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

TRS termination of:
[1] average(s(x),y) -> average(x,s(y))
[2] average(x,s(s(s(y)))) -> s(average(s(x),y))
[3] average(0,0) -> 0
[4] average(0,s(0)) -> 0
[5] average(0,s(s(0))) -> s(0)


Sub problem: 
guided: 

DP termination of:
<Marked_average(s(x),y) , Marked_average(x,s(y))>
<Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)> 
      --> <Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)>
  <Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)> 
     --> <Marked_average(s(x),y) , Marked_average(x,s(y))>
  <Marked_average(s(x),y) , Marked_average(x,s(y))> 
     --> <Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)>
  <Marked_average(s(x),y) , Marked_average(x,s(y))> 
     --> <Marked_average(s(x),y) , Marked_average(x,s(y))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  average(s(x),y) >= average(x,s(y)) ;
  average(0,s(s(0))) >= s(0) ;
  average(0,s(0)) >= 0 ;
  average(0,0) >= 0 ;
  average(x,s(s(s(y)))) >= s(average(s(x),y)) ;
  Marked_average(s(x),y) >= Marked_average(x,s(y)) ;
  Marked_average(x,s(s(s(y)))) >= Marked_average(s(x),y) ;
 }
 + Disjunctions:{ 
{
  Marked_average(s(x),y) > Marked_average(x,s(y)) ;
 }
{
  Marked_average(x,s(s(s(y)))) > Marked_average(s(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: average(s(x),y) >= average(x,s(y))
constraint: average(0,s(s(0))) >= s(0)
constraint: average(0,s(0)) >= 0
constraint: average(0,0) >= 0
constraint: average(x,s(s(s(y)))) >= s(average(s(x),y))
constraint: Marked_average(s(x),y) >= Marked_average(x,s(y))
constraint: Marked_average(x,s(s(s(y)))) >= Marked_average(s(x),y)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] average(s(x),y) -> average(x,s(y))
[2] average(x,s(s(s(y)))) -> s(average(s(x),y))
[3] average(0,0) -> 0
[4] average(0,s(0)) -> 0
[5] average(0,s(s(0))) -> s(0)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_average(s(x),y) , Marked_average(x,s(y))>
<Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_average(s(x),y) , Marked_average(x,s(y))>
<Marked_average(x,s(s(s(y)))) , Marked_average(s(x),y)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ average ] (X0,X1) = 2 + 2*X0 + 1*X1 + 0; 
 [ 0 ] () = 2 + 0; 
 [ s ] (X0) = 3 + 1*X0 + 0; 
 [ Marked_average ] (X0,X1) = 2*X0 + 1*X1 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.065381 seconds (real time)
Cime Exit Status: 0