mirror of
https://github.com/Z3Prover/z3
synced 2025-04-23 17:15:31 +00:00
better encodings for at-most-1, #755
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
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17 changed files with 232 additions and 253 deletions
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@ -251,191 +251,6 @@ namespace smt {
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expr_ref_vector& conseq,
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expr_ref_vector& unfixed) {
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m_antecedents.reset();
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pop_to_base_lvl();
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lbool is_sat = check(assumptions.size(), assumptions.c_ptr());
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if (is_sat != l_true) {
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return is_sat;
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}
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obj_map<expr, expr*> var2val;
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index_set _assumptions;
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for (unsigned i = 0; i < assumptions.size(); ++i) {
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_assumptions.insert(get_literal(assumptions[i]).var());
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}
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model_ref mdl;
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get_model(mdl);
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ast_manager& m = m_manager;
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expr_ref_vector trail(m);
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model_evaluator eval(*mdl.get());
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expr_ref val(m);
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TRACE("context", model_pp(tout, *mdl););
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for (unsigned i = 0; i < vars.size(); ++i) {
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eval(vars[i], val);
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if (m.is_value(val)) {
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trail.push_back(val);
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var2val.insert(vars[i], val);
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}
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else {
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unfixed.push_back(vars[i]);
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}
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}
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unsigned num_units = 0;
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extract_fixed_consequences(num_units, var2val, _assumptions, conseq);
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app_ref eq(m);
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TRACE("context",
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tout << "vars: " << vars.size() << "\n";
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tout << "lits: " << num_units << "\n";);
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m_case_split_queue->init_search_eh();
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unsigned num_iterations = 0;
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unsigned model_threshold = 2;
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unsigned num_fixed_eqs = 0;
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unsigned num_reiterations = 0;
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while (!var2val.empty()) {
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obj_map<expr,expr*>::iterator it = var2val.begin();
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expr* e = it->m_key;
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expr* val = it->m_value;
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TRACE("context", tout << "scope level: " << get_scope_level() << "\n";);
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SASSERT(!inconsistent());
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//
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// The current variable is checked to be a backbone
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// We add the negation of the reference assignment to the variable.
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// If the variable is a Boolean, it means adding literal that has
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// the opposite value of the current reference model.
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// If the variable is a non-Boolean, it means adding a disequality.
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//
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literal lit = mk_diseq(e, val);
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mark_as_relevant(lit);
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push_scope();
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assign(lit, b_justification::mk_axiom(), true);
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flet<bool> l(m_searching, true);
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//
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// We check if the current assignment stack can be extended to a
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// satisfying assignment. bounded search may decide to restart,
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// in which case it returns l_undef and clears search failure.
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//
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while (true) {
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is_sat = bounded_search();
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TRACE("context", tout << "search result: " << is_sat << "\n";);
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if (is_sat != l_true && m_last_search_failure != OK) {
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return is_sat;
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}
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if (is_sat == l_undef) {
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TRACE("context", tout << "restart\n";);
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inc_limits();
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continue;
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}
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break;
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}
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//
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// If the state is satisfiable with the current variable assigned to
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// a different value from the reference model, it is unfixed.
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//
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// If it is assigned above the search level we can't conclude anything
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// about its value.
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// extract_fixed_consequences pops the assignment stack to the search level
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// so this sets up the state to retry finding fixed values.
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//
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// Otherwise, the variable is fixed.
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// - it is either assigned at the search level to l_false, or
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// - the state is l_false, which means that the variable is fixed by
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// the background constraints (and does not depend on assumptions).
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//
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if (is_sat == l_true && get_assignment(lit) == l_true && is_relevant(lit)) {
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var2val.erase(e);
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unfixed.push_back(e);
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SASSERT(!are_equal(e, val));
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TRACE("context", tout << mk_pp(e, m) << " is unfixed\n";
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display_literal_verbose(tout, lit); tout << "\n";
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tout << "relevant: " << is_relevant(lit) << "\n";
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display(tout););
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}
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else if (is_sat == l_true && (get_assign_level(lit) > get_search_level() || !is_relevant(lit))) {
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TRACE("context", tout << "Retry fixing: " << mk_pp(e, m) << "\n";);
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extract_fixed_consequences(num_units, var2val, _assumptions, conseq);
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++num_reiterations;
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continue;
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}
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else {
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//
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// The state can be labeled as inconsistent when the implied consequence does
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// not depend on assumptions, then the conflict level sits at the search level
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// which causes the conflict resolver to decide that the state is unsat.
