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

TRS termination of:
[1] minus(x,0) -> x
[2] minus(s(x),s(y)) -> minus(x,y)
[3] quot(0,s(y)) -> 0
[4] quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
[5] le(0,y) -> true
[6] le(s(x),0) -> false
[7] le(s(x),s(y)) -> le(x,y)
[8] inc(s(x)) -> s(inc(x))
[9] inc(0) -> s(0)
[10] log(x) -> logIter(x,0)
[11] logIter(x,y) -> if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),inc(y))
[12] if(false,b,x,y) -> logZeroError
[13] if(true,false,x,s(y)) -> y
[14] if(true,true,x,y) -> logIter(x,y)


Sub problem: 
guided: 

DP termination of:
<Marked_minus(s(x),s(y)) , Marked_minus(x,y)>
<Marked_quot(s(x),s(y)) , Marked_quot(minus(x,y),s(y))>
<Marked_quot(s(x),s(y)) , Marked_minus(x,y)>
<Marked_le(s(x),s(y)) , Marked_le(x,y)>
<Marked_inc(s(x)) , Marked_inc(x)>
<Marked_log(x) , Marked_logIter(x,0)>
<Marked_logIter(x,y) , Marked_if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),
                        inc(y))>
<Marked_logIter(x,y) , Marked_le(s(0),x)>
<Marked_logIter(x,y) , Marked_le(s(s(0)),x)>
<Marked_logIter(x,y) , Marked_quot(x,s(s(0)))>
<Marked_logIter(x,y) , Marked_inc(y)>
<Marked_if(true,true,x,y) , Marked_logIter(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 5 components:

{  <Marked_if(true,true,x,y) , Marked_logIter(x,y)> 
      --> <Marked_logIter(x,y) , Marked_if(le(s(0),x),le(s(s(0)),x),
                                  quot(x,s(s(0))),inc(y))>
  <Marked_logIter(x,y) , Marked_if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),
                          inc(y))> 
     --> <Marked_if(true,true,x,y) , Marked_logIter(x,y)>
}

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

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

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

{  <Marked_inc(s(x)) , Marked_inc(x)> --> <Marked_inc(s(x)) , Marked_inc(x)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  minus(s(x),s(y)) >= minus(x,y) ;
  minus(x,0) >= x ;
  quot(0,s(y)) >= 0 ;
  quot(s(x),s(y)) >= s(quot(minus(x,y),s(y))) ;
  le(0,y) >= true ;
  le(s(x),0) >= false ;
  le(s(x),s(y)) >= le(x,y) ;
  inc(0) >= s(0) ;
  inc(s(x)) >= s(inc(x)) ;
  logIter(x,y) >= if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),inc(y)) ;
  log(x) >= logIter(x,0) ;
  if(true,true,x,y) >= logIter(x,y) ;
  if(true,false,x,s(y)) >= y ;
  if(false,b,x,y) >= logZeroError ;
  Marked_if(true,true,x,y) >= Marked_logIter(x,y) ;
  Marked_logIter(x,y) >= Marked_if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),
                          inc(y)) ;
 }
 + Disjunctions:{ 
{
  Marked_if(true,true,x,y) > Marked_logIter(x,y) ;
 }
{
  Marked_logIter(x,y) > Marked_if(le(s(0),x),le(s(s(0)),x),quot(x,s(s(0))),
                         inc(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 timeout reached
=== STOPING TIMER virtual ===
Time out 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 timeout reached
=== 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 92.585489 seconds (real time)
Cime Exit Status: 0