giaQbf.c

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#include "gia.h"
#include "sat/cnf/cnf.h"
#include "sat/bsat/satStore.h"
#include "misc/extra/extra.h"
#include "sat/glucose/AbcGlucose.h"
#include "misc/util/utilTruth.h"
#include "base/io/ioResub.h"
 
ABC_NAMESPACE_IMPL_START
 

 
typedef struct Qbf_Man_t_ Qbf_Man_t; 
struct Qbf_Man_t_
{
    Gia_Man_t *     pGia;           // original miter
    int             nPars;          // parameter variables
    int             nVars;          // functional variables
    int             fVerbose;       // verbose flag
    // internal variables
    int             iParVarBeg;     // SAT var ID of the first par variable in the ver solver
    sat_solver *    pSatVer;        // verification instance
    sat_solver *    pSatSyn;        // synthesis instance
    bmcg_sat_solver*pSatSynG;       // synthesis instance
    Vec_Int_t *     vValues;        // variable values
    Vec_Int_t *     vParMap;        // parameter mapping
    Vec_Int_t *     vLits;          // literals for the SAT solver
    abctime         clkStart;       // global timeout
    abctime         clkSat;         // SAT solver time
};


Vec_Int_t * Gia_GenCollectFlopIndexes( char * pStr, int nLutNum, int nLutSize, int nFlops )
{
    int nDups;
    char * pTemp;
    Vec_Int_t * vFlops;
    assert( nLutSize * nLutNum <= nFlops );
    if ( pStr == NULL )
        return Vec_IntStartNatural( nLutNum * nLutSize );
    vFlops = Vec_IntAlloc( nLutNum * nLutSize );
    pTemp = strtok( pStr, ", " );
    while ( pTemp )
    {
        int iFlop = atoi(pTemp);
        if ( iFlop >= nFlops )
        {
            printf( "Flop index (%d) exceeds the number of flops (%d).\n", iFlop, nFlops );
            break;
        }
        Vec_IntPush( vFlops, iFlop );
        pTemp = strtok( NULL, ", " );
    }
    if ( Vec_IntSize(vFlops) != nLutNum * nLutSize )
    {
        printf( "Gia_GenCollectFlopIndexes: Expecting %d flop indexes (instead of %d).\n", nLutNum * nLutSize, Vec_IntSize(vFlops) );
        Vec_IntFree( vFlops );
        return NULL;
    }
    nDups = Vec_IntCountDuplicates(vFlops);
    if ( nDups )
    {
        printf( "Gia_GenCollectFlopIndexes: There are %d duplicated flops in the list.\n", nDups );
        Vec_IntFree( vFlops );
        return NULL;
    }
    return vFlops;
}
int Gia_GenCreateMux_rec( Gia_Man_t * pNew, int * pCtrl, int nCtrl, Vec_Int_t * vData, int Shift )
{
    int iLit0, iLit1;
    if ( nCtrl == 0 )
        return Vec_IntEntry( vData, Shift );
    iLit0 = Gia_GenCreateMux_rec( pNew, pCtrl, nCtrl-1, vData, Shift );
    iLit1 = Gia_GenCreateMux_rec( pNew, pCtrl, nCtrl-1, vData, Shift + (1<<(nCtrl-1)) );
    return Gia_ManHashMux( pNew, pCtrl[nCtrl-1], iLit1, iLit0 );
}
Vec_Int_t * Gia_GenCreateMuxes( Gia_Man_t * p, Gia_Man_t * pNew, Vec_Int_t * vFlops, int nLutNum, int nLutSize, Vec_Int_t * vParLits, int fUseRi )
{
    Vec_Int_t * vLits = Vec_IntAlloc( nLutNum );
    int i, k, iMux, iFlop, pCtrl[16];
    // add MUXes for each group of flops
    assert( Vec_IntSize(vFlops) == nLutNum * nLutSize );
    for ( i = 0; i < nLutNum; i++ )
    {
        for ( k = 0; k < nLutSize; k++ )
        {
            iFlop = Vec_IntEntry(vFlops, i * nLutSize + k);
            assert( iFlop >= 0 && iFlop < Gia_ManRegNum(p) );
            if ( fUseRi )
                pCtrl[k] = Gia_ManRi(p, iFlop)->Value;
            else
                pCtrl[k] = Gia_ManRo(p, iFlop)->Value;
        }
        iMux = Gia_GenCreateMux_rec( pNew, pCtrl, nLutSize, vParLits, i * (1 << nLutSize) );
        Vec_IntPush( vLits, iMux );
    }
    return vLits;
}
Gia_Man_t * Gia_GenQbfMiter( Gia_Man_t * p, int nFrames, int nLutNum, int nLutSize, char * pStr, int fUseOut, int fVerbose )
{
    Gia_Obj_t * pObj; 
    Gia_Man_t * pTemp, * pNew;
    int i, iMiter, iLut0, iLut1, nPars = nLutNum * (1 << nLutSize);
    Vec_Int_t * vLits0, * vLits1, * vParLits;
    Vec_Int_t * vFlops = Gia_GenCollectFlopIndexes( pStr, nLutNum, nLutSize, Gia_ManRegNum(p) );
    // collect parameter literals (data vars)
    vParLits = Vec_IntAlloc( nPars );
    for ( i = 0; i < nPars; i++ )
        Vec_IntPush( vParLits, i ? Abc_Var2Lit(i+1, 0) : 1 );
    // create new manager
    pNew = Gia_ManStart( Gia_ManObjNum(p) );
    pNew->pName = Abc_UtilStrsav( p->pName );
    pNew->pSpec = Abc_UtilStrsav( p->pSpec );
    Gia_ManHashAlloc( pNew );
    Gia_ManConst0(p)->Value = 0;
    for ( i = 0; i < nPars; i++ )
        Gia_ManAppendCi( pNew );
    Gia_ManForEachCi( p, pObj, i )
        pObj->Value = Gia_ManAppendCi( pNew );
    Gia_ManForEachAnd( p, pObj, i )
        pObj->Value = Gia_ManHashAnd( pNew, Gia_ObjFanin0Copy(pObj), Gia_ObjFanin1Copy(pObj) );
    Gia_ManForEachCo( p, pObj, i )
        pObj->Value = Gia_ObjFanin0Copy(pObj);
    vLits0 = Gia_GenCreateMuxes( p, pNew, vFlops, nLutNum, nLutSize, vParLits, 0 );
    vLits1 = Gia_GenCreateMuxes( p, pNew, vFlops, nLutNum, nLutSize, vParLits, 1 );
    // create miter output
    //iMiter = Gia_ManHashAnd( pNew, Vec_IntEntry(vLits0, 0), Abc_LitNot(Vec_IntEntry(vLits1, 0)) );
    iLut0 = Vec_IntEntry(vLits0, 0);
    iLut1 = Vec_IntEntry(vLits1, 0);
    if ( fUseOut )
    {
        Gia_Obj_t * pObjPoLast = Gia_ManPo( p, Gia_ManPoNum(p)-1 );
        int iOut = Abc_LitNotCond( Gia_ObjFanin0Copy(pObjPoLast), 0 );
        iLut1 = Gia_ManHashAnd( pNew, iLut1, Abc_LitNot(iOut) );
    }
    iMiter = Gia_ManHashAnd( pNew, iLut0, Abc_LitNot(iLut1) );
    iMiter = Gia_ManHashAnd( pNew, Abc_LitNot(iMiter), Abc_Var2Lit(1, 0) );
    Gia_ManAppendCo( pNew, iMiter );
    // cleanup
    Vec_IntFree( vLits0 );
    Vec_IntFree( vLits1 );
    Vec_IntFree( vFlops );
    Vec_IntFree( vParLits );
    pNew = Gia_ManCleanup( pTemp = pNew );
    Gia_ManStop( pTemp );
    return pNew;
}
 

