Esempio n. 1
0
/**Function*************************************************************

  Synopsis    [Adds clauses to the solver.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
void Fraig_SupergateAddClauses( Fraig_Man_t * p, Fraig_Node_t * pNode, Fraig_NodeVec_t * vSuper )
{
    int fComp1, RetValue, nVars, Var, Var1, i;

    assert( Fraig_NodeIsAnd( pNode ) );
    nVars = Msat_SolverReadVarNum(p->pSat);

    Var = pNode->Num;
    assert( Var  < nVars ); 
    for ( i = 0; i < vSuper->nSize; i++ )
    {
        // get the predecessor nodes
        // get the complemented attributes of the nodes
        fComp1 = Fraig_IsComplement(vSuper->pArray[i]);
        // determine the variable numbers
        Var1 = Fraig_Regular(vSuper->pArray[i])->Num;
        // check that the variables are in the SAT manager
        assert( Var1 < nVars );

        // suppose the AND-gate is A * B = C
        // add !A => !C   or   A + !C
    //  fprintf( pFile, "%d %d 0%c", Var1, -Var, 10 );
        Msat_IntVecClear( p->vProj );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(Var1, fComp1) );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(Var,  1) );
        RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
        assert( RetValue );
    }

    // add A & B => C   or   !A + !B + C
//  fprintf( pFile, "%d %d %d 0%c", -Var1, -Var2, Var, 10 );
    Msat_IntVecClear( p->vProj );
    for ( i = 0; i < vSuper->nSize; i++ )
    {
        // get the predecessor nodes
        // get the complemented attributes of the nodes
        fComp1 = Fraig_IsComplement(vSuper->pArray[i]);
        // determine the variable numbers
        Var1 = Fraig_Regular(vSuper->pArray[i])->Num;

        // add this variable to the array
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(Var1, !fComp1) );
    }
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(Var, 0) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
}
Esempio n. 2
0
/**Function*************************************************************

  Synopsis    [Adds clauses to the solver.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
void Fraig_SupergateAddClausesExor( Fraig_Man_t * p, Fraig_Node_t * pNode )
{
    Fraig_Node_t * pNode1, * pNode2;
    int fComp, RetValue;

    assert( !Fraig_IsComplement( pNode ) );
    assert( Fraig_NodeIsExorType( pNode ) );
    // get nodes
    pNode1 = Fraig_Regular(Fraig_Regular(pNode->p1)->p1);
    pNode2 = Fraig_Regular(Fraig_Regular(pNode->p1)->p2);
    // get the complemented attribute of the EXOR/NEXOR gate
    fComp = Fraig_NodeIsExor( pNode ); // 1 if EXOR, 0 if NEXOR

    // create four clauses
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode->Num,   fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1->Num,  fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2->Num,  fComp) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode->Num,   fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1->Num, !fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2->Num, !fComp) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode->Num,  !fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1->Num,  fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2->Num, !fComp) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode->Num,  !fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1->Num, !fComp) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2->Num,  fComp) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
}
Esempio n. 3
0
/**Function*************************************************************

  Synopsis    [Adds clauses to the solver.]

  Description [This procedure is used to add external clauses to the solver.
  The clauses are given by sets of nodes. Each node stands for one literal.
  If the node is complemented, the literal is negated.]
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
void Fraig_ManAddClause( Fraig_Man_t * p, Fraig_Node_t ** ppNodes, int nNodes )
{
    Fraig_Node_t * pNode;
    int i, fComp, RetValue;
    if ( p->pSat == NULL )
        Fraig_ManCreateSolver( p );
    // create four clauses
    Msat_IntVecClear( p->vProj );
    for ( i = 0; i < nNodes; i++ )
    {
        pNode = Fraig_Regular(ppNodes[i]);
        fComp = Fraig_IsComplement(ppNodes[i]);
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode->Num, fComp) );
//        printf( "%d(%d) ", pNode->Num, fComp );
    }
//    printf( "\n" );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
}
Esempio n. 4
0
/**Function*************************************************************

