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https://github.com/Z3Prover/z3
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exposing facility to extract dependent clauses
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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@ -23,6 +23,66 @@ Notes:
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#include"smt_params_helper.hpp"
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#include"rewriter_types.h"
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#include"filter_model_converter.h"
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#include"ast_util.h"
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typedef obj_map<expr, expr *> expr2expr_map;
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void extract_clauses_and_dependencies(goal_ref const& g, expr_ref_vector& clauses, ptr_vector<expr>& assumptions, scoped_ptr<expr2expr_map>& bool2dep, ref<filter_model_converter>& fmc) {
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scoped_ptr<expr2expr_map> dep2bool;
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dep2bool = alloc(expr2expr_map);
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bool2dep = alloc(expr2expr_map);
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ptr_vector<expr> deps;
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ast_manager& m = g->m();
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expr_ref_vector clause(m);
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unsigned sz = g->size();
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for (unsigned i = 0; i < sz; i++) {
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expr * f = g->form(i);
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expr_dependency * d = g->dep(i);
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if (d == 0) {
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clauses.push_back(f);
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}
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else {
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// create clause (not d1 \/ ... \/ not dn \/ f) when the d's are the assumptions/dependencies of f.
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clause.reset();
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clause.push_back(f);
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deps.reset();
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m.linearize(d, deps);
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SASSERT(!deps.empty()); // d != 0, then deps must not be empty
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ptr_vector<expr>::iterator it = deps.begin();
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ptr_vector<expr>::iterator end = deps.end();
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for (; it != end; ++it) {
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expr * d = *it;
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if (is_uninterp_const(d) && m.is_bool(d)) {
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// no need to create a fresh boolean variable for d
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if (!bool2dep->contains(d)) {
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assumptions.push_back(d);
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bool2dep->insert(d, d);
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}
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clause.push_back(m.mk_not(d));
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}
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else {
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// must normalize assumption
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expr * b = 0;
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if (!dep2bool->find(d, b)) {
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b = m.mk_fresh_const(0, m.mk_bool_sort());
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dep2bool->insert(d, b);
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bool2dep->insert(b, d);
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assumptions.push_back(b);
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if (!fmc) {
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fmc = alloc(filter_model_converter, m);
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}
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fmc->insert(to_app(b)->get_decl());
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}
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clause.push_back(m.mk_not(b));
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}
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}
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SASSERT(clause.size() > 1);
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expr_ref cls(m);
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cls = mk_or(m, clauses.size(), clauses.c_ptr());
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clauses.push_back(cls);
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}
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}
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}
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class smt_tactic : public tactic {
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smt_params m_params;
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@ -128,7 +188,6 @@ public:
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}
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};
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typedef obj_map<expr, expr *> expr2expr_map;
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virtual void operator()(goal_ref const & in,
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goal_ref_buffer & result,
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@ -147,65 +206,17 @@ public:
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TRACE("smt_tactic_memory", tout << "wasted_size: " << m.get_allocator().get_wasted_size() << "\n";);
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scoped_init_ctx init(*this, m);
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SASSERT(m_ctx != 0);
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scoped_ptr<expr2expr_map> dep2bool;
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scoped_ptr<expr2expr_map> bool2dep;
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ptr_vector<expr> assumptions;
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expr_ref_vector clauses(m);
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scoped_ptr<expr2expr_map> bool2dep;
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ptr_vector<expr> assumptions;
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ref<filter_model_converter> fmc;
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if (in->unsat_core_enabled()) {
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if (in->proofs_enabled())
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throw tactic_exception("smt tactic does not support simultaneous generation of proofs and unsat cores");
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dep2bool = alloc(expr2expr_map);
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bool2dep = alloc(expr2expr_map);
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ptr_vector<expr> deps;
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ptr_vector<expr> clause;
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unsigned sz = in->size();
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for (unsigned i = 0; i < sz; i++) {
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expr * f = in->form(i);
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expr_dependency * d = in->dep(i);
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if (d == 0) {
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m_ctx->assert_expr(f);
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}
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else {
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// create clause (not d1 \/ ... \/ not dn \/ f) when the d's are the assumptions/dependencies of f.
