Commit 71d9a167 by Alan Mishchenko

Improvements to quantification.

parent 6bbbbe20
...@@ -216,6 +216,11 @@ struct Gia_Man_t_ ...@@ -216,6 +216,11 @@ struct Gia_Man_t_
// balancing // balancing
Vec_Int_t * vSuper; // supergate Vec_Int_t * vSuper; // supergate
Vec_Int_t * vStore; // node storage Vec_Int_t * vStore; // node storage
// existential quantification
int iSuppPi; // the number of support variables
int nSuppWords; // the number of support words
Vec_Wrd_t * vSuppWords; // support information
Vec_Int_t vCopiesTwo; // intermediate copies
}; };
...@@ -684,6 +689,11 @@ static inline int Gia_ManAppendAnd( Gia_Man_t * p, int iLit0, int iLit1 ) ...@@ -684,6 +689,11 @@ static inline int Gia_ManAppendAnd( Gia_Man_t * p, int iLit0, int iLit1 )
extern void Gia_ManBuiltInSimPerform( Gia_Man_t * p, int iObj ); extern void Gia_ManBuiltInSimPerform( Gia_Man_t * p, int iObj );
Gia_ManBuiltInSimPerform( p, Gia_ObjId( p, pObj ) ); Gia_ManBuiltInSimPerform( p, Gia_ObjId( p, pObj ) );
} }
if ( p->vSuppWords )
{
extern void Gia_ManQuantSetSuppAnd( Gia_Man_t * p, Gia_Obj_t * pObj );
Gia_ManQuantSetSuppAnd( p, pObj );
}
return Gia_ObjId( p, pObj ) << 1; return Gia_ObjId( p, pObj ) << 1;
} }
static inline int Gia_ManAppendXorReal( Gia_Man_t * p, int iLit0, int iLit1 ) static inline int Gia_ManAppendXorReal( Gia_Man_t * p, int iLit0, int iLit1 )
...@@ -1247,6 +1257,7 @@ extern Gia_Man_t * Gia_ManDupMux( int iVar, Gia_Man_t * pCof1, Gia_Man_t ...@@ -1247,6 +1257,7 @@ extern Gia_Man_t * Gia_ManDupMux( int iVar, Gia_Man_t * pCof1, Gia_Man_t
extern Gia_Man_t * Gia_ManDupBlock( Gia_Man_t * p, int nBlock ); extern Gia_Man_t * Gia_ManDupBlock( Gia_Man_t * p, int nBlock );
extern Gia_Man_t * Gia_ManDupExist( Gia_Man_t * p, int iVar ); extern Gia_Man_t * Gia_ManDupExist( Gia_Man_t * p, int iVar );
extern Gia_Man_t * Gia_ManDupUniv( Gia_Man_t * p, int iVar ); extern Gia_Man_t * Gia_ManDupUniv( Gia_Man_t * p, int iVar );
extern int Gia_ManQuantExist( Gia_Man_t * p, int iLit, int(*pFuncCiToKeep)(void *, int), void * pData );
extern Gia_Man_t * Gia_ManDupDfsSkip( Gia_Man_t * p ); extern Gia_Man_t * Gia_ManDupDfsSkip( Gia_Man_t * p );
extern Gia_Man_t * Gia_ManDupDfsCone( Gia_Man_t * p, Gia_Obj_t * pObj ); extern Gia_Man_t * Gia_ManDupDfsCone( Gia_Man_t * p, Gia_Obj_t * pObj );
extern Gia_Man_t * Gia_ManDupConeSupp( Gia_Man_t * p, int iLit, Vec_Int_t * vCiIds ); extern Gia_Man_t * Gia_ManDupConeSupp( Gia_Man_t * p, int iLit, Vec_Int_t * vCiIds );
......
