728 lines
22 KiB
C++
728 lines
22 KiB
C++
#define __STDC_FORMAT_MACROS
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#define __STDC_LIMIT_MACROS
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/***********************************************************************************[SimpSolver.cc]
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Copyright (c) 2006, Niklas Een, Niklas Sorensson
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Copyright (c) 2007-2010, Niklas Sorensson
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Permission is hereby granted, free of charge, to any person obtaining a copy of this software and
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associated documentation files (the "Software"), to deal in the Software without restriction,
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including without limitation the rights to use, copy, modify, merge, publish, distribute,
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sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all copies or
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substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT
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NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
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DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT
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OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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**************************************************************************************************/
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#include "Sort.h"
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#include "SimpSolver.h"
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#include "System.h"
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using namespace Minisat;
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//=================================================================================================
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// Options:
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static const char* _cat = "SIMP";
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static BoolOption opt_use_asymm (_cat, "asymm", "Shrink clauses by asymmetric branching.", false);
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static BoolOption opt_use_rcheck (_cat, "rcheck", "Check if a clause is already implied. (costly)", false);
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static BoolOption opt_use_elim (_cat, "elim", "Perform variable elimination.", true);
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static IntOption opt_grow (_cat, "grow", "Allow a variable elimination step to grow by a number of clauses.", 0);
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static IntOption opt_clause_lim (_cat, "cl-lim", "Variables are not eliminated if it produces a resolvent with a length above this limit. -1 means no limit", 20, IntRange(-1, INT32_MAX));
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static IntOption opt_subsumption_lim (_cat, "sub-lim", "Do not check if subsumption against a clause larger than this. -1 means no limit.", 1000, IntRange(-1, INT32_MAX));
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static DoubleOption opt_simp_garbage_frac(_cat, "simp-gc-frac", "The fraction of wasted memory allowed before a garbage collection is triggered during simplification.", 0.5, DoubleRange(0, false, HUGE_VAL, false));
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//=================================================================================================
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// Constructor/Destructor:
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SimpSolver::SimpSolver() :
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grow (opt_grow)
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, clause_lim (opt_clause_lim)
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, subsumption_lim (opt_subsumption_lim)
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, simp_garbage_frac (opt_simp_garbage_frac)
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, use_asymm (opt_use_asymm)
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, use_rcheck (opt_use_rcheck)
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, use_elim (opt_use_elim)
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, extend_model (true)
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, merges (0)
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, asymm_lits (0)
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, eliminated_vars (0)
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, elimorder (1)
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, use_simplification (true)
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, occurs (ClauseDeleted(ca))
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, elim_heap (ElimLt(n_occ))
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, bwdsub_assigns (0)
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, n_touched (0)
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{
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vec<Lit> dummy(1,lit_Undef);
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ca.extra_clause_field = true; // NOTE: must happen before allocating the dummy clause below.
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bwdsub_tmpunit = ca.alloc(dummy);
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remove_satisfied = false;
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}
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SimpSolver::~SimpSolver()
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{
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}
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Var SimpSolver::newVar(lbool upol, bool dvar) {
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Var v = Solver::newVar(upol, dvar);
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frozen .insert(v, (char)false);
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eliminated.insert(v, (char)false);
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if (use_simplification){
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n_occ .insert( mkLit(v), 0);
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n_occ .insert(~mkLit(v), 0);
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occurs .init (v);
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touched .insert(v, 0);
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elim_heap .insert(v);
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}
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return v; }
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void SimpSolver::releaseVar(Lit l)
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{
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assert(!isEliminated(var(l)));
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if (!use_simplification && var(l) >= max_simp_var)
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// Note: Guarantees that no references to this variable is
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// left in model extension datastructure. Could be improved!
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Solver::releaseVar(l);
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else
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// Otherwise, don't allow variable to be reused.
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Solver::addClause(l);
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}
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lbool SimpSolver::solve_(bool do_simp, bool turn_off_simp)
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{
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vec<Var> extra_frozen;
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lbool result = l_True;
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do_simp &= use_simplification;
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if (do_simp){
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// Assumptions must be temporarily frozen to run variable elimination:
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for (int i = 0; i < assumptions.size(); i++){
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Var v = var(assumptions[i]);
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// If an assumption has been eliminated, remember it.
