int  Saig_ManFilterUsingIndOne2( Aig_Man_t * p, Aig_Man_t * pFrame, sat_solver * pSat, Cnf_Dat_t * pCnf, int nConfs, int nProps, int Counter 
                                 , int type_ /* jlong --  */
                                 )
{
  Aig_Obj_t * pObj;
  int Lit, status;
  pObj = Aig_ManCo( pFrame, Counter*3+type_ ); /* which co */
  Lit  = toLitCond( pCnf->pVarNums[Aig_ObjId(pObj)], 0 );
  status = sat_solver_solve( pSat, &Lit, &Lit + 1, (ABC_INT64_T)nConfs, 0, 0, 0 );
  if ( status == l_False )	/* unsat */
      return status;
  if ( status == l_Undef )
    {
      printf( "Solver returned undecided.\n" );
      return status;
    }
  assert( status == l_True );
  return status;
}

Aig_Man_t * Saig_ManCreateIndMiter2( Aig_Man_t * pAig, Vec_Vec_t * vCands )
{
  int nFrames = 3;
    Vec_Ptr_t * vNodes;
    Aig_Man_t * pFrames;
    Aig_Obj_t * pObj, * pObjLi, * pObjLo, * pObjNew;
    Aig_Obj_t ** pObjMap;
    int i, f, k;

    // create mapping for the frames nodes
    pObjMap  = ABC_CALLOC( Aig_Obj_t *, nFrames * Aig_ManObjNumMax(pAig) );

    // start the fraig package
    pFrames = Aig_ManStart( Aig_ManObjNumMax(pAig) * nFrames );
    pFrames->pName = Abc_UtilStrsav( pAig->pName );
    pFrames->pSpec = Abc_UtilStrsav( pAig->pSpec );
    // map constant nodes
    for ( f = 0; f < nFrames; f++ )
        Aig_ObjSetFrames( pObjMap, nFrames, Aig_ManConst1(pAig), f, Aig_ManConst1(pFrames) );
    // create PI nodes for the frames
    for ( f = 0; f < nFrames; f++ )
        Aig_ManForEachPiSeq( pAig, pObj, i )
            Aig_ObjSetFrames( pObjMap, nFrames, pObj, f, Aig_ObjCreateCi(pFrames) );
    // set initial state for the latches
    Aig_ManForEachLoSeq( pAig, pObj, i )
        Aig_ObjSetFrames( pObjMap, nFrames, pObj, 0, Aig_ObjCreateCi(pFrames) );

    // add timeframes
    for ( f = 0; f < nFrames; f++ )
    {
        // add internal nodes of this frame
        Aig_ManForEachNode( pAig, pObj, i )
        {
            pObjNew = Aig_And( pFrames, Aig_ObjChild0Frames(pObjMap,nFrames,pObj,f), Aig_ObjChild1Frames(pObjMap,nFrames,pObj,f) );
            Aig_ObjSetFrames( pObjMap, nFrames, pObj, f, pObjNew );
        }
        // set the latch inputs and copy them into the latch outputs of the next frame
        Aig_ManForEachLiLoSeq( pAig, pObjLi, pObjLo, i )
        {
            pObjNew = Aig_ObjChild0Frames(pObjMap,nFrames,pObjLi,f);
            if ( f < nFrames - 1 )
                Aig_ObjSetFrames( pObjMap, nFrames, pObjLo, f+1, pObjNew );
        }
    }
    
    // go through the candidates
    Vec_VecForEachLevel( vCands, vNodes, i )
    {
        Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, k )
        {
            Aig_Obj_t * pObjR  = Aig_Regular(pObj);
            Aig_Obj_t * pNode0 = pObjMap[nFrames*Aig_ObjId(pObjR)+0];
            Aig_Obj_t * pNode1 = pObjMap[nFrames*Aig_ObjId(pObjR)+1];
	    {
	      Aig_Obj_t * pFan0  = Aig_NotCond( pNode0,  Aig_IsComplement(pObj) );
	      Aig_Obj_t * pFan1  = Aig_NotCond( pNode1, !Aig_IsComplement(pObj) );
	      Aig_Obj_t * pMiter = Aig_And( pFrames, pFan0, pFan1 );
	      Aig_ObjCreateCo( pFrames, pMiter );
	    