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//
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if (l_false == is_sat) {
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SASSERT(inconsistent());
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m_conflict = null_b_justification;
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m_not_l = null_literal;
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}
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TRACE("context", tout << "Fixed: " << mk_pp(e, m) << " " << is_sat << "\n";
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if (is_sat == l_false) display(tout););
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}
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++num_iterations;
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//
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// Check the slow pass: it retrieves an updated model and checks if the
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// values in the updated model differ from the values in the reference
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// model.
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//
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bool apply_slow_pass = model_threshold <= num_iterations || num_iterations <= 2;
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if (apply_slow_pass && is_sat == l_true) {
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delete_unfixed(var2val, unfixed);
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// The next time we check the model is after 1.5 additional iterations.
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model_threshold *= 3;
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model_threshold /= 2;
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}
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//
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// Walk the assignment stack at level 1 for learned consequences.
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// The current literal should be assigned at the search level unless
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// the state is is_sat == l_true and the assignment to lit is l_true.
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// This condition is checked above.
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//
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extract_fixed_consequences(num_units, var2val, _assumptions, conseq);
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//
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// Fixed equalities can be extracted by walking all variables and checking
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// if the congruence roots are equal at the search level.
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//
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if (apply_slow_pass) {
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num_fixed_eqs += extract_fixed_eqs(var2val, conseq);
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IF_VERBOSE(1, display_consequence_progress(verbose_stream(), num_iterations, var2val.size(), conseq.size(),
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unfixed.size(), num_fixed_eqs););
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TRACE("context", display_consequence_progress(tout, num_iterations, var2val.size(), conseq.size(),
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unfixed.size(), num_fixed_eqs););
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}
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TRACE("context", tout << "finishing " << mk_pp(e, m) << "\n";);
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SASSERT(!inconsistent());
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//
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// This becomes unnecessary when the fixed consequence are
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// completely extracted.
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//
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if (var2val.contains(e)) {
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TRACE("context", tout << "Fixed value to " << mk_pp(e, m) << " was not processed\n";);
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expr_ref fml(m);
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fml = m.mk_eq(e, var2val.find(e));
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if (!m_antecedents.contains(lit.var())) {
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extract_fixed_consequences(lit, var2val, _assumptions, conseq);
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}
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fml = m.mk_implies(antecedent2fml(m_antecedents[lit.var()]), fml);
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conseq.push_back(fml);
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var2val.erase(e);
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}
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}
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end_search();
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DEBUG_CODE(validate_consequences(assumptions, vars, conseq, unfixed););
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return l_true;
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}
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lbool context::get_consequences2(expr_ref_vector const& assumptions,
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expr_ref_vector const& vars,
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expr_ref_vector& conseq,
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expr_ref_vector& unfixed) {
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m_antecedents.reset();
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pop_to_base_lvl();
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lbool is_sat = check(assumptions.size(), assumptions.c_ptr());
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@ -552,6 +367,65 @@ namespace smt {
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}
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lbool context::find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes) {
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index_set lits;
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for (unsigned i = 0; i < vars.size(); ++i) {
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expr* n = vars[i];
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bool neg = m_manager.is_not(n, n);
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if (b_internalized(n)) {
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lits.insert(literal(get_bool_var(n), !neg).index());
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}
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}
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while (!lits.empty()) {
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literal_vector mutex;
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index_set other(lits);
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while (!other.empty()) {
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index_set conseq;
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literal p = to_literal(*other.begin());
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other.erase(p.index());
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mutex.push_back(p);
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if (other.empty()) {
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break;
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}
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get_reachable(p, other, conseq);
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other = conseq;
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}
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if (mutex.size() > 1) {
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expr_ref_vector mux(m_manager);
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for (unsigned i = 0; i < mutex.size(); ++i) {
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expr_ref e(m_manager);
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literal2expr(mutex[i], e);
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mux.push_back(e);
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}
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mutexes.push_back(mux);
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}
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for (unsigned i = 0; i < mutex.size(); ++i) {
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lits.remove(mutex[i].index());
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}
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}
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return l_true;
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}
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void context::get_reachable(literal p, index_set& goal, index_set& reachable) {
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index_set seen;
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literal_vector todo;
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todo.push_back(p);
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while (!todo.empty()) {
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p = todo.back();
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todo.pop_back();
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if (seen.contains(p.index())) {
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continue;
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}
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seen.insert(p.index());
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literal np = ~p;
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if (goal.contains(np.index())) {
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reachable.insert(np.index());
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}
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watch_list & w = m_watches[np.index()];
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todo.append(static_cast<unsigned>(w.end_literals() - w.begin_literals()), w.begin_literals());
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}
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}
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//
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// Validate, in a slow pass, that the current consequences are correctly
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// extracted.