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assert(!isEliminated(v));
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if (!frozen[v]){
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// Freeze and store.
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setFrozen(v, true);
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extra_frozen.push(v);
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} }
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result = lbool(eliminate(turn_off_simp));
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}
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if (result == l_True)
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result = Solver::solve_();
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else if (verbosity >= 1)
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printf("===============================================================================\n");
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if (result == l_True && extend_model)
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extendModel();
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if (do_simp)
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// Unfreeze the assumptions that were frozen:
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for (int i = 0; i < extra_frozen.size(); i++)
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setFrozen(extra_frozen[i], false);
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return result;
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}
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bool SimpSolver::addClause_(vec<Lit>& ps)
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{
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#ifndef NDEBUG
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for (int i = 0; i < ps.size(); i++)
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assert(!isEliminated(var(ps[i])));
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#endif
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int nclauses = clauses.size();
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if (use_rcheck && implied(ps))
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return true;
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if (!Solver::addClause_(ps))
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return false;
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if (use_simplification && clauses.size() == nclauses + 1){
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CRef cr = clauses.last();
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const Clause& c = ca[cr];
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// NOTE: the clause is added to the queue immediately and then
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// again during 'gatherTouchedClauses()'. If nothing happens
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// in between, it will only be checked once. Otherwise, it may
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// be checked twice unnecessarily. This is an unfortunate
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// consequence of how backward subsumption is used to mimic
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// forward subsumption.
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subsumption_queue.insert(cr);
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for (int i = 0; i < c.size(); i++){
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occurs[var(c[i])].push(cr);
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n_occ[c[i]]++;
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touched[var(c[i])] = 1;
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n_touched++;
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if (elim_heap.inHeap(var(c[i])))
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elim_heap.increase(var(c[i]));
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}
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}
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return true;
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}
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void SimpSolver::removeClause(CRef cr)
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{
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const Clause& c = ca[cr];
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if (use_simplification)
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for (int i = 0; i < c.size(); i++){
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n_occ[c[i]]--;
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updateElimHeap(var(c[i]));
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occurs.smudge(var(c[i]));
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}
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Solver::removeClause(cr);
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}
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bool SimpSolver::strengthenClause(CRef cr, Lit l)
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{
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Clause& c = ca[cr];
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assert(decisionLevel() == 0);
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assert(use_simplification);
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// FIX: this is too inefficient but would be nice to have (properly implemented)
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// if (!find(subsumption_queue, &c))
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subsumption_queue.insert(cr);
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if (c.size() == 2){
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removeClause(cr);
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c.strengthen(l);
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}else{
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detachClause(cr, true);
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c.strengthen(l);
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attachClause(cr);
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remove(occurs[var(l)], cr);
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n_occ[l]--;
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updateElimHeap(var(l));
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}
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return c.size() == 1 ? enqueue(c[0]) && propagate() == CRef_Undef : true;
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}
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// Returns FALSE if clause is always satisfied ('out_clause' should not be used).
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bool SimpSolver::merge(const Clause& _ps, const Clause& _qs, Var v, vec<Lit>& out_clause)
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{
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merges++;
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out_clause.clear();
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bool ps_smallest = _ps.size() < _qs.size();
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const Clause& ps = ps_smallest ? _qs : _ps;
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const Clause& qs = ps_smallest ? _ps : _qs;
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for (int i = 0; i < qs.size(); i++){
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if (var(qs[i]) != v){
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for (int j = 0; j < ps.size(); j++)
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if (var(ps[j]) == var(qs[i])){
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if (ps[j] == ~qs[i])
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return false;
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else
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goto next;
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}
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out_clause.push(qs[i]);
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}
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next:;
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}
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for (int i = 0; i < ps.size(); i++)
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if (var(ps[i]) != v)
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out_clause.push(ps[i]);
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return true;
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}
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// Returns FALSE if clause is always satisfied.
