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https://github.com/Z3Prover/z3
synced 2025-04-10 03:07:07 +00:00
prep for max/min diff
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@ -527,6 +527,19 @@ func_decl * array_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters
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return nullptr;
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}
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return mk_array_ext(arity, domain, parameters[0].get_int());
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case OP_ARRAY_MAXDIFF:
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case OP_ARRAY_MINDIFF: {
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if (num_parameters != 0)
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m_manager->raise_exception("min/maxdiff don't take any parameters");
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if (arity != 2 || domain[0] != domain[1] || !is_array_sort(domain[0]) || 1 != get_array_arity(domain[0]))
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m_manager->raise_exception("min/maxdiff don't take two arrays of same sort and with integer index");
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sort* idx = get_array_domain(domain[0], 0);
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arith_util arith(*m_manager);
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if (!arith.is_int(domain[0]))
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m_manager->raise_exception("min/maxdiff take integer index domain");
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return m_manager->mk_func_decl(k == OP_ARRAY_MAXDIFF ? symbol("maxdiff") : symbol("mindiff"),
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arity, domain, arith.mk_int(), func_decl_info(m_family_id, k));
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}
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case OP_ARRAY_DEFAULT:
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return mk_default(arity, domain);
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case OP_SET_UNION:
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@ -587,6 +600,13 @@ void array_decl_plugin::get_op_names(svector<builtin_name>& op_names, symbol con
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op_names.push_back(builtin_name("subset",OP_SET_SUBSET));
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op_names.push_back(builtin_name("as-array", OP_AS_ARRAY));
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op_names.push_back(builtin_name("array-ext", OP_ARRAY_EXT));
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#if 0
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// not exposed
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op_names.push_back(builtin_name("mindiff", OP_ARRAY_MINDIFF));
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op_names.push_back(builtin_name("maxdiff", OP_ARRAY_MAXDIFF));
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#endif
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#if 0
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op_names.push_back(builtin_name("set-has-size", OP_SET_HAS_SIZE));
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op_names.push_back(builtin_name("card", OP_SET_CARD));
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@ -45,6 +45,8 @@ enum array_op_kind {
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OP_ARRAY_EXT,
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OP_ARRAY_DEFAULT,
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OP_ARRAY_MAP,
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OP_ARRAY_MAXDIFF,
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OP_ARRAY_MINDIFF,
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OP_SET_UNION,
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OP_SET_INTERSECT,
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OP_SET_DIFFERENCE,
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@ -157,6 +159,8 @@ public:
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bool is_complement(expr* n) const { return is_app_of(n, m_fid, OP_SET_COMPLEMENT); }
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bool is_as_array(expr * n) const { return is_app_of(n, m_fid, OP_AS_ARRAY); }
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bool is_as_array(expr * n, func_decl*& f) const { return is_as_array(n) && (f = get_as_array_func_decl(n), true); }
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bool is_maxdiff(expr const* n) const { return is_app_of(n, m_fid, OP_ARRAY_MAXDIFF); }
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bool is_mindiff(expr const* n) const { return is_app_of(n, m_fid, OP_ARRAY_MINDIFF); }
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bool is_set_has_size(expr* e) const { return is_app_of(e, m_fid, OP_SET_HAS_SIZE); }
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bool is_set_card(expr* e) const { return is_app_of(e, m_fid, OP_SET_CARD); }
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bool is_select(func_decl* f) const { return is_decl_of(f, m_fid, OP_SELECT); }
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@ -182,6 +186,8 @@ public:
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bool is_store_ext(expr* e, expr_ref& a, expr_ref_vector& args, expr_ref& value);
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MATCH_BINARY(is_subset);
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MATCH_BINARY(is_maxdiff);
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MATCH_BINARY(is_mindiff);
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};
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class array_util : public array_recognizers {
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@ -59,13 +59,15 @@ namespace array {
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axiom_record& r = m_axiom_trail[idx];
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switch (r.m_kind) {
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case axiom_record::kind_t::is_store:
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return assert_store_axiom(to_app(r.n->get_expr()));
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return assert_store_axiom(r.n->get_app());
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case axiom_record::kind_t::is_select:
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return assert_select(idx, r);
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case axiom_record::kind_t::is_default:
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return assert_default(r);
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case axiom_record::kind_t::is_extensionality:
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return assert_extensionality(r.n->get_expr(), r.select->get_expr());
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case axiom_record::kind_t::is_diff:
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return assert_diff(r.n->get_app());
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case axiom_record::kind_t::is_congruence:
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return assert_congruent_axiom(r.n->get_expr(), r.select->get_expr());
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default:
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@ -273,6 +275,54 @@ namespace array {
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return add_clause(lit1, ~lit2);
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}
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/**
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* a = b or default(a) != default(b) or a[md(a,b)] != b[md(a,b)]
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*/
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bool solver::assert_diff(expr* md) {
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expr* x, *y;
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SASSERT(a.is_maxdiff(md, x, y) || a.is_mindiff(md, x, y));
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expr* args1[2] = { x, md };
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expr* args2[2] = { y, md };
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literal eq = eq_internalize(x, y);
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literal eq_default = eq_internalize(a.mk_default(x), a.mk_default(y));