int Gia_Gen2CreateMux_rec( Gia_Man_t * pNew, int * pCtrl, int nCtrl, Vec_Int_t * vData, int Shift )
{
    int iLit0, iLit1;
    if ( nCtrl == 0 )
        return Vec_IntEntry( vData, Shift );
    iLit0 = Gia_Gen2CreateMux_rec( pNew, pCtrl, nCtrl-1, vData, Shift );
    iLit1 = Gia_Gen2CreateMux_rec( pNew, pCtrl, nCtrl-1, vData, Shift + (1<<(nCtrl-1)) );
    return Gia_ManHashMux( pNew, pCtrl[nCtrl-1], iLit1, iLit0 );
}
Vec_Int_t * Gia_Gen2CreateMuxes( Gia_Man_t * pNew, int nLutSize, int nLutNum, Vec_Int_t * vPLits, Vec_Int_t * vXLits )
{
    Vec_Int_t * vLits = Vec_IntAlloc( nLutNum );
    int i, iMux;
    // add MUXes for each group of flops
    assert( Vec_IntSize(vPLits) == nLutNum * (1 << nLutSize) );
    assert( Vec_IntSize(vXLits) == nLutSize );
    for ( i = 0; i < nLutNum; i++ )
    {
        iMux = Gia_Gen2CreateMux_rec( pNew, Vec_IntArray(vXLits), nLutSize, vPLits, i * (1 << nLutSize) );
        Vec_IntPush( vLits, iMux );
    }
    return vLits;
}
Gia_Man_t * Gia_Gen2CreateMiter( int nLutSize, int nLutNum )
{
    // |<-- PVars(0)-->|...|<-- PVars(nLutNum-1)-->|<-- XVars-->|<-- YVars-->|
    Vec_Int_t * vPLits  = Vec_IntAlloc( nLutNum * (1 << nLutSize) );
    Vec_Int_t * vXLits  = Vec_IntAlloc( nLutSize );
    Vec_Int_t * vYLits  = Vec_IntAlloc( nLutSize );
    Vec_Int_t * vXYLits = Vec_IntAlloc( nLutSize );
    Vec_Int_t * vXRes, * vYRes, * vXYRes;
    Vec_Int_t * vXYRes2 = Vec_IntAlloc( 2 * nLutNum );
    Gia_Man_t * pTemp, * pNew = Gia_ManStart( 1000 ); int i, k, v, Cond, Res;
    pNew->pName = Abc_UtilStrsav( "homoqbf" );
    Gia_ManHashAlloc( pNew );
    for ( i = 0; i < nLutNum * (1 << nLutSize); i++ )
        Vec_IntPush( vPLits, Gia_ManAppendCi(pNew) );
    for ( i = 0; i < nLutSize; i++ )
        Vec_IntPush( vXLits, Gia_ManAppendCi(pNew) );
    for ( i = 0; i < nLutSize; i++ )
        Vec_IntPush( vYLits, Gia_ManAppendCi(pNew) );
    for ( i = 0; i < nLutSize; i++ )
        Vec_IntPush( vXYLits, Abc_LitNot(Gia_ManHashAnd(pNew, Vec_IntEntry(vXLits, i), Vec_IntEntry(vYLits, i))) );
    vXRes  = Gia_Gen2CreateMuxes( pNew, nLutSize, nLutNum, vPLits, vXLits );
    vYRes  = Gia_Gen2CreateMuxes( pNew, nLutSize, nLutNum, vPLits, vYLits );
    vXYRes = Gia_Gen2CreateMuxes( pNew, nLutSize, nLutNum, vPLits, vXYLits );
    for ( i = 0; i < nLutNum; i++ )
    {
        Vec_IntPush( vXYRes2, Vec_IntEntry(vXYRes, i) );
        Vec_IntPush( vXYRes2, Abc_LitNot(Gia_ManHashAnd(pNew, Vec_IntEntry(vXRes, i), Vec_IntEntry(vYRes, i))) );
    }
    Res = Gia_ManHashDualMiter( pNew, vXYRes2 );
    // uniqueness of codes
    for ( i = 0; i < (1 << nLutSize); i++ )
    {
        Vec_Int_t * vCondA = Vec_IntAlloc( nLutNum );
        Vec_Int_t * vCondB = Vec_IntAlloc( nLutNum );
        for ( v = 0; v < nLutNum; v++ )
            Vec_IntPush( vCondA, Vec_IntEntry(vPLits, v*(1 << nLutSize)+i) );
        for ( k = i+1; k < (1 << nLutSize); k++ )
        {
            Vec_IntClear( vCondB );
            for ( v = 0; v < nLutNum; v++ )
            {
                Vec_IntPush( vCondB, Vec_IntEntry(vCondA, v) );
                Vec_IntPush( vCondB, Vec_IntEntry(vPLits, v*(1 << nLutSize)+k) );
            }
            Cond = Gia_ManHashDualMiter( pNew, vCondB );
            Res = Gia_ManHashOr( pNew, Res, Abc_LitNot(Cond) );
        }
        Vec_IntFree( vCondA );
        Vec_IntFree( vCondB );
    }
    Gia_ManAppendCo( pNew, Abc_LitNot(Res) );
    Gia_ManHashStop( pNew );
    Vec_IntFree( vPLits );
    Vec_IntFree( vXLits );
    Vec_IntFree( vYLits );
    Vec_IntFree( vXYLits );
    Vec_IntFree( vXRes );
    Vec_IntFree( vYRes );
    Vec_IntFree( vXYRes );
    Vec_IntFree( vXYRes2 );
    pNew = Gia_ManCleanup( pTemp = pNew );
    Gia_ManStop( pTemp );
    printf( "Generated QBF miter with %d parameters, %d functional variables, and %d AIG nodes.\n", 
        nLutNum * (1 << nLutSize), 2*nLutSize, Gia_ManAndNum(pNew) );
    return pNew;
}
int Gia_Gen2CodeOne( int nLutSize, int nLutNum, Vec_Int_t * vCode, int x )
{
    int k, Code = 0;
    for ( k = 0; k < nLutNum; k++ )
        if ( Vec_IntEntry(vCode, k*(1 << nLutSize)+x) )
            Code |= (1 << k);
    return Code;
}
word * Gia_Gen2CodeOneP( int nLutSize, int nLutNum, Vec_Int_t * vCode, int x )
{
    word * pRes = ABC_CALLOC( word, Abc_Bit6WordNum(nLutNum) );
    int k;
    for ( k = 0; k < nLutNum; k++ )
        if ( Vec_IntEntry(vCode, k*(1 << nLutSize)+x) )
            Abc_InfoSetBit( (unsigned *)pRes, k );
    return pRes;
}
void Gia_Gen2CodePrint( int nLutSize, int nLutNum, Vec_Int_t * vCode )
{
    // |<-- PVars(0)-->|...|<-- PVars(nLutNum-1)-->|
    int i, n, nPairs = 16;
    printf( "%d-input %d-output code table:\n", nLutSize, nLutNum );
    for ( i = 0; i < (1 << nLutSize); i++ )
    {
        word * CodeX  = Gia_Gen2CodeOneP( nLutSize, nLutNum, vCode, i );
        printf( "%3d  ", i );
        Extra_PrintBinary( stdout, (unsigned *)&i, nLutSize );
        printf( "  -->  " );
        if ( nLutNum <= 16 )
            printf( "%5d  ", (int)CodeX[0] );
        Extra_PrintBinary( stdout, (unsigned *)CodeX, nLutNum );
        printf( "\n" );
        ABC_FREE( CodeX );
    }
    // create several different pairs
    srand( time(NULL) );
    printf( "Simulation of the encoding with %d random pairs:\n", nPairs );
    for ( n = 0; n < nPairs; n++ )
    {
        unsigned MaskIn = Abc_InfoMask( nLutSize );
        int NumX = 0, NumY = 0, NumXY, nWords = Abc_Bit6WordNum(nLutNum);
        word * CodeX, * CodeY, * CodeXY;
        word * CodeXCodeY = ABC_CALLOC( word, nWords );
        while ( NumX == NumY )
        {
            NumX = rand() % (1 << nLutSize);
            NumY = rand() % (1 << nLutSize);
            NumXY = MaskIn & ~(NumX & NumY);
        }
        CodeX  = Gia_Gen2CodeOneP( nLutSize, nLutNum, vCode, NumX );
        CodeY  = Gia_Gen2CodeOneP( nLutSize, nLutNum, vCode, NumY );
        CodeXY = Gia_Gen2CodeOneP( nLutSize, nLutNum, vCode, NumXY );
        Abc_TtAnd( CodeXCodeY, CodeX, CodeY, nWords, 1 );
        if ( nLutNum < 64*nWords )
            CodeXCodeY[nWords-1] &= Abc_Tt6Mask(nLutNum % 64);            
 