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@ -1344,6 +1344,9 @@ namespace smt {
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literal lit, context& src_ctx, context& dst_ctx,
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vector<bool_var> b2v, ast_translation& tr);
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/*
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\brief Utilities for consequence finding.
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*/
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typedef hashtable<unsigned, u_hash, u_eq> index_set;
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//typedef uint_set index_set;
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u_map<index_set> m_antecedents;
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expr_ref antecedent2fml(index_set const& ante);
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literal mk_diseq(expr* v, expr* val);
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void validate_consequences(expr_ref_vector const& assumptions, expr_ref_vector const& vars,
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expr_ref_vector const& conseq, expr_ref_vector const& unfixed);
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/*
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\brief Auxiliry function for mutex finding.
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*/
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void get_reachable(literal p, index_set& goal, index_set& reached);
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public:
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context(ast_manager & m, smt_params & fp, params_ref const & p = params_ref());
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lbool check(unsigned num_assumptions = 0, expr * const * assumptions = 0, bool reset_cancel = true);
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lbool get_consequences(expr_ref_vector const& assumptions, expr_ref_vector const& vars, expr_ref_vector& conseq, expr_ref_vector& unfixed);
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lbool get_consequences2(expr_ref_vector const& assumptions, expr_ref_vector const& vars, expr_ref_vector& conseq, expr_ref_vector& unfixed);
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lbool find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes);
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lbool setup_and_check(bool reset_cancel = true);
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@ -112,7 +112,11 @@ namespace smt {
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}
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lbool get_consequences(expr_ref_vector const& assumptions, expr_ref_vector const& vars, expr_ref_vector& conseq, expr_ref_vector& unfixed) {
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return m_kernel.get_consequences2(assumptions, vars, conseq, unfixed);
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return m_kernel.get_consequences(assumptions, vars, conseq, unfixed);
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}
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lbool find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes) {
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return m_kernel.find_mutexes(vars, mutexes);
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}
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void get_model(model_ref & m) const {
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return m_imp->get_consequences(assumptions, vars, conseq, unfixed);
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}
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lbool kernel::find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes) {
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return m_imp->find_mutexes(vars, mutexes);
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}
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void kernel::get_model(model_ref & m) const {
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m_imp->get_model(m);
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}
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@ -132,6 +132,11 @@ namespace smt {
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lbool get_consequences(expr_ref_vector const& assumptions, expr_ref_vector const& vars,
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expr_ref_vector& conseq, expr_ref_vector& unfixed);
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/*
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\brief find mutually exclusive variables.
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*/
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lbool find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes);
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/**
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\brief Return the model associated with the last check command.
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*/
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@ -73,6 +73,10 @@ namespace smt {
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return m_context.get_consequences(assumptions, vars, conseq, unfixed);
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}
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virtual lbool find_mutexes(expr_ref_vector const& vars, vector<expr_ref_vector>& mutexes) {
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return m_context.find_mutexes(vars, mutexes);
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}
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virtual void assert_expr(expr * t) {
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m_context.assert_expr(t);
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}
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SASSERT(idx < get_num_assertions());
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return m_context.get_formulas()[idx];
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}
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};
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};
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@ -519,6 +519,7 @@ namespace smt {
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c->m_compilation_threshold = th;
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IF_VERBOSE(2, verbose_stream() << "(smt.pb setting compilation threhshold to " << th << ")\n";);
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TRACE("pb", tout << "compilation threshold: " << th << "\n";);
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compile_ineq(*c);
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}
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else {
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c->m_compilation_threshold = UINT_MAX;
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void theory_pb::inc_propagations(ineq& c) {
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++c.m_num_propagations;
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if (c.m_compiled == l_false && c.m_num_propagations > c.m_compilation_threshold) {
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if (c.m_compiled == l_false && c.m_num_propagations >= c.m_compilation_threshold) {
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c.m_compiled = l_undef;
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m_to_compile.push_back(&c);
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}
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n -= rational::one();
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}
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}
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if (ctx.get_assignment(thl) == l_true &&
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ctx.get_assign_level(thl) == ctx.get_base_level()) {
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psort_expr ps(ctx, *this);
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psort_nw<psort_expr> sortnw(ps);
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sortnw.m_stats.reset();
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at_least_k = sortnw.ge(false, k, in.size(), in.c_ptr());
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at_least_k = sortnw.ge(false, k, in.size(), in.c_ptr());
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ctx.mk_clause(~thl, at_least_k, justify(~thl, at_least_k));
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m_stats.m_num_compiled_vars += sortnw.m_stats.m_num_compiled_vars;
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m_stats.m_num_compiled_clauses += sortnw.m_stats.m_num_compiled_clauses;
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