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https://github.com/Z3Prover/z3
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parent
a09ed766f5
commit
c4c235e9d7
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@ -105,23 +105,60 @@ namespace smt {
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class dyn_ack_eq_justification : public justification {
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app * m_app1;
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app * m_app2;
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app * m_r;
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app * m_eq1;
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app * m_eq2;
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app * m_eq3;
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public:
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dyn_ack_eq_justification(app * n1, app * n2):
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dyn_ack_eq_justification(app * n1, app * n2, app* r, app* eq1, app* eq2, app* eq3):
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justification(false), // dyn_ack_cc_justifications are not stored in regions.
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m_app1(n1),
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m_app2(n2) {
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m_app2(n2),
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m_r(r),
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m_eq1(eq1),
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m_eq2(eq2),
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m_eq3(eq3) {
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}
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char const * get_name() const override { return "dyn-ack-eq"; }
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void get_antecedents(conflict_resolution & cr) override {}
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void display_debug_info(conflict_resolution & cr, std::ostream & out) override {
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ast_manager & m = cr.get_manager();
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out << "m_app1:\n" << mk_pp(m_app1, m) << "\n";
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out << "m_app2:\n" << mk_pp(m_app2, m) << "\n";
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out << mk_pp(m_eq1, m) << " " << mk_pp(m_eq2, m) << " => " << mk_pp(m_eq3, m) << "\n";
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}
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proof * mk_proof(conflict_resolution & cr) override {
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/**
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* Create a proof of (or ~eq1 ~eq2 eq3)
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* eq1 := app1 = r or symmetric
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* eq2 := app2 = r or symmetric
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* eq3 := app1 = app2 or symmetric
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*
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* p1: trans: hyp(eq1), hyp(eq2) |- eq3
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* p2: unit-resolution: p1, hyp(~eq3) |- false
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* p3: lemma: (or ~eq1 ~eq2 eq3)
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*/
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proof * mk_proof(conflict_resolution & cr) override {
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ast_manager & m = cr.get_manager();
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return m.mk_symmetry(m.mk_eq(m_app1, m_app2));
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proof* p1, *p2, *p3, *p4, *p5, *p6;
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expr* x = nullptr, *y = nullptr;
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(void)x; (void)y;
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p1 = m.mk_hypothesis(m_eq1);
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if (m_eq1->get_arg(1) == m_app1) p1 = m.mk_symmetry(p1);
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p2 = m.mk_hypothesis(m_eq2);
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if (m_eq2->get_arg(0) == m_app2) p2 = m.mk_symmetry(p2);
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SASSERT(m.is_eq(m.get_fact(p1), x, y) && x == m_app1 && y == m_r);
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SASSERT(m.is_eq(m.get_fact(p2), x, y) && x == m_r && y == m_app2);
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p3 = m.mk_transitivity(p1, p2);
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SASSERT(m.is_eq(m.get_fact(p3), x, y) && x == m_app1 && y == m_app2);
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if (m.get_fact(p3) != m_eq3) p3 = m.mk_symmetry(p3);
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SASSERT(m.get_fact(p3) == m_eq3);
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p4 = m.mk_hypothesis(m.mk_not(m_eq3));
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proof* ps[2] = { p3, p4 };
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p5 = m.mk_unit_resolution(2, ps);
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SASSERT(m.get_fact(p5) == m.mk_false());
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expr* eqs[3] = { m.mk_not(m_eq1), m.mk_not(m_eq2), m_eq3 };
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expr_ref conclusion(m.mk_or(3, eqs), m);
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p6 = m.mk_lemma(p5, conclusion);
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return p6;
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}
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};
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@ -421,9 +458,10 @@ namespace smt {
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}
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void dyn_ack_manager::instantiate(app * n1, app * n2, app* r) {
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context& ctx = m_context;
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SASSERT(m_params.m_dack != DACK_DISABLED);
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SASSERT(n1 != n2 && n1 != r && n2 != r);
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m_context.m_stats.m_num_dyn_ack++;
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ctx.m_stats.m_num_dyn_ack++;
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TRACE("dyn_ack_inst", tout << "dyn_ack: " << n1->get_id() << " " << n2->get_id() << " " << r->get_id() << "\n";);
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TRACE("dyn_ack", tout << "expanding Ackermann's rule for:\n" << mk_pp(n1, m) << "\n"
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<< mk_pp(n2, m) << "\n"
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@ -435,19 +473,26 @@ namespace smt {
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// pair n1,n2 is still in m_triple.m_apps
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m_triple.m_instantiated.insert(tr);
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literal_buffer lits;
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lits.push_back(~mk_eq(n1, r));
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lits.push_back(~mk_eq(n2, r));
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lits.push_back(mk_eq(n1, n2));
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literal eq1 = mk_eq(n1, r);
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literal eq2 = mk_eq(n2, r);
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literal eq3 = mk_eq(n1, n2);
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lits.push_back(~eq1);
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lits.push_back(~eq2);
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lits.push_back(eq3);
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clause_del_eh * del_eh = alloc(dyn_ack_clause_del_eh, *this);
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justification * js = nullptr;
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if (m.proofs_enabled())
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js = alloc(dyn_ack_eq_justification, n1, n2);
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clause * cls = m_context.mk_clause(lits.size(), lits.c_ptr(), js, CLS_TH_LEMMA, del_eh);
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if (m.proofs_enabled()) {
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js = alloc(dyn_ack_eq_justification, n1, n2, r,
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to_app(ctx.bool_var2expr(eq1.var())),
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to_app(ctx.bool_var2expr(eq2.var())),
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to_app(ctx.bool_var2expr(eq3.var())));
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}
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clause * cls = ctx.mk_clause(lits.size(), lits.c_ptr(), js, CLS_TH_LEMMA, del_eh);
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if (!cls) {
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dealloc(del_eh);
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return;
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}
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TRACE("dyn_ack_clause", tout << "new clause:\n"; m_context.display_clause_detail(tout, cls); tout << "\n";);
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TRACE("dyn_ack_clause", ctx.display_clause_detail(tout << "new clause:\n", cls); tout << "\n";);
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m_triple.m_clause2apps.insert(cls, tr);
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}
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