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+/**CFile****************************************************************
+
+ FileName [satInter.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [SAT sat_solver.]
+
+ Synopsis [Interpolation package.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: satInter.c,v 1.4 2005/09/16 22:55:03 casem Exp $]
+
+***********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+#include <time.h>
+#include "satStore.h"
+#include "aig.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+// variable assignments
+static const lit LIT_UNDEF = 0xffffffff;
+
+// interpolation manager
+struct Inta_Man_t_
+{
+ // clauses of the problems
+ Sto_Man_t * pCnf; // the set of CNF clauses for A and B
+ Vec_Int_t * vVarsAB; // the array of global variables
+ // various parameters
+ int fVerbose; // verbosiness flag
+ int fProofVerif; // verifies the proof
+ int fProofWrite; // writes the proof file
+ int nVarsAlloc; // the allocated size of var arrays
+ int nClosAlloc; // the allocated size of clause arrays
+ // internal BCP
+ int nRootSize; // the number of root level assignments
+ int nTrailSize; // the number of assignments made
+ lit * pTrail; // chronological order of assignments (size nVars)
+ lit * pAssigns; // assignments by variable (size nVars)
+ char * pSeens; // temporary mark (size nVars)
+ Sto_Cls_t ** pReasons; // reasons for each assignment (size nVars)
+ Sto_Cls_t ** pWatches; // watched clauses for each literal (size 2*nVars)
+ // interpolation data
+ Aig_Man_t * pAig; // the AIG manager for recording the interpolant
+ int * pVarTypes; // variable type (size nVars) [1=A, 0=B, <0=AB]
+ Aig_Obj_t ** pInters; // storage for interpolants as truth tables (size nClauses)
+ int nIntersAlloc; // the allocated size of truth table array
+ // proof recording
+ int Counter; // counter of resolved clauses
+ int * pProofNums; // the proof numbers for each clause (size nClauses)
+ FILE * pFile; // the file for proof recording
+ // internal verification
+ lit * pResLits; // the literals of the resolvent
+ int nResLits; // the number of literals of the resolvent
+ int nResLitsAlloc;// the number of literals of the resolvent
+ // runtime stats
+ int timeBcp; // the runtime for BCP
+ int timeTrace; // the runtime of trace construction
+ int timeTotal; // the total runtime of interpolation
+};
+
+// procedure to get hold of the clauses' truth table
+static inline Aig_Obj_t ** Inta_ManAigRead( Inta_Man_t * pMan, Sto_Cls_t * pCls ) { return pMan->pInters + pCls->Id; }
+static inline void Inta_ManAigClear( Inta_Man_t * pMan, Aig_Obj_t ** p ) { *p = Aig_ManConst0(pMan->pAig); }
+static inline void Inta_ManAigFill( Inta_Man_t * pMan, Aig_Obj_t ** p ) { *p = Aig_ManConst1(pMan->pAig); }
+static inline void Inta_ManAigCopy( Inta_Man_t * pMan, Aig_Obj_t ** p, Aig_Obj_t ** q ) { *p = *q; }
+static inline void Inta_ManAigAnd( Inta_Man_t * pMan, Aig_Obj_t ** p, Aig_Obj_t ** q ) { *p = Aig_And(pMan->pAig, *p, *q); }
+static inline void Inta_ManAigOr( Inta_Man_t * pMan, Aig_Obj_t ** p, Aig_Obj_t ** q ) { *p = Aig_Or(pMan->pAig, *p, *q); }
+static inline void Inta_ManAigOrNot( Inta_Man_t * pMan, Aig_Obj_t ** p, Aig_Obj_t ** q ) { *p = Aig_Or(pMan->pAig, *p, Aig_Not(*q)); }
+static inline void Inta_ManAigOrVar( Inta_Man_t * pMan, Aig_Obj_t ** p, int v ) { *p = Aig_Or(pMan->pAig, *p, Aig_IthVar(pMan->pAig, v)); }
