The higher-order matcher produced ill-typed instantiations that aborted
the solve (sort-mismatch / unbound-variable exceptions), making
smt.ho_matching=true net-negative on the TPTP THF benchmarks.
Two root causes:
1. Imitation rule (ho_matcher.cpp): the select chain 'pats' is collected
outermost-first, i.e. in reverse application order. The imitating
lambda must curry arguments in application order (first-applied select
binds the outermost lambda). Reversing 'pats' before building the
domain/argument/body vectors and the lambda-wrapping loop makes the
constructed lambda's sort agree with the flex head variable. Fixes
unit-test ho_matcher test6c/test6d (previously asserted at
add_binding: v->get_sort() == t->get_sort()).
2. Instance assembly (smt_quantifier.cpp on_ho_match): the fixpoint
binding substitution used var_subst with the default std_order=true
while the binding vector is directly indexed (binding[k] = value for
var k). This resolved chained HO variable references against the wrong
slots and built ill-sorted terms (assertion at rewriter_def.h:52).
Use direct (std_order=false) substitution to match the binding layout.
Also adds defensive guards as belt-and-suspenders: subst_sorts_match
skips sort-inconsistent substitutions, an is_ground check skips bindings
with leftover de Bruijn variables, and on_ho_match catches z3_exception
to skip an unusable heuristic instance rather than aborting the solve
(re-raising only on cancellation/resource-limit).
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Add -st statistics counters:
- ho-matching refinements / instances (default_qm_plugin, gated on
smt.ho_matching)
- ho-var term-enum: terms produced by mf::ho_var::populate_inst_sets
in the model finder
Wired via a new quantifier_manager_plugin::collect_statistics virtual
forwarded from quantifier_manager::collect_statistics.
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Root-caused and fixed 261 debug-assertion crashes found by running Z3
across the TPTP benchmarks (-tptp -T:5 model_validate=true):
1. theory_polymorphism::final_check_eh returned FC_DONE after assigning
the negation of its (already-true) theory assumption, which creates a
conflict. Returning FC_DONE reported l_true while the context was
inconsistent, tripping SASSERT(status != l_true || !inconsistent())
in context::restart. Return FC_CONTINUE so conflict resolution turns
it into l_false and the normal research loop runs.
2. model_evaluator::get_macro, polymorphic branch: def = subst(def)
assigned an expr_ref temporary to a raw expr*&; the temporary freed
the freshly substituted term, leaving def dangling (use-after-free
during model evaluation). Pin the substituted def in m_pinned, as the
as-array path already does.
3. smt_model_checker::add_instance: relax stale
SASSERT(!m.is_model_value(sk_term)); get_inv may legitimately return a
model value in polymorphic settings, already handled downstream by
get_type_compatible_term.
Unit tests: 92 passed, 0 failed. All 261 assertion crashes resolved;
the 3 remaining files are controlled ERR_PARSER (exit 103) rejections.
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
The polymorphism theory routed polymorphic (\) problems through
theory_polymorphism, which instantiated axioms during search. Two leaks:
1. In inst::instantiate, insert_ref_map was constructed with an expr_ref
argument, so its template parameter D deduced to expr_ref instead of
expr*. Trail objects are region-allocated and freed without running
destructors, so the embedded expr_ref never released its reference,
leaking one AST subtree per instantiation. Pass e_inst.get() so D is
expr*, matching the raw hashtable + manual inc_ref/dec_ref pattern.
2. trail_stack's destructor does not call reset(), so level-0 trail items
(including the inc_ref balancing entries for m_from_instantiation) were
never undone when the theory was destroyed. Added a ~theory_polymorphism
destructor that calls m_trail.reset().
Also keeps a defensive alias check in util::unify and a fresh per-iteration
substitution in inst::instantiate.
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
This is another PR towards the goal of getting Z3 to compile cleanly
when included via FetchContents into clang-tidy, which uses a pretty
strict set of warnings.