        printf( "%2d :", n );
        printf( " x =%3d ", NumX );
        Extra_PrintBinary( stdout,(unsigned *) &NumX, nLutSize );
        printf( " y =%3d ", NumY );
        Extra_PrintBinary( stdout, (unsigned *)&NumY, nLutSize );
        printf( " nand =%3d ", NumXY );
        Extra_PrintBinary( stdout, (unsigned *)&NumXY, nLutSize );
        printf( "  " );
 
        printf( " c(x) = " );
        Extra_PrintBinary( stdout, (unsigned *)CodeX, nLutNum );
        printf( " c(y) = " );
        Extra_PrintBinary( stdout, (unsigned *)CodeY, nLutNum );
        printf( " c(nand) = " );
        Extra_PrintBinary( stdout, (unsigned *)CodeXY, nLutNum );
        printf( "  nand(c(x),c(y)) = " );
        Extra_PrintBinary( stdout, (unsigned *)CodeXCodeY, nLutNum );
        printf( "  " );
 
        printf( "%s", Abc_TtEqual(CodeXCodeY, CodeXY, nWords) ? "yes" : "no" );
        printf( "\n" );
 
        ABC_FREE( CodeX );
        ABC_FREE( CodeY );
        ABC_FREE( CodeXY );
        ABC_FREE( CodeXCodeY );
    }
}
void Gia_Gen2CodeTest()
{
    int i, nLutSize = 1, nLutNum = 2;
    Vec_Int_t * vCode = Vec_IntAlloc( (1 << nLutSize) * nLutNum );
    srand( time(NULL) );
    for ( i = 0; i < (1 << nLutSize) * nLutNum; i++ )
        Vec_IntPush( vCode, rand() & 1 );
    Gia_Gen2CodePrint( nLutSize, nLutNum, vCode );
    Vec_IntFree( vCode );
}

int Gia_ManSatEnum( Gia_Man_t * pGia, int nConfLimit, int nTimeOut, int fVerbose )
{
    Cnf_Dat_t * pCnf;
    sat_solver * pSat;
    Vec_Int_t * vLits;
    int i, iLit, iParVarBeg, Iter;
    int nSolutions = 0, RetValue = 0;
    abctime clkStart = Abc_Clock();
    pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pGia, 8, 0, 1, 0, 0 );
    pSat = (sat_solver *)Cnf_DataWriteIntoSolver( pCnf, 1, 0 );
    iParVarBeg = pCnf->nVars - Gia_ManPiNum(pGia);// - 1;
    Cnf_DataFree( pCnf );
    // iterate through the SAT assignment
    vLits = Vec_IntAlloc( Gia_ManPiNum(pGia) );
    for ( Iter = 1 ; ; Iter++ )
    {
        int status = sat_solver_solve( pSat, NULL, NULL, (ABC_INT64_T)nConfLimit, 0, 0, 0 );
        if ( status == l_False ) { RetValue =  1; break; }
        if ( status == l_Undef ) { RetValue =  0; break; }
        nSolutions++;
        // extract SAT assignment
        Vec_IntClear( vLits );
        for ( i = 0; i < Gia_ManPiNum(pGia); i++ )
            Vec_IntPush( vLits, Abc_Var2Lit(iParVarBeg+i, sat_solver_var_value(pSat, iParVarBeg+i)) );
        if ( fVerbose )
        {
            printf( "%5d : ", Iter );
            Vec_IntForEachEntry( vLits, iLit, i )
                printf( "%d", !Abc_LitIsCompl(iLit) );
            printf( "\n" );
        }
        // add clause
        if ( !sat_solver_addclause( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits) ) )
            { RetValue =  1; break; }
        if ( nTimeOut && (Abc_Clock() - clkStart)/CLOCKS_PER_SEC >= nTimeOut ) { RetValue = 0; break; }
    }
    sat_solver_delete( pSat );
    Vec_IntFree( vLits );
    if ( nTimeOut && (Abc_Clock() - clkStart)/CLOCKS_PER_SEC >= nTimeOut )
        printf( "Enumerated %d assignments when timeout (%d sec) was reached.  ", nSolutions, nTimeOut );
    else if ( nConfLimit && !RetValue )
        printf( "Enumerated %d assignments when conflict limit (%d) was reached.  ", nSolutions, nConfLimit );
    else 
        printf( "Enumerated the complete set of %d assignments.  ", nSolutions );
    Abc_PrintTime( 1, "Time", Abc_Clock() - clkStart );
    return RetValue;
}