+static inline void Inta_ManAigOrNotVar( Inta_Man_t * pMan, Aig_Obj_t ** p, int v ) { *p = Aig_Or(pMan->pAig, *p, Aig_Not(Aig_IthVar(pMan->pAig, v))); }
+
+// reading/writing the proof for a clause
+static inline int Inta_ManProofGet( Inta_Man_t * p, Sto_Cls_t * pCls ) { return p->pProofNums[pCls->Id]; }
+static inline void Inta_ManProofSet( Inta_Man_t * p, Sto_Cls_t * pCls, int n ) { p->pProofNums[pCls->Id] = n; }
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Allocate proof manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Inta_Man_t * Inta_ManAlloc()
+{
+ Inta_Man_t * p;
+ // allocate the manager
+ p = (Inta_Man_t *)malloc( sizeof(Inta_Man_t) );
+ memset( p, 0, sizeof(Inta_Man_t) );
+ // verification
+ p->nResLitsAlloc = (1<<16);
+ p->pResLits = malloc( sizeof(lit) * p->nResLitsAlloc );
+ // parameters
+ p->fProofWrite = 0;
+ p->fProofVerif = 1;
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count common variables in the clauses of A and B.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Inta_ManGlobalVars( Inta_Man_t * p )
+{
+ Sto_Cls_t * pClause;
+ int LargeNum = -100000000;
+ int Var, nVarsAB, v;
+
+ // mark the variable encountered in the clauses of A
+ Sto_ManForEachClauseRoot( p->pCnf, pClause )
+ {
+ if ( !pClause->fA )
+ break;
+ for ( v = 0; v < (int)pClause->nLits; v++ )
+ p->pVarTypes[lit_var(pClause->pLits[v])] = 1;
+ }
+
+ // check variables that appear in clauses of B
+ nVarsAB = 0;
+ Sto_ManForEachClauseRoot( p->pCnf, pClause )
+ {
+ if ( pClause->fA )
+ continue;
+ for ( v = 0; v < (int)pClause->nLits; v++ )
+ {
+ Var = lit_var(pClause->pLits[v]);
+ if ( p->pVarTypes[Var] == 1 ) // var of A
+ {
+ // change it into a global variable
+ nVarsAB++;
+ p->pVarTypes[Var] = LargeNum;
+ }
+ }
+ }
+ assert( nVarsAB <= Vec_IntSize(p->vVarsAB) );
+
+ // order global variables
+ nVarsAB = 0;
+ Vec_IntForEachEntry( p->vVarsAB, Var, v )
+ p->pVarTypes[Var] = -(1+nVarsAB++);
+
+ // check that there is no extra global variables
+ for ( v = 0; v < p->pCnf->nVars; v++ )
+ assert( p->pVarTypes[v] != LargeNum );
+ return nVarsAB;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resize proof manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManResize( Inta_Man_t * p )
+{
+ // check if resizing is needed
+ if ( p->nVarsAlloc < p->pCnf->nVars )
+ {
+ // find the new size
+ if ( p->nVarsAlloc == 0 )
+ p->nVarsAlloc = 1;
+ while ( p->nVarsAlloc < p->pCnf->nVars )
+ p->nVarsAlloc *= 2;
+ // resize the arrays
+ p->pTrail = (lit *) realloc( p->pTrail, sizeof(lit) * p->nVarsAlloc );
+ p->pAssigns = (lit *) realloc( p->pAssigns, sizeof(lit) * p->nVarsAlloc );
+ p->pSeens = (char *) realloc( p->pSeens, sizeof(char) * p->nVarsAlloc );
+ p->pVarTypes = (int *) realloc( p->pVarTypes, sizeof(int) * p->nVarsAlloc );
+ p->pReasons = (Sto_Cls_t **)realloc( p->pReasons, sizeof(Sto_Cls_t *) * p->nVarsAlloc );
+ p->pWatches = (Sto_Cls_t **)realloc( p->pWatches, sizeof(Sto_Cls_t *) * p->nVarsAlloc*2 );
+ }
+
+ // clean the free space
+ memset( p->pAssigns , 0xff, sizeof(lit) * p->pCnf->nVars );
+ memset( p->pSeens , 0, sizeof(char) * p->pCnf->nVars );
+ memset( p->pVarTypes, 0, sizeof(int) * p->pCnf->nVars );
+ memset( p->pReasons , 0, sizeof(Sto_Cls_t *) * p->pCnf->nVars );
+ memset( p->pWatches , 0, sizeof(Sto_Cls_t *) * p->pCnf->nVars*2 );
