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

TRS termination of:
[1] nats -> cons(0,n__incr(nats))
[2] pairs -> cons(0,n__incr(odds))
[3] odds -> incr(pairs)
[4] incr(cons(X,XS)) -> cons(s(X),n__incr(activate(XS)))
[5] head(cons(X,XS)) -> X
[6] tail(cons(X,XS)) -> activate(XS)
[7] incr(X) -> n__incr(X)
[8] activate(n__incr(X)) -> incr(X)
[9] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_nats , Marked_nats>
<Marked_pairs , Marked_odds>
<Marked_odds , Marked_incr(pairs)>
<Marked_odds , Marked_pairs>
<Marked_incr(cons(X,XS)) , Marked_activate(XS)>
<Marked_tail(cons(X,XS)) , Marked_activate(XS)>
<Marked_activate(n__incr(X)) , Marked_incr(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_nats , Marked_nats> --> <Marked_nats , Marked_nats>
}

{  <Marked_odds , Marked_pairs> --> <Marked_pairs , Marked_odds>
  <Marked_pairs , Marked_odds> --> <Marked_odds , Marked_pairs>
}

{  <Marked_activate(n__incr(X)) , Marked_incr(X)> 
      --> <Marked_incr(cons(X,XS)) , Marked_activate(XS)>
  <Marked_incr(cons(X,XS)) , Marked_activate(XS)> 
     --> <Marked_activate(n__incr(X)) , Marked_incr(X)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  nats >= cons(0,n__incr(nats)) ;
  odds >= incr(pairs) ;
  pairs >= cons(0,n__incr(odds)) ;
  incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ;
  incr(X) >= n__incr(X) ;
  activate(n__incr(X)) >= incr(X) ;
  activate(X) >= X ;
  head(cons(X,XS)) >= X ;
  tail(cons(X,XS)) >= activate(XS) ;
  Marked_nats >= Marked_nats ;
 }
 + Disjunctions:{ 
{
  Marked_nats > Marked_nats ;
 }
 } 
=== 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 : 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:
{
  nats >= cons(0,n__incr(nats)) ;
  odds >= incr(pairs) ;
  pairs >= cons(0,n__incr(odds)) ;
  incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ;
  incr(X) >= n__incr(X) ;
  activate(n__incr(X)) >= incr(X) ;
  activate(X) >= X ;
  head(cons(X,XS)) >= X ;
  tail(cons(X,XS)) >= activate(XS) ;
  Marked_nats > Marked_nats ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  nats >= cons(0,n__incr(nats)) ;
  odds >= incr(pairs) ;
  pairs >= cons(0,n__incr(odds)) ;
  incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ;
  incr(X) >= n__incr(X) ;
  activate(n__incr(X)) >= incr(X) ;
  activate(X) >= X ;
  head(cons(X,XS)) >= X ;
  tail(cons(X,XS)) >= activate(XS) ;
  Marked_nats > Marked_nats ;
 }
 + Disjunctions:{ 
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
=== 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.(8 bt (0) [15])
=== TIMER virtual : 15.000000 ===
Entering poly_solver
=== 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
=== 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 0.035449 seconds (real time)
Cime Exit Status: 0