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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.
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40 changed files with 295 additions and 153 deletions
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@ -48,7 +48,6 @@ Notes:
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// incremental SAT solver.
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class inc_sat_solver : public solver {
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ast_manager& m;
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mutable sat::solver m_solver;
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stacked_value<bool> m_has_uninterpreted;
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goal2sat m_goal2sat;
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@ -87,7 +86,7 @@ class inc_sat_solver : public solver {
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bool is_internalized() const { return m_fmls_head == m_fmls.size(); }
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public:
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inc_sat_solver(ast_manager& m, params_ref const& p, bool incremental_mode):
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m(m),
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solver(m),
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m_solver(p, m.limit()),
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m_has_uninterpreted(false),
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m_fmls(m),
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@ -405,7 +404,7 @@ public:
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return result;
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}
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proof * get_proof() override {
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proof * get_proof_core() override {
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return nullptr;
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}
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