z3-src 415.4.3

Source distribution of the Z3 SMT solver, for use as a build dependency
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
/*++
Copyright (c) 2020 Microsoft Corporation

Module Name:

    smt_parallel.cpp

Abstract:

    Parallel SMT, portfolio loop specialized to SMT core.

Author:

    nbjorner 2020-01-31
    Ilana Shapiro 2025

--*/

#include "util/scoped_ptr_vector.h"
#include "ast/ast_util.h"
#include "ast/ast_pp.h"
#include "ast/ast_ll_pp.h"
#include "ast/ast_translation.h"
#include "ast/simplifiers/then_simplifier.h"
#include "smt/smt_parallel.h"
#include "smt/smt_lookahead.h"
#include "solver/solver_preprocess.h"
#include "params/smt_parallel_params.hpp"

#include <cmath>
#include <mutex>

class bounded_pp_exprs {
    expr_ref_vector const &es;

public:
    bounded_pp_exprs(expr_ref_vector const &es) : es(es) {}

    std::ostream &display(std::ostream &out) const {
        for (auto e : es)
            out << mk_bounded_pp(e, es.get_manager()) << "\n";
        return out;
    }
};

inline std::ostream &operator<<(std::ostream &out, bounded_pp_exprs const &pp) {
    return pp.display(out);
}

#ifdef SINGLE_THREAD

namespace smt {

    lbool parallel::operator()(expr_ref_vector const &asms) {
        return l_undef;
    }
}  // namespace smt

#else

#include <thread>

#define LOG_WORKER(lvl, s) IF_VERBOSE(lvl, verbose_stream() << "Worker " << id << s)

namespace smt {

    void parallel::sls_worker::run() {
        ptr_vector<expr> assertions;
        p.ctx.get_assertions(assertions);
        for (expr* e : assertions)
            m_sls->assert_expr(m_g2l(e));

        lbool res = l_undef;
        try {
            if (!m.inc())
                return;
            res = m_sls->check();
        } 
        catch (z3_exception& ex) {
            // Cancellation is normal in portfolio mode
            if (m.limit().is_canceled()) {
                IF_VERBOSE(1, verbose_stream() << "SLS worker canceled\n");
                return;
            }

            if (strstr(ex.what(), "unsupported for sls") != nullptr) {
                IF_VERBOSE(1, verbose_stream() << "SLS opted out: " << ex.what() << "\n");
                return;
            }

            // Anything else is a real error
            IF_VERBOSE(1, verbose_stream() << "SLS threw exception: " << ex.what() << "\n");
            b.set_exception(ex.what());
            return;
        }

        if (res == l_true) {         
            IF_VERBOSE(2, verbose_stream() << "SLS worker found SAT\n");
            model_ref mdl = m_sls->get_model();
            b.set_sat(m_l2g, *mdl);
        }
    }

    void parallel::sls_worker::cancel() {
        IF_VERBOSE(1, verbose_stream() << " SLS WORKER cancelling\n");
        m.limit().cancel();
    }

    void parallel::sls_worker::collect_statistics(::statistics &st) const {
        m_sls->collect_statistics(st);
    }

    void parallel::worker::run() {
        search_tree::node<cube_config> *node = nullptr;
        expr_ref_vector cube(m);
        while (true) {

            if (!b.get_cube(m_g2l, id, cube, node)) {
                LOG_WORKER(1, " no more cubes\n");
                return;
            }
            collect_shared_clauses();

        check_cube_start:
            LOG_WORKER(1, " CUBE SIZE IN MAIN LOOP: " << cube.size() << "\n");
            lbool r = check_cube(cube);

            if (!m.inc()) {
                b.set_exception("context cancelled");
                return;
            }

            switch (r) {
            case l_undef: {
                update_max_thread_conflicts();
                LOG_WORKER(1, " found undef cube\n");
                if (m_config.m_max_cube_depth <= cube.size())
                    goto check_cube_start;

                auto atom = get_split_atom();
                if (!atom)
                    goto check_cube_start;
                b.split(m_l2g, id, node, atom);
                simplify();
                break;
            }
            case l_true: {
                LOG_WORKER(1, " found sat cube\n");
                model_ref mdl;
                ctx->get_model(mdl);
                b.set_sat(m_l2g, *mdl);
                return;
            }
            case l_false: {
                expr_ref_vector const &unsat_core = ctx->unsat_core();
                LOG_WORKER(2, " unsat core:\n";
                           for (auto c : unsat_core) verbose_stream() << mk_bounded_pp(c, m, 3) << "\n");
                // If the unsat core only contains external assumptions,
                // unsatisfiability does not depend on the current cube and the entire problem is unsat.
                if (all_of(unsat_core, [&](expr *e) { return asms.contains(e); })) {
                    LOG_WORKER(1, " determined formula unsat\n");
                    b.set_unsat(m_l2g, unsat_core);
                    return;
                }