...@@ -21,6 +21,7 @@ ...@@ -21,6 +21,7 @@
#include "gia.h" #include "gia.h"
#include "misc/tim/tim.h" #include "misc/tim/tim.h"
#include "misc/vec/vecWec.h" #include "misc/vec/vecWec.h"
#include "misc/util/utilTruth.h"
ABC_NAMESPACE_IMPL_START ABC_NAMESPACE_IMPL_START
...@@ -1818,6 +1819,243 @@ Gia_Man_t * Gia_ManDupExist2( Gia_Man_t * p, int iVar ) ...@@ -1818,6 +1819,243 @@ Gia_Man_t * Gia_ManDupExist2( Gia_Man_t * p, int iVar )
/**Function************************************************************* /**Function*************************************************************
Synopsis [Existentially quantified several variables.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline word * Gia_ManQuantInfoId( Gia_Man_t * p, int iObj ) { return Vec_WrdEntryP( p->vSuppWords, p->nSuppWords * iObj ); }
static inline word * Gia_ManQuantInfo( Gia_Man_t * p, Gia_Obj_t * pObj ) { return Gia_ManQuantInfoId( p, Gia_ObjId(p, pObj) ); }
static inline void Gia_ObjCopyGetTwoArray( Gia_Man_t * p, int iObj, int LitsOut[2] )
{
int * pLits = Vec_IntEntryP( &p->vCopiesTwo, 2*iObj );
LitsOut[0] = pLits[0];
LitsOut[1] = pLits[1];
}
static inline void Gia_ObjCopySetTwoArray( Gia_Man_t * p, int iObj, int LitsIn[2] )
{
int * pLits = Vec_IntEntryP( &p->vCopiesTwo, 2*iObj );
pLits[0] = LitsIn[0];
pLits[1] = LitsIn[1];
}
void Gia_ManQuantSetSuppStart( Gia_Man_t * p )
{
assert( Gia_ManObjNum(p) == 1 );
assert( p->vSuppWords == NULL );
p->iSuppPi = 0;
p->nSuppWords = 1;
p->vSuppWords = Vec_WrdAlloc( 1000 );
Vec_WrdPush( p->vSuppWords, 0 );
}
void Gia_ManQuantSetSuppZero( Gia_Man_t * p )
{
int w;
for ( w = 0; w < p->nSuppWords; w++ )
Vec_WrdPush( p->vSuppWords, 0 );
assert( Vec_WrdSize(p->vSuppWords) == p->nSuppWords * Gia_ManObjNum(p) );
}
void Gia_ManQuantSetSuppCi( Gia_Man_t * p, Gia_Obj_t * pObj )
{
assert( Gia_ObjIsCi(pObj) );
assert( p->vSuppWords != NULL );
if ( p->iSuppPi == 64 * p->nSuppWords )
{
Vec_Wrd_t * vTemp = Vec_WrdAlloc( 1000 ); word Data; int w;
Vec_WrdForEachEntry( p->vSuppWords, Data, w )
{
Vec_WrdPush( vTemp, Data );
if ( w % p->nSuppWords == 0 )
Vec_WrdPush( vTemp, 0 );
}
Vec_WrdFree( p->vSuppWords );
p->vSuppWords = vTemp;
p->nSuppWords++;
}
Gia_ManQuantSetSuppZero( p );
Abc_TtSetBit( Gia_ManQuantInfo(p, pObj), p->iSuppPi++ );
}
void Gia_ManQuantSetSuppAnd( Gia_Man_t * p, Gia_Obj_t * pObj )
{
int iObj = Gia_ObjId(p, pObj);
int iFan0 = Gia_ObjFaninId0(pObj, iObj);
int iFan1 = Gia_ObjFaninId1(pObj, iObj);
assert( Gia_ObjIsAnd(pObj) );
Gia_ManQuantSetSuppZero( p );
Abc_TtOr( Gia_ManQuantInfo(p, pObj), Gia_ManQuantInfoId(p, iFan0), Gia_ManQuantInfoId(p, iFan1), p->nSuppWords );
}
int Gia_ManQuantCheckSupp( Gia_Man_t * p, int iObj, int iSupp )
{
return Abc_TtGetBit( Gia_ManQuantInfoId(p, iObj), iSupp );
}
