,f),app(app(app(branch,x),l),r)) ->
 app(app(app(branch,app(f,x)),app(app(mapbt,f),l)),app(app(mapbt,f),r))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(leaf,app(f,x))>
<Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                         app(app(mapbt,f),r))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    branch,
                                                                    app(f,x)),
                                                         app(app(mapbt,f),l))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(branch,
                                                         app(f,x))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         l)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         r)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_app(app(mapbt,f),app(leaf,x)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    app(
                                                                    branch,
                                                                    app(f,x)),
                                                                    app(
                                                                    app(
                                                                    mapbt,
                                                                    f),
                                                                    l)),
                                                         app(app(mapbt,f),r))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(
                                                                    branch,
                                                                    app(f,x)),
                                                         app(app(mapbt,f),l))>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(f,x)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         l)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         r)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ app ] (X0,X1) = 2*X1*X0 + 2*X0; 
 [ Marked_app ] (X0,X1) = 1*X0; 
 [ mapbt ] () = 2; 
 [ leaf ] () = 0; 
 [ branch ] () = 0; 
 removing <Marked_app(app(mapbt,f),app(leaf,x)),Marked_app(f,x)><Marked_app(
                                                                  app(
                                                                   mapbt,
                                                                   f),
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    branch,
                                                                    x),
                                                                    l),
                                                                   r)),
Marked_app(app(app(branch,app(f,x)),app(app(mapbt,f),l)),app(app(mapbt,f),r))><
Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)),Marked_app(app(branch,
                                                                 app(f,x)),
                                                      app(app(mapbt,f),l))><
Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)),Marked_app(f,x)>
 [ {
      
     DP termination of:
     <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                              app(mapbt,
                                                               f),l)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         r)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(
                                                              app(mapbt,
                                                               f),l)>
<Marked_app(app(mapbt,f),app(app(app(branch,x),l),r)) , Marked_app(app(mapbt,f),
                                                         r)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 15.601219 seconds (real time)
Cime Exit Status: 0