                LOG_WORKER(1, " found unsat cube\n");
                b.backtrack(m_l2g, unsat_core, node);

                if (m_config.m_share_conflicts)
                    b.collect_clause(m_l2g, id, mk_not(mk_and(unsat_core)));

                break;
            }
            }
            if (m_config.m_share_units)
                share_units();
        }
    }

    parallel::worker::worker(unsigned id, parallel &p, expr_ref_vector const &_asms)
        : id(id), p(p), b(p.m_batch_manager), asms(m), m_smt_params(p.ctx.get_fparams()), m_g2l(p.ctx.m, m),
          m_l2g(m, p.ctx.m) {
        for (auto e : _asms)
            asms.push_back(m_g2l(e));
        LOG_WORKER(1, " created with " << asms.size() << " assumptions\n");
        m_smt_params.m_random_seed += id;  // ensure different random seed for each worker
        ctx = alloc(context, m, m_smt_params, p.ctx.get_params());
        ctx->set_logic(p.ctx.m_setup.get_logic());
        context::copy(p.ctx, *ctx, true);
        // don't share initial units
        ctx->pop_to_base_lvl();
        m_num_shared_units = ctx->assigned_literals().size();
        m_num_initial_atoms = ctx->get_num_bool_vars();
        ctx->get_fparams().m_preprocess = false;  // avoid preprocessing lemmas that are exchanged

        smt_parallel_params pp(p.ctx.m_params);
        m_config.m_inprocessing = pp.inprocessing();
    }

    parallel::sls_worker::sls_worker(parallel& p)
        : p(p), b(p.m_batch_manager), m(), m_g2l(p.ctx.m, m), m_l2g(m, p.ctx.m) {
        IF_VERBOSE(1, verbose_stream() << "Initialized SLS portfolio thread\n");
        m_params.append(p.ctx.m_params);
        m_sls = alloc(sls::smt_solver, m, m_params);
    }

    void parallel::worker::share_units() {
        // Collect new units learned locally by this worker and send to batch manager
        
        unsigned sz = ctx->assigned_literals().size();
        for (unsigned j = m_num_shared_units; j < sz; ++j) {  // iterate only over new literals since last sync
            literal lit = ctx->assigned_literals()[j];

            // filter by assign level: do not pop to base level as this destroys the current search state
            if (ctx->get_assign_level(lit) > ctx->m_base_lvl)
                continue;

            if (!ctx->is_relevant(lit.var()) && m_config.m_share_units_relevant_only)
                continue;

            if (m_config.m_share_units_initial_only && lit.var() >= m_num_initial_atoms) {
                LOG_WORKER(4, " Skipping non-initial unit: " << lit.var() << "\n");
                continue;  // skip non-initial atoms if configured to do so
            }

            expr_ref e(ctx->bool_var2expr(lit.var()), ctx->m);  // turn literal into a Boolean expression
            if (m.is_and(e) || m.is_or(e))
                continue;

            if (lit.sign())
                e = m.mk_not(e);  // negate if literal is negative
            b.collect_clause(m_l2g, id, e);
        }
        m_num_shared_units = sz;
    }

    void parallel::worker::simplify() {
        if (!m.inc())
            return;
        // first attempt: one-shot simplification of the context.
        // a precise schedule of repeated simplification is TBD.
        // also, the in-processing simplifier should be applied to
        // a current set of irredundant clauses that may be reduced by
        // unit propagation. By including the units we are effectively
        // repeating unit propagation, but potentially not subsumption or
        // Boolean simplifications that a solver could perform (smt_context doesnt really)
        // Integration of inprocssing simplifcation here or in sat/smt solver could
        // be based on taking the current clause set instead of the asserted formulas.
        if (!m_config.m_inprocessing)
            return;
        if (m_config.m_inprocessing_delay > 0) {
            --m_config.m_inprocessing_delay;
            return;
        }
        ctx->pop_to_base_lvl();
        if (ctx->m_base_lvl > 0)
            return;                       // simplification only at base level
        m_config.m_inprocessing = false;  // initial strategy is to immediately disable inprocessing for future calls.
        dependent_expr_simplifier *s = ctx->m_simplifier.get();
        if (!s) {
            // create a simplifier if none exists
            // initialize it to a default pre-processing simplifier.
            ctx->m_fmls = alloc(base_dependent_expr_state, m);
            auto then_s = alloc(then_simplifier, m, ctx->get_params(), *ctx->m_fmls);
            s = then_s;
            ctx->m_simplifier = s;
            init_preprocess(m, ctx->get_params(), *then_s, *ctx->m_fmls);
        }