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clause.reset();
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clause.push_back(f);
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deps.reset();
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m.linearize(d, deps);
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SASSERT(!deps.empty()); // d != 0, then deps must not be empty
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ptr_vector<expr>::iterator it = deps.begin();
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ptr_vector<expr>::iterator end = deps.end();
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for (; it != end; ++it) {
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expr * d = *it;
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if (is_uninterp_const(d) && m.is_bool(d)) {
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// no need to create a fresh boolean variable for d
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if (!bool2dep->contains(d)) {
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assumptions.push_back(d);
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bool2dep->insert(d, d);
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}
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clause.push_back(m.mk_not(d));
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}
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else {
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// must normalize assumption
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expr * b = 0;
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if (!dep2bool->find(d, b)) {
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b = m.mk_fresh_const(0, m.mk_bool_sort());
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dep2bool->insert(d, b);
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bool2dep->insert(b, d);
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assumptions.push_back(b);
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if (!fmc) {
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fmc = alloc(filter_model_converter, m);
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}
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fmc->insert(to_app(b)->get_decl());
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}
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clause.push_back(m.mk_not(b));
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}
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}
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SASSERT(clause.size() > 1);
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expr_ref cls(m);
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cls = m.mk_or(clause.size(), clause.c_ptr());
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m_ctx->assert_expr(cls);
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}
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extract_clauses_and_dependencies(in, clauses, assumptions, bool2dep, fmc);
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for (unsigned i = 0; i < clauses.size(); ++i) {
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m_ctx->assert_expr(clauses[i].get());
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}
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}
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else if (in->proofs_enabled()) {
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@ -20,15 +20,21 @@ Notes:
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#define _SMT_TACTIC_H_
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#include"params.h"
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#include"ast.h"
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#include"obj_hashtable.h"
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#include"goal.h"
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class tactic;
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class filter_model_converter;
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tactic * mk_smt_tactic(params_ref const & p = params_ref());
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// syntax sugar for using_params(mk_smt_tactic(), p) where p = (:auto_config, auto_config)
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tactic * mk_smt_tactic_using(bool auto_config = true, params_ref const & p = params_ref());
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void extract_clauses_and_dependencies(goal_ref const& g, expr_ref_vector& clauses, ptr_vector<expr>& assumptions, scoped_ptr<obj_map<expr, expr*> >& bool2dep, ref<filter_model_converter>& fmc);
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/*
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ADD_TACTIC("smt", "apply a SAT based SMT solver.", "mk_smt_tactic(p)")
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*/
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#endif
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@ -115,8 +115,6 @@ public:
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arith_util & u() { return m_owner.m_util; }
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bool produce_proofs() const { return m_owner.m_produce_proofs; }
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expr * mk_interface_var(expr* arg) {
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expr* r;
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if (m_interface_cache.find(arg, r)) {
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return is_app(e) && (to_app(e)->get_family_id() == u().get_family_id());
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}
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void mk_interface_bool(func_decl * f, unsigned num, expr* const* args, expr_ref& result) {
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void mk_interface_bool(func_decl * f, unsigned num, expr* const* args, expr_ref& result, proof_ref& pr) {
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expr_ref old_pred(m.mk_app(f, num, args), m);
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polarity_t pol;
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VERIFY(m_polarities.find(old_pred, pol));
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@ -154,10 +152,13 @@ public:
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m_new_preds.push_back(to_app(result));
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m_owner.m_fmc->insert(to_app(result)->get_decl());
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if (pol != pol_neg) {
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m_owner.m_nl_g->assert_expr(m.mk_or(m.mk_not(result), m.mk_app(f, num, args)));
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m_owner.m_nl_g->assert_expr(m.mk_or(m.mk_not(result), old_pred));
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}
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if (pol != pol_pos) {
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m_owner.m_nl_g->assert_expr(m.mk_or(result, m.mk_not(m.mk_app(f, num, args))));
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m_owner.m_nl_g->assert_expr(m.mk_or(result, m.mk_not(old_pred)));
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}
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if (m_owner.m_produce_proofs) {
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pr = m.mk_oeq(old_pred, result);
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}
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TRACE("nlsat_smt", tout << old_pred << " : " << result << "\n";);
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}
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br_status reduce_app_bool(func_decl * f, unsigned num, expr* const* args, expr_ref& result, proof_ref & pr) {
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if (f->get_family_id() == m.get_basic_family_id()) {
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if (f->get_decl_kind() == OP_EQ && u().is_real(args[0])) {
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mk_interface_bool(f, num, args, result);
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mk_interface_bool(f, num, args, result, pr);
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return BR_DONE;
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}
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else {
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switch (f->get_decl_kind()) {
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case OP_LE: case OP_GE: case OP_LT: case OP_GT:
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// these are the only real cases of non-linear atomic formulas besides equality.