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literal eq_md = eq_internalize(a.mk_select(2, args1), a.mk_select(2, args2));
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return add_clause(eq, ~eq_default, ~eq_md);
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}
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/**
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* a = b and a[i] != c[i] => i <= md(b, c) or default(b) != default(c)
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* a = c and a[i] != b[i] => i <= md(b, c) or default(b) != default(c)
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* where ai = a[i], md = md(b, c)
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*/
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bool solver::assert_diff_select(app* ai, app* md) {
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SASSERT(a.is_select(ai));
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SASSERT(ai->get_num_args() == 2);
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expr* A = ai->get_arg(0);
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expr* i = ai->get_arg(1);
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expr* B = md->get_arg(0);
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expr* C = md->get_arg(1);
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literal eq_default = eq_internalize(a.mk_default(B), a.mk_default(C));
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arith_util autil(m);
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literal ineq = mk_literal(autil.mk_le(i, md));
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bool is_new = false;
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if (ctx.get_enode(A)->get_root() == ctx.get_enode(B)->get_root()) {
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literal eq_ab = eq_internalize(A, B);
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expr* args[2] = { C, i };
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literal eq_select = eq_internalize(ai, a.mk_select(2, args));
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if (add_clause(~eq_ab, eq_select, ineq, ~eq_default))
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is_new = true;
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}
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if (ctx.get_enode(A)->get_root() == ctx.get_enode(C)->get_root()) {
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literal eq_ac = eq_internalize(A, C);
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expr* args[2] = { B, i };
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literal eq_select = eq_internalize(ai, a.mk_select(2, args));
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if (add_clause(~eq_ac, eq_select, ineq, ~eq_default))
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is_new = true;
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}
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return is_new;
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}
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bool solver::is_map_combinator(expr* map) const {
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return a.is_map(map) || a.is_union(map) || a.is_intersect(map) || a.is_difference(map) || a.is_complement(map);
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}
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@ -99,7 +99,8 @@ namespace array {
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}
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void solver::internalize_eh(euf::enode* n) {
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switch (n->get_decl()->get_decl_kind()) {
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auto k = n->get_decl()->get_decl_kind();
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switch (k) {
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case OP_STORE:
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ctx.push_vec(get_var_data(find(n)).m_lambdas, n);
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push_axiom(store_axiom(n));
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@ -114,6 +115,10 @@ namespace array {
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SASSERT(is_array(n->get_arg(0)));
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push_axiom(extensionality_axiom(n->get_arg(0), n->get_arg(1)));
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break;
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case OP_ARRAY_MINDIFF:
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case OP_ARRAY_MAXDIFF:
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push_axiom(diff_axiom(n));
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break;
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case OP_ARRAY_DEFAULT:
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add_parent_default(find(n->get_arg(0)), n);
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break;
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@ -169,6 +174,10 @@ namespace array {
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break;
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case OP_ARRAY_EXT:
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break;
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case OP_ARRAY_MINDIFF:
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case OP_ARRAY_MAXDIFF:
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// todo
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break;
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case OP_ARRAY_DEFAULT:
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set_prop_upward(find(n->get_arg(0)));
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break;
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@ -83,6 +83,8 @@ namespace array {
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is_store,
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is_select,
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is_extensionality,
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is_diff,
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is_diffselect,
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is_default,
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is_congruence
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};
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@ -163,6 +165,8 @@ namespace array {
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axiom_record store_axiom(euf::enode* n) { return axiom_record(axiom_record::kind_t::is_store, n); }
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axiom_record extensionality_axiom(euf::enode* x, euf::enode* y) { return axiom_record(axiom_record::kind_t::is_extensionality, x, y); }
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axiom_record congruence_axiom(euf::enode* a, euf::enode* b) { return axiom_record(axiom_record::kind_t::is_congruence, a, b); }
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axiom_record diff_axiom(euf::enode* md) { return axiom_record(axiom_record::kind_t::is_diff, md); }
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axiom_record diff_select_axiom(euf::enode* ai, euf::enode* md) { return axiom_record(axiom_record::kind_t::is_diffselect, ai, md); }
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scoped_ptr<sat::constraint_base> m_constraint;
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@ -175,6 +179,8 @@ namespace array {
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bool assert_select_map_axiom(app* select, app* map);
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bool assert_select_lambda_axiom(app* select, expr* lambda);
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bool assert_extensionality(expr* e1, expr* e2);
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bool assert_diff(expr* md);
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bool assert_diff_select(app* ai, app* md);
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bool assert_default_map_axiom(app* map);
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bool assert_default_const_axiom(app* cnst);
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bool assert_default_store_axiom(app* store);
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