  Synopsis    [Prepares the SAT solver to run on the two nodes.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
int Fraig_ManCheckClauseUsingSat( Fraig_Man_t * p, Fraig_Node_t * pNode1, Fraig_Node_t * pNode2, int nBTLimit )
{
    Fraig_Node_t * pNode1R, * pNode2R;
    int RetValue, RetValue1, i, clk;
    int fVerbose = 0;

    pNode1R = Fraig_Regular(pNode1);
    pNode2R = Fraig_Regular(pNode2);
    assert( pNode1R != pNode2R );

    // make sure the solver is allocated and has enough variables
    if ( p->pSat == NULL )
        Fraig_ManCreateSolver( p );
    // make sure the SAT solver has enough variables
    for ( i = Msat_SolverReadVarNum(p->pSat); i < p->vNodes->nSize; i++ )
        Msat_SolverAddVar( p->pSat, p->vNodes->pArray[i]->Level );

   // get the logic cone
clk = clock();
    Fraig_OrderVariables( p, pNode1R, pNode2R );
//    Fraig_PrepareCones( p, pNode1R, pNode2R );
p->timeTrav += clock() - clk;

    ////////////////////////////////////////////
    // prepare the solver to run incrementally on these variables
//clk = clock();
    Msat_SolverPrepare( p->pSat, p->vVarsInt );
//p->time3 += clock() - clk;

    // solve under assumptions
    // A = 1; B = 0     OR     A = 1; B = 1 
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1R->Num, !Fraig_IsComplement(pNode1)) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2R->Num, !Fraig_IsComplement(pNode2)) );
    // run the solver
clk = clock();
    RetValue1 = Msat_SolverSolve( p->pSat, p->vProj, nBTLimit, 1000000 );
p->timeSat += clock() - clk;

    if ( RetValue1 == MSAT_FALSE )
    {
//p->time1 += clock() - clk;

if ( fVerbose )
{
    printf( "unsat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // add the clause
        Msat_IntVecClear( p->vProj );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode1R->Num, Fraig_IsComplement(pNode1)) );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNode2R->Num, Fraig_IsComplement(pNode2)) );
        RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
        assert( RetValue );
//        p->nSatProofImp++;
        return 1;
    }
    else if ( RetValue1 == MSAT_TRUE )
    {
//p->time2 += clock() - clk;

if ( fVerbose )
{
    printf( "sat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}
        // record the counter example
//        Fraig_FeedBack( p, Msat_SolverReadModelArray(p->pSat), p->vVarsInt, pNode1R, pNode2R );
        p->nSatCounterImp++;
        return 0;
    }
    else // if ( RetValue1 == MSAT_UNKNOWN )
    {
p->time3 += clock() - clk;
        p->nSatFailsImp++;
        return 0;
    }
}
Esempio n. 5
0
/**Function*************************************************************

  Synopsis    [Checks whether pOld => pNew.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
int Fraig_NodeIsImplication( Fraig_Man_t * p, Fraig_Node_t * pOld, Fraig_Node_t * pNew, int nBTLimit )
{
    int RetValue, RetValue1, i, fComp, clk;
    int fVerbose = 0;

    // make sure the nodes are not complemented
    assert( !Fraig_IsComplement(pNew) );
    assert( !Fraig_IsComplement(pOld) );
    assert( pNew != pOld );

    p->nSatCallsImp++;

    // make sure the solver is allocated and has enough variables
    if ( p->pSat == NULL )
        Fraig_ManCreateSolver( p );
    // make sure the SAT solver has enough variables
    for ( i = Msat_SolverReadVarNum(p->pSat); i < p->vNodes->nSize; i++ )
        Msat_SolverAddVar( p->pSat, p->vNodes->pArray[i]->Level );

