From 4a62230425a3e48dad45de0ad881b69ab9a1baba Mon Sep 17 00:00:00 2001 From: cav Date: Wed, 11 Sep 2019 15:07:00 -0400 Subject: [PATCH] more structure --- README.md | 3 + build.sh | 4 + cnf/510-4.cnf | 10527 +++++++++++++ cnf/510-5.cnf | 13031 ++++++++++++++++ cnf/small-sat.cnf | 9 + cnf/small-unsat.cnf | 10 + edge/510.edge | 2505 +++ small-graph.edge => edge/small-graph.edge | 0 .../org.sat4j.core-2.3.1.jar | Bin color-encode.c => tools/color-encode.c | 0 tools/drat-trim.c | 1635 ++ 11 files changed, 27724 insertions(+) create mode 100755 build.sh create mode 100644 cnf/510-4.cnf create mode 100644 cnf/510-5.cnf create mode 100644 cnf/small-sat.cnf create mode 100644 cnf/small-unsat.cnf create mode 100644 edge/510.edge rename small-graph.edge => edge/small-graph.edge (100%) rename org.sat4j.core-2.3.1.jar => solvers/org.sat4j.core-2.3.1.jar (100%) rename color-encode.c => tools/color-encode.c (100%) create mode 100644 tools/drat-trim.c diff --git a/README.md b/README.md index 04140e0..9724669 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,5 @@ # sat-examples Simple examples of using SAT solvers + +# build +build the tools using: ./build.sh diff --git a/build.sh b/build.sh new file mode 100755 index 0000000..29797d4 --- /dev/null +++ b/build.sh @@ -0,0 +1,4 @@ +set -x +gcc tools/drat-trim.c -O2 -o tools/drat-trim +gcc tools/color-encode.c -O2 -o tools/color-encode + diff --git a/cnf/510-4.cnf b/cnf/510-4.cnf new file mode 100644 index 0000000..59db5fb --- /dev/null +++ b/cnf/510-4.cnf @@ -0,0 +1,10527 @@ +p cnf 2040 10526 +1 2 3 4 0 +5 6 7 8 0 +9 10 11 12 0 +13 14 15 16 0 +17 18 19 20 0 +21 22 23 24 0 +25 26 27 28 0 +29 30 31 32 0 +33 34 35 36 0 +37 38 39 40 0 +41 42 43 44 0 +45 46 47 48 0 +49 50 51 52 0 +53 54 55 56 0 +57 58 59 60 0 +61 62 63 64 0 +65 66 67 68 0 +69 70 71 72 0 +73 74 75 76 0 +77 78 79 80 0 +81 82 83 84 0 +85 86 87 88 0 +89 90 91 92 0 +93 94 95 96 0 +97 98 99 100 0 +101 102 103 104 0 +105 106 107 108 0 +109 110 111 112 0 +113 114 115 116 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100% rename from org.sat4j.core-2.3.1.jar rename to solvers/org.sat4j.core-2.3.1.jar diff --git a/color-encode.c b/tools/color-encode.c similarity index 100% rename from color-encode.c rename to tools/color-encode.c diff --git a/tools/drat-trim.c b/tools/drat-trim.c new file mode 100644 index 0000000..9cc65ce --- /dev/null +++ b/tools/drat-trim.c @@ -0,0 +1,1635 @@ +/************************************************************************************[drat-trim.c] +Copyright (c) 2014 Marijn Heule and Nathan Wetzler, The University of Texas at Austin. +Copyright (c) 2015-2018 Marijn Heule, The University of Texas at Austin. +Last edit, October 30, 2018 + +Permission is hereby granted, free of charge, to any person obtaining a copy of this software and +associated documentation files (the "Software"), to deal in the Software without restriction, +including without limitation the rights to use, copy, modify, merge, publish, distribute, +sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all copies or +substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT +NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, +DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT +OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. +**************************************************************************************************/ + +#include +#include +#include +#include + +#define TIMEOUT 20000 +#define BIGINIT 1000000 +#define INIT 4 +#define END 0 +#define UNSAT 0 +#define SAT 1 +#define ID -1 +#define PIVOT -2 +#define MAXDEP -3 +#define EXTRA 4 // ID + PIVOT + MAXDEP + terminating 0 +#define INFOBITS 2 // could be 1 for SAT, must be 2 for QBF +#define DBIT 1 +#define ASSUMED 2 +#define MARK 3 +#define ERROR -1 +#define ACTIVE 1 + +#define FORWARD_SAT 10 +#define FORWARD_UNSAT 20 +#define BACKWARD_UNSAT 30 +#define SUCCESS 40 +#define FAILED 50 +#define FIXPOINT 60 +#define NOWARNING 70 +#define HARDWARNING 80 + +#define COMPRESS + +struct solver { FILE *inputFile, *proofFile, *lratFile, *traceFile, *activeFile; + int *DB, nVars, timeout, mask, delete, *falseStack, *falseA, *forced, binMode, optimize, binOutput, + *processed, *assigned, count, *used, *max, COREcount, RATmode, RATcount, nActive, *lratTable, + nLemmas, maxRAT, *RATset, *preRAT, maxDependencies, nDependencies, bar, backforce, reduce, + *dependencies, maxVar, maxSize, mode, verb, unitSize, prep, *current, nRemoved, warning, + delProof, *setMap, *setTruth; + char *coreStr, *lemmaStr; + struct timeval start_time; + long mem_used, time, nClauses, nStep, nOpt, nAlloc, *unitStack, *reason, lemmas, nResolve, + nReads, nWrites, lratSize, lratAlloc, *lratLookup, **wlist, *optproof, *formula, *proof; }; + +static inline void assign (struct solver* S, int lit) { + S->falseA[-lit] = 1; *(S->assigned++) = -lit; } + +int compare (const void *a, const void *b) { + return (*(int*)a - *(int*)b); } + +int abscompare (const void *a, const void *b) { + return (abs(*(int*)a) - abs(*(int*)b)); } + +static inline void printClause (int* clause) { + printf ("[%i] ", clause[ID]); + while (*clause) printf ("%i ", *clause++); printf ("0\n"); } + +static inline void addWatchPtr (struct solver* S, int lit, long watch) { + if (S->used[lit] + 1 == S->max[lit]) { S->max[lit] *= 1.5; + S->wlist[lit] = (long *) realloc (S->wlist[lit], sizeof (long) * S->max[lit]); +// if (S->max[lit] > 1000) printf("c watchlist %i increased to %i\n", lit, S->max[lit]); + if (S->wlist[lit] == NULL) { printf("c MEMOUT: reallocation failed for watch list of %i\n", lit); exit (0); } } + S->wlist[lit][ S->used[lit]++ ] = watch | S->mask; + S->wlist[lit][ S->used[lit] ] = END; } + +static inline void addWatch (struct solver* S, int* clause, int index) { + addWatchPtr (S, clause[index], ((long) (((clause) - S->DB)) << 1)); } + +static inline void removeWatch (struct solver* S, int* clause, int index) { + int i, lit = clause[index]; + if ((S->used[lit] > INIT) && (S->max[lit] > 2 * S->used[lit])) { + S->max[lit] = (3 * S->used[lit]) >> 1; + S->wlist[lit] = (long *) realloc (S->wlist[lit], sizeof (long) * S->max[lit]); + assert(S->wlist[lit] != NULL); } + long *watch = S->wlist[lit]; + for (i = 0; i < S->used[lit]; i++) { + int* _clause = S->DB + (*(watch++) >> 1); + if (_clause == clause) { + watch[-1] = S->wlist[lit][ --S->used[lit] ]; + S->wlist[lit][ S->used[lit] ] = END; return; } } } + +static inline void addUnit (struct solver* S, long index) { + S->unitStack[S->unitSize++] = index; } + +static inline void removeUnit (struct solver* S, int lit) { + int i, found = 0; + for (i = 0; i < S->unitSize; i++) { + if (found) S->unitStack[i - 1] = S->unitStack[i]; + if (S->DB[ S->unitStack[i] ] == lit) found = 1; } + S->unitSize--; } + +static inline void unassignUnit (struct solver* S, int lit) { + if (S->verb) + printf ("\rc removing unit %i\n", lit); + while (S->falseA[-lit]) { + if (S->verb) + printf ("\rc removing unit %i (%i)\n", S->forced[-1], lit); + S->falseA[*(--S->forced)] = 0; + S->reason[abs(*S->forced)] = 0; } + S->processed = S->assigned = S->forced; } + +static inline void markWatch (struct solver* S, int* clause, int index, int offset) { + long* watch = S->wlist[ clause[ index ] ]; + for (;;) { + int *_clause = (S->DB + (*(watch++) >> 1) + (long) offset); + if (_clause == clause) { watch[ID] |= ACTIVE; return; } } } + +static inline void addDependency (struct solver* S, int dep, int forced) { + if (1 || S->traceFile || S->lratFile) { // temporary for MAXDEP + if (S->nDependencies == S->maxDependencies) { + S->maxDependencies = (S->maxDependencies * 3) >> 1; +// printf ("c dependencies increased to %i\n", S->maxDependencies); + S->dependencies = realloc (S->dependencies, sizeof (int) * S->maxDependencies); + if (S->dependencies == NULL) { printf ("c MEMOUT: dependencies reallocation failed\n"); exit (0); } } +// printf("c adding dep %i\n", (dep << 1) + forced); + S->dependencies[S->nDependencies++] = (dep << 1) + forced; } } + +static inline void markClause (struct solver* S, int* clause, int index) { + S->nResolve++; + addDependency (S, clause[index - 1] >> 1, (S->assigned > S->forced)); + + if ((clause[index + ID] & ACTIVE) == 0) { + S->nActive++; + clause[index + ID] |= ACTIVE; + if ((S->mode == BACKWARD_UNSAT) && clause[index + 1]) { + S->optproof[S->nOpt++] = (((long) (clause - S->DB) + index) << INFOBITS) + 1; } + if (clause[1 + index] == 0) return; + markWatch (S, clause, index, -index); + markWatch (S, clause, 1 + index, -index); } + while (*clause) S->falseA[*(clause++)] = MARK; } + +void analyze (struct solver* S, int* clause, int index) { // Mark all clauses involved in conflict + markClause (S, clause, index); + while (S->assigned > S->falseStack) { + int lit = *(--S->assigned); + if (S->falseA[lit] == MARK) { + if (S->reason[abs (lit)]) { + markClause (S, S->DB + S->reason[abs (lit)], -1); + if (S->assigned >= S->forced) + S->reason[abs (lit)] = 0; } } + else if (S->falseA[lit] == ASSUMED && !S->RATmode && S->reduce && !S->lratFile) { // Remove unused literal + S->nRemoved++; + int *tmp = S->current; + while (*tmp != lit) tmp++; + while (*tmp) { tmp[0] = tmp[1]; tmp++; } + tmp[-1] = 0; } + if (S->assigned >= S->forced) S->reason[abs (lit)] = 0; + S->falseA[lit] = (S->assigned < S->forced); } + + S->processed = S->assigned = S->forced; } + +void noAnalyze (struct solver* S) { + while (S->assigned > S->falseStack) { + int lit = *(--S->assigned); + if (S->assigned >= S->forced) S->reason[abs (lit)] = 0; + S->falseA[lit] = (S->assigned < S->forced); } + + S->processed = S->assigned = S->forced; } + +int propagate (struct solver* S, int init, int mark) { // Performs unit propagation (init not used?) + int *start[2]; + int check = 0, mode = !S->prep; + int i, lit, _lit = 0; long *watch, *_watch; + start[0] = start[1] = S->processed; + flip_check:; + check ^= 1; + while (start[check] < S->assigned) { // While unprocessed false literals + lit = *(start[check]++); // Get first unprocessed literal + if (lit == _lit) watch = _watch; + else watch = S->wlist[ lit ]; // Obtain the first watch pointer + while (*watch != END) { // While there are watched clauses (watched by lit) + if ((*watch & mode) != check) { + watch++; continue; } + int *clause = S->DB + (*watch >> 1); // Get the clause from DB + if (S->falseA[ -clause[0] ] || + S->falseA[ -clause[1] ]) { + watch++; continue; } + if (clause[0] == lit) clause[0] = clause[1]; // Ensure that the other watched literal is in front + for (i = 2; clause[i]; ++i) // Scan the non-watched literals + if (S->falseA[ clause[i] ] == 0) { // When clause[j] is not false, it is either true or unset + clause[1] = clause[i]; clause[i] = lit; // Swap literals + addWatchPtr (S, clause[1], *watch); // Add the watch to the list of clause[1] + *watch = S->wlist[lit][ --S->used[lit] ]; // Remove pointer + S->wlist[lit][ S->used[lit] ] = END; + goto next_clause; } // Goto the next watched clause + clause[1] = lit; watch++; // Set lit at clause[1] and set next watch + if (!S->falseA[ clause[0] ]) { // If the other watched literal is falsified, + assign (S, clause[0]); // A unit clause is found, and the reason is set + S->reason[abs (clause[0])] = ((long) ((clause)-S->DB)) + 1; + if (!check) { + start[0]--; _lit = lit; _watch = watch; + goto flip_check; } } + else if (!mark) { noAnalyze (S); return UNSAT; } + else { analyze (S, clause, 0); return UNSAT; } // Found a root level conflict -> UNSAT + next_clause: ; } } // Set position for next clause + if (check) goto flip_check; + S->processed = S->assigned; + return SAT; } // Finally, no conflict was found + + +// Propagate top level units +static inline int propagateUnits (struct solver* S, int init) { + int i; +// printf("c propagateUnits %i\n", S->unitSize); + while (S->forced > S->falseStack) { + S->falseA[*(--S->forced)] = 0; + S->reason[abs (*S->forced)] = 0; } + S->forced = S->assigned = S->processed = S->falseStack; + for (i = 0; i < S->unitSize; i++) { + int lit = S->DB[ S->unitStack[i] ]; + S->reason[abs (lit)] = S->unitStack[i] + 1; + assign (S, lit); } + + if (propagate (S, init, 1) == UNSAT) { return UNSAT; } + S->forced = S->processed; + return SAT; } + +// Put falsified literals at the end and returns the size under the current +// assignment: negative size means satisfied, size = 0 means falsified +int sortSize (struct solver *S, int *lemma) { + unsigned int size = 0, last = 0, sat = 1; + while (lemma[last]) { + int lit = lemma[last++]; + if (S->falseA[lit] == 0) { + if (S->falseA[-lit]) sat = -1; + lemma[last-1] = lemma[ size ]; + lemma[size++] = lit; } } + return sat * size; } + +// print the core clauses to coreFile in DIMACS format +void printCore (struct solver *S) { + int i, j; + for (i = 0; i < S->nClauses; i++) { + int *clause = S->DB + (S->formula[i] >> INFOBITS); + if (clause[ID] & ACTIVE) S->COREcount++; } + printf ("\rc %i of %li clauses in core \n", S->COREcount, S->nClauses); + + if (S->coreStr) { + FILE *coreFile = fopen (S->coreStr, "w"); + fprintf (coreFile, "p cnf %i %i\n", S->nVars, S->COREcount); + for (i = 0; i < S->nClauses; i++) { + int *clause = S->DB + (S->formula[i] >> INFOBITS); + if (clause[ID] & ACTIVE) { + while (*clause) fprintf (coreFile, "%i ", *clause++); + fprintf (coreFile, "0\n"); } } + fclose (coreFile); } } + +void write_lit (struct solver *S, FILE *output, int lit) { // change to long? + unsigned int l = abs (lit) << 1; + if (lit < 0) l++; + + do { + if (l <= 127) { fputc ((char) l, output); } + else { fputc ((char) (128 + (l & 127)), output); } + S->nWrites++; + l = l >> 7; } + while (l); } + +void printLRATline (struct solver *S, int time) { + int *line = S->lratTable + S->lratLookup[time]; + if (S->binOutput) { + fputc ('a', S->lratFile); S->nWrites++; + while (*line) write_lit (S, S->lratFile, *line++); + write_lit (S, S->lratFile, *line++); + while (*line) write_lit (S, S->lratFile, *line++); + write_lit (S, S->lratFile, *line++); } + else { + while (*line) fprintf (S->lratFile, "%i ", *line++); + fprintf (S->lratFile, "%i ", *line++); + while (*line) fprintf (S->lratFile, "%i ", *line++); + fprintf (S->lratFile, "%i\n", *line++); } } + +// print the core lemmas to lemmaFile in DRAT format +void printProof (struct solver *S) { + int step; + printf ("\rc %i of %i lemmas in core using %lu resolution steps\n", S->nActive - S->COREcount + 1, S->nLemmas + 1, S->nResolve); + printf ("\rc %d RAT lemmas in core; %i redundant literals in core lemmas\n", S->RATcount, S->nRemoved); + + // NB: not yet working with forward checking + if (S->mode == FORWARD_UNSAT) { + printf ("\rc optimized proofs are not supported for forward checking\n"); + return; } + + // replace S->proof by S->optproof + if (S->mode == BACKWARD_UNSAT) { + if (S->nOpt > S->nAlloc) { + S->nAlloc = S->nOpt; + S->proof = (long*) realloc (S->proof, sizeof (long) * S->nAlloc); + if (S->proof == NULL) { printf("c MEMOUT: reallocation of proof list failed\n"); exit (0); } } + S->nStep = 0; + S->nLemmas = 0; + for (step = S->nOpt - 1; step >= 0; step--) { + long ad = S->optproof[step]; + int *lemmas = S->DB + (ad >> INFOBITS); + if ((ad & 1) == 0) S->nLemmas++; +// if (lemmas[ID] & ACTIVE) lemmas[ID] ^= ACTIVE; // only useful for checking multiple times? + S->proof[S->nStep++] = S->optproof[step]; } } // why not reuse ad? + + if (S->lemmaStr) { + FILE *lemmaFile = fopen (S->lemmaStr, "w"); + for (step = 0; step < S->nStep; step++) { + long ad = S->proof[step]; + int *lemmas = S->DB + (ad >> INFOBITS); + if (!lemmas[1] && (ad & 1)) continue; // don't delete unit clauses + if (S->binOutput) { + S->nWrites++; + if (ad & 1) fputc ('d', lemmaFile); + else fputc ('a', lemmaFile); } + else if (ad & 1) fprintf (lemmaFile, "d "); + int reslit = lemmas[PIVOT]; + while (*lemmas) { + int lit = *lemmas++; + if (lit == reslit) { + if (S->binOutput) write_lit (S, lemmaFile, lit); + else fprintf (lemmaFile, "%i ", lit); } } + lemmas = S->DB + (ad >> INFOBITS); + while (*lemmas) { + int lit = *lemmas++; + if (lit != reslit) { + if (S->binOutput) write_lit (S, lemmaFile, lit); + else fprintf (lemmaFile, "%i ", lit); } } + if (S->binOutput) write_lit (S, lemmaFile, 0); + else fprintf (lemmaFile, "0\n"); } + if (S->binOutput) { fputc ('a', lemmaFile); write_lit (S, lemmaFile, 0); } + else fprintf (lemmaFile, "0\n"); + fclose (lemmaFile); } + + if (S->lratFile) { + int lastAdded = S->nClauses; + int flag = 0; + for (step = 0; step < S->nStep; step++) { + long ad = S->proof[step]; + int *lemmas = S->DB + (ad >> INFOBITS); + if ((ad & 1) == 0) { + if (lastAdded == 0) { + if (S->binOutput) { + write_lit (S, S->lratFile, 0); } + else { + fprintf (S->lratFile, "0\n"); } } + lastAdded = lemmas[ID] >> 1; + printLRATline (S, lastAdded); } + else if (lastAdded == S->nClauses) continue; + else if (!lemmas[1] && (ad & 1)) continue; // don't delete unit clauses + else if (ad & 1) { + if (lastAdded != 0) { + if (S->binOutput) { + fputc ('d', S->lratFile); S->nWrites++; } + else { + fprintf (S->lratFile, "%i d ", lastAdded); } } + lastAdded = 0; + if (S->binOutput) { + write_lit (S, S->lratFile, lemmas[ID] >> 1); } + else { + fprintf (S->lratFile, "%i ", lemmas[ID] >> 1); } } } + if (lastAdded != S->nClauses) { + if (S->binOutput) { + write_lit (S, S->lratFile, 0); } + else { + fprintf(S->lratFile, "0\n"); } } + + printLRATline (S, S->count); + + fclose (S->lratFile); + if (S->nWrites) + printf ("c wrote optimized proof in LRAT format of %li bytes\n", S->nWrites); } } + +void printNoCore (struct solver *S) { + if (S->lratFile) { + if (S->binOutput) { + fputc ('d', S->lratFile); S->nWrites++; } + else { + fprintf (S->lratFile, "%ld d ", S->nClauses); } + int i; + for (i = 0; i < S->nClauses; i++) { + int *clause = S->DB + (S->formula[i] >> INFOBITS); + if ((clause[ID] & ACTIVE) == 0) { + if (S->binOutput) { + write_lit (S, S->lratFile, clause[ID] >> 1); } + else { + fprintf (S->lratFile, "%i ", clause[ID] >> 1); } } } + if (S->binOutput) { + write_lit (S, S->lratFile, 0); } + else { + fprintf (S->lratFile, "0\n"); } } } + +// print the dependency graph to traceFile in TraceCheck+ format +// this procedure adds the active clauses at the end of the trace +void printTrace (struct solver *S) { + if (S->traceFile) { int i; + for (i = 0; i < S->nClauses; i++) { + int *clause = S->DB + (S->formula[i] >> INFOBITS); + if (clause[ID] & ACTIVE) { + fprintf (S->traceFile, "%i ", i + 1); + while (*clause) fprintf (S->traceFile, "%i ", *clause++); + fprintf (S->traceFile, "0 0\n"); } } + fclose (S->traceFile); } } + +void printActive (struct solver *S) { + int i, j; + if (S->activeFile) { + for (i = -S->maxVar; i <= S->maxVar; i++) + if (i != 0) + for (j = 0; j < S->used[i]; j++) { + int *clause = S->DB + (S->wlist[i][j] >> 1); + if (*clause == i) { + while (*clause) + fprintf (S->activeFile, "%i ", *clause++); + fprintf (S->activeFile, "0\n"); } } } } + +void postprocess (struct solver *S) { + printNoCore (S); // print before proof optimization + printActive (S); + printCore (S); + printTrace (S); // closes traceFile + printProof (S); } // closes lratFile + +void lratAdd (struct solver *S, int elem) { + if (S->lratSize == S->lratAlloc) { + S->lratAlloc = S->lratAlloc * 3 >> 1; + S->lratTable = (int *) realloc (S->lratTable, sizeof (int) * S->lratAlloc); } + S->lratTable[S->lratSize++] = elem; } + +void printDependenciesFile (struct solver *S, int* clause, int RATflag, int mode) { + FILE *file = NULL; + if (mode == 0) file = S->traceFile; + if (mode == 1) file = S->lratFile; + + if (file) { + int i, j, k; + int tmp = S->lratSize; + + if (clause != NULL) { + S->lratLookup[clause[ID] >> 1] = S->lratSize; } + else { S->lratLookup[S->count] = S->lratSize; } + + if (clause != NULL) { + int size = 0; + int *sortClause; + sortClause = (int *) malloc (sizeof(int) * S->maxSize); + lratAdd (S, S->time >> 1); // NB: long to ing + int reslit = clause[PIVOT]; + while (*clause) { + if (*clause == reslit) + lratAdd (S, reslit); + sortClause[size++] = *clause++; } + qsort (sortClause, size, sizeof (int), abscompare); + for (i = 0; i < size; i++) { + int lit = sortClause[i]; + if (lit != reslit) + lratAdd (S, lit); } } + else { lratAdd (S, S->count); } + lratAdd (S, 0); + + int isRUP = 1; + for (i = 