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bool SimpSolver::merge(const Clause& _ps, const Clause& _qs, Var v, int& size)
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{
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merges++;
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bool ps_smallest = _ps.size() < _qs.size();
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const Clause& ps = ps_smallest ? _qs : _ps;
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const Clause& qs = ps_smallest ? _ps : _qs;
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const Lit* __ps = (const Lit*)ps;
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const Lit* __qs = (const Lit*)qs;
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size = ps.size()-1;
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for (int i = 0; i < qs.size(); i++){
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if (var(__qs[i]) != v){
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for (int j = 0; j < ps.size(); j++)
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if (var(__ps[j]) == var(__qs[i])){
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if (__ps[j] == ~__qs[i])
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return false;
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else
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goto next;
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}
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size++;
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}
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next:;
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}
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return true;
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}
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void SimpSolver::gatherTouchedClauses()
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{
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if (n_touched == 0) return;
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int i,j;
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for (i = j = 0; i < subsumption_queue.size(); i++)
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if (ca[subsumption_queue[i]].mark() == 0)
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ca[subsumption_queue[i]].mark(2);
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for (i = 0; i < nVars(); i++)
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if (touched[i]){
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const vec<CRef>& cs = occurs.lookup(i);
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for (j = 0; j < cs.size(); j++)
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if (ca[cs[j]].mark() == 0){
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subsumption_queue.insert(cs[j]);
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ca[cs[j]].mark(2);
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}
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touched[i] = 0;
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}
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for (i = 0; i < subsumption_queue.size(); i++)
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if (ca[subsumption_queue[i]].mark() == 2)
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ca[subsumption_queue[i]].mark(0);
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n_touched = 0;
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}
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bool SimpSolver::implied(const vec<Lit>& c)
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{
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assert(decisionLevel() == 0);
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trail_lim.push(trail.size());
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for (int i = 0; i < c.size(); i++)
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if (value(c[i]) == l_True){
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cancelUntil(0);
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return true;
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}else if (value(c[i]) != l_False){
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assert(value(c[i]) == l_Undef);
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uncheckedEnqueue(~c[i]);
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}
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bool result = propagate() != CRef_Undef;
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cancelUntil(0);
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return result;
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}
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// Backward subsumption + backward subsumption resolution
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bool SimpSolver::backwardSubsumptionCheck(bool verbose)
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{
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int cnt = 0;
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int subsumed = 0;
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int deleted_literals = 0;
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assert(decisionLevel() == 0);
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while (subsumption_queue.size() > 0 || bwdsub_assigns < trail.size()){
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// Empty subsumption queue and return immediately on user-interrupt:
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if (asynch_interrupt){
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subsumption_queue.clear();
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bwdsub_assigns = trail.size();
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break; }
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// Check top-level assignments by creating a dummy clause and placing it in the queue:
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if (subsumption_queue.size() == 0 && bwdsub_assigns < trail.size()){
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Lit l = trail[bwdsub_assigns++];
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ca[bwdsub_tmpunit][0] = l;
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ca[bwdsub_tmpunit].calcAbstraction();
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subsumption_queue.insert(bwdsub_tmpunit); }
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CRef cr = subsumption_queue.peek(); subsumption_queue.pop();
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Clause& c = ca[cr];
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if (c.mark()) continue;
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if (verbose && verbosity >= 2 && cnt++ % 1000 == 0)
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printf("subsumption left: %10d (%10d subsumed, %10d deleted literals)\r", subsumption_queue.size(), subsumed, deleted_literals);
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assert(c.size() > 1 || value(c[0]) == l_True); // Unit-clauses should have been propagated before this point.