void Gia_ManQuantDupConeSupp_rec( Gia_Man_t * pNew, Gia_Man_t * p, Gia_Obj_t * pObj, Vec_Int_t * vCis, Vec_Int_t * vObjs, int(*pFuncCiToKeep)(void *, int), void * pData )
{
int iLit0, iLit1, iObj = Gia_ObjId( p, pObj );
int iLit = Gia_ObjCopyArray( p, iObj );
if ( iLit >= 0 )
return;
if ( Gia_ObjIsCi(pObj) )
{
int iLit = Gia_ManAppendCi( pNew );
Gia_Obj_t * pObjNew = Gia_ManObj( pNew, Abc_Lit2Var(iLit) );
if ( pFuncCiToKeep( pData, Gia_ObjCioId(pObj) ) )
Gia_ManQuantSetSuppZero( pNew );
else
Gia_ManQuantSetSuppCi( pNew, pObjNew );
Gia_ObjSetCopyArray( p, iObj, iLit );
Vec_IntPush( vCis, iObj );
return;
}
assert( Gia_ObjIsAnd(pObj) );
Gia_ManQuantDupConeSupp_rec( pNew, p, Gia_ObjFanin0(pObj), vCis, vObjs, pFuncCiToKeep, pData );
Gia_ManQuantDupConeSupp_rec( pNew, p, Gia_ObjFanin1(pObj), vCis, vObjs, pFuncCiToKeep, pData );
iLit0 = Gia_ObjCopyArray( p, Gia_ObjFaninId0(pObj, iObj) );
iLit1 = Gia_ObjCopyArray( p, Gia_ObjFaninId1(pObj, iObj) );
iLit0 = Abc_LitNotCond( iLit0, Gia_ObjFaninC0(pObj) );
iLit1 = Abc_LitNotCond( iLit1, Gia_ObjFaninC1(pObj) );
iLit = Gia_ManHashAnd( pNew, iLit0, iLit1 );
Gia_ObjSetCopyArray( p, iObj, iLit );
Vec_IntPush( vObjs, iObj );
}
Gia_Man_t * Gia_ManQuantDupConeSupp( Gia_Man_t * p, int iLit, int(*pFuncCiToKeep)(void *, int), void * pData, Vec_Int_t ** pvCis, int * pOutLit )
{
Gia_Man_t * pNew; int i, iLit0, iObj;
Gia_Obj_t * pObj, * pRoot = Gia_ManObj( p, Abc_Lit2Var(iLit) );
Vec_Int_t * vCis = Vec_IntAlloc( 1000 );
Vec_Int_t * vObjs = Vec_IntAlloc( 1000 );
assert( Gia_ObjIsAnd(pRoot) );
if ( Vec_IntSize(&p->vCopies) < Gia_ManObjNum(p) )
Vec_IntFillExtra( &p->vCopies, Gia_ManObjNum(p), -1 );
pNew = Gia_ManStart( 1000 );
Gia_ManHashStart( pNew );
Gia_ManQuantSetSuppStart( pNew );
Gia_ManQuantDupConeSupp_rec( pNew, p, pRoot, vCis, vObjs, pFuncCiToKeep, pData );
iLit0 = Gia_ObjCopyArray( p, Abc_Lit2Var(iLit) );
iLit0 = Abc_LitNotCond( iLit0, Abc_LitIsCompl(iLit) );
if ( pOutLit ) *pOutLit = iLit0;
Gia_ManForEachObjVec( vCis, p, pObj, i )
Gia_ObjSetCopyArray( p, Gia_ObjId(p, pObj), -1 );
Gia_ManForEachObjVec( vObjs, p, pObj, i )
Gia_ObjSetCopyArray( p, Gia_ObjId(p, pObj), -1 );
//assert( Vec_IntCountLarger(&p->vCopies, -1) == 0 );
Vec_IntFree( vObjs );
// remap into CI Ids
Vec_IntForEachEntry( vCis, iObj, i )
Vec_IntWriteEntry( vCis, i, Gia_ManIdToCioId(p, iObj) );
if ( pvCis ) *pvCis = vCis;
return pNew;
}
void Gia_ManQuantExist_rec( Gia_Man_t * p, int iObj, int pRes[2] )
{
Gia_Obj_t * pObj;
int Lits0[2], Lits1[2], pFans[2], fCompl[2];
if ( Gia_ObjIsTravIdCurrentId( p, iObj ) )
{
Gia_ObjCopyGetTwoArray( p, iObj, pRes );
return;
}
Gia_ObjSetTravIdCurrentId( p, iObj );
pObj = Gia_ManObj( p, iObj );
if ( Gia_ObjIsCi(pObj) )
{
pRes[0] = 0; pRes[1] = 1;
Gia_ObjCopySetTwoArray( p, iObj, pRes );
return;
}
pFans[0] = Gia_ObjFaninId0( pObj, iObj );
pFans[1] = Gia_ObjFaninId1( pObj, iObj );