0; i < S->nDependencies; i++) + if (S->dependencies[i] < 0) { isRUP = 0; break; } + + if (isRUP) { + for (i = S->nDependencies - 1; i >= 0; i--) + lratAdd (S, S->dependencies[i] >> 1); + lratAdd (S, 0); + goto printLine; } + + // first print the preRAT units in order of becoming unit + int size = 0; + for (i = 0; i < S->nDependencies; i++) { + if (S->dependencies[i] > 0) continue; + for (j = i - 1; j >= 0 && S->dependencies[j] > 0; j--) { + int flag = 0; + int cls = S->dependencies[j]; + if (cls & 1) continue; + for (k = 0; k < size; k++) + if (S->preRAT[k] == cls) flag = 1; + if (!flag) { + S->preRAT[size++] = cls; + lratAdd (S, cls >> 1); } } } + + // print dependencies in order of becoming unit + for (i = S->nDependencies - 1; i >= 0; i--) { + int cls = S->dependencies[i]; + if ((mode == 0) && (cls < 0)) continue; + if (mode == 0) { + int flag = 0; + for (j = 0; j < size; j++) + if (S->preRAT[j] == cls) flag = 1; + if (!flag) { + S->preRAT[size++] = cls; + lratAdd (S, cls >> 1); } } + if ((mode == 1) && (cls & 1)) + lratAdd (S, cls >> 1); } + lratAdd (S, 0); + + printLine:; + if (mode == 0) { + for (i = tmp; i < S->lratSize; i++) + fprintf (file, "%d ", S->lratTable[i]); + S->lratSize = tmp; + fprintf (file, "\n"); } } } + +void printDependencies (struct solver *S, int* clause, int RATflag) { + if (clause != NULL) { + int i; + clause[MAXDEP] = 0; + for (i = 0; i < S->nDependencies; i++) { +// printf ("%i ", S->dependencies[i]); + if (S->dependencies[i] > clause[MAXDEP]) + clause[MAXDEP] = S->dependencies[i]; } +// printf("\n%i :", clause[MAXDEP]); +// printClause(clause); + assert (clause[MAXDEP] < clause[ID]); + } + + printDependenciesFile (S, clause, RATflag, 0); + printDependenciesFile (S, clause, RATflag, 1); } + +int checkRAT (struct solver *S, int pivot, int mark) { + int i, j, nRAT = 0; + + // Loop over all literals to calculate resolution candidates + for (i = -S->maxVar; i <= S->maxVar; i++) { + if (i == 0) continue; + // Loop over all watched clauses for literal + for (j = 0; j < S->used[i]; j++) { + int* watched = S->DB + (S->wlist[i][j] >> 1); + int id = watched[ID] >> 1; + int active = watched[ID] & ACTIVE; + if (*watched == i) { // If watched literal is in first position + while (*watched) + if (*watched++ == -pivot) { + if ((S->mode == BACKWARD_UNSAT) && !active) { +// printf ("\rc RAT check ignores unmarked clause : "); printClause (S->DB + (S->wlist[i][j] >> 1)); + continue; } + if (nRAT == S->maxRAT) { + S->maxRAT = (S->maxRAT * 3) >> 1; + S->RATset = realloc (S->RATset, sizeof (int) * S->maxRAT); + assert (S->RATset != NULL); } + S->RATset[nRAT++] = S->wlist[i][j] >> 1; + break; } } } } + + // S->prep = 1; + // Check all clauses in RATset for RUP + int flag = 1; + qsort (S->RATset, nRAT, sizeof (int), compare); + S->nDependencies = 0; + for (i = nRAT - 1; i >= 0; i--) { + int* RATcls = S->DB + S->RATset[i]; + int id = RATcls[ID] >> 1; + int blocked = 0; + long int reason = 0; + if (S->verb) { + printf ("\rc RAT clause: "); printClause (RATcls); } + + while (*RATcls) { + int lit = *RATcls++; + if (lit != -pivot && S->falseA[-lit]) + if (!blocked || reason > S->reason[abs (lit)]) + blocked = lit, reason = S->reason[abs (lit)]; } + + if (blocked && reason) { + analyze (S, S->DB + reason, -1); + S->reason[abs (blocked)] = 0; } + + if (!blocked) { + RATcls = S->DB + S->RATset[i]; + while (*RATcls) { + int lit = *RATcls++; + if (lit != -pivot && !S->falseA[lit]) { + assign (S, -lit); S->reason[abs (lit)] = 0; } } + if (propagate (S, 0, mark) == SAT) { flag = 0; break; } } + addDependency (S, -id, 1); } + + if (flag == 0) { + while (S->forced < S->assigned) { + S->falseA[*(--S->assigned)] = 0; + S->reason[abs (*S->assigned)] = 0; } + if (S->verb) printf ("\rc RAT check on pivot %i failed\n", pivot); + return FAILED; } + + return SUCCESS; } + +int setUCP (struct solver *S, int *cnf, int *trail) { + int touched = 0, satisfied = 1; + int *clause = cnf; + + while (*clause) { + int *literals = clause; + int unit = 0, sat = 0, und = 0; + int i; + while (*literals) { + int lit = *literals++; + if (S->setTruth[ lit ] == 1) { sat = 1; } + if (S->setTruth[ lit ] == 0) { und++; unit = lit; } } + clause = literals + 1; + if (!sat && und == 1) { + sat = 1; + touched = 1; + *trail++ = unit; + *trail = 0; + if (S->verb) printf("c found unit %i\n", unit); + S->setTruth[ unit] = 1; + S->setTruth[-unit] = -1; } + satisfied &= sat; + if (!sat && !und) return FAILED; } + + *trail = 0; + if (satisfied) return SUCCESS; + if ( touched ) return setUCP (S, cnf, trail); + return FIXPOINT; } + +/* +int setDLL (struct solver *S, int *cnf, int *trail) { + int res = setUCP (S, cnf, trail); + if (res == SUCCESS) return SUCCESS; + if (res == FAILED ) return FAILED; + while (*trail) trail++; + + int decision = 1; + while (S->setTruth[decision]) decision++; + + *trail++ = decision; + *trail = 0; + S->setTruth[ decision] = 1; + S->setTruth[-decision] = -1; + + if (S->verb) printf("c branch on %i\n", decision); + if (setDLL (S, cnf, trail) == SUCCESS) return SUCCESS; + + while (*trail) trail++; + while (*trail != decision) { + S->setTruth[ *trail] = 0; + S->setTruth[-*trail] = 0; + trail--; } + + *trail++ = -decision; + *trail = 0; + S->setTruth[ decision] = -1; + S->setTruth[-decision] = 1; + + if (S->verb) printf("c branch on %i\n", -decision); + return setDLL (S, cnf, trail); } + +int setRedundancyCheck (struct solver *S, int *clause, int size, int uni) { + int i, j, blocked, nSPR = 0; + long int reason; + + int *trail = (int*) malloc (sizeof(int) * (size + 1)); + + if (S->verb) printf("c starting SPR check\n"); + + for (i = 1; i <= size; i++) { + trail [i - 1] = 0; + S->setMap[ clause[i - 1]] = i; + S->setMap[-clause[i - 1]] = -i; } + + // Loop over all literals to calculate resolution candidates + for (i = -S->maxVar; i <= S->maxVar; i++) { + if (i == 0) continue; + // Loop over all watched clauses for literal + for (j = 0; j < S->used[i]; j++) { + int* watchedClause = S->DB + (S->wlist[i][j] >> 1); + if (*watchedClause == i) { // If watched literal is in first position + int flag = 0; + blocked = 0; + reason = 0; + while (*watchedClause) { + int lit = *watchedClause++; + if (S->setMap[lit] < 0) flag = 1; + else if (!S->setMap[lit] && S->falseA[-lit]) { + if (blocked == 0 || reason > S->reason[ abs(lit) ]) + blocked = lit, reason = S->reason[ abs(lit) ]; } } + + if (blocked != 0 && reason != 0 && flag == 1) { + analyze (S, S->DB + reason, -1); S->reason[abs(blocked)] = 0; } + + // If resolution candidate, add to list + if (blocked == 0 && flag == 1) { + if (nSPR == S->maxRAT) { + S->maxRAT = (S->maxRAT * 3) >> 1; + S->RATset = realloc(S->RATset, sizeof(int) * S->maxRAT); } + S->RATset[nSPR++] = S->wlist[i][j] >> 1; } } } } + + // Check