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update proof formats for new core

- update proof format for quantifier instantiation to track original literals
- update proof replay tools with ability to extract proof object

The formats and features are subject to heavy revisions.

Example
```
(set-option :sat.euf true)
(set-option :sat.smt.proof eufproof.smt2)
(declare-fun f (Int) Int)
(declare-const x Int)
(assert (or (= (f (f (f x))) x) (= (f (f x)) x)))
(assert (not (= (f (f (f (f (f (f x)))))) x)))
(check-sat)
```

eufproof.smt2 is:
```
(declare-fun x () Int)
(declare-fun f (Int) Int)
(define-const $24 Int (f x))
(define-const $25 Int (f $24))
(define-const $26 Int (f $25))
(define-const $27 Bool (= $26 x))
(define-const $28 Bool (= $25 x))
(assume $27 $28)
(define-const $30 Int (f $26))
(define-const $31 Int (f $30))
(define-const $32 Int (f $31))
(define-const $33 Bool (= $32 x))
(assume (not $33))
(declare-fun rup () Proof)
(infer (not $33) rup)
(declare-fun euf (Bool Bool Proof Proof Proof Proof) Proof)
(declare-fun cc (Bool) Proof)
(define-const $42 Bool (= $32 $30))
(define-const $43 Proof (cc $42))
(define-const $40 Bool (= $31 $24))
(define-const $41 Proof (cc $40))
(define-const $38 Bool (= $30 $25))
(define-const $39 Proof (cc $38))
(define-const $36 Bool (= $24 $26))
(define-const $37 Proof (cc $36))
(define-const $34 Bool (not $33))
(define-const $44 Proof (euf $34 $28 $37 $39 $41 $43))
(infer (not $28) $33 $44)
(infer (not $28) rup)
(infer $27 rup)
(declare-fun euf (Bool Bool Proof Proof Proof) Proof)
(define-const $49 Bool (= $32 $26))
(define-const $50 Proof (cc $49))
(define-const $47 Bool (= $31 $25))
(define-const $48 Proof (cc $47))
(define-const $45 Bool (= $24 $30))
(define-const $46 Proof (cc $45))
(define-const $51 Proof (euf $34 $27 $46 $48 $50))
(infer $33 $51)
(infer rup)
```

Example of inspecting proof from Python:

```
from z3 import *

def parse(file):
    s = Solver()
    set_option("solver.proof.save", True)
    set_option("solver.proof.check", False)
    s.from_file(file)
    for step in s.proof().children():
        print(step)

parse("../eufproof.smt2")
```

Proof checking (self-validation) is on by default.
Proof saving is off by default.

You can use the proof logs and the proof terms to retrieve quantifier instantiations from the new core.

The self-checker contains a few built-in tuned checkers but falls back to self-checking inferred clauses using SMT.
This commit is contained in:
Nikolaj Bjorner 2022-09-28 10:40:43 -07:00
parent 9782d4a730
commit 107981f099
40 changed files with 295 additions and 153 deletions

View file

@ -27,6 +27,7 @@ Revision History:
#include "solver/solver_na2as.h"
#include "muz/fp/dl_cmds.h"
#include "opt/opt_cmds.h"
#include "cmd_context/extra_cmds/proof_cmds.h"
@ -42,6 +43,7 @@ extern "C" {
ast_manager& m = c.m();
ctx = alloc(cmd_context, false, &(m));
install_dl_cmds(*ctx.get());
install_proof_cmds(*ctx.get());
install_opt_cmds(*ctx.get());
install_smt2_extra_cmds(*ctx.get());
ctx->register_plist();
@ -175,6 +177,7 @@ extern "C" {
ast_manager& m = mk_c(c)->m();
scoped_ptr<cmd_context> ctx = alloc(cmd_context, false, &(m));
install_dl_cmds(*ctx.get());
install_proof_cmds(*ctx.get());
install_opt_cmds(*ctx.get());
install_smt2_extra_cmds(*ctx.get());
ctx->register_plist();
@ -233,6 +236,7 @@ extern "C" {
auto* ctx = alloc(cmd_context, false, &(mk_c(c)->m()));
mk_c(c)->cmd() = ctx;
install_dl_cmds(*ctx);
install_proof_cmds(*ctx);
install_opt_cmds(*ctx);
install_smt2_extra_cmds(*ctx);
ctx->register_plist();

View file

@ -43,6 +43,7 @@ Revision History:
#include "sat/sat_solver.h"
#include "sat/tactic/goal2sat.h"
#include "sat/tactic/sat2goal.h"
#include "cmd_context/extra_cmds/proof_cmds.h"
extern "C" {
@ -257,8 +258,10 @@ extern "C" {
void solver_from_stream(Z3_context c, Z3_solver s, std::istream& is) {
auto& solver = *to_solver(s);
if (!solver.m_cmd_context)
if (!solver.m_cmd_context) {
solver.m_cmd_context = alloc(cmd_context, false, &(mk_c(c)->m()));
install_proof_cmds(*solver.m_cmd_context);
}
auto& ctx = solver.m_cmd_context;
ctx->set_ignore_check(true);
std::stringstream errstrm;
@ -270,6 +273,7 @@ extern "C" {
return;
}
bool initialized = to_solver(s)->m_solver.get() != nullptr;
if (!initialized)
init_solver(c, s);
@ -277,6 +281,10 @@ extern "C" {
to_solver(s)->assert_expr(e);
ctx->reset_tracked_assertions();
to_solver_ref(s)->set_model_converter(ctx->get_model_converter());
auto* ctx_s = ctx->get_solver();
if (ctx_s && ctx_s->get_proof())
to_solver_ref(s)->set_proof(ctx_s->get_proof());
}
static void solver_from_dimacs_stream(Z3_context c, Z3_solver s, std::istream& is) {