void Gia_QbfDumpFile( Gia_Man_t * pGia, int nPars )
{
    // original problem: \exists p \forall x \exists y.  M(p,x,y)
    // negated problem:  \forall p \exists x \exists y. !M(p,x,y)
    Cnf_Dat_t * pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pGia, 8, 0, 1, 0, 0 );
    Vec_Int_t * vVarMap, * vForAlls, * vExists;
    Gia_Obj_t * pObj;
    char * pFileName;
    int i, Entry;
    // create var map
    vVarMap = Vec_IntStart( pCnf->nVars );
    Gia_ManForEachCi( pGia, pObj, i )
        if ( i < nPars )
            Vec_IntWriteEntry( vVarMap, pCnf->pVarNums[Gia_ManCiIdToId(pGia, i)], 1 );
    // create various maps
    vForAlls = Vec_IntAlloc( nPars );
    vExists = Vec_IntAlloc( Gia_ManCiNum(pGia) - nPars );
    Vec_IntForEachEntry( vVarMap, Entry, i )
        if ( Entry )
            Vec_IntPush( vForAlls, i );
        else
            Vec_IntPush( vExists, i );
    // generate CNF
    pFileName = Extra_FileNameGenericAppend( pGia->pSpec, ".qdimacs" );
    Cnf_DataWriteIntoFile( pCnf, pFileName, 0, vForAlls, vExists );
    Cnf_DataFree( pCnf );
    Vec_IntFree( vForAlls );
    Vec_IntFree( vExists );
    Vec_IntFree( vVarMap );
    printf( "The 2QBF formula was written into file \"%s\".\n", pFileName );
}
void Gia_QbfDumpFileInv( Gia_Man_t * pGia, int nPars )
{
    // original problem: \exists p \forall x \exists y.  M(p,x,y)
    // negated problem:  \forall p \exists x \exists y. !M(p,x,y)
    Cnf_Dat_t * pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pGia, 8, 0, 1, 0, 0 );
    Vec_Int_t * vVarMap, * vForAlls, * vExists1, * vExists2;
    Gia_Obj_t * pObj;
    char * pFileName;
    int i, Entry;
    // complement the last clause
    //int * pLit = pCnf->pClauses[pCnf->nClauses] - 1; *pLit ^= 1;
    // create var map
    vVarMap = Vec_IntStart( pCnf->nVars );
    Gia_ManForEachCi( pGia, pObj, i )
        Vec_IntWriteEntry( vVarMap, pCnf->pVarNums[Gia_ManCiIdToId(pGia, i)], i < nPars ? 1 : 2 );
    // create various maps
    vExists1 = Vec_IntAlloc( nPars );
    vForAlls = Vec_IntAlloc( Gia_ManCiNum(pGia) - nPars );
    vExists2 = Vec_IntAlloc( pCnf->nVars - Gia_ManCiNum(pGia)  );
    Vec_IntForEachEntry( vVarMap, Entry, i )
        if ( Entry == 1 )
            Vec_IntPush( vExists1, i );
        else if ( Entry == 2 )
            Vec_IntPush( vForAlls, i );
        else
            Vec_IntPush( vExists2, i );
    // generate CNF
    pFileName = Extra_FileNameGenericAppend( pGia->pSpec, ".qdimacs" );
    Cnf_DataWriteIntoFileInv( pCnf, pFileName, 0, vExists1, vForAlls, vExists2 );
    Cnf_DataFree( pCnf );
    Vec_IntFree( vExists1 );
    Vec_IntFree( vForAlls );
    Vec_IntFree( vExists2 );
    Vec_IntFree( vVarMap );
    printf( "The 2QBF formula was written into file \"%s\".\n", pFileName );
}
 
 
 

Qbf_Man_t * Gia_QbfAlloc( Gia_Man_t * pGia, int nPars, int fGlucose, int fVerbose )
{
    Qbf_Man_t * p;
    Cnf_Dat_t * pCnf;
    Gia_ObjFlipFaninC0( Gia_ManPo(pGia, 0) );
    pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pGia, 8, 0, 1, 0, 0 );
    Gia_ObjFlipFaninC0( Gia_ManPo(pGia, 0) );
    p = ABC_CALLOC( Qbf_Man_t, 1 );
    p->clkStart   = Abc_Clock();
    p->pGia       = pGia;
    p->nPars      = nPars;
    p->nVars      = Gia_ManPiNum(pGia) - nPars;
    p->fVerbose   = fVerbose;
    p->iParVarBeg = pCnf->nVars - Gia_ManPiNum(pGia);// - 1;
    p->pSatVer    = (sat_solver *)Cnf_DataWriteIntoSolver( pCnf, 1, 0 );
    p->pSatSyn    = sat_solver_new();
    p->pSatSynG   = fGlucose ? bmcg_sat_solver_start() : NULL; 
    p->vValues    = Vec_IntAlloc( Gia_ManPiNum(pGia) );
    p->vParMap    = Vec_IntStartFull( nPars );
    p->vLits      = Vec_IntAlloc( nPars );
    sat_solver_setnvars( p->pSatSyn, nPars );
    if ( p->pSatSynG ) bmcg_sat_solver_set_nvars( p->pSatSynG, nPars );
    Cnf_DataFree( pCnf );
    return p;
}
void Gia_QbfFree( Qbf_Man_t * p )
{
    sat_solver_delete( p->pSatVer );
    sat_solver_delete( p->pSatSyn );
    if ( p->pSatSynG ) bmcg_sat_solver_stop( p->pSatSynG );
    Vec_IntFree( p->vLits );
    Vec_IntFree( p->vValues );
    Vec_IntFree( p->vParMap );
    ABC_FREE( p );
}

Gia_Man_t * Gia_QbfQuantifyOne( Gia_Man_t * p, int iVar, int fAndAll, int fOrAll )
{
    Gia_Man_t * pNew, * pTemp;
    Gia_Obj_t * pObj; 
    Vec_Int_t * vCofs;
    int i, c;
    pNew = Gia_ManStart( Gia_ManObjNum(p) );
    pNew->pName = Abc_UtilStrsav( p->pName );
    Gia_ManHashAlloc( pNew );
    Gia_ManFillValue( p );
    Gia_ManConst0(p)->Value = 0;
    Gia_ManForEachPi( p, pObj, i )
        pObj->Value = Gia_ManAppendCi(pNew);
    // compute cofactors
    vCofs = Vec_IntAlloc( 2 * Gia_ManPoNum(p) );
    for ( c = 0; c < 2; c++ )
    {
        Gia_ManPi(p, iVar)->Value = c;
        Gia_ManForEachAnd( p, pObj, i )
            pObj->Value = Gia_ManHashAnd( pNew, Gia_ObjFanin0Copy(pObj), Gia_ObjFanin1Copy(pObj) );
        Gia_ManForEachPo( p, pObj, i )
            Vec_IntPush( vCofs, Gia_ObjFanin0Copy(pObj) );
    }
    if ( fAndAll )
    {
        for ( i = 0; i < Gia_ManPoNum(p); i++ )
            Gia_ManAppendCo( pNew, Gia_ManHashAnd(pNew, Vec_IntEntry(vCofs, i), Vec_IntEntry(vCofs, Gia_ManPoNum(p)+i)) );
    }
    else if ( fOrAll )
    {
        for ( i = 0; i < Gia_ManPoNum(p); i++ )
            Gia_ManAppendCo( pNew, Gia_ManHashOr(pNew, Vec_IntEntry(vCofs, i), Vec_IntEntry(vCofs, Gia_ManPoNum(p)+i)) );
    }
    else
    {
        Vec_IntForEachEntry( vCofs, c, i )
            Gia_ManAppendCo( pNew, c );
    }
    Vec_IntFree( vCofs );
    pNew = Gia_ManCleanup( pTemp = pNew );
    Gia_ManStop( pTemp );
    return pNew;
}
Gia_Man_t * Gia_QbfQuantifyAll( Gia_Man_t * p, int nPars, int fAndAll, int fOrAll )
{
    Gia_Man_t * pNew, * pTemp; int v;
    pNew = Gia_ManDup( p );
    for ( v = Gia_ManPiNum(p) - 1; v >= nPars; v-- )
    {
        pNew = Gia_QbfQuantifyOne( pTemp = pNew, v, fAndAll, fOrAll );
        Gia_ManStop( pTemp );
    }
    return pNew;
}