all candidates for RUP + int cnfSize = size + 2; // first clause + terminating zero + int filtered = 0; + for (i = 0; i < nSPR; i++) { + int inSet = 1; + int* candidate = S->DB + S->resolutionCandidates[i]; + if (S->verb) { + printf("c candidate: "); printLiterals (candidate); } + while (*candidate) { int lit = *candidate++; + if (S->setMap[lit]) inSet++; + if (!S->setMap[lit] && !S->falseA[lit]) { + ASSIGN(-lit); S->reason[abs(lit)] = 0; } } + if (propagate (S, 0) == SAT) { + if (S->verb) printf(" FAILED\n"); + cnfSize += inSet; + S->processed = S->forced; + while (S->forced < S->assigned) S->falseA[*(--S->assigned)] = 0; + S->resolutionCandidates[filtered++] = S->resolutionCandidates[i]; } + else { + if (S->verb) printf(" SUCCESS\n"); } } + + int *cnf = (int*) malloc (sizeof(int) * cnfSize); + int *tmp = cnf; + for (i = 1; i <= size; i++) *tmp++ = i; + *tmp++ = 0; + numCandidates = filtered; + for (i = 0; i < numCandidates; i++) { + int* candidate = S->DB + S->resolutionCandidates[i]; + while (*candidate) { + int lit = *candidate++; + if (S->setMap[lit]) *tmp++ = S->setMap[lit]; } + *tmp++ = 0; } + *tmp++ = 0; + + if (S->verb) { + tmp = cnf; + printf("c printing CNF:\n"); + while (*tmp) { + int *clause = tmp; + printf("c "); + while (*clause) printf("%i ", *clause++); + printf("\n"); + tmp = clause + 1; } } + + int res = setDLL (S, cnf, trail); + if (S->verb) { + if (res == SUCCESS) printf("c SUCCESS\n"); + if (res == FAILED ) printf("c FAILED\n"); } + + for (i = 1; i <= size; i++) { + S->setMap[ clause[i - 1]] = 0; + S->setMap[-clause[i - 1]] = 0; + S->setTruth[ i ] = 0; + S->setTruth[ -i ] = 0; } + + free(trail); + free( cnf ); + return res; } +*/ + +int redundancyCheck (struct solver *S, int *clause, int size, int mark) { + int i, indegree; + int falsePivot = S->falseA[clause[PIVOT]]; + if (S->verb) { printf ("\rc checking lemma (%i, %i) ", size, clause[PIVOT]); printClause (clause); } + + if (S->mode != FORWARD_UNSAT) { + if ((clause[ID] & ACTIVE) == 0) return SUCCESS; } // redundant? +// clause[PIVOT] ^= ACTIVE; } + + if (size < 0) { + S->DB[ S->reason[abs (*clause)] - 2] |= 1; + return SUCCESS; } + + indegree = S->nResolve; + + S->RATmode = 0; + S->nDependencies = 0; + for (i = 0; i < size; ++i) { + if (S->falseA[-clause[i]]) { // should only occur in forward mode + if (S->warning != NOWARNING) { + printf ("\rc WARNING: found a tautological clause in proof: "); printClause (clause); } + if (S->warning == HARDWARNING) exit (HARDWARNING); + while (S->forced < S->assigned) { + S->falseA[*(--S->assigned)] = 0; + S->reason[abs (*S->assigned)] = 0; } + return SUCCESS; } + S->falseA[clause[i]] = ASSUMED; + *(S->assigned++) = clause[i]; + S->reason[abs (clause[i])] = 0; } + + S->current = clause; + if (propagate (S, 0, mark) == UNSAT) { + indegree = S->nResolve - indegree; + if (indegree <= 2 && S->prep == 0) { + S->prep = 1; if (S->verb) printf ("\rc [%li] preprocessing checking mode on\n", S->time); } + if (indegree > 2 && S->prep == 1) { + S->prep = 0; if (S->verb) printf ("\rc [%li] preprocessing checking mode off\n", S->time); } + if (S->verb) printf ("\rc lemma has RUP\n"); + printDependencies (S, clause, 0); + return SUCCESS; } + + // Failed RUP check. Now test RAT. + // printf ("RUP check failed. Starting RAT check.\n"); + int reslit = clause[PIVOT]; + if (S->verb) + printf ("\rc RUP checked failed; starting RAT check on pivot %d.\n", reslit); + + if (falsePivot) return FAILED; + + int* savedForced = S->forced; + + S->RATmode = 1; + S->forced = S->assigned; + + int failed = 0; + if (checkRAT (S, reslit, mark) == FAILED) { + failed = 1; + if (S->warning != NOWARNING) { + printf ("\rc WARNING: RAT check on proof pivot failed : "); printClause (clause); } + if (S->warning == HARDWARNING) exit (HARDWARNING); + for (i = 0; i < size; i++) { + if (clause[i] == reslit) continue; + if (checkRAT (S, clause[i], mark) == SUCCESS) { + clause[PIVOT] = clause[i]; + failed = 0; break; } } } + + if (failed == 0) + printDependencies (S, clause, 1); + + S->processed = S->forced = savedForced; + while (S->forced < S->assigned) { + S->falseA[*(--S->assigned)] = 0; + S->reason[abs (*S->assigned)] = 0; } + + if (failed) { + printf ("c RAT check failed on all possible pivots\n"); + return FAILED; } + + + if (mark) S->RATcount++; + if (S->verb) printf ("\rc lemma has RAT on %i\n", clause[PIVOT]); + return SUCCESS; } + +int init (struct solver *S) { + S->forced = S->falseStack; // Points inside *falseStack at first decision (unforced literal) + S->processed = S->falseStack; // Points inside *falseStack at first unprocessed literal + S->assigned = S->falseStack; // Points inside *falseStack at last unprocessed literal + + // initialize watch pointers on the original clauses + S->RATmode = 0; + S->nRemoved = 0; + S->nOpt = 0; + S->nResolve = 0; + S->RATcount = 0; + S->nActive = 0; + S->COREcount = 0; + S->unitSize = 0; + + int i; + for (i = 1; i <= S->maxVar; ++i) { + S->reason [i] = 0; + S->falseStack[i] = 0; + S->falseA[i] = S->falseA[-i] = 0; + S->used [i] = S->used [-i] = 0; + S->wlist [i][0] = S->wlist [-i][0] = END; } + + for (i = 0; i < S->nClauses; i++) { + int *clause = S->DB + (S->formula[i] >> INFOBITS); + if (clause[ID] & ACTIVE) clause[ID] ^= ACTIVE; + if (clause[0] == 0) { + printf ("\rc formula contains empty clause\n"); + if (S->coreStr) { + FILE *coreFile = fopen (S->coreStr, "w"); + fprintf (coreFile, "p cnf 0 1\n 0\n"); + fclose (coreFile); } + if (S->lemmaStr) { + FILE *lemmaFile = fopen (S->lemmaStr, "w"); + fprintf (lemmaFile, "0\n"); + fclose (lemmaFile); } + return UNSAT; } + if (clause[1]) { addWatch (S, clause, 0); addWatch (S, clause, 1); } + else if (S->falseA[clause[0]]) { + printf ("\rc found complementary unit clauses\n"); + if (S->coreStr) { + FILE *coreFile = fopen (S->coreStr, "w"); + fprintf (coreFile, "p cnf %i 2\n%i 0\n%i 0\n", abs (clause[0]), clause[0], -clause[0]); + fclose (coreFile); } + if (S->lemmaStr) { + FILE *lemmaFile = fopen (S->lemmaStr, "w"); + fprintf (lemmaFile, "0\n"); + fclose (lemmaFile); } + if (S->lratFile) { + int j; + for (j = 0; j < i; j++) { + int *_clause = S->DB + (S->formula[j] >> INFOBITS); + if ((_clause[0] == -clause[0]) && !