   // get the logic cone
clk = clock();
    Fraig_OrderVariables( p, pOld, pNew );
//    Fraig_PrepareCones( p, pOld, pNew );
p->timeTrav += clock() - clk;

if ( fVerbose )
    printf( "%d(%d) - ", Fraig_CountPis(p,p->vVarsInt), Msat_IntVecReadSize(p->vVarsInt) );


    // get the complemented attribute
    fComp = Fraig_NodeComparePhase( pOld, pNew );
//Msat_SolverPrintClauses( p->pSat );

    ////////////////////////////////////////////
    // prepare the solver to run incrementally on these variables
//clk = clock();
    Msat_SolverPrepare( p->pSat, p->vVarsInt );
//p->time3 += clock() - clk;

    // solve under assumptions
    // A = 1; B = 0     OR     A = 1; B = 1 
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 0) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, !fComp) );
    // run the solver
clk = clock();
    RetValue1 = Msat_SolverSolve( p->pSat, p->vProj, nBTLimit, 1000000 );
p->timeSat += clock() - clk;

    if ( RetValue1 == MSAT_FALSE )
    {
//p->time1 += clock() - clk;

if ( fVerbose )
{
    printf( "unsat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // add the clause
        Msat_IntVecClear( p->vProj );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 1) );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, fComp) );
        RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
        assert( RetValue );
//        p->nSatProofImp++;
        return 1;
    }
    else if ( RetValue1 == MSAT_TRUE )
    {
//p->time2 += clock() - clk;

if ( fVerbose )
{
    printf( "sat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}
        // record the counter example
        Fraig_FeedBack( p, Msat_SolverReadModelArray(p->pSat), p->vVarsInt, pOld, pNew );
        p->nSatCounterImp++;
        return 0;
    }
    else // if ( RetValue1 == MSAT_UNKNOWN )
    {
p->time3 += clock() - clk;
        p->nSatFailsImp++;
        return 0;
    }
}
Esempio n. 6
0
/**Function*************************************************************

  Synopsis    [Checks whether two nodes are functinally equivalent.]

  Description [The flag (fComp) tells whether the nodes to be checked
  are in the opposite polarity. The second flag (fSkipZeros) tells whether
  the checking should be performed if the simulation vectors are zeros.
  Returns 1 if the nodes are equivalent; 0 othewise.]
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
int Fraig_NodeIsEquivalent( Fraig_Man_t * p, Fraig_Node_t * pOld, Fraig_Node_t * pNew, int nBTLimit, int nTimeLimit )
{
    int RetValue, RetValue1, i, fComp, clk;
    int fVerbose = 0;
    int fSwitch = 0;

    // make sure the nodes are not complemented
    assert( !Fraig_IsComplement(pNew) );
    assert( !Fraig_IsComplement(pOld) );
    assert( pNew != pOld );

    // if at least one of the nodes is a failed node, perform adjustments:
    // if the backtrack limit is small, simply skip this node
    // if the backtrack limit is > 10, take the quare root of the limit
    if ( nBTLimit > 0 && (pOld->fFailTfo || pNew->fFailTfo) )
    {
        p->nSatFails++;
//            return 0;
//        if ( nBTLimit > 10 )
//            nBTLimit /= 10;
        if ( nBTLimit <= 10 )
            return 0;
        nBTLimit = (int)sqrt(nBTLimit);
//        fSwitch = 1;
    }

    p->nSatCalls++;

    // make sure the solver is allocated and has enough variables
    if ( p->pSat == NULL )
        Fraig_ManCreateSolver( p );
    // make sure the SAT solver has enough variables
    for ( i = Msat_SolverReadVarNum(p->pSat); i < p->vNodes->nSize; i++ )
        Msat_SolverAddVar( p->pSat, p->vNodes->pArray[i]->Level );


