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

TRS termination of:
[1] plus(0,y) -> y
[2] plus(s(x),y) -> s(plus(x,y))
[3] lt(0,s(y)) -> true
[4] lt(x,0) -> false
[5] lt(s(x),s(y)) -> lt(x,y)
[6] fib(x) -> fibiter(x,0,0,s(0))
[7] fibiter(b,c,x,y) -> if(lt(c,b),b,c,x,y)
[8] if(false,b,c,x,y) -> x
[9] if(true,b,c,x,y) -> fibiter(b,s(c),y,plus(x,y))


Sub problem: 
guided: 

DP termination of:
<Marked_plus(s(x),y) , Marked_plus(x,y)>
<Marked_lt(s(x),s(y)) , Marked_lt(x,y)>
<Marked_fib(x) , Marked_fibiter(x,0,0,s(0))>
<Marked_fibiter(b,c,x,y) , Marked_if(lt(c,b),b,c,x,y)>
<Marked_fibiter(b,c,x,y) , Marked_lt(c,b)>
<Marked_if(true,b,c,x,y) , Marked_fibiter(b,s(c),y,plus(x,y))>
<Marked_if(true,b,c,x,y) , Marked_plus(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_if(true,b,c,x,y) , Marked_fibiter(b,s(c),y,plus(x,y))> 
      --> <Marked_fibiter(b,c,x,y) , Marked_if(lt(c,b),b,c,x,y)>
  <Marked_fibiter(b,c,x,y) , Marked_if(lt(c,b),b,c,x,y)> 
     --> <Marked_if(true,b,c,x,y) , Marked_fibiter(b,s(c),y,plus(x,y))>
}

{  <Marked_lt(s(x),s(y)) , Marked_lt(x,y)> 
      --> <Marked_lt(s(x),s(y)) , Marked_lt(x,y)>
}

{  <Marked_plus(s(x),y) , Marked_plus(x,y)> 
      --> <Marked_plus(s(x),y) , Marked_plus(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  plus(0,y) >= y ;
  plus(s(x),y) >= s(plus(x,y)) ;
  lt(0,s(y)) >= true ;
  lt(s(x),s(y)) >= lt(x,y) ;
  lt(x,0) >= false ;
  fibiter(b,c,x,y) >= if(lt(c,b),b,c,x,y) ;
  fib(x) >= fibiter(x,0,0,s(0)) ;
  if(true,b,c,x,y) >= fibiter(b,s(c),y,plus(x,y)) ;
  if(false,b,c,x,y) >= x ;
  Marked_if(true,b,c,x,y) >= Marked_fibiter(b,s(c),y,plus(x,y)) ;
  Marked_fibiter(b,c,x,y) >= Marked_if(lt(c,b),b,c,x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_if(true,b,c,x,y) > Marked_fibiter(b,s(c),y,plus(x,y)) ;
 }
{
  Marked_fibiter(b,c,x,y) > Marked_if(lt(c,b),b,c,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
=== 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 : 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:
{
  plus(0,y) >= y ;
  plus(s(x),y) >= s(plus(x,y)) ;
  lt(0,s(y)) >= true ;
  lt(s(x),s(y)) >= lt(x,y) ;
  lt(x,0) >= false ;
  fibiter(b,c,x,y) >= if(lt(c,b),b,c,x,y) ;
  fib(x) >= fibiter(x,0,0,s(0)) ;
  if(true,b,c,x,y) >= fibiter(b,s(c),y,plus(x,y)) ;
  if(false,b,c,x,y) >= x ;
  Marked_if(true,b,c,x,y) >= Marked_fibiter(b,s(c),y,plus(x,y)) ;
  Marked_fibiter(b,c,x,y) > Marked_if(lt(c,b),b,c,x,y) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  plus(0,y) >= y ;
  plus(s(x),y) >= s(plus(x,y)) ;
  lt(0,s(y)) >= true ;
  lt(s(x),s(y)) >= lt(x,y) ;
  lt(x,0) >= false ;
  fibiter(b,c,x,y) >= if(lt(c,b),b,c,x,y) ;
  fib(x) >= fibiter(x,0,0,s(0)) ;
  if(true,b,c,x,y) >= fibiter(b,s(c),y,plus(x,y)) ;
  if(false,b,c,x,y) >= x ;
  Marked_if(true,b,c,x,y) >= Marked_fibiter(b,s(c),y,plus(x,y)) ;
  Marked_fibiter(b,c,x,y) > Marked_if(lt(c,b),b,c,x,y) ;
 }
 + Disjunctions:{ 
 } 
=== 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 ===
No solution found for these parameters.(26170 bt (26556) [2035])
=== 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 (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 2.676870 seconds (real time)
Cime Exit Status: 0