This is a second version of https://github.com/Z3Prover/z3/pull/9957. I
address @NikolajBjorner 's comments about not changing the semicolons
after macro invocations, because some editors work better with them
present. It now, to the best of my ability, only deletes semis:
* after the closing brace of namespace decl.
* after the closing brace of an extern "C" decl.
* after a function definition.
This PR is very large, but it consists entirely of deletions of
semicolons in these situations.
(If there was a way to update the previous PR, which had been closed,
and that is preferable, please let me know. I couldn't figure it out.)
## Summary
Fixes a hang (wall-clock timeout) in the native parallel SMT solver when
a cube is incomplete for a reason that cannot change. Originating
discussion: https://github.com/Z3Prover/bench/discussions/2746
Benchmark: `iss-3707/bug-1.smt2` (`QF_NRA`, runs with
`parallel.enable=true`).
## Divergence
The recorded oracle vs. current z3 (`z3 -T:20`):
```diff
-(incomplete (theory difference-logic))
-unknown
+timeout
```
z3 should terminate with `unknown` (incomplete theory) but instead spins
until the 20s timeout.
## Root cause
In `src/smt/smt_parallel.cpp` the per-cube worker handled an `l_undef`
cube by unconditionally calling `update_max_thread_conflicts()` and
re-splitting/re-checking. That only helps when the cube was abandoned at
the per-cube conflict limit (`max-conflicts-reached`). When the cube is
incomplete for a permanent reason (incomplete theory, quantifiers,
resource limits), the verdict never changes, so the worker re-checks the
same cube forever. The `batch_manager` had no `unknown` terminal state,
so `get_result()` could only end as sat/unsat/exception — there was no
way to settle on `unknown`, hence the hang. This is the `smt_parallel`
analogue of the `parallel_tactical.cpp` regression fixed earlier.
## Fix
Minimal, mirroring the tactic-side fix:
- add an `is_unknown` batch-manager state + `m_reason_unknown`;
- a worker reporting `l_undef` whose `last_failure` is not
`max-conflicts-reached` calls `set_unknown(reason)` and stops
re-splitting;
- `set_sat`/`set_unsat` may still override `is_unknown` so a definitive
answer wins;
- `get_result()` maps `is_unknown -> l_undef` and the reason propagates
to the parent context.
## Validation
Rebuilt z3 (`make -C build -j16`) and re-ran the benchmark 5× with
`-T:20`. Every run finished in well under the timeout with output
matching the oracle byte-for-byte:
```
(incomplete (theory difference-logic))
unknown
```
Created as a **draft** for human review.
> Generated by [Fix a Z3 snapshot-regression
divergence](https://github.com/Z3Prover/bench/actions/runs/28358375255)
· 553.9 AIC · ⌖ 27.2 AIC · ⊞ 9K ·
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Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Add new parallel algorithm as a tactic (parallel_tactical2.cpp)
Don't port over old experiments from smt_parallel that we aren't using
(sls, inprocessing, failed_literal_mode for bb detection)
Fix bugs: lease cancellation/reslimit race condition, involves changing
lease epoch to simple boolean flag
Also, now there is a single shared set of params for the tactic and
smt_parallel
**Test runs for the parallel_tactical2 vs old smt_parallel version:**
run-2747-Z3-threads-4-qflia-30s-stats.md
run-2746-Z3-threads-4-qflia-30s-parallel_tactic-stats.md
run-2745-Z3-threads-1-qfbv-30s-stats.md
run-3013-Z3-threads-4-qfbv-30s-parallel_tactic-stats.md --> note this is
indeed run-3013, I reran after a bugfix in inc_sat_solver
run-2743-Z3-threads-4-qfnia-30s-stats.md
run-2742-Z3-threads-4-qfnia-30s-parallel_tactic-stats.md
**Test runs for the new smt_parallel with bugfixes:**
run-2801-Z3-threads-4-qflia-30s-smtparallel-bugfixes-stats.md,
run-2800-Z3-threads-4-qflia-30s-smtparallel-bugfixes-stats.md
run-2797-Z3-threads-4-qfnia-30s-smtparallel-bugfixes-stats.md
compare to old smt_parallel:
run-2747-Z3-threads-4-qflia-30s-stats.md
run-2743-Z3-threads-4-qfnia-30s-stats.md
Note that there is a slight regression on lia in run-2800. The source of
this appears to be the new new LP largest-cube LIA heuristic param,
which is enabled by default. disabling this param in run-2801 restored
performance (I didn't change this in this PR though, just something to
note)
http://mtzguido.tplinkdns.com:8081/z3/compare_stats.html
---------
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
Co-authored-by: Ilana Shapiro <ilanashapiro@Ilanas-MacBook-Pro.local>
Co-authored-by: Ilana Shapiro <ilanashapiro@Ilanas-MBP.localdomain>
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
## Summary
Fixes a Z3 snapshot-regression divergence tracked in Z3Prover/bench
discussion
https://github.com/Z3Prover/bench/discussions/2662.
