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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) ```
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37 changed files with 809 additions and 1078 deletions
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@ -264,11 +264,12 @@ namespace arith {
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SASSERT(k1 != k2 || kind1 != kind2);
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auto bin_clause = [&](sat::literal l1, sat::literal l2) {
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sat::proof_hint* bound_params = nullptr;
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arith_proof_hint* bound_params = nullptr;
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if (ctx.use_drat()) {
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bound_params = &m_farkas2;
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m_farkas2.m_literals[0] = std::make_pair(rational(1), ~l1);
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m_farkas2.m_literals[1] = std::make_pair(rational(1), ~l2);
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m_arith_hint.set_type(ctx, hint_type::farkas_h);
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m_arith_hint.add_lit(rational(1), ~l1);
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m_arith_hint.add_lit(rational(1), ~l2);
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bound_params = m_arith_hint.mk(ctx);
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}
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add_clause(l1, l2, bound_params);
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};
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