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overhaul of proof format for new solver

This commit overhauls the proof format (in development) for the new core.

NOTE: this functionality is work in progress with a long way to go.
It is shielded by the sat.euf option, which is off by default and in pre-release state.
It is too early to fuzz or use it. It is pushed into master to shed light on road-map for certifying inferences of sat.euf.

It retires the ad-hoc extension of DRUP used by the SAT solver.
Instead it relies on SMT with ad-hoc extensions for proof terms.
It adds the following commands (consumed by proof_cmds.cpp):

- assume  - for input clauses
- learn   - when a clause is learned (or redundant clause is added)
- del     - when a clause is deleted.

The commands take a list of expressions of type Bool and the
last argument can optionally be of type Proof.
When the last argument is of type Proof it is provided as a hint
to justify the learned clause.

Proof hints can be checked using a self-contained proof
checker. The sat/smt/euf_proof_checker.h class provides
a plugin dispatcher for checkers.
It is instantiated with a checker for arithmetic lemmas,
so far for Farkas proofs.

Use example:
```
(set-option :sat.euf true)
(set-option :tactic.default_tactic smt)
(set-option :sat.smt.proof f.proof)
(declare-const x Int)
(declare-const y Int)
(declare-const z Int)
(declare-const u Int)
(assert (< x y))
(assert (< y z))
(assert (< z x))
(check-sat)
```

Run z3 on a file with above content.
Then run z3 on f.proof

```
(verified-smt)
(verified-smt)
(verified-smt)
(verified-farkas)
(verified-smt)
```
This commit is contained in:
Nikolaj Bjorner 2022-08-28 17:44:33 -07:00
parent 9922c766b9
commit e2f4fc2307
37 changed files with 809 additions and 1078 deletions

View file

@ -47,11 +47,11 @@ def_module_params('sat',
('threads', UINT, 1, 'number of parallel threads to use'),
('dimacs.core', BOOL, False, 'extract core from DIMACS benchmarks'),
('drat.disable', BOOL, False, 'override anything that enables DRAT'),
('smt.proof', SYMBOL, '', 'add SMT proof to file'),
('drat.file', SYMBOL, '', 'file to dump DRAT proofs'),
('drat.binary', BOOL, False, 'use Binary DRAT output format'),
('drat.check_unsat', BOOL, False, 'build up internal proof and check'),
('drat.check_sat', BOOL, False, 'build up internal trace, check satisfying model'),
('drup.trim', BOOL, False, 'build and trim drup proof'),
('drat.activity', BOOL, False, 'dump variable activities'),
('cardinality.solver', BOOL, True, 'use cardinality solver'),
('pb.solver', SYMBOL, 'solver', 'method for handling Pseudo-Boolean constraints: circuit (arithmetical circuit), sorting (sorting circuit), totalizer (use totalizer encoding), binary_merge, segmented, solver (use native solver)'),