+
+ // compute the number of common variables
+ Inta_ManGlobalVars( p );
+
+ // check if resizing of clauses is needed
+ if ( p->nClosAlloc < p->pCnf->nClauses )
+ {
+ // find the new size
+ if ( p->nClosAlloc == 0 )
+ p->nClosAlloc = 1;
+ while ( p->nClosAlloc < p->pCnf->nClauses )
+ p->nClosAlloc *= 2;
+ // resize the arrays
+ p->pProofNums = (int *) realloc( p->pProofNums, sizeof(int) * p->nClosAlloc );
+ }
+ memset( p->pProofNums, 0, sizeof(int) * p->pCnf->nClauses );
+
+ // check if resizing of truth tables is needed
+ if ( p->nIntersAlloc < p->pCnf->nClauses )
+ {
+ p->nIntersAlloc = p->pCnf->nClauses;
+ p->pInters = (Aig_Obj_t **) realloc( p->pInters, sizeof(Aig_Obj_t *) * p->nIntersAlloc );
+ }
+ memset( p->pInters, 0, sizeof(Aig_Obj_t *) * p->pCnf->nClauses );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Deallocate proof manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManFree( Inta_Man_t * p )
+{
+/*
+ printf( "Runtime stats:\n" );
+PRT( "BCP ", p->timeBcp );
+PRT( "Trace ", p->timeTrace );
+PRT( "TOTAL ", p->timeTotal );
+*/
+ free( p->pInters );
+ free( p->pProofNums );
+ free( p->pTrail );
+ free( p->pAssigns );
+ free( p->pSeens );
+ free( p->pVarTypes );
+ free( p->pReasons );
+ free( p->pWatches );
+ free( p->pResLits );
+ free( p );
+}
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Prints the clause.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManPrintClause( Inta_Man_t * p, Sto_Cls_t * pClause )
+{
+ int i;
+ printf( "Clause ID = %d. Proof = %d. {", pClause->Id, Inta_ManProofGet(p, pClause) );
+ for ( i = 0; i < (int)pClause->nLits; i++ )
+ printf( " %d", pClause->pLits[i] );
+ printf( " }\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the resolvent.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManPrintResolvent( lit * pResLits, int nResLits )
+{
+ int i;
+ printf( "Resolvent: {" );
+ for ( i = 0; i < nResLits; i++ )
+ printf( " %d", pResLits[i] );
+ printf( " }\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the interpolant for one clause.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManPrintInterOne( Inta_Man_t * p, Sto_Cls_t * pClause )
+{
+ printf( "Clause %2d : ", pClause->Id );
+// Extra_PrintBinary___( stdout, Inta_ManAigRead(p, pClause), (1 << p->nVarsAB) );
+ printf( "\n" );
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Adds one clause to the watcher list.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Inta_ManWatchClause( Inta_Man_t * p, Sto_Cls_t * pClause, lit Lit )
+{
+ assert( lit_check(Lit, p->pCnf->nVars) );
+ if ( pClause->pLits[0] == Lit )
+ pClause->pNext0 = p->pWatches[lit_neg(Lit)];
+ else
+ {
+ assert( pClause->pLits[1] == Lit );
+ pClause->pNext1 = p->pWatches[lit_neg(Lit)];
+ }
+ p->pWatches[lit_neg(Lit)] = pClause;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Records implication.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Inta_ManEnqueue( Inta_Man_t * p, lit Lit, Sto_Cls_t * pReason )
+{
+ int Var = lit_var(Lit);
+ if ( p->pAssigns[Var] != LIT_UNDEF )
+ return p->pAssigns[Var] == Lit;
+ p->pAssigns[Var] = Lit;
+ p->pReasons[Var] = pReason;
+ p->pTrail[p->nTrailSize++] = Lit;
+//printf( "assigning var %d value %d\n", Var, !lit_sign(Lit) );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Records implication.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline void Inta_ManCancelUntil( Inta_Man_t * p, int Level )