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// Find best variable to scan:
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Var best = var(c[0]);
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for (int i = 1; i < c.size(); i++)
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if (occurs[var(c[i])].size() < occurs[best].size())
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best = var(c[i]);
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// Search all candidates:
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vec<CRef>& _cs = occurs.lookup(best);
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CRef* cs = (CRef*)_cs;
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for (int j = 0; j < _cs.size(); j++)
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if (c.mark())
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break;
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else if (!ca[cs[j]].mark() && cs[j] != cr && (subsumption_lim == -1 || ca[cs[j]].size() < subsumption_lim)){
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Lit l = c.subsumes(ca[cs[j]]);
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if (l == lit_Undef)
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subsumed++, removeClause(cs[j]);
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else if (l != lit_Error){
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deleted_literals++;
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if (!strengthenClause(cs[j], ~l))
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return false;
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// Did current candidate get deleted from cs? Then check candidate at index j again:
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if (var(l) == best)
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j--;
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}
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}
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}
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return true;
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}
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bool SimpSolver::asymm(Var v, CRef cr)
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{
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Clause& c = ca[cr];
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assert(decisionLevel() == 0);
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if (c.mark() || satisfied(c)) return true;
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trail_lim.push(trail.size());
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Lit l = lit_Undef;
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for (int i = 0; i < c.size(); i++)
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if (var(c[i]) != v && value(c[i]) != l_False)
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uncheckedEnqueue(~c[i]);
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else
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l = c[i];
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if (propagate() != CRef_Undef){
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cancelUntil(0);
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asymm_lits++;
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if (!strengthenClause(cr, l))
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return false;
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}else
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cancelUntil(0);
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return true;
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}
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bool SimpSolver::asymmVar(Var v)
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{
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assert(use_simplification);
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const vec<CRef>& cls = occurs.lookup(v);
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if (value(v) != l_Undef || cls.size() == 0)
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return true;
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for (int i = 0; i < cls.size(); i++)
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if (!asymm(v, cls[i]))
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return false;
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return backwardSubsumptionCheck();
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}
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static void mkElimClause(vec<uint32_t>& elimclauses, Lit x)
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{
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elimclauses.push(toInt(x));
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elimclauses.push(1);
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}
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static void mkElimClause(vec<uint32_t>& elimclauses, Var v, Clause& c)
