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

TRS termination of:
[1] times(x,y) -> sum(generate(x,y))
[2] generate(x,y) -> gen(x,y,0)
[3] gen(x,y,z) -> if(ge(z,x),x,y,z)
[4] if(true,x,y,z) -> nil
[5] if(false,x,y,z) -> cons(y,gen(x,y,s(z)))
[6] sum(nil) -> 0
[7] sum(cons(0,xs)) -> sum(xs)
[8] sum(cons(s(x),xs)) -> s(sum(cons(x,xs)))
[9] ge(x,0) -> true
[10] ge(0,s(y)) -> false
[11] ge(s(x),s(y)) -> ge(x,y)


Sub problem: 
guided: 

DP termination of:
<Marked_times(x,y) , Marked_sum(generate(x,y))>
<Marked_times(x,y) , Marked_generate(x,y)>
<Marked_generate(x,y) , Marked_gen(x,y,0)>
<Marked_gen(x,y,z) , Marked_if(ge(z,x),x,y,z)>
<Marked_gen(x,y,z) , Marked_ge(z,x)>
<Marked_if(false,x,y,z) , Marked_gen(x,y,s(z))>
<Marked_sum(cons(0,xs)) , Marked_sum(xs)>
<Marked_sum(cons(s(x),xs)) , Marked_sum(cons(x,xs))>
<Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_if(false,x,y,z) , Marked_gen(x,y,s(z))> 
      --> <Marked_gen(x,y,z) , Marked_if(ge(z,x),x,y,z)>
  <Marked_gen(x,y,z) , Marked_if(ge(z,x),x,y,z)> 
     --> <Marked_if(false,x,y,z) , Marked_gen(x,y,s(z))>
}

{  <Marked_sum(cons(s(x),xs)) , Marked_sum(cons(x,xs))> 
      --> <Marked_sum(cons(s(x),xs)) , Marked_sum(cons(x,xs))>
  <Marked_sum(cons(s(x),xs)) , Marked_sum(cons(x,xs))> 
     --> <Marked_sum(cons(0,xs)) , Marked_sum(xs)>
  <Marked_sum(cons(0,xs)) , Marked_sum(xs)> 
     --> <Marked_sum(cons(s(x),xs)) , Marked_sum(cons(x,xs))>
  <Marked_sum(cons(0,xs)) , Marked_sum(xs)> 
     --> <Marked_sum(cons(0,xs)) , Marked_sum(xs)>
}

{  <Marked_ge(s(x),s(y)) , Marked_ge(x,y)> 
      --> <Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  sum(nil) >= 0 ;
  sum(cons(0,xs)) >= sum(xs) ;
  sum(cons(s(x),xs)) >= s(sum(cons(x,xs))) ;
  generate(x,y) >= gen(x,y,0) ;
  times(x,y) >= sum(generate(x,y)) ;
  gen(x,y,z) >= if(ge(z,x),x,y,z) ;
  if(true,x,y,z) >= nil ;
  if(false,x,y,z) >= cons(y,gen(x,y,s(z))) ;
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  Marked_if(false,x,y,z) >= Marked_gen(x,y,s(z)) ;
  Marked_gen(x,y,z) >= Marked_if(ge(z,x),x,y,z) ;
 }
 + Disjunctions:{ 
{
  Marked_if(false,x,y,z) > Marked_gen(x,y,s(z)) ;
 }
{
  Marked_gen(x,y,z) > Marked_if(ge(z,x),x,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
=== 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:
{
  sum(nil) >= 0 ;
  sum(cons(0,xs)) >= sum(xs) ;
  sum(cons(s(x),xs)) >= s(sum(cons(x,xs))) ;
  generate(x,y) >= gen(x,y,0) ;
  times(x,y) >= sum(generate(x,y)) ;
  gen(x,y,z) >= if(ge(z,x),x,y,z) ;
  if(true,x,y,z) >= nil ;
  if(false,x,y,z) >= cons(y,gen(x,y,s(z))) ;
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  Marked_if(false,x,y,z) >= Marked_gen(x,y,s(z)) ;
  Marked_gen(x,y,z) > Marked_if(ge(z,x),x,y,z) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  sum(nil) >= 0 ;
  sum(cons(0,xs)) >= sum(xs) ;
  sum(cons(s(x),xs)) >= s(sum(cons(x,xs))) ;
  generate(x,y) >= gen(x,y,0) ;
  times(x,y) >= sum(generate(x,y)) ;
  gen(x,y,z) >= if(ge(z,x),x,y,z) ;
  if(true,x,y,z) >= nil ;
  if(false,x,y,z) >= cons(y,gen(x,y,s(z))) ;
  ge(0,s(y)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  Marked_if(false,x,y,z) >= Marked_gen(x,y,s(z)) ;
  Marked_gen(x,y,z) > Marked_if(ge(z,x),x,y,z) ;
 }
 + 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.(73452 bt (75648) [4995])
=== 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 7.009216 seconds (real time)
Cime Exit Status: 0