Gia_Man_t * Gia_QbfCofactor( Gia_Man_t * p, int nPars, Vec_Int_t * vValues, Vec_Int_t * vParMap )
{
    Gia_Man_t * pNew, * pTemp;
    Gia_Obj_t * pObj; int i;
    assert( Gia_ManPiNum(p) == nPars + Vec_IntSize(vValues) );
    pNew = Gia_ManStart( Gia_ManObjNum(p) );
    pNew->pName = Abc_UtilStrsav( p->pName );
    Gia_ManHashAlloc( pNew );
    Gia_ManConst0(p)->Value = 0;
    Gia_ManForEachPi( p, pObj, i )
        if ( i < nPars )
        {
            pObj->Value = Gia_ManAppendCi(pNew);
            if ( Vec_IntEntry(vParMap, i) != -1 )
                pObj->Value = Vec_IntEntry(vParMap, i);
        }
        else
            pObj->Value = Vec_IntEntry(vValues, i - nPars);
    Gia_ManForEachAnd( p, pObj, i )
        pObj->Value = Gia_ManHashAnd( pNew, Gia_ObjFanin0Copy(pObj), Gia_ObjFanin1Copy(pObj) );
    Gia_ManForEachCo( p, pObj, i )
        pObj->Value = Gia_ManAppendCo( pNew, Gia_ObjFanin0Copy(pObj) );
    pNew = Gia_ManCleanup( pTemp = pNew );
    Gia_ManStop( pTemp );
    assert( Gia_ManPiNum(pNew) == nPars );
    return pNew;
}
/*
int Gia_QbfAddCofactor( Qbf_Man_t * p, Gia_Man_t * pCof )
{
    Cnf_Dat_t * pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pCof, 8, 0, 1, 0, 0 );
    int i, iFirstVar = sat_solver_nvars(p->pSatSyn) + pCnf->nVars - Gia_ManPiNum(pCof);// - 1;
    pCnf->pMan = NULL;
    Cnf_DataLift( pCnf, sat_solver_nvars(p->pSatSyn) );
    for ( i = 0; i < pCnf->nClauses; i++ )
        if ( !sat_solver_addclause( p->pSatSyn, pCnf->pClauses[i], pCnf->pClauses[i+1] ) )
        {
            Cnf_DataFree( pCnf );
            return 0;
        }
    Cnf_DataFree( pCnf );
    // add connection clauses
    for ( i = 0; i < Gia_ManPiNum(p->pGia); i++ )
        if ( !sat_solver_add_buffer( p->pSatSyn, i, iFirstVar+i, 0 ) )
            return 0;
    return 1;
}
*/
void Cnf_SpecialDataLift( Cnf_Dat_t * p, int nVarsPlus, int firstPiVar, int lastPiVar)
{
    int v, var;
    for ( v = 0; v < p->nLiterals; v++ )
    {
        var = p->pClauses[0][v] / 2;
        if (var < firstPiVar || var >= lastPiVar)
            p->pClauses[0][v] += 2*nVarsPlus;
        else 
            p->pClauses[0][v] -= 2*firstPiVar;
    }
}
 
int Gia_QbfAddCofactor( Qbf_Man_t * p, Gia_Man_t * pCof )
{
    Cnf_Dat_t * pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pCof, 8, 0, 1, 0, 0 );
    int i, useold = 0;
    int iFirstVar = useold ? sat_solver_nvars(p->pSatSyn) + pCnf->nVars - Gia_ManPiNum(pCof) : pCnf->nVars - Gia_ManPiNum(pCof); //-1   
    pCnf->pMan = NULL;
    
    if (useold)    
        Cnf_DataLift( pCnf, sat_solver_nvars(p->pSatSyn) );
    else
        Cnf_SpecialDataLift( pCnf, sat_solver_nvars(p->pSatSyn), iFirstVar, iFirstVar + Gia_ManPiNum(p->pGia) );
 
    for ( i = 0; i < pCnf->nClauses; i++ )
        if ( !sat_solver_addclause( p->pSatSyn, pCnf->pClauses[i], pCnf->pClauses[i+1] ) )
        {
            Cnf_DataFree( pCnf );
            return 0;
        }
    Cnf_DataFree( pCnf );
    // add connection clauses
    if (useold)
           for ( i = 0; i < Gia_ManPiNum(p->pGia); i++ )
            if ( !sat_solver_add_buffer( p->pSatSyn, i, iFirstVar+i, 0 ) )
                return 0;
    return 1;
}
int Gia_QbfAddCofactorG( Qbf_Man_t * p, Gia_Man_t * pCof )
{
    Cnf_Dat_t * pCnf = (Cnf_Dat_t *)Mf_ManGenerateCnf( pCof, 8, 0, 1, 0, 0 );
    int i, iFirstVar = pCnf->nVars - Gia_ManPiNum(pCof); //-1   
    pCnf->pMan = NULL;
    Cnf_SpecialDataLift( pCnf, bmcg_sat_solver_varnum(p->pSatSynG), iFirstVar, iFirstVar + Gia_ManPiNum(p->pGia) );
    for ( i = 0; i < pCnf->nClauses; i++ )
        if ( !bmcg_sat_solver_addclause( p->pSatSynG, pCnf->pClauses[i], pCnf->pClauses[i+1]-pCnf->pClauses[i] ) )
        {
            Cnf_DataFree( pCnf );
            return 0;
        }
    Cnf_DataFree( pCnf );
    return 1;
}

void Gia_QbfOnePattern( Qbf_Man_t * p, Vec_Int_t * vValues )
{
    int i;
    Vec_IntClear( vValues );
    for ( i = 0; i < p->nPars; i++ )
        Vec_IntPush( vValues, p->pSatSynG ? bmcg_sat_solver_read_cex_varvalue(p->pSatSynG, i) : sat_solver_var_value(p->pSatSyn, i) );
}
void Gia_QbfPrint( Qbf_Man_t * p, Vec_Int_t * vValues, int Iter )
{
    printf( "%5d : ", Iter );
    assert( Vec_IntSize(vValues) == p->nVars );
    Vec_IntPrintBinary( vValues ); printf( "  " );
    printf( "Var =%7d  ",  p->pSatSynG ? bmcg_sat_solver_varnum(p->pSatSynG)      : sat_solver_nvars(p->pSatSyn)      );
    printf( "Cla =%7d  ",  p->pSatSynG ? bmcg_sat_solver_clausenum(p->pSatSynG)   : sat_solver_nclauses(p->pSatSyn)   );
    printf( "Conf =%9d  ", p->pSatSynG ? bmcg_sat_solver_conflictnum(p->pSatSynG) : sat_solver_nconflicts(p->pSatSyn) );
    Abc_PrintTime( 1, "Time", Abc_Clock() - p->clkStart );
}

int Gia_QbfVerify( Qbf_Man_t * p, Vec_Int_t * vValues )
{
    int i, Entry, RetValue;
    assert( Vec_IntSize(vValues) == p->nPars );
    Vec_IntClear( p->vLits );
    Vec_IntForEachEntry( vValues, Entry, i )
        Vec_IntPush( p->vLits, Abc_Var2Lit(p->iParVarBeg+i, !Entry) );
    RetValue = sat_solver_solve( p->pSatVer, Vec_IntArray(p->vLits), Vec_IntLimit(p->vLits), 0, 0, 0, 0 );
    if ( RetValue == l_True )
    {
        Vec_IntClear( vValues );
        for ( i = 0; i < p->nVars; i++ )
            Vec_IntPush( vValues, sat_solver_var_value(p->pSatVer, p->iParVarBeg+p->nPars+i) );
    }
    return RetValue == l_True ? 1 : 0;
}