fCompl[0] = Gia_ObjFaninC0( pObj );
fCompl[1] = Gia_ObjFaninC1( pObj );
if ( Gia_ManQuantCheckSupp(p, pFans[0], p->iSuppPi) )
Gia_ManQuantExist_rec( p, pFans[0], Lits0 );
else
Lits0[0] = Lits0[1] = Abc_Var2Lit( pFans[0], 0 );
if ( Gia_ManQuantCheckSupp(p, pFans[1], p->iSuppPi) )
Gia_ManQuantExist_rec( p, pFans[1], Lits1 );
else
Lits1[0] = Lits1[1] = Abc_Var2Lit( pFans[1], 0 );
pRes[0] = Gia_ManHashAnd( p, Abc_LitNotCond(Lits0[0], fCompl[0]), Abc_LitNotCond(Lits1[0], fCompl[1]) );
pRes[1] = Gia_ManHashAnd( p, Abc_LitNotCond(Lits0[1], fCompl[0]), Abc_LitNotCond(Lits1[1], fCompl[1]) );
Gia_ObjCopySetTwoArray( p, iObj, pRes );
}
int Gia_ManQuantExist( Gia_Man_t * p0, int iLit, int(*pFuncCiToKeep)(void *, int), void * pData )
{
Gia_Man_t * pNew;
Vec_Int_t * vOuts, * vOuts2, * vCis;
Gia_Obj_t * pObj = Gia_ManObj( p0, Abc_Lit2Var(iLit) );
int i, n, Entry, Lit, OutLit = -1, pLits[2];
if ( iLit < 2 ) return iLit;
if ( Gia_ObjIsCi(pObj) ) return pFuncCiToKeep(pData, Gia_ObjCioId(pObj)) ? iLit : 1;
assert( Gia_ObjIsAnd(pObj) );
pNew = Gia_ManQuantDupConeSupp( p0, iLit, pFuncCiToKeep, pData, &vCis, &OutLit );
if ( pNew->iSuppPi == 0 )
{
Gia_ManStop( pNew );
Vec_IntFree( vCis );
return iLit;
}
assert( pNew->iSuppPi > 0 && pNew->iSuppPi <= 64 * pNew->nSuppWords );
vOuts = Vec_IntAlloc( 100 );
vOuts2 = Vec_IntAlloc( 100 );
assert( OutLit > 1 );
Vec_IntPush( vOuts, OutLit );
while ( --pNew->iSuppPi >= 0 )
{
//printf( "Quantifying input %d:\n", p->iSuppPi );
if ( Vec_IntSize(&pNew->vCopiesTwo) < 2*Gia_ManObjNum(pNew) )
Vec_IntFillExtra( &pNew->vCopiesTwo, 2*Gia_ManObjNum(pNew), -1 );
assert( Vec_IntSize(vOuts) > 0 );
Vec_IntClear( vOuts2 );
Gia_ManIncrementTravId( pNew );
Vec_IntForEachEntry( vOuts, Entry, i )
{
Gia_ManQuantExist_rec( pNew, Abc_Lit2Var(Entry), pLits );
for ( n = 0; n < 2; n++ )
{
Lit = Abc_LitNotCond( pLits[n], Abc_LitIsCompl(Entry) );
if ( Lit == 0 )
continue;
if ( Lit == 1 )
{
Vec_IntFree( vOuts );
Vec_IntFree( vOuts2 );
Gia_ManStop( pNew );
Vec_IntFree( vCis );
return 1;
}
Vec_IntPushUnique( vOuts2, Lit );
}
}
Vec_IntClear( vOuts );
ABC_SWAP( Vec_Int_t *, vOuts, vOuts2 );
}
//printf( "The number of diff cofactors = %d.\n", Vec_IntSize(vOuts) );
assert( Vec_IntSize(vOuts) > 0 );
Vec_IntForEachEntry( vOuts, Entry, i )
Vec_IntWriteEntry( vOuts, i, Abc_LitNot(Entry) );
OutLit = Gia_ManHashAndMulti( pNew, vOuts );
OutLit = Abc_LitNot( OutLit );
Vec_IntFree( vOuts );
Vec_IntFree( vOuts2 );
// transfer back
Gia_ManAppendCo( pNew, OutLit );
Lit = Gia_ManDupConeBack( p0, pNew, vCis );
Gia_ManStop( pNew );
Vec_IntFree( vCis );
return Lit;
}
/**Function*************************************************************
Synopsis [Duplicates AIG in the DFS order while putting CIs first.] Synopsis [Duplicates AIG in the DFS order while putting CIs first.]