 
/*
    {
        Fraig_Node_t * ppNodes[2] = { pOld, pNew };
        extern void Fraig_MappingShowNodes( Fraig_Man_t * pMan, Fraig_Node_t ** ppRoots, int nRoots, char * pFileName );
        Fraig_MappingShowNodes( p, ppNodes, 2, "temp_aig" );
    }
*/

    nMuxes = 0;


    // get the logic cone
clk = clock();
//    Fraig_VarsStudy( p, pOld, pNew );
    Fraig_OrderVariables( p, pOld, pNew );
//    Fraig_PrepareCones( p, pOld, pNew );
p->timeTrav += clock() - clk;

//    printf( "The number of MUXes detected = %d (%5.2f %% of logic).  ", nMuxes, 300.0*nMuxes/(p->vNodes->nSize - p->vInputs->nSize) );
//    PRT( "Time", clock() - clk );

if ( fVerbose )
    printf( "%d(%d) - ", Fraig_CountPis(p,p->vVarsInt), Msat_IntVecReadSize(p->vVarsInt) );


    // prepare variable activity
    Fraig_SetActivity( p, pOld, pNew );

    // get the complemented attribute
    fComp = Fraig_NodeComparePhase( pOld, pNew );
//Msat_SolverPrintClauses( p->pSat );

    ////////////////////////////////////////////
    // prepare the solver to run incrementally on these variables
//clk = clock();
    Msat_SolverPrepare( p->pSat, p->vVarsInt );
//p->time3 += clock() - clk;


    // solve under assumptions
    // A = 1; B = 0     OR     A = 1; B = 1 
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 0) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, !fComp) );

//Msat_SolverWriteDimacs( p->pSat, "temp_fraig.cnf" );

    // run the solver
clk = clock();
    RetValue1 = Msat_SolverSolve( p->pSat, p->vProj, nBTLimit, nTimeLimit );
p->timeSat += clock() - clk;

    if ( RetValue1 == MSAT_FALSE )
    {
//p->time1 += clock() - clk;

if ( fVerbose )
{
    printf( "unsat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // add the clause
        Msat_IntVecClear( p->vProj );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 1) );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, fComp) );
        RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
        assert( RetValue );
        // continue solving the other implication
    }
    else if ( RetValue1 == MSAT_TRUE )
    {
//p->time2 += clock() - clk;

if ( fVerbose )
{
    printf( "sat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // record the counter example
        Fraig_FeedBack( p, Msat_SolverReadModelArray(p->pSat), p->vVarsInt, pOld, pNew );

//        if ( pOld->fFailTfo || pNew->fFailTfo )
//            printf( "*" );
//        printf( "s(%d)", pNew->Level );
        if ( fSwitch )
             printf( "s(%d)", pNew->Level );
        p->nSatCounter++;
        return 0;
    }
    else // if ( RetValue1 == MSAT_UNKNOWN )
    {
p->time3 += clock() - clk;

//        if ( pOld->fFailTfo || pNew->fFailTfo )
//            printf( "*" );
//        printf( "T(%d)", pNew->Level );

        // mark the node as the failed node
        if ( pOld != p->pConst1 ) 
            pOld->fFailTfo = 1;
        pNew->fFailTfo = 1;
//        p->nSatFails++;
        if ( fSwitch )
             printf( "T(%d)", pNew->Level );
        p->nSatFailsReal++;
        return 0;
    }

    // if the old node was constant 0, we already know the answer
    if ( pOld == p->pConst1 )
        return 1;

    ////////////////////////////////////////////
    // prepare the solver to run incrementally 
//clk = clock();
    Msat_SolverPrepare( p->pSat, p->vVarsInt );
//p->time3 += clock() - clk;
    // solve under assumptions
    // A = 0; B = 1     OR     A = 0; B = 0 
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 1) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, fComp) );
    // run the solver
clk = clock();
    RetValue1 = Msat_SolverSolve( p->pSat, p->vProj, nBTLimit, nTimeLimit );
p->timeSat += clock() - clk;

    if ( RetValue1 == MSAT_FALSE )
    {
//p->time1 += clock() - clk;

if ( fVerbose )
{
    printf( "unsat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // add the clause
        Msat_IntVecClear( p->vProj );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pOld->Num, 0) );
        Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(pNew->Num, !fComp) );
        RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
        assert( RetValue );
        // continue solving the other implication
    }
    else if ( RetValue1 == MSAT_TRUE )
    {
//p->time2 += clock() - clk;

if ( fVerbose )
{
    printf( "sat  %d  ", Msat_SolverReadBackTracks(p->pSat) );
PRT( "time", clock() - clk );
}