        dependent_expr_state &fmls = *ctx->m_fmls.get();
        // extract assertions from ctx.
        // it is possible to track proof objects here if wanted.
        // feed them to the simplifier
        ptr_vector<expr> assertions;
        expr_ref_vector units(m);
        ctx->get_assertions(assertions);
        ctx->get_units(units);
        for (expr *e : assertions)
            fmls.add(dependent_expr(m, e, nullptr, nullptr));
        for (expr *e : units)
            fmls.add(dependent_expr(m, e, nullptr, nullptr));

        // run in-processing on the assertions
        s->reduce();

        scoped_ptr<context> new_ctx = alloc(context, m, m_smt_params, p.ctx.get_params());
        // extract simplified assertions from the simplifier
        // create a new context with the simplified assertions
        // update ctx with the new context.
        for (unsigned i = 0; i < fmls.qtail(); ++i) {
            auto const &de = fmls[i];
            new_ctx->assert_expr(de.fml());
        }

        asserted_formulas &src_af = ctx->m_asserted_formulas;
        asserted_formulas &dst_af = new_ctx->m_asserted_formulas;
        src_af.get_macro_manager().copy_to(dst_af.get_macro_manager());
        new_ctx->copy_user_propagator(*ctx, true);
        ctx = new_ctx.detach();
        ctx->setup_context(true);
        ctx->internalize_assertions();
        auto old_atoms = m_num_initial_atoms;
        m_num_shared_units = ctx->assigned_literals().size();
        m_num_initial_atoms = ctx->get_num_bool_vars();
        LOG_WORKER(1, " inprocess " << old_atoms << " -> " << m_num_initial_atoms << "\n");
    }

    void parallel::worker::collect_statistics(::statistics &st) const {
        ctx->collect_statistics(st);
    }

    void parallel::worker::cancel() {
        LOG_WORKER(1, " canceling\n");
        m.limit().cancel();
    }

    void parallel::batch_manager::backtrack(ast_translation &l2g, expr_ref_vector const &core,
                                            search_tree::node<cube_config> *node) {
        std::scoped_lock lock(mux);
        IF_VERBOSE(1, verbose_stream() << "Batch manager backtracking.\n");
        if (m_state != state::is_running)
            return;
        vector<cube_config::literal> g_core;
        for (auto c : core) {
            expr_ref g_c(l2g(c), m);
            g_core.push_back(expr_ref(l2g(c), m));
        }
        m_search_tree.backtrack(node, g_core);

        IF_VERBOSE(1, m_search_tree.display(verbose_stream() << bounded_pp_exprs(core) << "\n"););
        if (m_search_tree.is_closed()) {
            IF_VERBOSE(1, verbose_stream() << "Search tree closed, setting UNSAT\n");
            m_state = state::is_unsat;
            SASSERT(p.ctx.m_unsat_core.empty());
            for (auto e : m_search_tree.get_core_from_root())
               p.ctx.m_unsat_core.push_back(e);
            cancel_background_threads();
        }
    }

    void parallel::batch_manager::split(ast_translation &l2g, unsigned source_worker_id,
                                        search_tree::node<cube_config> *node, expr *atom) {
        std::scoped_lock lock(mux);
        expr_ref lit(m), nlit(m);
        lit = l2g(atom);
        nlit = mk_not(m, lit);
        IF_VERBOSE(1, verbose_stream() << "Batch manager splitting on literal: " << mk_bounded_pp(lit, m, 3) << "\n");
        if (m_state != state::is_running)
            return;
        // optional heuristic:
        // node->get_status() == status::active
        // and depth is 'high' enough
        // then ignore split, and instead set the status of node to open.
        ++m_stats.m_num_cubes;
        m_stats.m_max_cube_depth = std::max(m_stats.m_max_cube_depth, node->depth() + 1);
        m_search_tree.split(node, lit, nlit);
    }