	    /* need to check p & Xp is satisfiable */
	    /* jlong -- begin */
          {
	      Aig_Obj_t * pMiter2 = Aig_And( pFrames, pFan0, Aig_Not(pFan1));
	      Aig_ObjCreateCo( pFrames, pMiter2 ); 
          }
        /* jlong -- end  */
	    }

	    {			/* jlong -- begin */
	      Aig_Obj_t * pNode2 = pObjMap[nFrames*Aig_ObjId(pObjR)+2];
	      Aig_Obj_t * pFan0  = Aig_NotCond( pNode0,  Aig_IsComplement(pObj) );
	      Aig_Obj_t * pFan1  = Aig_NotCond( pNode1,  Aig_IsComplement(pObj) );
	      Aig_Obj_t * pFan2  = Aig_NotCond( pNode2, !Aig_IsComplement(pObj) );
	      Aig_Obj_t * pMiter = Aig_And( pFrames, Aig_And(pFrames, pFan0, pFan1 ), pFan2);
	      Aig_ObjCreateCo( pFrames, pMiter ); /* jlong -- end  */
	    }

        }
    }
    Aig_ManCleanup( pFrames );
    ABC_FREE( pObjMap );

//Aig_ManShow( pAig, 0, NULL );
//Aig_ManShow( pFrames, 0, NULL );
    return pFrames;
}

/**Function*************************************************************

   Synopsis    [Detects constraints functionally.]

   Description []
               
   SideEffects []

   SeeAlso     []

***********************************************************************/
void Saig_ManFilterUsingInd2( Aig_Man_t * p, Vec_Vec_t * vCands, int nConfs, int nProps, int fVerbose )
{
  Vec_Ptr_t * vNodes;
  Aig_Man_t * pFrames;
  sat_solver * pSat;
  Cnf_Dat_t * pCnf;
  Aig_Obj_t * pObj;
  int i, k, k2, Counter;
  /*
    Vec_VecForEachLevel( vCands, vNodes, i )
    Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, k )
    printf( "%d ", Aig_ObjId(Aig_Regular(pObj)) );
    printf( "\n" );
  */
  // create timeframes 
  //    pFrames = Saig_ManUnrollInd( p );
  pFrames = Saig_ManCreateIndMiter2( p, vCands );
  assert( Aig_ManCoNum(pFrames) == Vec_VecSizeSize(vCands)*3 );
  // start the SAT solver
  pCnf = Cnf_DeriveSimple( pFrames, Aig_ManCoNum(pFrames) );
  pSat = (sat_solver *)Cnf_DataWriteIntoSolver( pCnf, 1, 0 );
  // check candidates
  if ( fVerbose )
    printf( "Filtered cands:  \n" );
  Counter = 0;
  Vec_VecForEachLevel( vCands, vNodes, i )
    {
      assert(i==0);             /* only one item */
      k2 = 0;
      Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, k )
        {
          if ( Saig_ManFilterUsingIndOne2( p, pFrames, pSat, pCnf, nConfs, nProps, Counter++ , 0) == l_False)
            //            if ( Saig_ManFilterUsingIndOne_old( p, pSat, pCnf, nConfs, pObj ) )
            {
              Vec_PtrWriteEntry( vNodes, k2++, pObj );
              if ( fVerbose )
                printf( "%d:%s%d \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
              printf( " type I : %d:%s%d \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
              Vec_PtrPush(p->unfold2_type_I, pObj);
            }
          /* jlong -- begin  */
          else if ( Saig_ManFilterUsingIndOne2( p, pFrames, pSat, pCnf, nConfs, nProps, Counter-1 , 1) == l_True ) /* can be self-conflicting */
            {
              if ( Saig_ManFilterUsingIndOne2( p, pFrames, pSat, pCnf, nConfs, nProps, Counter-1 , 2) == l_False ){
                //Vec_PtrWriteEntry( vNodes, k2++, pObj );
                if ( fVerbose )
                  printf( "%d:%s%d  \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
                printf( " type II: %d:%s%d  \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
                Vec_PtrWriteEntry( vNodes, k2++, pObj ); /* add type II constraints */
                Vec_PtrPush(p->unfold2_type_II, pObj);
              }
            }
          /* jlong -- end  */
        }
      Vec_PtrShrink( vNodes, k2 );
    }

  // clean up
  Cnf_DataFree( pCnf );
  sat_solver_delete( pSat );
  if ( fVerbose )
    Aig_ManPrintStats( pFrames );
  Aig_ManStop( pFrames );
}


/**Function*************************************************************

   Synopsis    [Returns the number of variables implied by the output.]