- **Benchmark:** `iss-5753/small-3.smt2` (Z3Prover/bench corpus,
original issue z3#5753)
- **Regression:** recorded oracle `unsat` (captured 2026-06-05) →
current `master` produces `timeout` at `-T:20`
- **bench workflow run:**
https://github.com/Z3Prover/bench/actions/runs/28078176175
### Divergence
```diff
--- small-3.expected.out (expected)
+++ produced (current z3)
@@ -1 +1 @@
-unsat
+timeout
```
The answer `unsat` is still correct — z3 simply can no longer prove it
within the
budget. This is a **performance regression**, not a wrong/unsound
result.
## Root cause
The benchmark is a quantified Array/Real/Int problem solved via MBQI.
The model
finder's quantifier analyzer (`src/smt/smt_model_finder.cpp`) now
creates a
`ho_var` qinfo for **array-sorted quantified variables used as terms**
(the new
higher-order term-enumeration path introduced in #9908, "Term
enumeration",
commit `5699142f5`). Before that commit such an occurrence set
`m_info->m_is_auf = false` (a safe fallback that left no extra
instantiation
hints), which is the behaviour that was active when the `unsat` oracle
was
captured.
`ho_var::populate_inst_sets` builds instantiation candidates with:
```cpp
for (auto t : tn.enum_terms(srt)) {
...
S->insert(t, generation);
}
```
`term_enumeration::enum_terms` is a **lazy, increasing-cost generator
with no
inherent bound** (see `ast/rewriter/term_enumeration.h`). For this
benchmark the
relevant array sort `(Array Int (Array Int Real))` has many array-valued
uninterpreted productions (`tptpummul`, `trans`, `inv`, ...), so
iterating the
generator to exhaustion inserts an explosively large number of terms
into the
instantiation set, blowing up MBQI instantiation and exhausting the 20s
budget.
Confirmed empirically: running the benchmark with `-v:3` shows
`ho_var::populate_inst_sets: 622 (Array Int (Array Int Real))`, i.e.
this exact
path fires for the divergent benchmark.
Notably, the original commit `5699142f5` declared `unsigned max_count =
20;` for
this very loop but **never applied it**, and that dead variable was
subsequently
removed — leaving the enumeration completely unbounded.
## Fix
Restore the intended bound so at most 20 of the cheapest enumerated
terms are
added to the instantiation set:
```cpp
unsigned max_count = 20;
for (auto t : tn.enum_terms(srt)) {
if (max_count == 0)
break;
--max_count;
...
S->insert(t, generation);
}
```
This is sound (instantiation only ever adds valid ground instances of
the
quantified formula) and is strictly more information than the pre-#9908
baseline
(which added no `ho_var` terms at all), so it does not regress problems
the
feature was meant to help. The change is confined to a single loop in
`src/smt/smt_model_finder.cpp`.