+{
+ lit Lit;
+ int i, Var;
+ for ( i = p->nTrailSize - 1; i >= Level; i-- )
+ {
+ Lit = p->pTrail[i];
+ Var = lit_var( Lit );
+ p->pReasons[Var] = NULL;
+ p->pAssigns[Var] = LIT_UNDEF;
+//printf( "cancelling var %d\n", Var );
+ }
+ p->nTrailSize = Level;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Propagate one assignment.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline Sto_Cls_t * Inta_ManPropagateOne( Inta_Man_t * p, lit Lit )
+{
+ Sto_Cls_t ** ppPrev, * pCur, * pTemp;
+ lit LitF = lit_neg(Lit);
+ int i;
+ // iterate through the literals
+ ppPrev = p->pWatches + Lit;
+ for ( pCur = p->pWatches[Lit]; pCur; pCur = *ppPrev )
+ {
+ // make sure the false literal is in the second literal of the clause
+ if ( pCur->pLits[0] == LitF )
+ {
+ pCur->pLits[0] = pCur->pLits[1];
+ pCur->pLits[1] = LitF;
+ pTemp = pCur->pNext0;
+ pCur->pNext0 = pCur->pNext1;
+ pCur->pNext1 = pTemp;
+ }
+ assert( pCur->pLits[1] == LitF );
+
+ // if the first literal is true, the clause is satisfied
+ if ( pCur->pLits[0] == p->pAssigns[lit_var(pCur->pLits[0])] )
+ {
+ ppPrev = &pCur->pNext1;
+ continue;
+ }
+
+ // look for a new literal to watch
+ for ( i = 2; i < (int)pCur->nLits; i++ )
+ {
+ // skip the case when the literal is false
+ if ( lit_neg(pCur->pLits[i]) == p->pAssigns[lit_var(pCur->pLits[i])] )
+ continue;
+ // the literal is either true or unassigned - watch it
+ pCur->pLits[1] = pCur->pLits[i];
+ pCur->pLits[i] = LitF;
+ // remove this clause from the watch list of Lit
+ *ppPrev = pCur->pNext1;
+ // add this clause to the watch list of pCur->pLits[i] (now it is pCur->pLits[1])
+ Inta_ManWatchClause( p, pCur, pCur->pLits[1] );
+ break;
+ }
+ if ( i < (int)pCur->nLits ) // found new watch
+ continue;
+
+ // clause is unit - enqueue new implication
+ if ( Inta_ManEnqueue(p, pCur->pLits[0], pCur) )
+ {
+ ppPrev = &pCur->pNext1;
+ continue;
+ }
+
+ // conflict detected - return the conflict clause
+ return pCur;
+ }
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Propagate the current assignments.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Sto_Cls_t * Inta_ManPropagate( Inta_Man_t * p, int Start )
+{
+ Sto_Cls_t * pClause;
+ int i;
+ int clk = clock();
+ for ( i = Start; i < p->nTrailSize; i++ )
+ {
+ pClause = Inta_ManPropagateOne( p, p->pTrail[i] );
+ if ( pClause )
+ {
+p->timeBcp += clock() - clk;
+ return pClause;
+ }
+ }
+p->timeBcp += clock() - clk;
+ return NULL;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Writes one root clause into a file.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManProofWriteOne( Inta_Man_t * p, Sto_Cls_t * pClause )
+{
+ Inta_ManProofSet( p, pClause, ++p->Counter );
+
+ if ( p->fProofWrite )
+ {
+ int v;
+ fprintf( p->pFile, "%d", Inta_ManProofGet(p, pClause) );
+ for ( v = 0; v < (int)pClause->nLits; v++ )
+ fprintf( p->pFile, " %d", lit_print(pClause->pLits[v]) );
+ fprintf( p->pFile, " 0 0\n" );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Traces the proof for one clause.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Inta_ManProofTraceOne( Inta_Man_t * p, Sto_Cls_t * pConflict, Sto_Cls_t * pFinal )
+{
+ Sto_Cls_t * pReason;
+ int i, v, Var, PrevId;
+ int fPrint = 0;
+ int clk = clock();
+
+ // collect resolvent literals
+ if ( p->fProofVerif )
+ {