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{
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int first = elimclauses.size();
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int v_pos = -1;
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// Copy clause to elimclauses-vector. Remember position where the
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// variable 'v' occurs:
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for (int i = 0; i < c.size(); i++){
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elimclauses.push(toInt(c[i]));
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if (var(c[i]) == v)
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v_pos = i + first;
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}
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assert(v_pos != -1);
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// Swap the first literal with the 'v' literal, so that the literal
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// containing 'v' will occur first in the clause:
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uint32_t tmp = elimclauses[v_pos];
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elimclauses[v_pos] = elimclauses[first];
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elimclauses[first] = tmp;
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// Store the length of the clause last:
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elimclauses.push(c.size());
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}
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bool SimpSolver::eliminateVar(Var v)
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{
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assert(!frozen[v]);
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assert(!isEliminated(v));
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assert(value(v) == l_Undef);
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// Split the occurrences into positive and negative:
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//
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const vec<CRef>& cls = occurs.lookup(v);
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vec<CRef> pos, neg;
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for (int i = 0; i < cls.size(); i++)
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(find(ca[cls[i]], mkLit(v)) ? pos : neg).push(cls[i]);
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// Check wether the increase in number of clauses stays within the allowed ('grow'). Moreover, no
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// clause must exceed the limit on the maximal clause size (if it is set):
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//
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int cnt = 0;
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int clause_size = 0;
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for (int i = 0; i < pos.size(); i++)
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for (int j = 0; j < neg.size(); j++)
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if (merge(ca[pos[i]], ca[neg[j]], v, clause_size) &&
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(++cnt > cls.size() + grow || (clause_lim != -1 && clause_size > clause_lim)))
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return true;
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// Delete and store old clauses:
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eliminated[v] = true;
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setDecisionVar(v, false);
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eliminated_vars++;
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if (pos.size() > neg.size()){
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for (int i = 0; i < neg.size(); i++)
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mkElimClause(elimclauses, v, ca[neg[i]]);
|
|
mkElimClause(elimclauses, mkLit(v));
|
|
}else{
|
|
for (int i = 0; i < pos.size(); i++)
|
|
mkElimClause(elimclauses, v, ca[pos[i]]);
|
|
mkElimClause(elimclauses, ~mkLit(v));
|
|
}
|
|
|
|
for (int i = 0; i < cls.size(); i++)
|
|
removeClause(cls[i]);
|
|
|
|
// Produce clauses in cross product:
|
|
vec<Lit>& resolvent = add_tmp;
|
|
for (int i = 0; i < pos.size(); i++)
|
|
for (int j = 0; j < neg.size(); j++)
|
|
if (merge(ca[pos[i]], ca[neg[j]], v, resolvent) && !addClause_(resolvent))
|
|
return false;
|
|
|
|
// Free occurs list for this variable:
|
|
occurs[v].clear(true);
|
|
|
|
// Free watchers lists for this variable, if possible:
|
|
if (watches[ mkLit(v)].size() == 0) watches[ mkLit(v)].clear(true);
|
|
if (watches[~mkLit(v)].size() == 0) watches[~mkLit(v)].clear(true);
|
|
|
|
return backwardSubsumptionCheck();
|
|
}
|
|
|
|
|
|
bool SimpSolver::substitute(Var v, Lit x)
|
|
{
|
|
assert(!frozen[v]);
|
|