    void parallel::batch_manager::collect_clause(ast_translation &l2g, unsigned source_worker_id, expr *clause) {
        std::scoped_lock lock(mux);
        expr *g_clause = l2g(clause);
        if (!shared_clause_set.contains(g_clause)) {
            shared_clause_set.insert(g_clause);
            shared_clause sc{source_worker_id, expr_ref(g_clause, m)};
            shared_clause_trail.push_back(sc);
        }
    }

    void parallel::worker::collect_shared_clauses() {
        expr_ref_vector new_clauses = b.return_shared_clauses(m_g2l, m_shared_clause_limit, id);
        // iterate over new clauses and assert them in the local context
        for (expr *e : new_clauses) {
            ctx->assert_expr(e);
            LOG_WORKER(4, " asserting shared clause: " << mk_bounded_pp(e, m, 3) << "\n");
        }
    }

    expr_ref_vector parallel::batch_manager::return_shared_clauses(ast_translation &g2l, unsigned &worker_limit,
                                                                   unsigned worker_id) {
        std::scoped_lock lock(mux);
        expr_ref_vector result(g2l.to());
        for (unsigned i = worker_limit; i < shared_clause_trail.size(); ++i) {
            if (shared_clause_trail[i].source_worker_id != worker_id)
                result.push_back(g2l(shared_clause_trail[i].clause.get()));
        }
        worker_limit = shared_clause_trail.size();  // update the worker limit to the end of the current trail
        return result;
    }

    lbool parallel::worker::check_cube(expr_ref_vector const &cube) {
        for (auto &atom : cube)
            asms.push_back(atom);
        lbool r = l_undef;

        ctx->get_fparams().m_max_conflicts = std::min(m_config.m_threads_max_conflicts, m_config.m_max_conflicts);
        IF_VERBOSE(1, verbose_stream() << " Checking cube\n"
                                       << bounded_pp_exprs(cube)
                                       << "with max_conflicts: " << ctx->get_fparams().m_max_conflicts << "\n";);
        try {
            r = ctx->check(asms.size(), asms.data());
        } catch (z3_error &err) {
            b.set_exception(err.error_code());
        } catch (z3_exception &ex) {
            b.set_exception(ex.what());
        } catch (...) {
            b.set_exception("unknown exception");
        }
        asms.shrink(asms.size() - cube.size());
        LOG_WORKER(1, " DONE checking cube " << r << "\n";);
        return r;
    }

    expr_ref parallel::worker::get_split_atom() {
        expr_ref result(m);
        double score = 0;
        unsigned n = 0;
        ctx->pop_to_search_lvl();
        for (bool_var v = 0; v < ctx->get_num_bool_vars(); ++v) {
            if (ctx->get_assignment(v) != l_undef)
                continue;
            expr *e = ctx->bool_var2expr(v);
            if (!e)
                continue;

            double new_score = ctx->m_lit_scores[0][v] * ctx->m_lit_scores[1][v];

            ctx->m_lit_scores[0][v] /= 2;
            ctx->m_lit_scores[1][v] /= 2;

            if (new_score > score || !result || (new_score == score && m_rand(++n) == 0)) {
                score = new_score;
                result = e;
            }
        }
        return result;
    }

    void parallel::batch_manager::set_sat(ast_translation &l2g, model &m) {
        std::scoped_lock lock(mux);
        IF_VERBOSE(1, verbose_stream() << "Batch manager setting SAT.\n");
        if (m_state != state::is_running)
            return;
        m_state = state::is_sat;
        p.ctx.set_model(m.translate(l2g));
        cancel_background_threads();
    }

    void parallel::batch_manager::set_unsat(ast_translation &l2g, expr_ref_vector const &unsat_core) {
        std::scoped_lock lock(mux);
        IF_VERBOSE(1, verbose_stream() << "Batch manager setting UNSAT.\n");
        if (m_state != state::is_running)
            return;
        m_state = state::is_unsat;