        // record the counter example
        Fraig_FeedBack( p, Msat_SolverReadModelArray(p->pSat), p->vVarsInt, pOld, pNew );
        p->nSatCounter++;

//        if ( pOld->fFailTfo || pNew->fFailTfo )
//            printf( "*" );
//        printf( "s(%d)", pNew->Level );
        if ( fSwitch )
             printf( "s(%d)", pNew->Level );
        return 0;
    }
    else // if ( RetValue1 == MSAT_UNKNOWN )
    {
p->time3 += clock() - clk;

//        if ( pOld->fFailTfo || pNew->fFailTfo )
//            printf( "*" );
//        printf( "T(%d)", pNew->Level );
        if ( fSwitch )
             printf( "T(%d)", pNew->Level );

        // mark the node as the failed node
        pOld->fFailTfo = 1;
        pNew->fFailTfo = 1;
//        p->nSatFails++;
        p->nSatFailsReal++;
        return 0;
    }

    // return SAT proof
    p->nSatProof++;

//    if ( pOld->fFailTfo || pNew->fFailTfo )
//        printf( "*" );
//    printf( "u(%d)", pNew->Level );

    if ( fSwitch )
         printf( "u(%d)", pNew->Level );

    return 1;
}
Esempio n. 7
0
/**Function*************************************************************

  Synopsis    [Adds clauses to the solver.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
void Fraig_SupergateAddClausesMux( Fraig_Man_t * p, Fraig_Node_t * pNode )
{
    Fraig_Node_t * pNodeI, * pNodeT, * pNodeE;
    int RetValue, VarF, VarI, VarT, VarE, fCompT, fCompE;

    assert( !Fraig_IsComplement( pNode ) );
    assert( Fraig_NodeIsMuxType( pNode ) );
    // get nodes (I = if, T = then, E = else)
    pNodeI = Fraig_NodeRecognizeMux( pNode, &pNodeT, &pNodeE );
    // get the variable numbers
    VarF = pNode->Num;
    VarI = pNodeI->Num;
    VarT = Fraig_Regular(pNodeT)->Num;
    VarE = Fraig_Regular(pNodeE)->Num;
    // get the complementation flags
    fCompT = Fraig_IsComplement(pNodeT);
    fCompE = Fraig_IsComplement(pNodeE);

    // f = ITE(i, t, e)

    // i' + t' + f
    // i' + t  + f'
    // i  + e' + f
    // i  + e  + f'

    // create four clauses
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarI,  1) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarT,  1^fCompT) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  0) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarI,  1) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarT,  0^fCompT) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  1) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarI,  0) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarE,  1^fCompE) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  0) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarI,  0) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarE,  0^fCompE) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  1) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );

    // two additional clauses
    // t' & e' -> f'
    // t  & e  -> f 

    // t  + e   + f'
    // t' + e'  + f 

    if ( VarT == VarE )
    {
//        assert( fCompT == !fCompE );
        return;
    }

    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarT,  0^fCompT) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarE,  0^fCompE) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  1) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );
    Msat_IntVecClear( p->vProj );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarT,  1^fCompT) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarE,  1^fCompE) );
    Msat_IntVecPush( p->vProj, MSAT_VAR2LIT(VarF,  0) );
    RetValue = Msat_SolverAddClause( p->pSat, p->vProj );
    assert( RetValue );

}