## Validation
Built the checkout in Release mode and re-ran the failing benchmark with
the
same options the snapshot harness uses:
```
$ build/z3 -T:20 inputs/issues/iss-5753/small-3.smt2
unsat # was: timeout
real 0m0.120s
```
The combined output now matches the recorded `small-3.expected.out`
oracle
**byte-for-byte** (`unsat\n`). A smoke run over a sample of other corpus
benchmarks showed no crashes or new divergences, and a basic
`(check-sat)/(get-model)` sanity check still works.
---
This PR is opened as a **draft** for human review by the automated
snapshot-regression fixer.
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
> Generated by [Fix a Z3 snapshot-regression
divergence](https://github.com/Z3Prover/bench/actions/runs/28078343154)
· 2.8K AIC · ⌖ 150.7 AIC · ⊞ 39K ·
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Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
This is another PR towards the goal of getting a clean build with clang,
using the compiler options used in building clang-tidy.
By default, without any new -W flags, clang warns about unused local
variables and private class fields. This PR deletes the handful of these
that clang found.
I'm assuming that the class "enode" in smt_context.cpp is the one in
smt_enode.h, so that
```
parent->get_expr()
```
calls a const method with no side effects.
Implemented the largest cube heuristic from Bromberger and Weidenbach's
paper on cubes. Also fixes an overflow bug in mzp.
Use vswhere to find the visual studio version on windows in the build's ymls.
---------
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
Co-authored-by: Claude Fable 5 <noreply@anthropic.com>
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Implements the algorithm of Eq(p,q) = Empty(p XOR q)' using a union-find
driven bisimulation closure (per the CAV'26 ERE paper).
### What's added
* **New primitive OP_RE_XOR (re.xor)** wired through seq_decl_plugin:
parser signature, info propagation (nullable, min_length), and
pretty-printer.
* **seq_rewriter**: structural XOR rewrites ( XOR r = empty, XOR empty =
r, ull XOR r = comp(r), comp/comp absorption, complement push, AC
normalisation), nullability (Null(p XOR q) = Null(p) != Null(q)),
derivative (D_a(p XOR q) = D_a(p) XOR D_a(q)), reverse, antimirov
derivative, and `check_deriv_normal_form` coverage.
* **New class seq::regex_bisim** in
`src/ast/rewriter/seq_regex_bisim.{h,cpp}` to keep the bisim logic out
of the already-large `seq_rewriter.cpp`. Uses `basic_union_find` from
`util/union_find.h`, an `obj_map` for the node assignment, and a
50000-step bound (returns `l_undef` on overrun).
* **Integration** in `seq_rewriter::reduce_re_eq` (with a re-entry
guard) and in `seq_regex::propagate_eq` / `propagate_ne` for ground
regexes; on `l_undef` we fall back to the existing axiomatisation.
* **`sls_seq_plugin`**: extend `OP_RE_DIFF` switch arms to also cover
`OP_RE_XOR`.
### Validation
* Full release build with MSVC + Ninja.
* `./test-z3 /a` -- 89/89 tests passing.
* `./test-z3 /seq smt2print_parse` -- PASS.
* Smoke tests with `(a|b)*` vs `(a*b*)*` (equal) and `a*` vs `(a|b)*`
(not equal) return the expected `sat`/`unsat` quickly.
---------
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Fixes#9022.
## Problem
After a `(push)`, Z3 could incorrectly report `unsat` for satisfiable
FPA formulas in which an uninterpreted function returns a floating-point
value (e.g. `int_to_fp`). The example in #9022 has a single `push` and a
single `check-sat` (no `pop`), so the `m_rw.reset()` added in
`pop_scope_eh` by #8712 does not apply.
## Root cause
`theory_fpa` lazily converts FP constraints to bit-vectors and asserts
the equivalences/side conditions as **unit theory axioms**
(`assert_cnstr` → `mk_th_axiom`, which `assign`s the literal at the
current decision level).
