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

TRS termination of:
[1] f(cons(nil,y)) -> y
[2] f(cons(f(cons(nil,y)),z)) -> copy(n,y,z)
[3] copy(0,y,z) -> f(z)
[4] copy(s(x),y,z) -> copy(x,y,cons(f(y),z))


Sub problem: 
guided: 

DP termination of:
<Marked_f(cons(f(cons(nil,y)),z)) , Marked_copy(n,y,z)>
<Marked_copy(0,y,z) , Marked_f(z)>
<Marked_copy(s(x),y,z) , Marked_copy(x,y,cons(f(y),z))>
<Marked_copy(s(x),y,z) , Marked_f(y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_copy(s(x),y,z) , Marked_copy(x,y,cons(f(y),z))> 
      --> <Marked_copy(s(x),y,z) , Marked_copy(x,y,cons(f(y),z))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(cons(f(cons(nil,y)),z)) >= copy(n,y,z) ;
  f(cons(nil,y)) >= y ;
  copy(0,y,z) >= f(z) ;
  copy(s(x),y,z) >= copy(x,y,cons(f(y),z)) ;
  Marked_copy(s(x),y,z) >= Marked_copy(x,y,cons(f(y),z)) ;
 }
 + Disjunctions:{ 
{
  Marked_copy(s(x),y,z) > Marked_copy(x,y,cons(f(y),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: f(cons(f(cons(nil,y)),z)) >= copy(n,y,z)
constraint: f(cons(nil,y)) >= y
constraint: copy(0,y,z) >= f(z)
constraint: copy(s(x),y,z) >= copy(x,y,cons(f(y),z))
constraint: Marked_copy(s(x),y,z) >= Marked_copy(x,y,cons(f(y),z))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] f(cons(nil,y)) -> y
[2] f(cons(f(cons(nil,y)),z)) -> copy(n,y,z)
[3] copy(0,y,z) -> f(z)
[4] copy(s(x),y,z) -> copy(x,y,cons(f(y),z))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_f(cons(f(cons(nil,y)),z)) , Marked_copy(n,y,z)>
<Marked_copy(0,y,z) , Marked_f(z)>
<Marked_copy(s(x),y,z) , Marked_copy(x,y,cons(f(y),z))>
<Marked_copy(s(x),y,z) , Marked_f(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_copy(s(x),y,z) , Marked_copy(x,y,cons(f(y),z))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ f ] (X0) = 2*X0 + 0; 
 [ n ] () = 0; 
 [ nil ] () = 0; 
 [ s ] (X0) = 3 + 3*X0 + 0; 
 [ cons ] (X0,X1) = 2 + 1*X1 + 0; 
 [ 0 ] () = 0; 
 [ copy ] (X0,X1,X2) = 2 + 3*X0 + 2*X2 + 0; 
 [ Marked_copy ] (X0,X1,X2) = 2*X0 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.053853 seconds (real time)
Cime Exit Status: 0