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

TRS termination of:
[1] p(0) -> 0
[2] p(s(x)) -> x
[3] minus(x,0) -> x
[4] minus(s(x),s(y)) -> minus(x,y)
[5] minus(x,s(y)) -> p(minus(x,y))
[6] div(0,s(y)) -> 0
[7] div(s(x),s(y)) -> s(div(minus(s(x),s(y)),s(y)))
[8] log(s(0),s(s(y))) -> 0
[9] log(s(s(x)),s(s(y))) -> s(log(div(minus(x,y),s(s(y))),s(s(y))))


Sub problem: 
guided: 

DP termination of:
<Marked_minus(s(x),s(y)) , Marked_minus(x,y)>
<Marked_minus(x,s(y)) , Marked_p(minus(x,y))>
<Marked_minus(x,s(y)) , Marked_minus(x,y)>
<Marked_div(s(x),s(y)) , Marked_div(minus(s(x),s(y)),s(y))>
<Marked_div(s(x),s(y)) , Marked_minus(s(x),s(y))>
<Marked_log(s(s(x)),s(s(y))) , Marked_log(div(minus(x,y),s(s(y))),s(s(y)))>
<Marked_log(s(s(x)),s(s(y))) , Marked_div(minus(x,y),s(s(y)))>
<Marked_log(s(s(x)),s(s(y))) , Marked_minus(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_log(s(s(x)),s(s(y))) , Marked_log(div(minus(x,y),s(s(y))),s(s(y)))> 
      --> <Marked_log(s(s(x)),s(s(y))) , Marked_log(div(minus(x,y),s(s(y))),
                                          s(s(y)))>
}

{  <Marked_div(s(x),s(y)) , Marked_div(minus(s(x),s(y)),s(y))> 
      --> <Marked_div(s(x),s(y)) , Marked_div(minus(s(x),s(y)),s(y))>
}

{  <Marked_minus(x,s(y)) , Marked_minus(x,y)> 
      --> <Marked_minus(x,s(y)) , Marked_minus(x,y)>
  <Marked_minus(x,s(y)) , Marked_minus(x,y)> 
     --> <Marked_minus(s(x),s(y)) , Marked_minus(x,y)>
  <Marked_minus(s(x),s(y)) , Marked_minus(x,y)> 
     --> <Marked_minus(x,s(y)) , Marked_minus(x,y)>
  <Marked_minus(s(x),s(y)) , Marked_minus(x,y)> 
     --> <Marked_minus(s(x),s(y)) , Marked_minus(x,y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  p(0) >= 0 ;
  p(s(x)) >= x ;
  minus(s(x),s(y)) >= minus(x,y) ;
  minus(x,0) >= x ;
  minus(x,s(y)) >= p(minus(x,y)) ;
  div(0,s(y)) >= 0 ;
  div(s(x),s(y)) >= s(div(minus(s(x),s(y)),s(y))) ;
  log(s(0),s(s(y))) >= 0 ;
  log(s(s(x)),s(s(y))) >= s(log(div(minus(x,y),s(s(y))),s(s(y)))) ;
  Marked_log(s(s(x)),s(s(y))) >= Marked_log(div(minus(x,y),s(s(y))),s(s(y))) ;
 }
 + Disjunctions:{ 
{
  Marked_log(s(s(x)),s(s(y))) > Marked_log(div(minus(x,y),s(s(y))),s(s(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 : 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 37.363767 seconds (real time)
Cime Exit Status: 0