Description [] Description []
......
...@@ -118,6 +118,8 @@ void Gia_ManStop( Gia_Man_t * p ) ...@@ -118,6 +118,8 @@ void Gia_ManStop( Gia_Man_t * p )
Vec_IntFreeP( &p->vTruths ); Vec_IntFreeP( &p->vTruths );
Vec_IntErase( &p->vCopies ); Vec_IntErase( &p->vCopies );
Vec_IntErase( &p->vCopies2 ); Vec_IntErase( &p->vCopies2 );
Vec_IntErase( &p->vCopiesTwo );
Vec_WrdFreeP( &p->vSuppWords );
Vec_IntFreeP( &p->vTtNums ); Vec_IntFreeP( &p->vTtNums );
Vec_IntFreeP( &p->vTtNodes ); Vec_IntFreeP( &p->vTtNodes );
Vec_WrdFreeP( &p->vTtMemory ); Vec_WrdFreeP( &p->vTtMemory );
......
...@@ -846,12 +846,27 @@ Vec_Str_t * bmcg_sat_solver_sop( Gia_Man_t * p, int CubeLimit ) ...@@ -846,12 +846,27 @@ Vec_Str_t * bmcg_sat_solver_sop( Gia_Man_t * p, int CubeLimit )
bmcg_sat_solver_stop( pSat[1] ); bmcg_sat_solver_stop( pSat[1] );
return vSop; return vSop;
} }
void bmcg_sat_solver_sopTest( Gia_Man_t * p ) void bmcg_sat_solver_print_sop( Gia_Man_t * p )
{ {
Vec_Str_t * vSop = bmcg_sat_solver_sop( p, 0 ); Vec_Str_t * vSop = bmcg_sat_solver_sop( p, 0 );
printf( "%s", Vec_StrArray(vSop) ); printf( "%s", Vec_StrArray(vSop) );
Vec_StrFree( vSop ); Vec_StrFree( vSop );
} }
void bmcg_sat_solver_print_sop_lit( Gia_Man_t * p, int Lit )
{
Vec_Int_t * vCisUsed = Vec_IntAlloc( 100 );
int i, ObjId, iNode = Abc_Lit2Var( Lit );
Gia_ManCollectCis( p, &iNode, 1, vCisUsed );
Vec_IntSort( vCisUsed, 0 );
Vec_IntForEachEntry( vCisUsed, ObjId, i )
Vec_IntWriteEntry( vCisUsed, i, Gia_ManIdToCioId(p, ObjId) );
Vec_IntPrint( vCisUsed );
Gia_Man_t * pNew = Gia_ManDupConeSupp( p, Lit, vCisUsed );
Vec_IntFree( vCisUsed );
bmcg_sat_solver_print_sop( pNew );
Gia_ManStop( pNew );
printf( "\n" );
}
/**Function************************************************************* /**Function*************************************************************
...@@ -931,6 +946,7 @@ int bmcg_sat_solver_quantify2( Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiT ...@@ -931,6 +946,7 @@ int bmcg_sat_solver_quantify2( Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiT
nNodes = Gia_ManAndNum(pNew); nNodes = Gia_ManAndNum(pNew);
// perform quantification one CI at a time // perform quantification one CI at a time
clk = Abc_Clock();
assert( pFuncCiToKeep ); assert( pFuncCiToKeep );
Vec_IntForEachEntry( vCisUsed, CiId, i ) Vec_IntForEachEntry( vCisUsed, CiId, i )
if ( !pFuncCiToKeep( pData, CiId ) ) if ( !pFuncCiToKeep( pData, CiId ) )
...@@ -988,9 +1004,9 @@ int bmcg_sat_solver_quantify2( Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiT ...@@ -988,9 +1004,9 @@ int bmcg_sat_solver_quantify2( Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiT
Res = Gia_ManDupConeBack( p, pMan, vCisUsed ); Res = Gia_ManDupConeBack( p, pMan, vCisUsed );
// report the result // report the result