+ assert( (int)pConflict->nLits <= p->nResLitsAlloc );
+ memcpy( p->pResLits, pConflict->pLits, sizeof(lit) * pConflict->nLits );
+ p->nResLits = pConflict->nLits;
+ }
+
+ // mark all the variables in the conflict as seen
+ for ( v = 0; v < (int)pConflict->nLits; v++ )
+ p->pSeens[lit_var(pConflict->pLits[v])] = 1;
+
+ // start the anticedents
+// pFinal->pAntis = Vec_PtrAlloc( 32 );
+// Vec_PtrPush( pFinal->pAntis, pConflict );
+
+ if ( p->pCnf->nClausesA )
+ Inta_ManAigCopy( p, Inta_ManAigRead(p, pFinal), Inta_ManAigRead(p, pConflict) );
+
+ // follow the trail backwards
+ PrevId = Inta_ManProofGet(p, pConflict);
+ for ( i = p->nTrailSize - 1; i >= 0; i-- )
+ {
+ // skip literals that are not involved
+ Var = lit_var(p->pTrail[i]);
+ if ( !p->pSeens[Var] )
+ continue;
+ p->pSeens[Var] = 0;
+
+ // skip literals of the resulting clause
+ pReason = p->pReasons[Var];
+ if ( pReason == NULL )
+ continue;
+ assert( p->pTrail[i] == pReason->pLits[0] );
+
+ // add the variables to seen
+ for ( v = 1; v < (int)pReason->nLits; v++ )
+ p->pSeens[lit_var(pReason->pLits[v])] = 1;
+
+ // record the reason clause
+ assert( Inta_ManProofGet(p, pReason) > 0 );
+ p->Counter++;
+ if ( p->fProofWrite )
+ fprintf( p->pFile, "%d * %d %d 0\n", p->Counter, PrevId, Inta_ManProofGet(p, pReason) );
+ PrevId = p->Counter;
+
+ if ( p->pCnf->nClausesA )
+ {
+ if ( p->pVarTypes[Var] == 1 ) // var of A
+ Inta_ManAigOr( p, Inta_ManAigRead(p, pFinal), Inta_ManAigRead(p, pReason) );
+ else
+ Inta_ManAigAnd( p, Inta_ManAigRead(p, pFinal), Inta_ManAigRead(p, pReason) );
+ }
+
+ // resolve the temporary resolvent with the reason clause
+ if ( p->fProofVerif )
+ {
+ int v1, v2;
+ if ( fPrint )
+ Inta_ManPrintResolvent( p->pResLits, p->nResLits );
+ // check that the var is present in the resolvent
+ for ( v1 = 0; v1 < p->nResLits; v1++ )
+ if ( lit_var(p->pResLits[v1]) == Var )
+ break;
+ if ( v1 == p->nResLits )
+ printf( "Recording clause %d: Cannot find variable %d in the temporary resolvent.\n", pFinal->Id, Var );
+ if ( p->pResLits[v1] != lit_neg(pReason->pLits[0]) )
+ printf( "Recording clause %d: The resolved variable %d is in the wrong polarity.\n", pFinal->Id, Var );
+ // remove this variable from the resolvent
+ assert( lit_var(p->pResLits[v1]) == Var );
+ p->nResLits--;
+ for ( ; v1 < p->nResLits; v1++ )
+ p->pResLits[v1] = p->pResLits[v1+1];
+ // add variables of the reason clause
+ for ( v2 = 1; v2 < (int)pReason->nLits; v2++ )
+ {
+ for ( v1 = 0; v1 < p->nResLits; v1++ )
+ if ( lit_var(p->pResLits[v1]) == lit_var(pReason->pLits[v2]) )
+ break;
+ // if it is a new variable, add it to the resolvent
+ if ( v1 == p->nResLits )
+ {
+ if ( p->nResLits == p->nResLitsAlloc )
+ printf( "Recording clause %d: Ran out of space for intermediate resolvent.\n", pFinal->Id );
+ p->pResLits[ p->nResLits++ ] = pReason->pLits[v2];
+ continue;
+ }
+ // if the variable is the same, the literal should be the same too
+ if ( p->pResLits[v1] == pReason->pLits[v2] )
+ continue;
+ // the literal is different
+ printf( "Recording clause %d: Trying to resolve the clause with more than one opposite literal.\n", pFinal->Id );
+ }
+ }
+// Vec_PtrPush( pFinal->pAntis, pReason );
+ }
+
+ // unmark all seen variables
+// for ( i = p->nTrailSize - 1; i >= 0; i-- )
+// p->pSeens[lit_var(p->pTrail[i])] = 0;
+ // check that the literals are unmarked