   Description []
               
   SideEffects []

   SeeAlso     []

***********************************************************************/
Vec_Vec_t * Ssw_ManFindDirectImplications2( Aig_Man_t * p, int nFrames, int nConfs, int nProps, int fVerbose )
{
  Vec_Vec_t * vCands = NULL;
  Vec_Ptr_t * vNodes;
  Cnf_Dat_t * pCnf;
  sat_solver * pSat;
  Aig_Man_t * pFrames;
  Aig_Obj_t * pObj, * pRepr, * pReprR;
  int i, f, k, value;
  assert(nFrames == 1);
  vCands = Vec_VecAlloc( nFrames );
  assert(nFrames == 1);
  // perform unrolling
  pFrames = Saig_ManUnrollCOI( p, nFrames );
  assert( Aig_ManCoNum(pFrames) == 1 );
  // start the SAT solver
  pCnf = Cnf_DeriveSimple( pFrames, 0 );
  pSat = (sat_solver *)Cnf_DataWriteIntoSolver( pCnf, 1, 0 );
  if ( pSat != NULL )
    {
      Aig_ManIncrementTravId( p );
      for ( f = 0; f < nFrames; f++ )
        {
          Aig_ManForEachObj( p, pObj, i )
            {
              if ( !Aig_ObjIsCand(pObj) )
                continue;
              //--jlong : also use internal nodes as well
              /* if ( !Aig_ObjIsCi(pObj) ) */
              /*   continue; */ 
              if ( Aig_ObjIsTravIdCurrent(p, pObj) )
                continue;
              // get the node from timeframes
              pRepr  = p->pObjCopies[nFrames*i + nFrames-1-f];
              pReprR = Aig_Regular(pRepr);
              if ( pCnf->pVarNums[Aig_ObjId(pReprR)] < 0 )
                continue;
              //                value = pSat->assigns[ pCnf->pVarNums[Aig_ObjId(pReprR)] ];
              value = sat_solver_get_var_value( pSat, pCnf->pVarNums[Aig_ObjId(pReprR)] );
              if ( value == l_Undef )
                continue;
              // label this node as taken
              Aig_ObjSetTravIdCurrent(p, pObj);
              if ( Saig_ObjIsLo(p, pObj) )
                Aig_ObjSetTravIdCurrent( p, Aig_ObjFanin0(Saig_ObjLoToLi(p, pObj)) );
              // remember the node
              Vec_VecPush( vCands, f, Aig_NotCond( pObj, (value == l_True) ^ Aig_IsComplement(pRepr) ) );
              //        printf( "%s%d ", (value == l_False)? "":"!", i );
            }
        }
      //    printf( "\n" );
      sat_solver_delete( pSat );
    }
  Aig_ManStop( pFrames );
  Cnf_DataFree( pCnf );

  if ( fVerbose )
    {
      printf( "Found %3d candidates.\n", Vec_VecSizeSize(vCands) );
      Vec_VecForEachLevel( vCands, vNodes, k )
        {
          printf( "Level %d. Cands  =%d    ", k, Vec_PtrSize(vNodes) );
          //            Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, i )
          //                printf( "%d:%s%d ", k, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
          printf( "\n" );
        }
    }

  ABC_FREE( p->pObjCopies );
  /* -- jlong -- this does the SAT proof of the constraints */
  Saig_ManFilterUsingInd2( p, vCands, nConfs, nProps, fVerbose );
  if ( Vec_VecSizeSize(vCands) )
    printf( "Found %3d constraints after filtering.\n", Vec_VecSizeSize(vCands) );
  if ( fVerbose )
    {
      Vec_VecForEachLevel( vCands, vNodes, k )
        {
          printf( "Level %d. Constr =%d    ", k, Vec_PtrSize(vNodes) );
          //            Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, i )
          //                printf( "%d:%s%d ", k, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
          printf( "\n" );
        }
    }
  
  return vCands;
}

/**Function*************************************************************

   Synopsis    [Duplicates the AIG while unfolding constraints.]