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mk_interface_bool(f, num, args, result);
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mk_interface_bool(f, num, args, result, pr);
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return BR_DONE;
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default:
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return BR_FAILED;
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bool is_arith_op(expr* e) {
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return is_app(e) && to_app(e)->get_family_id() == u().get_family_id();
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}
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br_status reduce_app_real(func_decl * f, unsigned num, expr* const* args, expr_ref& result, proof_ref & pr) {
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bool has_interface = false;
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bool is_arith = false;
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if (f->get_family_id() == u().get_family_id()) {
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switch (f->get_decl_kind()) {
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case OP_NUM: case OP_IRRATIONAL_ALGEBRAIC_NUM:
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case OP_NUM:
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case OP_IRRATIONAL_ALGEBRAIC_NUM:
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return BR_FAILED;
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default:
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is_arith = true;
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}
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if (has_interface) {
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result = m.mk_app(f, num, m_args.c_ptr());
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if (m_owner.m_produce_proofs) {
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pr = m.mk_oeq(m.mk_app(f, num, args), result); // push proof object to mk_interface_var?
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}
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TRACE("nlsat_smt", tout << result << "\n";);
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return BR_DONE;
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}
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}
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};
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arith_util & u() { return m_util; }
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void check_point() {
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r.set_bool_mode();
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rewrite_goal(r, g);
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g->inc_depth();
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for (unsigned i = 0; i < g->size(); ++i) {
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m_solver->assert_expr(g->form(i));
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}
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tactic * mk_nl_purify_tactic(ast_manager& m, params_ref const& p) {
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return alloc(nl_purify_tactic, m, p);
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}
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#if 0
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void mark_interface_vars(goal_ref const& g) {
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expr_mark visited;
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ptr_vector<expr> todo;
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unsigned sz = g->size();
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for (unsigned i = 0; i < sz; i++) {
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todo.push_back(g->form(i));
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}
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while (!todo.empty()) {
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expr* e = todo.back();
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todo.pop_back();
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if (visited.is_marked(e)) {
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continue;
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}
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visited.mark(e);
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if (is_quantifier(e)) {
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todo.push_back(to_quantifier(e)->get_expr());
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continue;
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}
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if (is_var(e)) {
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continue;
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}
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app* ap = to_app(e);
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sz = ap->get_num_args();
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bool is_arith = is_arith_op(e);
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for (unsigned i = 0; i < sz; ++i) {
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expr* arg = ap->get_arg(i);
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todo.push_back(arg);
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if (is_arith && !is_arith_op(arg)) {
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m_interface_vars.mark(arg);
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}
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else if (!is_arith && is_arith_op(arg) && ap->get_family_id() != m.get_basic_family_id()) {
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m_interface_vars.mark(arg);
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}
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}
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}
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}
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#endif
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