+// for ( i = p->nTrailSize - 1; i >= 0; i-- )
+// assert( p->pSeens[lit_var(p->pTrail[i])] == 0 );
+
+ // use the resulting clause to check the correctness of resolution
+ if ( p->fProofVerif )
+ {
+ int v1, v2;
+ if ( fPrint )
+ Inta_ManPrintResolvent( p->pResLits, p->nResLits );
+ for ( v1 = 0; v1 < p->nResLits; v1++ )
+ {
+ for ( v2 = 0; v2 < (int)pFinal->nLits; v2++ )
+ if ( pFinal->pLits[v2] == p->pResLits[v1] )
+ break;
+ if ( v2 < (int)pFinal->nLits )
+ continue;
+ break;
+ }
+ if ( v1 < p->nResLits )
+ {
+ printf( "Recording clause %d: The final resolvent is wrong.\n", pFinal->Id );
+ Inta_ManPrintClause( p, pConflict );
+ Inta_ManPrintResolvent( p->pResLits, p->nResLits );
+ Inta_ManPrintClause( p, pFinal );
+ }
+
+ // if there are literals in the clause that are not in the resolvent
+ // it means that the derived resolvent is stronger than the clause
+ // we can replace the clause with the resolvent by removing these literals
+ if ( p->nResLits != (int)pFinal->nLits )
+ {
+ for ( v1 = 0; v1 < (int)pFinal->nLits; v1++ )
+ {
+ for ( v2 = 0; v2 < p->nResLits; v2++ )
+ if ( pFinal->pLits[v1] == p->pResLits[v2] )
+ break;
+ if ( v2 < p->nResLits )
+ continue;
+ // remove literal v1 from the final clause
+ pFinal->nLits--;
+ for ( v2 = v1; v2 < (int)pFinal->nLits; v2++ )
+ pFinal->pLits[v2] = pFinal->pLits[v2+1];
+ v1--;
+ }
+ assert( p->nResLits == (int)pFinal->nLits );
+ }
+ }
+p->timeTrace += clock() - clk;
+
+ // return the proof pointer
+ if ( p->pCnf->nClausesA )
+ {
+// Inta_ManPrintInterOne( p, pFinal );
+ }
+ Inta_ManProofSet( p, pFinal, p->Counter );
+ return p->Counter;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Records the proof for one clause.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Inta_ManProofRecordOne( Inta_Man_t * p, Sto_Cls_t * pClause )
+{
+ Sto_Cls_t * pConflict;
+ int i;
+
+ // empty clause never ends up there
+ assert( pClause->nLits > 0 );
+ if ( pClause->nLits == 0 )
+ printf( "Error: Empty clause is attempted.\n" );
+
+ assert( !pClause->fRoot );
+ assert( p->nTrailSize == p->nRootSize );
+
+ // if any of the clause literals are already assumed
+ // it means that the clause is redundant and can be skipped
+ for ( i = 0; i < (int)pClause->nLits; i++ )
+ if ( p->pAssigns[lit_var(pClause->pLits[i])] == pClause->pLits[i] )
+ return 1;
+
+ // add assumptions to the trail
+ for ( i = 0; i < (int)pClause->nLits; i++ )
+ if ( !Inta_ManEnqueue( p, lit_neg(pClause->pLits[i]), NULL ) )
+ {
+ assert( 0 ); // impossible
+ return 0;
+ }
+
+ // propagate the assumptions
+ pConflict = Inta_ManPropagate( p, p->nRootSize );
+ if ( pConflict == NULL )
+ {
+ assert( 0 ); // cannot prove
+ return 0;
+ }
+
+ // construct the proof
+ Inta_ManProofTraceOne( p, pConflict, pClause );
+
+ // undo to the root level
+ Inta_ManCancelUntil( p, p->nRootSize );
+
+ // add large clauses to the watched lists
+ if ( pClause->nLits > 1 )
+ {
+ Inta_ManWatchClause( p, pClause, pClause->pLits[0] );
+ Inta_ManWatchClause( p, pClause, pClause->pLits[1] );
+ return 1;
+ }
+ assert( pClause->nLits == 1 );
+
+ // if the clause proved is unit, add it and propagate
+ if ( !Inta_ManEnqueue( p, pClause->pLits[0], pClause ) )
+ {
+ assert( 0 ); // impossible
+ return 0;
+ }
+
+ // propagate the assumption
+ pConflict = Inta_ManPropagate( p, p->nRootSize );
+ if ( pConflict )
+ {
+ // construct the proof