// printf( "Performed quantification with %5d nodes, %3d keep-vars, %3d quant-vars, resulting in %5d cubes and %5d nodes. ", //printf( "Performed quantification with %5d nodes, %3d keep-vars, %3d quant-vars, resulting in %5d cubes and %5d nodes. ",
// nNodes, Vec_IntSize(vCisUsed) - Count, Count, nCubes, Gia_ManAndNum(pMan) ); // nNodes, Vec_IntSize(vCisUsed) - Count, Count, nCubes, Gia_ManAndNum(pMan) );
// Abc_PrintTime( 1, "Time", Abc_Clock() - clkAll ); //Abc_PrintTime( 1, "Time", Abc_Clock() - clkAll );
Vec_IntFree( vCisUsed ); Vec_IntFree( vCisUsed );
Gia_ManStop( pMan ); Gia_ManStop( pMan );
...@@ -1079,10 +1095,6 @@ int Gia_ManFactorSop( Gia_Man_t * p, Vec_Int_t * vCiObjIds, Vec_Str_t * vSop, in ...@@ -1079,10 +1095,6 @@ int Gia_ManFactorSop( Gia_Man_t * p, Vec_Int_t * vCiObjIds, Vec_Str_t * vSop, in
} }
int bmcg_sat_solver_quantify( bmcg_sat_solver * pSats[], Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiToKeep)(void *, int), void * pData, Vec_Int_t * vDLits ) int bmcg_sat_solver_quantify( bmcg_sat_solver * pSats[], Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiToKeep)(void *, int), void * pData, Vec_Int_t * vDLits )
{ {
return bmcg_sat_solver_quantify2( p, iLit, fHash, pFuncCiToKeep, pData, vDLits );
}
int bmcg_sat_solver_quantify3( bmcg_sat_solver * pSats[], Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiToKeep)(void *, int), void * pData, Vec_Int_t * vDLits )
{
abctime clk;//, clkAll = Abc_Clock(); abctime clk;//, clkAll = Abc_Clock();
Vec_Int_t * vObjsUsed = Vec_IntAlloc( 100 ); // GIA objs Vec_Int_t * vObjsUsed = Vec_IntAlloc( 100 ); // GIA objs
Vec_Int_t * vCiVars = Vec_IntAlloc( 100 ); // CI SAT vars Vec_Int_t * vCiVars = Vec_IntAlloc( 100 ); // CI SAT vars
...@@ -1217,6 +1229,24 @@ void Glucose_QuantifyAigTest( Gia_Man_t * p ) ...@@ -1217,6 +1229,24 @@ void Glucose_QuantifyAigTest( Gia_Man_t * p )
bmcg_sat_solver_stop( pSats[1] ); bmcg_sat_solver_stop( pSats[1] );
bmcg_sat_solver_stop( pSats[2] ); bmcg_sat_solver_stop( pSats[2] );
} }
int bmcg_sat_solver_quantify_test( bmcg_sat_solver * pSats[], Gia_Man_t * p, int iLit, int fHash, int(*pFuncCiToKeep)(void *, int), void * pData, Vec_Int_t * vDLits )
{
extern int Gia_ManQuantExist( Gia_Man_t * p, int iLit, int(*pFuncCiToKeep)(void *, int), void * pData );
int Res1 = Gia_ManQuantExist( p, iLit, pFuncCiToKeep, pData );
int Res2 = bmcg_sat_solver_quantify2( p, iLit, 1, pFuncCiToKeep, pData, NULL );
bmcg_sat_solver * pSat = bmcg_sat_solver_start();
if ( bmcg_sat_solver_equiv_overlap_check( pSat, p, Res1, Res2, 1 ) )
printf( "Verification passed.\n" );
else
{
printf( "Verification FAILED.\n" );
bmcg_sat_solver_print_sop_lit( p, Res1 );
bmcg_sat_solver_print_sop_lit( p, Res2 );
printf( "\n" );
}
return Res1;
}
/**Function************************************************************* /**Function*************************************************************
......
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