        // each call to check_sat needs to have a fresh unsat core
        SASSERT(p.ctx.m_unsat_core.empty());
        for (expr *e : unsat_core)
            p.ctx.m_unsat_core.push_back(l2g(e));
        cancel_background_threads();
    }

    void parallel::batch_manager::set_exception(unsigned error_code) {
        std::scoped_lock lock(mux);
        IF_VERBOSE(1, verbose_stream() << "Batch manager setting exception code: " << error_code << ".\n");
        if (m_state != state::is_running)
            return;
        m_state = state::is_exception_code;
        m_exception_code = error_code;
        cancel_background_threads();
    }

    void parallel::batch_manager::set_exception(std::string const &msg) {
        std::scoped_lock lock(mux);
        IF_VERBOSE(1, verbose_stream() << "Batch manager setting exception msg: " << msg << ".\n");
        if (m_state != state::is_running)
            return;
        m_state = state::is_exception_msg;
        m_exception_msg = msg;
        cancel_background_threads();
    }

    lbool parallel::batch_manager::get_result() const {
        if (m.limit().is_canceled())
            return l_undef;  // the main context was cancelled, so we return undef.
        switch (m_state) {
        case state::is_running:  // batch manager is still running, but all threads have processed their cubes, which
                                 // means all cubes were unsat
            throw default_exception("inconsistent end state");
        case state::is_unsat:
            return l_false;
        case state::is_sat:
            return l_true;
        case state::is_exception_msg:
            throw default_exception(m_exception_msg.c_str());
        case state::is_exception_code:
            throw z3_error(m_exception_code);
        default:
            UNREACHABLE();
            return l_undef;
        }
    }

    bool parallel::batch_manager::get_cube(ast_translation &g2l, unsigned id, expr_ref_vector &cube, node *&n) {
        cube.reset();
        std::unique_lock<std::mutex> lock(mux);
        if (m_search_tree.is_closed()) {
            IF_VERBOSE(1, verbose_stream() << "all done\n";);
            return false;
        }
        if (m_state != state::is_running) {
            IF_VERBOSE(1, verbose_stream() << "aborting get_cube\n";);
            return false;
        }
        node *t = m_search_tree.activate_node(n);
        if (!t)
            t = m_search_tree.find_active_node();
        if (!t)
            return false;
        IF_VERBOSE(1, m_search_tree.display(verbose_stream()); verbose_stream() << "\n";);
        n = t;
        while (t) {
            if (cube_config::literal_is_null(t->get_literal()))
                break;
            expr_ref lit(g2l.to());
            lit = g2l(t->get_literal().get());
            cube.push_back(std::move(lit));
            t = t->parent();
        }
        return true;
    }

    void parallel::batch_manager::initialize() {
        m_state = state::is_running;
        m_search_tree.reset();
    }

    void parallel::batch_manager::collect_statistics(::statistics &st) const {
        st.update("parallel-num_cubes", m_stats.m_num_cubes);
        st.update("parallel-max-cube-size", m_stats.m_max_cube_depth);
    }

    lbool parallel::operator()(expr_ref_vector const &asms) {
        IF_VERBOSE(1, verbose_stream() << "Parallel SMT with " << num_threads << " threads\n";);
        ast_manager &m = ctx.m;

        if (m.has_trace_stream())
            throw default_exception("trace streams have to be off in parallel mode");

        struct scoped_clear {
            parallel &p;
            scoped_clear(parallel &p) : p(p) {}
            ~scoped_clear() {
                p.m_workers.reset();
                p.m_sls_worker = nullptr;
            }
        };
        scoped_clear clear(*this);

        m_batch_manager.initialize();
        m_workers.reset();

        smt_parallel_params pp(ctx.m_params);
        m_should_run_sls = pp.sls();
        
        scoped_limits sl(m.limit());
        flet<unsigned> _nt(ctx.m_fparams.m_threads, 1);
        SASSERT(num_threads > 1);
        for (unsigned i = 0; i < num_threads; ++i)
            m_workers.push_back(alloc(worker, i, *this, asms));
        for (auto w : m_workers)
            sl.push_child(&(w->limit()));
        if (m_should_run_sls) {
            m_sls_worker = alloc(sls_worker, *this);
            sl.push_child(&(m_sls_worker->limit()));
        }

        // Launch threads
        vector<std::thread> threads;
        threads.resize(m_should_run_sls ? num_threads + 1 : num_threads); // +1 for sls worker
        for (unsigned i = 0; i < num_threads; ++i)
            threads[i] = std::thread([&, i]() { m_workers[i]->run(); });
        
        // the final thread runs the sls worker
        if (m_should_run_sls)
            threads[num_threads] = std::thread([&]() { m_sls_worker->run(); });

        // Wait for all threads to finish
        for (auto &th : threads)
            th.join();

        for (auto w : m_workers)
            w->collect_statistics(ctx.m_aux_stats);
        m_batch_manager.collect_statistics(ctx.m_aux_stats);
        if (m_should_run_sls)
            m_sls_worker->collect_statistics(ctx.m_aux_stats);

        return m_batch_manager.get_result();
    }

}  // namespace smt
#endif