+ Inta_ManProofTraceOne( p, pConflict, p->pCnf->pEmpty );
+// if ( p->fVerbose )
+// printf( "Found last conflict after adding unit clause number %d!\n", pClause->Id );
+ return 0;
+ }
+
+ // update the root level
+ p->nRootSize = p->nTrailSize;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Propagate the root clauses.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Inta_ManProcessRoots( Inta_Man_t * p )
+{
+ Sto_Cls_t * pClause;
+ int Counter;
+
+ // make sure the root clauses are preceeding the learnt clauses
+ Counter = 0;
+ Sto_ManForEachClause( p->pCnf, pClause )
+ {
+ assert( (int)pClause->fA == (Counter < (int)p->pCnf->nClausesA) );
+ assert( (int)pClause->fRoot == (Counter < (int)p->pCnf->nRoots) );
+ Counter++;
+ }
+ assert( p->pCnf->nClauses == Counter );
+
+ // make sure the last clause if empty
+ assert( p->pCnf->pTail->nLits == 0 );
+
+ // go through the root unit clauses
+ p->nTrailSize = 0;
+ Sto_ManForEachClauseRoot( p->pCnf, pClause )
+ {
+ // create watcher lists for the root clauses
+ if ( pClause->nLits > 1 )
+ {
+ Inta_ManWatchClause( p, pClause, pClause->pLits[0] );
+ Inta_ManWatchClause( p, pClause, pClause->pLits[1] );
+ }
+ // empty clause and large clauses
+ if ( pClause->nLits != 1 )
+ continue;
+ // unit clause
+ assert( lit_check(pClause->pLits[0], p->pCnf->nVars) );
+ if ( !Inta_ManEnqueue( p, pClause->pLits[0], pClause ) )
+ {
+ // detected root level conflict
+// printf( "Error in Inta_ManProcessRoots(): Detected a root-level conflict too early!\n" );
+// assert( 0 );
+ // detected root level conflict
+ Inta_ManProofTraceOne( p, pClause, p->pCnf->pEmpty );
+ if ( p->fVerbose )
+ printf( "Found root level conflict!\n" );
+ return 0;
+ }
+ }
+
+ // propagate the root unit clauses
+ pClause = Inta_ManPropagate( p, 0 );
+ if ( pClause )
+ {
+ // detected root level conflict
+ Inta_ManProofTraceOne( p, pClause, p->pCnf->pEmpty );
+ if ( p->fVerbose )
+ printf( "Found root level conflict!\n" );
+ return 0;
+ }
+
+ // set the root level
+ p->nRootSize = p->nTrailSize;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Records the proof.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Inta_ManPrepareInter( Inta_Man_t * p )
+{
+ Sto_Cls_t * pClause;
+ int Var, VarAB, v;
+
+ // set interpolants for root clauses
+ Sto_ManForEachClauseRoot( p->pCnf, pClause )
+ {
+ if ( !pClause->fA ) // clause of B
+ {
+ Inta_ManAigFill( p, Inta_ManAigRead(p, pClause) );
+// Inta_ManPrintInterOne( p, pClause );
+ continue;
+ }
+ // clause of A
+ Inta_ManAigClear( p, Inta_ManAigRead(p, pClause) );
+ for ( v = 0; v < (int)pClause->nLits; v++ )
+ {
+ Var = lit_var(pClause->pLits[v]);
+ if ( p->pVarTypes[Var] < 0 ) // global var
+ {
+ VarAB = -p->pVarTypes[Var]-1;
+ assert( VarAB >= 0 && VarAB < Vec_IntSize(p->vVarsAB) );
+ if ( lit_sign(pClause->pLits[v]) ) // negative var
+ Inta_ManAigOrNotVar( p, Inta_ManAigRead(p, pClause), VarAB );
+ else
+ Inta_ManAigOrVar( p, Inta_ManAigRead(p, pClause), VarAB );
+ }
+ }
+// Inta_ManPrintInterOne( p, pClause );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes interpolant for the given CNF.]
+
+ Description [Takes the interpolation manager, the CNF deriving by the SAT
+ solver, which includes ClausesA, ClausesB, and learned clauses. Additional
+ arguments are the vector of variables common to AB and the verbosiness flag.