   Description []
               
   SideEffects []

   SeeAlso     []

***********************************************************************/
Aig_Man_t * Saig_ManDupUnfoldConstrsFunc2( Aig_Man_t * pAig, int nFrames, int nConfs, int nProps, int fOldAlgo, int fVerbose , int * typeII_cnt){
  Aig_Man_t * pNew;
  Vec_Vec_t * vCands;
  Vec_Ptr_t  * vNewFlops;
  Aig_Obj_t * pObj;
  int i,  k, nNewFlops;
  const int fCompl = 0 ;
  if ( fOldAlgo )
    vCands = Saig_ManDetectConstrFunc( pAig, nFrames, nConfs, nProps, fVerbose );
  else
    vCands = Ssw_ManFindDirectImplications2( pAig, nFrames, nConfs, nProps, fVerbose );
  if ( vCands == NULL || Vec_VecSizeSize(vCands) == 0 )
    {
      Vec_VecFreeP( &vCands );
      return Aig_ManDupDfs( pAig );
    }
  // create new manager
  pNew = Aig_ManDupWithoutPos( pAig ); /* good */
  pNew->nConstrs = pAig->nConstrs + Vec_VecSizeSize(vCands);
  pNew->nConstrs = pAig->nConstrs + Vec_PtrSize(pAig->unfold2_type_II)
    + Vec_PtrSize(pAig->unfold2_type_I);
  //  pNew->nConstrsTypeII  = Vec_PtrSize(pAig->unfold2_type_II);
  *typeII_cnt = Vec_PtrSize(pAig->unfold2_type_II);

  /* new set of registers */
  
  // add normal POs
  Saig_ManForEachPo( pAig, pObj, i )
    Aig_ObjCreateCo( pNew, Aig_ObjChild0Copy(pObj) );
  // create constraint outputs
  vNewFlops = Vec_PtrAlloc( 100 );


  Vec_PtrForEachEntry(Aig_Obj_t * , pAig->unfold2_type_I, pObj, k){
    Aig_Obj_t * x = Aig_ObjRealCopy(pObj);
    Aig_ObjCreateCo(pNew, x);
  }
   
  Vec_PtrForEachEntry(Aig_Obj_t * , pAig->unfold2_type_II, pObj, k){
    Aig_Obj_t * type_II_latch
      = Aig_ObjCreateCi(pNew); /* will get connected later; */
    Aig_Obj_t * x = Aig_ObjRealCopy(pObj);
    
    Aig_Obj_t * n = Aig_And(pNew, 
                            Aig_NotCond(type_II_latch, fCompl),
                            Aig_NotCond(x, fCompl));
    Aig_ObjCreateCo(pNew, n);//Aig_Not(n));
  }                   
  
  // add latch outputs
  Saig_ManForEachLi( pAig, pObj, i )
    Aig_ObjCreateCo( pNew, Aig_ObjChild0Copy(pObj) );
  
  Vec_PtrForEachEntry(Aig_Obj_t * , pAig->unfold2_type_II, pObj, k){
    Aig_Obj_t * x = Aig_ObjRealCopy(pObj);
    Aig_ObjCreateCo(pNew, x);
  }                   

  // add new latch outputs
  nNewFlops = Vec_PtrSize(pAig->unfold2_type_II);
  //assert( nNewFlops == Vec_PtrSize(vNewFlops) );
  Aig_ManSetRegNum( pNew, Aig_ManRegNum(pAig) + nNewFlops );
  printf("#reg after unfold2: %d\n", Aig_ManRegNum(pAig) + nNewFlops );
  Vec_VecFreeP( &vCands );
  Vec_PtrFree( vNewFlops );
  return pNew;

}

/**Function*************************************************************

   Synopsis    [Duplicates the AIG while unfolding constraints.]

   Description []
               
   SideEffects []

   SeeAlso     []

***********************************************************************/
Aig_Man_t * Saig_ManDupFoldConstrsFunc2( Aig_Man_t * pAig, int fCompl, int fVerbose , 
                                         int typeII_cnt)
{
  Aig_Man_t * pAigNew;
  Aig_Obj_t * pMiter, * pFlopOut, * pFlopIn, * pObj;
  int i, typeII_cc, type_II;
  if ( Aig_ManConstrNum(pAig) == 0 )
    return Aig_ManDupDfs( pAig );
  assert( Aig_ManConstrNum(pAig) < Saig_ManPoNum(pAig) );
  // start the new manager
  pAigNew = Aig_ManStart( Aig_ManNodeNum(pAig) );
  pAigNew->pName = Abc_UtilStrsav( pAig->pName );
  pAigNew->pSpec = Abc_UtilStrsav( pAig->pSpec );
  // map the constant node
  Aig_ManConst1(pAig)->pData = Aig_ManConst1( pAigNew );
  // create variables for PIs
  Aig_ManForEachCi( pAig, pObj, i )
    pObj->pData = Aig_ObjCreateCi( pAigNew );
  // add internal nodes of this frame
  Aig_ManForEachNode( pAig, pObj, i )
    pObj->pData = Aig_And( pAigNew, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );

  // OR the constraint outputs
  pMiter = Aig_ManConst0( pAigNew );
  typeII_cc = 0;//typeII_cnt;
  typeII_cnt = 0;  
  type_II = 0;
    
  Saig_ManForEachPo( pAig, pObj, i )
    {
      
      if ( i < Saig_ManPoNum(pAig)-Aig_ManConstrNum(pAig) )
        continue;
      if (i + typeII_cnt >= Saig_ManPoNum(pAig) ) {
        type_II = 1;
      }
      /*  now we got the constraint */
      if (type_II) {

        Aig_Obj_t * type_II_latch
          = Aig_ObjCreateCi(pAigNew); /* will get connected later; */
        pMiter = Aig_Or(pAigNew, pMiter, 
                        Aig_And(pAigNew, 
                                Aig_NotCond(type_II_latch, fCompl),
                                Aig_NotCond( Aig_ObjChild0Copy(pObj), fCompl ) )
                        );
        printf( "modeling typeII : %d:%s%d \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
      } else 
        pMiter = Aig_Or( pAigNew, pMiter, Aig_NotCond( Aig_ObjChild0Copy(pObj), fCompl ) );
    }

  // create additional flop
  if ( Saig_ManRegNum(pAig) > 0 )
    {
      pFlopOut = Aig_ObjCreateCi( pAigNew );
      pFlopIn  = Aig_Or( pAigNew, pMiter, pFlopOut );
    }
  else 
    pFlopIn = pMiter;

  // create primary output
  Saig_ManForEachPo( pAig, pObj, i )
    {
      if ( i >= Saig_ManPoNum(pAig)-Aig_ManConstrNum(pAig) )
        continue;
      pMiter = Aig_And( pAigNew, Aig_ObjChild0Copy(pObj), Aig_Not(pFlopIn) );
      Aig_ObjCreateCo( pAigNew, pMiter );
    }

  // transfer to register outputs
  {
    /* the same for type I and type II */
    Aig_Obj_t * pObjLi, *pObjLo;

    Saig_ManForEachLiLo( pAig, pObjLi, pObjLo, i )	{
      if( i + typeII_cc < Aig_ManRegNum(pAig)) {
        Aig_Obj_t *c = Aig_Mux(pAigNew, Aig_Not(pFlopIn), 
                               Aig_ObjChild0Copy(pObjLi) ,
                               pObjLo->pData);
        Aig_ObjCreateCo( pAigNew, c);
      } else {
        printf ( "skipping: reg%d\n", i);
        Aig_ObjCreateCo( pAigNew,Aig_ObjChild0Copy(pObjLi));
      }
    }

  }
  if(0)Saig_ManForEachLi( pAig, pObj, i ) {
      Aig_ObjCreateCo( pAigNew, Aig_ObjChild0Copy(pObj) );
    }
  Aig_ManSetRegNum( pAigNew, Aig_ManRegNum(pAig) );
    
  type_II = 0;
  Saig_ManForEachPo( pAig, pObj, i )
    {
	
      if ( i < Saig_ManPoNum(pAig)-Aig_ManConstrNum(pAig) )
        continue;
      if (i + typeII_cnt >= Saig_ManPoNum(pAig) ) {
        type_II = 1;
      }
      /*  now we got the constraint */
      if (type_II) {
        Aig_ObjCreateCo( pAigNew, Aig_ObjChild0Copy(pObj));
        Aig_ManSetRegNum( pAigNew, Aig_ManRegNum(pAigNew)+1 );
        printf( "Latch for typeII : %d:%s%d \n", i, Aig_IsComplement(pObj)? "!":"", Aig_ObjId(Aig_Regular(pObj)) );
      }
    }

     
  // create additional flop 

  if ( Saig_ManRegNum(pAig) > 0 )
    {
      Aig_ObjCreateCo( pAigNew, pFlopIn );
      Aig_ManSetRegNum( pAigNew, Aig_ManRegNum(pAigNew)+1 );
    }
  printf("#reg after fold2: %d\n", Aig_ManRegNum(pAigNew));
  // perform cleanup
  Aig_ManCleanup( pAigNew );
  Aig_ManSeqCleanup( pAigNew );
  return pAigNew;
}