void Gia_QbfAddSpecialConstr( Qbf_Man_t * p )
{
    int i, status, Lits[2];
    for ( i = 0; i < 4*11; i++ )
        if ( i % 4 == 0 )
        {
            assert( Vec_IntEntry(p->vParMap, i) == -1 );
            Vec_IntWriteEntry( p->vParMap, i, (i % 4) == 3 );
            Lits[0] = Abc_Var2Lit( i, (i % 4) != 3 );
            status = sat_solver_addclause( p->pSatSyn, Lits, Lits+1 );
            assert( status );
        }
}
void Gia_QbfLearnConstraint( Qbf_Man_t * p, Vec_Int_t * vValues )
{
    int i, status, Entry, Lits[2];
    assert( Vec_IntSize(vValues) == p->nPars );
    printf( "  Pattern   " );
    Vec_IntPrintBinary( vValues );
    printf( "\n" );
    Vec_IntForEachEntry( vValues, Entry, i )
    {
        Lits[0] = Abc_Var2Lit( i, Entry );
        status = sat_solver_solve( p->pSatSyn, Lits, Lits+1, 0, 0, 0, 0 );
        printf( "  Var =%4d ", i );
        if ( status != l_True )
        {
            printf( "UNSAT\n" );
            Lits[0] = Abc_LitNot(Lits[0]);
            status = sat_solver_addclause( p->pSatSyn, Lits, Lits+1 );
            assert( status );
            continue;
        }
        Gia_QbfOnePattern( p, p->vLits );
        Vec_IntPrintBinary( p->vLits );
        printf( "\n" );
    }
    assert( Vec_IntSize(vValues) == p->nPars );
}

int Gia_QbfSolve( Gia_Man_t * pGia, int nPars, int nIterLimit, int nConfLimit, int nTimeOut, int nEncVars, int fGlucose, int fVerbose )
{
    Qbf_Man_t * p = Gia_QbfAlloc( pGia, nPars, fGlucose, fVerbose );
    Gia_Man_t * pCof;
    int i, status, RetValue = 0;
    abctime clk;
//    Gia_QbfAddSpecialConstr( p );
    if ( fVerbose )
        printf( "Solving QBF for \"%s\" with %d parameters, %d variables and %d AIG nodes.\n", 
            Gia_ManName(pGia), p->nPars, p->nVars, Gia_ManAndNum(pGia) );
    assert( Gia_ManRegNum(pGia) == 0 );
    Vec_IntFill( p->vValues, nPars, 0 );
    for ( i = 0; Gia_QbfVerify(p, p->vValues); i++ )
    {
        // generate next constraint
        assert( Vec_IntSize(p->vValues) == p->nVars );
        pCof = Gia_QbfCofactor( pGia, nPars, p->vValues, p->vParMap );
        status = p->pSatSynG ? Gia_QbfAddCofactorG( p, pCof ) : Gia_QbfAddCofactor( p, pCof );
        Gia_ManStop( pCof );
        if ( status == 0 )       { RetValue =  1; break; }
        // synthesize next assignment
        clk = Abc_Clock();
        if ( p->pSatSynG )
            status = bmcg_sat_solver_solve( p->pSatSynG, NULL, 0 );
        else
            status = sat_solver_solve( p->pSatSyn, NULL, NULL, (ABC_INT64_T)nConfLimit, 0, 0, 0 );
        p->clkSat += Abc_Clock() - clk;
        if ( fVerbose )
            Gia_QbfPrint( p, p->vValues, i );
        if ( status == l_False ) { RetValue =  1; break; }
        if ( status == l_Undef ) { RetValue = -1; break; }
        // extract SAT assignment
        Gia_QbfOnePattern( p, p->vValues );
        assert( Vec_IntSize(p->vValues) == p->nPars );
        // examine variables
//        Gia_QbfLearnConstraint( p, p->vValues );
//        Vec_IntPrintBinary( p->vValues ); printf( "\n" );
        if ( nIterLimit && i+1 == nIterLimit ) { RetValue = -1; break; }
        if ( nTimeOut && (Abc_Clock() - p->clkStart)/CLOCKS_PER_SEC >= nTimeOut ) { RetValue = -1; break; }
    }
    if ( RetValue == 0 )
    {
        int nZeros = Vec_IntCountZero( p->vValues );
        printf( "Parameters: " );
        assert( Vec_IntSize(p->vValues) == nPars );
        Vec_IntPrintBinary( p->vValues );
        printf( "  Statistics: 0=%d 1=%d\n", nZeros, Vec_IntSize(p->vValues) - nZeros );
        if ( nEncVars )
        {
            int nBits = Vec_IntSize(p->vValues)/(1 << nEncVars);
            assert( Vec_IntSize(p->vValues) == (1 << nEncVars) * nBits );
            Gia_Gen2CodePrint( nEncVars, nBits, p->vValues );
        }
    }
    if ( RetValue == -1 && nTimeOut && (Abc_Clock() - p->clkStart)/CLOCKS_PER_SEC >= nTimeOut )
        printf( "The problem timed out after %d sec.  ", nTimeOut );
    else if ( RetValue == -1 && nConfLimit )
        printf( "The problem aborted after %d conflicts.  ", nConfLimit );
    else if ( RetValue == -1 && nIterLimit )
        printf( "The problem aborted after %d iterations.  ", nIterLimit );
    else if ( RetValue == 1 )
        printf( "The problem is UNSAT after %d iterations.  ", i );
    else 
        printf( "The problem is SAT after %d iterations.  ", i );
    if ( fVerbose )
    {
        printf( "\n" );
        Abc_PrintTime( 1, "SAT  ", p->clkSat );
        Abc_PrintTime( 1, "Other", Abc_Clock() - p->clkStart - p->clkSat );
        Abc_PrintTime( 1, "TOTAL", Abc_Clock() - p->clkStart );
    }
    else
        Abc_PrintTime( 1, "Time", Abc_Clock() - p->clkStart );
    Gia_QbfFree( p );
    return RetValue;
}

