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

TRS termination of:
[1] concat(leaf,y) -> y
[2] concat(cons(u,v),y) -> cons(u,concat(v,y))
[3] less_leaves(x,leaf) -> false
[4] less_leaves(leaf,cons(w,z)) -> true
[5] less_leaves(cons(u,v),cons(w,z)) -> less_leaves(concat(u,v),concat(w,z))


Sub problem: 
guided: 

DP termination of:
<Marked_concat(cons(u,v),y) , Marked_concat(v,y)>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_less_leaves(concat(u,v),
                                            concat(w,z))>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_concat(u,v)>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_concat(w,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_less_leaves(concat(u,v),
                                               concat(w,z))> 
      --> <Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_less_leaves(
                                                      concat(u,v),concat(w,z))>
}

{  <Marked_concat(cons(u,v),y) , Marked_concat(v,y)> 
      --> <Marked_concat(cons(u,v),y) , Marked_concat(v,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  concat(leaf,y) >= y ;
  concat(cons(u,v),y) >= cons(u,concat(v,y)) ;
  less_leaves(leaf,cons(w,z)) >= true ;
  less_leaves(cons(u,v),cons(w,z)) >= less_leaves(concat(u,v),concat(w,z)) ;
  less_leaves(x,leaf) >= false ;
  Marked_less_leaves(cons(u,v),cons(w,z)) >= Marked_less_leaves(concat(u,v),
                                              concat(w,z)) ;
 }
 + Disjunctions:{ 
{
  Marked_less_leaves(cons(u,v),cons(w,z)) > Marked_less_leaves(concat(u,v),
                                             concat(w,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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: concat(leaf,y) >= y
constraint: concat(cons(u,v),y) >= cons(u,concat(v,y))
constraint: less_leaves(leaf,cons(w,z)) >= true
constraint: less_leaves(cons(u,v),cons(w,z)) >= less_leaves(concat(u,v),
                                                 concat(w,z))
constraint: less_leaves(x,leaf) >= false
constraint: Marked_less_leaves(cons(u,v),cons(w,z)) >= Marked_less_leaves(
                                                        concat(u,v),
                                                        concat(w,z))
APPLY CRITERIA (Subterm criterion)

ST: Marked_concat -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] concat(leaf,y) -> y
[2] concat(cons(u,v),y) -> cons(u,concat(v,y))
[3] less_leaves(x,leaf) -> false
[4] less_leaves(leaf,cons(w,z)) -> true
[5] less_leaves(cons(u,v),cons(w,z)) -> less_leaves(concat(u,v),concat(w,z))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_concat(cons(u,v),y) , Marked_concat(v,y)>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_less_leaves(concat(u,v),
                                            concat(w,z))>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_concat(u,v)>
<Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_concat(w,z)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_less_leaves(cons(u,v),cons(w,z)) , Marked_less_leaves(concat(u,v),
                                                 concat(w,z))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ concat ] (X0,X1) = 1*X0 + 1*X1 + 0; 
 [ less_leaves ] (X0,X1) = 3 + 1*X1 + 0; 
 [ cons ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; 
 [ Marked_less_leaves ] (X0,X1) = 2*X0 + 0; 
 [ leaf ] () = 3 + 0; 
 [ true ] () = 0; 
 [ false ] () = 2 + 0; 
 ]} 
{
 
DP termination of:
<Marked_concat(cons(u,v),y) , Marked_concat(v,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.037353 seconds (real time)
Cime Exit Status: 0