For `fp.to_*` terms (`fp.to_real`, `fp.to_ubv`, …) the conversion
equality and side conditions are emitted **only** in
`internalize_term()`, which runs exactly once. The `else if` branch for
fpa-family conversion terms in `relevant_eh` previously did nothing.
These unit axioms are level-local: on DPLL backtracking the assignment
is undone, but `internalize_term()` is not re-run for the
already-internalized term (in particular when the term lives at the
user-`push` base level, where its clause is not a reinit clause). The
side conditions include the axioms linking FP uninterpreted functions to
their bit-vector counterparts (`int_to_fp(i) =
fp(extract(int_to_fp_bv(i)))`). Once lost, `int_to_fp_bv` becomes
unconstrained, enabling an unsound `unsat`. This is exactly the behavior
described in #8345/#9022 (and why the result flips with vs. without
`push`).
## Fix
`relevant_eh` re-fires on relevancy re-propagation after a backtrack.
Re-emit the conversion equality and side conditions for `fp.to_*` terms
there, mirroring `internalize_term`, so the FP↔BV linking axioms stay in
force across backtracking. On an `m_conversions` cache hit this just
re-asserts the (hash-consed) conversion equality and a `true` side
condition, so it adds no new terms and no clause bloat. The change only
adds sound constraints, so it can never turn a satisfiable formula
`unsat`.
## Validation
- #9022 reproducer: no longer reports `unsat` across many random seeds
and longer timeouts; a model (`sat`) is still found (the problem is
inherently hard quantified FP + nonlinear arithmetic, so timeouts are
expected).
- #8345 reproducer: first `check-sat` still `unsat` (the negated
quantifier axiom is valid).
- Additional incremental push/pop FP cases with
`fp.to_real`/`fp.add`/`fp.sub` and FP-returning UFs: correct, consistent
results.
- `test-z3 /a`: all 89 unit tests pass.
- Debug build (soundness assertions enabled): no assertion failures on
the above cases.
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
https://github.com/Z3Prover/z3/pull/9405 made the trace report
used_enodes incorrectly, since the previous code relied on
update_max_generation to maintain the relevant data structure. This
should fix it.
Co-authored-by: Can Cebeci <t-cancebeci@microsoft.com>
Cleans up dead code left by the "remove side definitions" refactoring
(a0a3047).
- **`smt_model_checker.cpp`** — Remove `defined_names dn(m)` variable
that was declared but never used
- **`smt_model_checker.h`** — Drop the now-unnecessary `#include
"ast/normal_forms/defined_names.h"`
- **`fingerprints.cpp`** — Collapse redundant tail in
`fingerprint_set::contains`:
```cpp
// Before
if (m_set.contains(d))
return true;
return false;
// After
return m_set.contains(d);
```
---------
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
This simplifies the recent `choice` axiom path in the SMT array solver
for consistency with the SAT-side implementation. The change is purely
structural: align local naming with the quantifier body it represents,
inline a single-use literal, and remove stray whitespace in the array
decl header.
- **Choice axiom cleanup**
- Rename the local implication term in
`theory_array_full::instantiate_choice_axiom` from `ax` to `body`
- Match the naming already used in
`sat/smt/array_axioms.cpp::assert_choice_axiom`
- **Single-use literal inlining**
- Replace the temporary `literal l = mk_literal(q); assert_axiom(l);`
with a direct call
- Reduce noise without changing behavior
- **Header whitespace cleanup**
- Remove trailing whitespace in `src/ast/array_decl_plugin.h`
```c++
expr_ref body(m.mk_implies(px, pc), m);
expr_ref q(m.mk_forall(1, &x_sort, &x_name, body), m);
ctx.get_rewriter()(q);
assert_axiom(mk_literal(q));
```
---------
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
- only the internalizer performs closure conversion
- theory_array treats propagation of lambdas similar to stores
- ho_matcher treats top-level flex patterns as first-order
- pattern-inference fix to handle quantifiers (lambdas) in patterns that are computed