sat_solver * Gia_ManGenSolver( Gia_Man_t * p, Vec_Int_t * vInsOuts, int nIns )
{
    Gia_Obj_t * pObj; int i, nObjs = Gia_ManObjNum(p);
    sat_solver * pSat = sat_solver_new();
    sat_solver_setnvars( pSat, 2 * nObjs );
    Gia_ManIncrementTravId(p);
    Gia_ManForEachObjVecStart( vInsOuts, p, pObj, i, nIns )
        Gia_ObjSetTravIdCurrent(p, pObj);
    Gia_ManForEachAnd( p, pObj, i )
        if ( !Gia_ObjIsTravIdCurrent(p, pObj) )
            sat_solver_add_and( pSat, i, Gia_ObjFaninId0(pObj, i), Gia_ObjFaninId1(pObj, i), Gia_ObjFaninC0(pObj), Gia_ObjFaninC1(pObj), 0 );
    Gia_ManForEachAnd( p, pObj, i )
        sat_solver_add_and( pSat, nObjs+i, nObjs+Gia_ObjFaninId0(pObj, i), nObjs+Gia_ObjFaninId1(pObj, i), Gia_ObjFaninC0(pObj), Gia_ObjFaninC1(pObj), 0 );
    Gia_ManForEachCi( p, pObj, i )
        if ( !Gia_ObjIsTravIdCurrent(p, pObj) )
            sat_solver_add_buffer( pSat, nObjs+Gia_ObjId(p, pObj), Gia_ObjId(p, pObj), 0 );
    Gia_ManForEachCo( p, pObj, i )
        if ( Gia_ObjFaninId0p(p, pObj) > 0 ) {
            sat_solver_add_buffer( pSat, Gia_ObjId(p, pObj), Gia_ObjFaninId0p(p, pObj), Gia_ObjFaninC0(pObj) );
            sat_solver_add_buffer( pSat, nObjs+Gia_ObjId(p, pObj), nObjs+Gia_ObjFaninId0p(p, pObj), Gia_ObjFaninC0(pObj) );
            sat_solver_add_buffer( pSat, nObjs+Gia_ObjId(p, pObj), Gia_ObjId(p, pObj), 0 );
        }
    return pSat;
}
Vec_Int_t * Gia_ManGenCombs( Gia_Man_t * p, Vec_Int_t * vInsOuts, int nIns, int fVerbose )
{
    int nTimeOut = 600, nConfLimit = 1000000;
    int i, iSatVar, Iter, Mask, nSolutions = 0, RetValue = 0;
    abctime clkStart  = Abc_Clock();
    sat_solver * pSat = Gia_ManGenSolver( p, vInsOuts, nIns );
    Vec_Int_t * vLits = Vec_IntAlloc( 100 );
    Vec_Int_t * vRes  = Vec_IntAlloc( 1000 );
    for ( Iter = 0; Iter < 1000000; Iter++ )
    {        
        int status = sat_solver_solve( pSat, NULL, NULL, (ABC_INT64_T)nConfLimit, 0, 0, 0 );
        if ( status == l_False ) { RetValue =  1; break; }
        if ( status == l_Undef ) { RetValue =  0; break; }
        nSolutions++;
        // extract SAT assignment
        Mask = 0;
        Vec_IntClear( vLits );
        Vec_IntForEachEntry( vInsOuts, iSatVar, i ) {
            Vec_IntPush( vLits, Abc_Var2Lit(iSatVar, sat_solver_var_value(pSat, iSatVar)) );
            if ( sat_solver_var_value(pSat, iSatVar) )
                Mask |= 1 << (Vec_IntSize(vInsOuts)-1-i); 
        }
        Vec_IntPush( vRes, Mask );
        if ( fVerbose )
        {
            printf( "%5d : ", Iter );
            Vec_IntForEachEntry( vInsOuts, iSatVar, i ) {
                if ( i == nIns )  printf( " " );
                printf( "%d", (Mask >> (Vec_IntSize(vInsOuts)-1-i)) & 1 );
            }
            printf( "\n" );
        }
        // add clause
        if ( !sat_solver_addclause( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits) ) )
            { RetValue =  1; break; }
        if ( nTimeOut && (Abc_Clock() - clkStart)/CLOCKS_PER_SEC >= nTimeOut ) { RetValue = 0; break; }
    }
    Vec_IntSort( vRes, 0 );
    Vec_IntFree( vLits );
    sat_solver_delete( pSat );
    if ( RetValue == 0 )
        Vec_IntFreeP( &vRes );
    if ( fVerbose )
        Abc_PrintTime( 1, "Time", Abc_Clock() - clkStart );
    return vRes;
}
void Gia_ManGenWriteRel( Vec_Int_t * vRes, int nIns, int nOuts, char * pFileName )
{
    int i, k, Mask, nVars = nIns + nOuts;    
    Abc_RData_t * p2, * p = Abc_RDataStart( nIns, nOuts, Vec_IntSize(vRes) );    
    Vec_IntForEachEntry( vRes, Mask, i ) {
        for ( k = 0; k < nVars; k++ )
            if ( (Mask >> (nVars-1-k)) & 1 ) { // the bit is 1
                if ( k < nIns )
                    Abc_RDataSetIn( p, k, i );
                else
                    Abc_RDataSetOut( p, 2*(k-nIns)+1, i );
            }
            else { // the bit is zero
                if ( k >= nIns )
                    Abc_RDataSetOut( p, 2*(k-nIns), i );
            }
    }
    Abc_WritePla( p, pFileName, 0 );
    p2 = Abc_RData2Rel( p );
    Abc_WritePla( p2, Extra_FileNameGenericAppend(pFileName, "_rel.pla"), 1 );
    Abc_RDataStop( p2 );
    Abc_RDataStop( p );
}
void Gia_ManGenRel2( Gia_Man_t * pGia, Vec_Int_t * vInsOuts, int nIns, char * pFileName, int fVerbose )
{
    Vec_Int_t * vRes = Gia_ManGenCombs( pGia, vInsOuts, nIns, fVerbose ); 
    if ( vRes == NULL ) {
        printf( "Enumerating solutions did not succeed.\n" );
        return;
    }
    Gia_ManGenWriteRel( vRes, nIns, Vec_IntSize(vInsOuts)-nIns, pFileName );
    Vec_IntFree( vRes );
}