+ Returns the AIG manager with a single output, containing the interpolant.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void * Inta_ManInterpolate( Inta_Man_t * p, Sto_Man_t * pCnf, void * vVarsAB, int fVerbose )
+{
+ Aig_Man_t * pRes;
+ Aig_Obj_t * pObj;
+ Sto_Cls_t * pClause;
+ int RetValue = 1;
+ int clkTotal = clock();
+
+ // check that the CNF makes sense
+ assert( pCnf->nVars > 0 && pCnf->nClauses > 0 );
+ p->pCnf = pCnf;
+ p->fVerbose = fVerbose;
+ p->vVarsAB = vVarsAB;
+ p->pAig = pRes = Aig_ManStart( 10000 );
+ Aig_IthVar( p->pAig, Vec_IntSize(p->vVarsAB) - 1 );
+
+ // adjust the manager
+ Inta_ManResize( p );
+
+ // prepare the interpolant computation
+ Inta_ManPrepareInter( p );
+
+ // construct proof for each clause
+ // start the proof
+ if ( p->fProofWrite )
+ {
+ p->pFile = fopen( "proof.cnf_", "w" );
+ p->Counter = 0;
+ }
+
+ // write the root clauses
+ Sto_ManForEachClauseRoot( p->pCnf, pClause )
+ Inta_ManProofWriteOne( p, pClause );
+
+ // propagate root level assignments
+ if ( Inta_ManProcessRoots( p ) )
+ {
+ // if there is no conflict, consider learned clauses
+ Sto_ManForEachClause( p->pCnf, pClause )
+ {
+ if ( pClause->fRoot )
+ continue;
+ if ( !Inta_ManProofRecordOne( p, pClause ) )
+ {
+ RetValue = 0;
+ break;
+ }
+ }
+ }
+
+ // stop the proof
+ if ( p->fProofWrite )
+ {
+ fclose( p->pFile );
+ p->pFile = NULL;
+ }
+
+ if ( fVerbose )
+ {
+// PRT( "Interpo", clock() - clkTotal );
+ printf( "Vars = %d. Roots = %d. Learned = %d. Resol steps = %d. Ave = %.2f. Mem = %.2f Mb\n",
+ p->pCnf->nVars, p->pCnf->nRoots, p->pCnf->nClauses-p->pCnf->nRoots, p->Counter,
+ 1.0*(p->Counter-p->pCnf->nRoots)/(p->pCnf->nClauses-p->pCnf->nRoots),
+ 1.0*Sto_ManMemoryReport(p->pCnf)/(1<<20) );
+p->timeTotal += clock() - clkTotal;
+ }
+
+ pObj = *Inta_ManAigRead( p, p->pCnf->pTail );
+ Aig_ObjCreatePo( pRes, pObj );
+ Aig_ManCleanup( pRes );
+
+ p->pAig = NULL;
+ return pRes;
+
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Aig_Man_t * Inta_ManDeriveClauses( Inta_Man_t * pMan, Sto_Man_t * pCnf, int fClausesA )
+{
+ Aig_Man_t * p;
+ Aig_Obj_t * pMiter, * pSum, * pLit;
+ Sto_Cls_t * pClause;
+ int Var, VarAB, v;
+ p = Aig_ManStart( 10000 );
+ pMiter = Aig_ManConst1(p);
+ Sto_ManForEachClauseRoot( pCnf, pClause )
+ {
+ if ( fClausesA ^ pClause->fA ) // clause of B
+ continue;
+ // clause of A
+ pSum = Aig_ManConst0(p);
+ for ( v = 0; v < (int)pClause->nLits; v++ )
+ {
+ Var = lit_var(pClause->pLits[v]);
+ if ( pMan->pVarTypes[Var] < 0 ) // global var
+ {
+ VarAB = -pMan->pVarTypes[Var]-1;
+ assert( VarAB >= 0 && VarAB < Vec_IntSize(pMan->vVarsAB) );
+ pLit = Aig_NotCond( Aig_IthVar(p, VarAB), lit_sign(pClause->pLits[v]) );
+ }
+ else
+ pLit = Aig_NotCond( Aig_IthVar(p, Vec_IntSize(pMan->vVarsAB)+1+Var), lit_sign(pClause->pLits[v]) );
+ pSum = Aig_Or( p, pSum, pLit );
+ }
+ pMiter = Aig_And( p, pMiter, pSum );
+ }
+ Aig_ObjCreatePo( p, pMiter );
+ return p;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
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