_clause[1]) break; } + fprintf (S->lratFile, "%li 0 %i %i 0\n", S->nClauses + 1, j + 1, i + 1); } + return UNSAT; } + else if (!S->falseA[ -clause[0] ]) { + addUnit (S, (long) (clause - S->DB)); + assign (S, clause[0]); } } + + S->nDependencies = 0; + S->time = S->count; // Alternative time init + if (propagateUnits (S, 1) == UNSAT) { + printf ("\rc UNSAT via unit propagation on the input instance\n"); + printDependencies (S, NULL, 0); + postprocess (S); return UNSAT; } + return SAT; } + +int verify (struct solver *S, int begin, int end) { + int top_flag = 1; + if (init (S) == UNSAT) return UNSAT; + + if (S->mode == FORWARD_UNSAT) { + if (begin == end) + printf ("\rc start forward verification\n"); } + + int step; + int adds = 0; + int active = S->nClauses; + for (step = 0; step < S->nStep; step++) { + if (step >= begin && step < end) continue; + long ad = S->proof[step]; long d = ad & 1; + int *lemmas = S->DB + (ad >> INFOBITS); + + S->time = lemmas[ID]; + if (d) { active--; } + else { active++; adds++; } + if (S->mode == FORWARD_SAT && S->verb) printf ("\rc %i active clauses\n", active); + + if (!lemmas[1]) { // found a unit + int lit = lemmas[0]; + if (S->verb) + printf ("\rc found unit in proof %i [%li]\n", lit, S->time); + if (d) { + if (S->mode == FORWARD_SAT) { + removeUnit (S, lit); propagateUnits (S, 0); } + else { // no need to remove units while checking UNSAT + if (S->verb) { printf("c removing proof step: d "); printClause(lemmas); } + S->proof[step] = 0; continue; } } + else { + if (S->mode == BACKWARD_UNSAT && S->falseA[-lit]) { S->proof[step] = 0; continue; } + else { addUnit (S, (long) (lemmas - S->DB)); } } } + + if (d && lemmas[1]) { // if delete and not unit + if ((S->reason[abs (lemmas[0])] - 1) == (lemmas - S->DB)) { // what is this check? + if (S->mode != FORWARD_SAT) { // ignore pseudo unit clause deletion + if (S->verb) { printf ("c ignoring deletion intruction %li: ", (lemmas - S->DB)); printClause (lemmas); } +// if (S->mode == BACKWARD_UNSAT) { // ignore pseudo unit clause deletion + S->proof[step] = 0; } + else { // if (S->mode == FORWARD_SAT) { // also for FORWARD_UNSAT? + removeWatch (S, lemmas, 0), removeWatch (S, lemmas, 1); + propagateUnits (S, 0); } } + else { + removeWatch (S, lemmas, 0), removeWatch (S, lemmas, 1); } + if (S->mode == FORWARD_UNSAT ) continue; // Ignore deletion of top-level units + if (S->mode == BACKWARD_UNSAT) continue; } + + int size = sortSize (S, lemmas); // after removal of watches + + if (d && S->mode == FORWARD_SAT) { + if (size == -1) propagateUnits (S, 0); // necessary? + if (redundancyCheck (S, lemmas, size, 1) == FAILED) { + printf ("c failed at proof line %i (modulo deletion errors)\n", step + 1); + return SAT; } + continue; } + + if (d == 0 && S->mode == FORWARD_UNSAT) { + if (step > end) { + if (size < 0) continue; // Fix of bus error: 10 + if (redundancyCheck (S, lemmas, size, 1) == FAILED) { + printf ("c failed at proof line %i (modulo deletion errors)\n", step + 1); + return SAT; } + + size = sortSize (S, lemmas); + S->nDependencies = 0; } } + + if (lemmas[1]) + addWatch (S, lemmas, 0), addWatch (S, lemmas, 1); + + if (size == 0) { printf ("\rc conflict claimed, but not detected\n"); return SAT; } // change to FAILED? + if (size == 1) { + if (S->verb) printf ("\rc found unit %i\n", lemmas[0]); + assign (S, lemmas[0]); S->reason[abs (lemmas[0])] = ((long) ((lemmas)-S->DB)) + 1; + if (propagate (S, 1, 1) == UNSAT) goto start_verification; + S->forced = S->processed; } } + + if (S->mode == FORWARD_SAT && active == 0) { + postprocess (S); return UNSAT; } + + if (S->mode == FORWARD_UNSAT) { + if (begin == end) { + postprocess (S); + printf ("\rc ERROR: all lemmas verified, but no conflict\n"); } + return SAT; } + + if (S->mode == BACKWARD_UNSAT) { + if (S->backforce) { + int s; + for (s = 0; s < step; s++) { + long ad = S->proof[s]; + int *clause = S->DB + (ad >> INFOBITS); + if (sortSize(S, clause) >= 0) { + if ( (ad & 1) && (clause[ID] & 1)) clause[ID] ^= ACTIVE; + if (!(ad & 1)) clause[ID] |= ACTIVE; } } } + if (!S->backforce) { + printf ("\rc ERROR: no conflict\n"); + return SAT; } } + + start_verification:; + if (S->mode == FORWARD_UNSAT) { + printDependencies (S, NULL, 0); + postprocess (S); return UNSAT; } + + if (!S->backforce) + printDependencies (S, NULL, 0); + + if (S->mode == FORWARD_SAT) { + printf ("\rc ERROR: found empty clause during SAT check\n"); exit (0); } + printf ("\rc detected empty clause; start verification via backward checking\n"); + + S->forced = S->processed; + assert (S->mode == BACKWARD_UNSAT); // only reachable in BACKWARD_UNSAT mode + + S->nOpt = 0; + + int checked = 0, skipped = 0; + + double max = (double) adds; + + struct timeval backward_time; + gettimeofday (&backward_time, NULL); + for (; step >= 0; step--) { + struct timeval current_time; + gettimeofday (¤t_time, NULL); + int seconds = (int) (current_time.tv_sec - S->start_time.tv_sec); + if ((seconds > S->timeout) && (S->optimize == 0)) printf ("s TIMEOUT\n"), exit (0); + + if (S->bar) + if ((adds % 1000) == 0) { + int f; + long runtime = (current_time.tv_sec - backward_time.tv_sec ) * 1000000 + + (current_time.tv_usec - backward_time.tv_usec); + double time = (double) (runtime / 1000000.0); + double fraction = (adds * 1.0) / max; + printf("\rc %.2f%% [", 100.0 * (1.0 - fraction)); + for (f = 1; f <= 20; f++) { + if ((1.0 - fraction) * 20.0 < 1.0 * f) printf(" "); + else printf("="); } + printf("] time remaining: %.2f seconds ", time / (1.0 - fraction) - time); + if (step == 0) printf("\n"); + fflush (stdout); } + + long ad = S->proof[step]; long d = ad & 1; + int *clause = S->DB + (ad >> INFOBITS); + + + if (ad == 0) continue; // Skip lemma that has been removed from proof + if ( d == 0) { + adds--; + if (clause[1]) { + removeWatch (S, clause, 0), removeWatch (S, clause, 1); + if (S->reason[abs (clause[0])] == (clause + 1 - S->DB)) { // use this check also for units? + unassignUnit (S, clause[0]); } } + else unassignUnit (S, clause[0]); } + + int size = sortSize (S, clause); + + if (d) { + if (S->verb) { printf ("\rc adding clause (%i) ", size); printClause (clause); } + addWatch (S, clause, 0), addWatch (S, clause, 1); continue; } + + S->time = clause[ID]; + if ((S->time & ACTIVE) == 0) { + skipped++; +// if ((skipped % 100) == 0) printf("c skipped %i, checked %i\n", skipped, checked); + continue; } // If not marked, continue + + assert (size >= 1); + int *_clause = clause + size; + while (*_clause++) { S->nRemoved++; } + clause[size] = 0; + + if (S->verb) { + printf ("\rc validating clause (%i, %i): ", clause[PIVOT], size); printClause (clause); } +/* + int i; + if (size > 1 && (top_flag == 1)) { + int last = clause[size - 1]; + int pivot = clause[PIVOT]; + for (i = 0; i < size; i++) { + int tmp = clause[i]; + clause[i] = last; + clause[size - 1] = 0; + if (tmp == pivot) clause[PIVOT] = clause[0]; + if (redundancyCheck (S, clause, size - 1, 0) != FAILED) { + top_flag = 0; + size = size - 1; break; } + else { + clause[i] = tmp; + clause[size - 1] = last; } + clause[PIVOT] = pivot; } } +*/ + if (redundancyCheck (S, clause, size, 1) == FAILED) { + printf ("c failed at proof line %i (modulo deletion errors)\n", step + 1); + return SAT; } + checked++; + S->optproof[S->nOpt++] = ad; } + + postprocess (S); + return UNSAT; } + +long matchClause (struct solver* S, long *clauselist, int listsize, int* input, int size) { + int i, j; + for (i = 0; i < listsize; ++i) { + int *clause = S->DB + clauselist[i]; + for (j = 0; j <= size; j++) + if (clause[j] != input[j]) goto match_next; + + long result = clauselist[i]; + clauselist[i] = clauselist[--listsize]; + return result; + match_next:; } + return 0; } + +unsigned int getHash (int* input) { + unsigned int sum = 0, prod = 1, xor = 0; + while (*input) { + prod *= *input; sum += *input; xor ^= *input; input++; } + return (1023 * sum + prod ^ (31 * xor)) % BIGINIT; } + +int read_lit (struct solver *S, int *lit) { + int l = 0, lc, shift = 0; + do { + lc = getc_unlocked (S->proofFile); + S->nReads++; + if ((shift == 0) && (lc == EOF)) return EOF; + l |= (lc & 127) << shift; + shift += 7; } + while (lc > 127); + if (l % 2) *lit = (l >> 1) * -1; + else *lit = (l >> 1); + return 1; } + +void deactivate (struct solver *S) { + S->nActive = 0; + int step; + for (step = 0; step < S->nStep; step++) { + if ((S->proof[step] & 1) == 0) { + int *clause = S->DB + (S->proof[step] >> INFOBITS); + if (clause[ID] & ACTIVE) clause[ID] ^= ACTIVE; } } +} + +void shuffleProof (struct solver *S, int iteration) { + int i, step, _step; + + double base = 100; + for (i = 1; i < iteration; i++) + base *= 1.1; + + // randomly remove clause deletion steps + for (_step = 0, step = 0; step < S->nStep; step++) { + if (S->proof[step] & 1) { + int length = 0; + int *clause = S->DB + (S->proof[step] >> INFOBITS); + while (*clause) { length++; clause++; } + if ((rand() % 1000) < (base * iteration / length)) continue; } + S->proof[_step++] = S->proof[step]; } + S->nStep = _step; + + for (step = S->nStep - 1; step > 0; step--) { + long a = S->proof[step ]; + if (a & DBIT) continue; + long b = S->proof[step-1]; + if (b & DBIT) { + S->proof[step ] = b; + S->proof[step-1] = a; } + else { + int *c = S->DB + (a >> INFOBITS); + int *d = S->DB + (b >> INFOBITS); + int coinflip = 0; +// int coinflip = rand () / (RAND_MAX >> 1); + if (c[MAXDEP] < d[MAXDEP] || (coinflip && (c[MAXDEP] < d[ID]))) { + int tmp = d[ID]; + d[ID] = c[ID]; + c[ID] = tmp; + S->proof[step ] = b; + S->proof[step-1] = a; } } } + + for (step = 0; step < S->nStep; step++) { + long ad = S->proof[step]; + if (ad & 1) continue; + int *clause = S->DB + (ad >> INFOBITS); + int i, length = 0; + while (*clause) { length++; clause++; } + clause = S->DB + (ad >> INFOBITS); + for (i = 0; i < length - 1; i++) { + int j = i + rand() / (RAND_MAX / (length - i) + 1); + int t = clause[i]; clause[i] = clause[j]; clause[j] = t; } } } + +int parse (struct solver* S) { + int tmp, active = 0, retvalue = SAT; + int del = 0, fileLine = 0; + int *buffer, bufferAlloc; + + S->nVars = 0; + S->nClauses = 0; + do { tmp = fscanf (S->inputFile, " cnf %i %li \n", &S->nVars, &S->nClauses); // Read the first line + if (tmp > 0 && tmp != EOF) break; tmp = fscanf (S->inputFile, "%*s\n"); } // In case a commment line was found + while (tmp != 2 && tmp != EOF); // Skip it and read next line + int nZeros = S->nClauses; + + if (!S->nVars && !S->nClauses) { + printf ("\rc ERROR: did not find p cnf line in input file\n"); exit (0); } + + printf ("\rc parsing input formula with %i variables and %li clauses\n", S->nVars, S->nClauses); + + bufferAlloc = INIT; + buffer = (int*) malloc (sizeof (int) * bufferAlloc); + + S->count = 1; + S->nStep = 0; + S->mem_used = 0; // The number of integers allocated in the DB + + long size; + long DBsize = S->mem_used + BIGINIT; + S->DB = (int*) malloc (DBsize * sizeof (int)); + if (S->DB == NULL) { free (buffer); return ERROR; } + + S->maxVar = 0; + S->maxSize = 0; + S->nLemmas = 0; + S->nAlloc = BIGINIT; + S->formula = (long *) malloc (sizeof (long) * S->nClauses); + S->proof = (long *) malloc (sizeof (long) * S->nAlloc); + long **hashTable = (long**) malloc (sizeof (long*) * BIGINIT); + int *hashUsed = (int * ) malloc (sizeof (int ) * BIGINIT); + int *hashMax = (int * ) malloc (sizeof (int ) * BIGINIT); + + int i; + for (i = 0; i < BIGINIT; i++) { + hashUsed [i] = 0; + hashMax [i] = INIT; + hashTable[i] = (long*) malloc (sizeof (long) * hashMax[i]); } + + int fileSwitchFlag = 0; + size = 0; + while (1) { + int lit = 0; tmp = 0; + fileSwitchFlag = nZeros <= 0; + + if (size == 0) { + if (fileSwitchFlag) { // read for proof + if (S->binMode) { + int res = getc_unlocked (S->proofFile); + if (res == EOF) break; + else if (res == 97) del = 0; + else if (res == 100) del = 1; + else { + if (S->warning != NOWARNING) { + printf ("\rc WARNING: wrong binary prefix, stop reading proof\n"); break; } + if (S->warning == HARDWARNING) exit (HARDWARNING); } + S->nReads++; } + else { + tmp = fscanf (S->proofFile, " d %i ", &lit); + if (tmp == EOF) break; + del = tmp > 0; } } } + + if (!lit) { + if (!fileSwitchFlag) tmp = fscanf (S->inputFile, " %i ", &lit); // Read a literal. + else { + if (S->binMode) { + tmp = read_lit (S, &lit); } + else { + tmp = fscanf (S->proofFile, " %i ", &lit); } } + if (tmp == EOF && !fileSwitchFlag) { + if (S->warning != NOWARNING) { + printf ("\rc WARNING: early EOF of the input formula\n"); + printf ("\rc WARNING: %i clauses less than expected\n", nZeros); } + if (S->warning == HARDWARNING) exit (HARDWARNING); + fileLine = 0; + fileSwitchFlag = 1; } } + + if (tmp == 0) { + char ignore[1024]; + if (!fileSwitchFlag) { if (fgets (ignore, sizeof (ignore), S->inputFile) == NULL) printf ("c\n"); } + else if (fgets (ignore, sizeof (ignore), S->proofFile) == NULL) printf ("c\n"); + for (i = 0; i < 1024; i++) { if (ignore[i] == '\n') break; } + if (i == 1024) { + printf ("c ERROR: comment longer than 1024 characters: %s\n", ignore); + exit (HARDWARNING); } + if (S->verb) printf ("\rc WARNING: parsing mismatch assuming a comment\n"); + continue; } + + if (abs (lit) > S->maxVar) S->maxVar = abs (lit); + if (tmp == EOF && fileSwitchFlag) break; + if (abs (lit) > S->nVars && !fileSwitchFlag) { + printf ("\rc illegal literal %i due to max var %i\n", lit, S->nVars); exit (0); } + if (!lit) { + fileLine++; + if (size > S->maxSize) S->maxSize = size; + int pivot = buffer[0]; + buffer[size] = 0; + qsort (buffer, size, sizeof (int), compare); + int j = 0; + for (i = 0; i < size; ++i) { + if (buffer[i] == buffer[i+1]) { + if (S->warning != NOWARNING) { + printf ("\rc WARNING: detected and deleted duplicate literal %i at position %i of line %i\n", buffer[i+1], i+1, fileLine); } + if (S->warning == HARDWARNING) exit (HARDWARNING); } + else { buffer[j++] = buffer[i]; } } + buffer[j] = 0; size = j; + + if (size == 0 && !fileSwitchFlag) retvalue = UNSAT; + if (del && S->mode == BACKWARD_UNSAT && size <= 1) { + if (S->warning != NOWARNING) { + printf ("\rc WARNING: backward