Vec_Int_t * Gia_ManCollectNodeTfos( Gia_Man_t * p, int * pNodes, int nNodes )
{
    Vec_Int_t * vTfo = Vec_IntAlloc( 100 );
    Gia_Obj_t * pObj; int i;
    Gia_ManIncrementTravId( p );
    for ( i = 0; i < nNodes; i++ )
        Gia_ObjSetTravIdCurrentId( p, pNodes[i] );
    Gia_ManForEachAnd( p, pObj, i ) {
        if ( Gia_ObjIsTravIdCurrentId(p, i) )
            continue;
        if ( Gia_ObjIsTravIdCurrentId(p, Gia_ObjFaninId0(pObj, i)) || Gia_ObjIsTravIdCurrentId(p, Gia_ObjFaninId1(pObj, i)) )
            Gia_ObjSetTravIdCurrentId( p, i ), Vec_IntPush( vTfo, i );
    }
    Gia_ManForEachCo( p, pObj, i )
        if ( Gia_ObjIsTravIdCurrentId(p, Gia_ObjFaninId0p(p, pObj)) )
            Vec_IntPush( vTfo, Gia_ObjId(p, pObj) );
    return vTfo;
}
Vec_Int_t * Gia_ManCollectNodeTfis( Gia_Man_t * p, Vec_Int_t * vNodes )
{
    Vec_Int_t * vTfi = Vec_IntAlloc( 100 );
    Gia_Obj_t * pObj; int i, Id;
    Gia_ManIncrementTravId( p );
    Gia_ManForEachObjVec( vNodes, p, pObj, i )
        if ( Gia_ObjIsCo(pObj) )
            Gia_ObjSetTravIdCurrentId( p, Gia_ObjFaninId0p(p, pObj) );
    Gia_ManForEachAndReverse( p, pObj, i ) {
        if ( !Gia_ObjIsTravIdCurrentId(p, i) )
            continue;        
        Gia_ObjSetTravIdCurrentId(p, Gia_ObjFaninId0(pObj, i));
        Gia_ObjSetTravIdCurrentId(p, Gia_ObjFaninId1(pObj, i));
    }
    Gia_ManForEachCiId( p, Id, i )
        if ( Gia_ObjIsTravIdCurrentId(p, Id) )
            Vec_IntPush( vTfi, Id );
    Gia_ManForEachAnd( p, pObj, i )
        if ( Gia_ObjIsTravIdCurrentId(p, i) )
            Vec_IntPush( vTfi, i );
    return vTfi;
}
Gia_Man_t * Gia_ManGenRelMiter( Gia_Man_t * pGia, Vec_Int_t * vInsOuts, int nIns )
{
    Vec_Int_t * vTfo = Gia_ManCollectNodeTfos( pGia, Vec_IntEntryP(vInsOuts, nIns), Vec_IntSize(vInsOuts)-nIns );
    Vec_Int_t * vTfi = Gia_ManCollectNodeTfis( pGia, vTfo );
    Vec_Int_t * vInLits  = Vec_IntAlloc( nIns );
    Vec_Int_t * vOutLits = Vec_IntAlloc( Vec_IntSize(vInsOuts) - nIns );
    Gia_Man_t * pNew, * pTemp; Gia_Obj_t * pObj; int i, iLit = 0;
    Gia_ManFillValue( pGia );
    pNew = Gia_ManStart( 1000 );
    pNew->pName = Abc_UtilStrsav( pGia->pName );
    Gia_ManHashAlloc( pNew );
     Gia_ManForEachObjVec( vTfi, pGia, pObj, i )
        if ( Gia_ObjIsCi(pObj) )
            pObj->Value = Gia_ManAppendCi(pNew);
    for ( i = 0; i < Vec_IntSize(vInsOuts)-nIns; i++ )
        Vec_IntPush( vInLits, Gia_ManAppendCi(pNew) );
    Gia_ManForEachObjVec( vTfi, pGia, pObj, i )
        if ( Gia_ObjIsAnd(pObj) )
            pObj->Value = Gia_ManHashAnd( pNew, Gia_ObjFanin0Copy(pObj), Gia_ObjFanin1Copy(pObj) );
    Gia_ManForEachObjVec( vTfo, pGia, pObj, i )
        if ( Gia_ObjIsCo(pObj) )
            pObj->Value = Gia_ObjFanin0Copy(pObj);
    Gia_ManForEachObjVec( vInsOuts, pGia, pObj, i )
        if ( i < nIns )
            Vec_IntPush( vOutLits, pObj->Value );
        else
            pObj->Value = Vec_IntEntry( vInLits, i-nIns );        
    Gia_ManForEachObjVec( vTfo, pGia, pObj, i )
        if ( Gia_ObjIsAnd(pObj) )
            pObj->Value = Gia_ManHashAnd( pNew, Gia_ObjFanin0Copy(pObj), Gia_ObjFanin1Copy(pObj) );
    Gia_ManForEachObjVec( vTfo, pGia, pObj, i )
        if ( Gia_ObjIsCo(pObj) )
            iLit = Gia_ManHashOr( pNew, iLit, Gia_ManHashXor(pNew, Gia_ObjFanin0Copy(pObj), pObj->Value) );
    Gia_ManAppendCo( pNew, iLit );
    Vec_IntForEachEntry( vOutLits, iLit, i )
        Gia_ManAppendCo( pNew, iLit );
    Vec_IntFree( vTfo );
    Vec_IntFree( vTfi );
    Vec_IntFree( vInLits );
    Vec_IntFree( vOutLits );
    pNew = Gia_ManCleanup( pTemp = pNew );
    Gia_ManStop( pTemp );
    Gia_ManSetRegNum( pNew, Gia_ManRegNum(pGia) );
    return pNew;
}
void Gia_ManPrintRelMinterm( int Mint, int nIns, int nVars )
{
    for ( int i = 0; i < nVars; i++ )
        printf( "%s%d", i == nIns ? " ":"", (Mint >> (nVars-1-i)) & 1 );
    printf( "\n" );    
}
Vec_Int_t * Gia_ManGenIoCombs( Gia_Man_t * pGia, Vec_Int_t * vInsOuts, int nIns, int fVerbose )
{
    abctime clkStart  = Abc_Clock();
    int nTimeOut = 600, nConfLimit = 1000000;
    int i, iNode, iSatVar, Iter, Mask, nSolutions = 0, RetValue = 0;
    Gia_Man_t * pMiter = Gia_ManGenRelMiter( pGia, vInsOuts, nIns );
    Cnf_Dat_t * pCnf   = (Cnf_Dat_t*)Mf_ManGenerateCnf( pMiter, 8, 0, 0, 0, 0 );
    sat_solver * pSat  = (sat_solver*)Cnf_DataWriteIntoSolver( pCnf, 1, 0 );
    int iLit = Abc_Var2Lit( 1, 0 ); // enumerating the care set (the miter output is 1)
    int status = sat_solver_addclause( pSat, &iLit, &iLit + 1 );  assert( status );
    Vec_Int_t * vSatVars = Vec_IntAlloc( Vec_IntSize(vInsOuts) );
    Vec_IntForEachEntry( vInsOuts, iNode, i )
        Vec_IntPush( vSatVars, i < nIns ? 2+i : pCnf->nVars-Vec_IntSize(vInsOuts)+i );
    Vec_Int_t * vLits = Vec_IntAlloc( 100 );
    Vec_Int_t * vRes  = Vec_IntAlloc( 1000 );
    for ( Iter = 0; Iter < 1000000; Iter++ )
    {        
        int status = sat_solver_solve( pSat, NULL, NULL, (ABC_INT64_T)nConfLimit, 0, 0, 0 );
        if ( status == l_False ) { RetValue =  1; break; }
        if ( status == l_Undef ) { RetValue =  0; break; }
        nSolutions++;
        // extract SAT assignment
        Mask = 0;
        Vec_IntClear( vLits );
        Vec_IntForEachEntry( vSatVars, iSatVar, i ) {
            Vec_IntPush( vLits, Abc_Var2Lit(iSatVar, sat_solver_var_value(pSat, iSatVar)) );
            if ( sat_solver_var_value(pSat, iSatVar) )
                Mask |= 1 << (Vec_IntSize(vInsOuts)-1-i); 
        }
        Vec_IntPush( vRes, Mask );
        if ( 0 ) {
            printf( "%5d : ", Iter );
            Gia_ManPrintRelMinterm( Mask, nIns, Vec_IntSize(vSatVars) );
        }
        // add clause
        if ( !sat_solver_addclause( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits) ) )
            { RetValue =  1; break; }
        if ( nTimeOut && (Abc_Clock() - clkStart)/CLOCKS_PER_SEC >= nTimeOut ) { RetValue = 0; break; }
    }
    // complement the set of input/output minterms
    Vec_Int_t * vBits = Vec_IntStart( 1 << Vec_IntSize(vInsOuts) );
    Vec_IntForEachEntry( vRes, Mask, i )
        Vec_IntWriteEntry( vBits, Mask, 1 );
    Vec_IntClear( vRes );
    Vec_IntForEachEntry( vBits, Mask, i )
        if ( !Mask )
            Vec_IntPush( vRes, i );
    Vec_IntFree( vBits );
    // cleanup
    Vec_IntFree( vLits );
    sat_solver_delete( pSat );
    Gia_ManStop( pMiter ); 
    Cnf_DataFree( pCnf );
    if ( RetValue == 0 )
        Vec_IntFreeP( &vRes );        
    return vRes;   
}
void Gia_ManGenRel( Gia_Man_t * pGia, Vec_Int_t * vInsOuts, int nIns, char * pFileName, int fVerbose )
{
    abctime clkStart  = Abc_Clock();
    Vec_Int_t * vRes = Gia_ManGenIoCombs( pGia, vInsOuts, nIns, fVerbose ); 
    if ( vRes == NULL ) {
        printf( "Enumerating solutions did not succeed.\n" );
        return;
    }
    Gia_ManGenWriteRel( vRes, nIns, Vec_IntSize(vInsOuts)-nIns, pFileName );
    if ( fVerbose ) {
        printf( "The resulting relation with %d input/output minterms is written into file \"%s\".  ", Vec_IntSize(vRes), pFileName );
        Abc_PrintTime( 1, "Time", Abc_Clock() - clkStart );
        if ( 0 ) {
            int i, Mint;
            Vec_IntForEachEntry( vRes, Mint, i )
                Gia_ManPrintRelMinterm( Mint, nIns, Vec_IntSize(vInsOuts) );
        }
    }
    Vec_IntFree( vRes );
}

 
 
ABC_NAMESPACE_IMPL_END