assert(!isEliminated(v));
|
|
assert(value(v) == l_Undef);
|
|
|
|
if (!ok) return false;
|
|
|
|
eliminated[v] = true;
|
|
setDecisionVar(v, false);
|
|
const vec<CRef>& cls = occurs.lookup(v);
|
|
|
|
vec<Lit>& subst_clause = add_tmp;
|
|
for (int i = 0; i < cls.size(); i++){
|
|
Clause& c = ca[cls[i]];
|
|
|
|
subst_clause.clear();
|
|
for (int j = 0; j < c.size(); j++){
|
|
Lit p = c[j];
|
|
subst_clause.push(var(p) == v ? x ^ sign(p) : p);
|
|
}
|
|
|
|
removeClause(cls[i]);
|
|
|
|
if (!addClause_(subst_clause))
|
|
return ok = false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
|
|
void SimpSolver::extendModel()
|
|
{
|
|
int i, j;
|
|
Lit x;
|
|
|
|
for (i = elimclauses.size()-1; i > 0; i -= j){
|
|
for (j = elimclauses[i--]; j > 1; j--, i--)
|
|
if (modelValue(toLit(elimclauses[i])) != l_False)
|
|
goto next;
|
|
|
|
x = toLit(elimclauses[i]);
|
|
model[var(x)] = lbool(!sign(x));
|
|
next:;
|
|
}
|
|
}
|
|
|
|
|
|
bool SimpSolver::eliminate(bool turn_off_elim)
|
|
{
|
|
if (!simplify())
|
|
return false;
|
|
else if (!use_simplification)
|
|
return true;
|
|
|
|
// Main simplification loop:
|
|
//
|
|
while (n_touched > 0 || bwdsub_assigns < trail.size() || elim_heap.size() > 0){
|
|
|
|
gatherTouchedClauses();
|
|
// printf(" ## (time = %6.2f s) BWD-SUB: queue = %d, trail = %d\n", cpuTime(), subsumption_queue.size(), trail.size() - bwdsub_assigns);
|
|
if ((subsumption_queue.size() > 0 || bwdsub_assigns < trail.size()) &&
|
|
!backwardSubsumptionCheck(true)){
|
|
ok = false; goto cleanup; }
|
|
|
|
// Empty elim_heap and return immediately on user-interrupt:
|
|
if (asynch_interrupt){
|
|
assert(bwdsub_assigns == trail.size());
|
|
assert(subsumption_queue.size() == 0);
|
|
assert(n_touched == 0);
|
|
elim_heap.clear();
|
|
goto cleanup; }
|
|
|
|
// printf(" ## (time = %6.2f s) ELIM: vars = %d\n", cpuTime(), elim_heap.size());
|
|
for (int cnt = 0; !elim_heap.empty(); cnt++){
|
|
Var elim = elim_heap.removeMin();
|
|
|
|
if (asynch_interrupt) break;
|
|
|
|
if (isEliminated(elim) || value(elim) != l_Undef) continue;
|
|
|
|
if (verbosity >= 2 && cnt % 100 == 0)
|
|
printf("elimination left: %10d\r", elim_heap.size());
|
|
|
|
if (use_asymm){
|
|
// Temporarily freeze variable. Otherwise, it would immediately end up on the queue again:
|
|
bool was_frozen = frozen[elim];
|
|
frozen[elim] = true;
|
|
if (!asymmVar(elim)){
|
|
ok = false; goto cleanup; }
|
|
frozen[elim] = was_frozen; }
|
|
|
|
// At this point, the variable may have been set by assymetric branching, so check it
|
|
// again. Also, don't eliminate frozen variables:
|
|
if (use_elim && value(elim) == l_Undef && !frozen[elim] && !eliminateVar(elim)){
|
|
ok = false; goto cleanup; }
|
|
|
|
checkGarbage(simp_garbage_frac);
|
|
}
|
|
|
|
assert(subsumption_queue.size() == 0);
|
|
}
|
|
cleanup:
|
|
|
|
// If no more simplification is needed, free all simplification-related data structures:
|
|
if (turn_off_elim){
|
|
touched .clear(true);
|
|
occurs .clear(true);
|
|
n_occ .clear(true);
|
|
elim_heap.clear(true);
|
|
subsumption_queue.clear(true);
|
|
|
|
use_simplification = false;
|
|
remove_satisfied = true;
|
|
ca.extra_clause_field = false;
|
|
max_simp_var = nVars();
|
|
|
|
// Force full cleanup (this is safe and desirable since it only happens once):
|
|
rebuildOrderHeap();
|
|
garbageCollect();
|
|
}else{
|
|
// Cheaper cleanup:
|
|
checkGarbage();
|
|
}
|
|
|
|
if (verbosity >= 1 && elimclauses.size() > 0)
|
|
printf("| Eliminated clauses: %10.2f Mb |\n",
|
|
double(elimclauses.size() * sizeof(uint32_t)) / (1024*1024));
|
|
|
|
return ok;
|
|
}
|
|
|
|
|
|
//=================================================================================================
|
|
// Garbage Collection methods:
|
|
|
|
|
|
void SimpSolver::relocAll(ClauseAllocator& to)
|
|
{
|
|
if (!use_simplification) return;
|
|
|
|
// All occurs lists:
|
|
//
|
|
for (int i = 0; i < nVars(); i++){
|
|
occurs.clean(i);
|
|
vec<CRef>& cs = occurs[i];
|
|
for (int j = 0; j < cs.size(); j++)
|
|
ca.reloc(cs[j], to);
|
|
}
|
|
|
|
// Subsumption queue:
|
|
//
|
|
for (int i = subsumption_queue.size(); i > 0; i--){
|
|
CRef cr = subsumption_queue.peek(); subsumption_queue.pop();
|
|
if (ca[cr].mark()) continue;
|
|
ca.reloc(cr, to);
|
|
subsumption_queue.insert(cr);
|
|
}
|
|
|
|
// Temporary clause:
|
|
//
|
|
ca.reloc(bwdsub_tmpunit, to);
|
|
}
|
|
|
|
|
|
void SimpSolver::garbageCollect()
|
|
{
|
|
// Initialize the next region to a size corresponding to the estimated utilization degree. This
|
|
// is not precise but should avoid some unnecessary reallocations for the new region:
|
|
ClauseAllocator to(ca.size() - ca.wasted());
|
|
|
|
to.extra_clause_field = ca.extra_clause_field; // NOTE: this is important to keep (or lose) the extra fields.
|
|
relocAll(to);
|
|
Solver::relocAll(to);
|
|
if (verbosity >= 2)
|
|
printf("| Garbage collection: %12d bytes => %12d bytes |\n",
|
|
ca.size()*ClauseAllocator::Unit_Size, to.size()*ClauseAllocator::Unit_Size);
|
|
to.moveTo(ca);
|
|
}
|