mode ignores deletion of (pseudo) unit clause "); + printClause (buffer); } + if (S->warning == HARDWARNING) exit (HARDWARNING); + del = 0; size = 0; continue; } + int rem = buffer[0]; + buffer[size] = 0; + unsigned int hash = getHash (buffer); + if (del) { + if (S->delete) { + long match = 0; + match = matchClause (S, hashTable[hash], hashUsed[hash], buffer, size); + if (match == 0) { + if (S->warning != NOWARNING) { + printf ("\rc WARNING: deleted clause on line %i does not occur: ", fileLine); printClause (buffer); } + if (S->warning == HARDWARNING) exit (HARDWARNING); + goto end_delete; } + if (S->mode == FORWARD_SAT) S->DB[ match - 2 ] = rem; + hashUsed[hash]--; + active--; + if (S->nStep == S->nAlloc) { S->nAlloc = (S->nAlloc * 3) >> 1; + S->proof = (long*) realloc (S->proof, sizeof (long) * S->nAlloc); +// printf ("c proof allocation increased to %li\n", S->nAlloc); + if (S->proof == NULL) { printf("c MEMOUT: reallocation of proof list failed\n"); exit (0); } } + S->proof[S->nStep++] = (match << INFOBITS) + 1; } + end_delete:; + if (del) { del = 0; size = 0; continue; } } + + if (S->mem_used + size + EXTRA > DBsize) { DBsize = (DBsize * 3) >> 1; + S->DB = (int *) realloc (S->DB, DBsize * sizeof (int)); +// printf("c database increased to %li\n", DBsize); + if (S->DB == NULL) { printf("c MEMOUT: reallocation of clause database failed\n"); exit (0); } } + int *clause = &S->DB[S->mem_used + EXTRA - 1]; + if (size != 0) clause[PIVOT] = pivot; + clause[ID] = 2 * S->count; S->count++; + if (S->mode == FORWARD_SAT) if (nZeros > 0) clause[ID] |= ACTIVE; + + for (i = 0; i < size; ++i) { clause[ i ] = buffer[ i ]; } clause[ i ] = 0; + S->mem_used += size + EXTRA; + + hash = getHash (clause); + if (hashUsed[hash] == hashMax[hash]) { hashMax[hash] = (hashMax[hash] * 3) >> 1; + hashTable[hash] = (long *) realloc (hashTable[hash], sizeof (long*) * hashMax[hash]); + if (hashTable[hash] == NULL) { printf("c MEMOUT reallocation of hash table %i failed\n", hash); exit (0); } } + hashTable[ hash ][ hashUsed[hash]++ ] = (long) (clause - S->DB); + + active++; + if (nZeros > 0) { // if still parsing the formula + S->formula[S->nClauses - nZeros] = (((long) (clause - S->DB)) << INFOBITS); } + else { + if (S->nStep == S->nAlloc) { S->nAlloc = (S->nAlloc * 3) >> 1; + S->proof = (long*) realloc (S->proof, sizeof (long) * S->nAlloc); +// printf ("c proof allocation increased to %li\n", S->nAlloc); + if (S->proof == NULL) { printf("c MEMOUT: reallocation of proof list failed\n"); exit (0); } } + S->proof[S->nStep++] = (((long) (clause - S->DB)) << INFOBITS); } + + if (nZeros <= 0) S->nLemmas++; + + if (!nZeros) S->lemmas = (long) (clause - S->DB); // S->lemmas is no longer pointer + size = 0; del = 0; --nZeros; } // Reset buffer + else { + buffer[size++] = lit; // Add literal to buffer + if (size == bufferAlloc) { bufferAlloc = (bufferAlloc * 3) >> 1; + buffer = (int*) realloc (buffer, sizeof (int) * bufferAlloc); } } } + + if (S->mode == FORWARD_SAT && active) { + if (S->warning != NOWARNING) + printf ("\rc WARNING: %i clauses active if proof succeeds\n", active); + if (S->warning == HARDWARNING) exit (HARDWARNING); + for (i = 0; i < BIGINIT; i++) { + int j; + for (j = 0; j < hashUsed[i]; j++) { + printf ("\rc "); + int *clause = S->DB + hashTable [i][j]; + printClause (clause); + if (S->nStep == S->nAlloc) { S->nAlloc = (S->nAlloc * 3) >> 1; + S->proof = (long*) realloc (S->proof, sizeof (long) * S->nAlloc); +// printf ("c proof allocation increased to %li\n", S->nAlloc); + if (S->proof == NULL) { printf("c MEMOUT: reallocation of proof list failed\n"); exit (0); } } + S->proof[S->nStep++] = (((int) (clause - S->DB)) << INFOBITS) + 1; } } } + + S->DB = (int *) realloc (S->DB, S->mem_used * sizeof (int)); + + for (i = 0; i < BIGINIT; i++) free (hashTable[i]); + free (hashTable); + free (hashUsed); + free (hashMax); + free (buffer); + + printf ("\rc finished parsing"); + if (S->nReads) printf (", read %li bytes from proof file", S->nReads); + printf ("\n"); + + int n = S->maxVar; + S->falseStack = (int *) malloc (( n + 1) * sizeof (int )); // Stack of falsified literals -- this pointer is never changed + S->reason = (long *) malloc (( n + 1) * sizeof (long)); // Array of clauses + S->used = (int *) malloc ((2 * n + 1) * sizeof (int )); S->used += n; // Labels for variables, non-zero means false + S->max = (int *) malloc ((2 * n + 1) * sizeof (int )); S->max += n; // Labels for variables, non-zero means false + S->falseA = (int *) malloc ((2 * n + 1) * sizeof (int )); S->falseA += n; // Labels for variables, non-zero means false + S->setMap = (int *) malloc ((2 * n + 1) * sizeof (int )); S->setMap += n; // Labels for variables, non-zero means false + S->setTruth = (int *) malloc ((2 * n + 1) * sizeof (int )); S->setTruth += n; // Labels for variables, non-zero means false + + S->optproof = (long *) malloc (sizeof(long) * (2 * S->nLemmas + S->nClauses)); + + S->maxRAT = INIT; + S->RATset = (int*) malloc (sizeof (int) * S->maxRAT); + for (i = 0; i < S->maxRAT; i++) S->RATset[i] = 0; // is this required? + + S->preRAT = (int*) malloc (sizeof (int) * n); + + S->lratAlloc = INIT; + S->lratSize = 0; + S->lratTable = (int *) malloc (sizeof(int ) * S->lratAlloc); + S->lratLookup = (long *) malloc (sizeof(long) * (S->count + 1)); + + S->maxDependencies = INIT; + S->dependencies = (int*) malloc (sizeof (int) * S->maxDependencies); + for (i = 0; i < S->maxDependencies; i++) S->dependencies[i] = 0; // is this required? + + S->wlist = (long**) malloc (sizeof (long*) * (2*n+1)); S->wlist += n; + + for (i = 1; i <= n; ++i) { S->max [ i] = S->max [-i] = INIT; + S->setMap [ i] = S->setMap [-i] = 0; + S->setTruth[ i] = S->setTruth[-i] = 0; + S->wlist [ i] = (long*) malloc (sizeof (long) * S->max[ i]); + S->wlist [-i] = (long*) malloc (sizeof (long) * S->max[-i]); } + + S->unitStack = (long *) malloc (sizeof (long) * n); + + return retvalue; } + +void freeMemory (struct solver *S) { + int i; +// printf("c database size %li; ", S->mem_used); +// int sum = 0; +// for (i = 1; i <= S->maxVar; i++) +// sum += S->max[i] + S->max[-i]; +// printf(" watch pointers size %i.\n", sum); + + free (S->DB); + free (S->falseStack); + free (S->reason); + free (S->proof); + free (S->formula); + for (i = 1; i <= S->maxVar; ++i) { free (S->wlist[i]); free (S->wlist[-i]); } + free (S->used - S->maxVar); + free (S->max - S->maxVar); + free (S->falseA - S->maxVar); + free (S->wlist - S->maxVar); + free (S->RATset); + free (S->dependencies); + return; } + +int onlyDelete (struct solver* S, int begin, int end) { + int step; + for (step = begin; step < end; step++) + if ((S->proof[step] & 1) == 0) return 0; + return 1; } + +void printHelp ( ) { + printf ("usage: drat-trim [INPUT] [] [