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https://github.com/Z3Prover/z3
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20c54048f7
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@ -18,6 +18,7 @@ namespace nra {
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typedef nla::mon_eq mon_eq;
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typedef nla::mon_eq mon_eq;
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typedef nla::variable_map_type variable_map_type;
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typedef nla::variable_map_type variable_map_type;
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struct solver::imp {
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struct solver::imp {
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lp::lar_solver& lra;
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lp::lar_solver& lra;
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reslimit& m_limit;
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reslimit& m_limit;
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@ -128,7 +129,7 @@ struct solver::imp {
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// add polynomial definitions.
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// add polynomial definitions.
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for (auto const& m : m_mon_set)
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for (auto const& m : m_mon_set)
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add_monic_eq(m_nla_core.emons()[m]);
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add_monic_eq(m_nla_core.emons()[m]);
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// add term definitions.
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// add term definitions.
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for (unsigned i : m_term_set)
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for (unsigned i : m_term_set)
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@ -146,30 +147,31 @@ struct solver::imp {
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throw;
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throw;
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}
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}
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}
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}
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#if 0
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TRACE("nra",
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TRACE("nra",
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m_nlsat->display(tout << r << "\n");
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m_nlsat->display(tout << r << "\n");
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display(tout);
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display(tout);
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for (auto [j, x] : m_lp2nl) tout << "j" << j << " := x" << x << "\n";
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for (auto [j, x] : m_lp2nl) tout << "j" << j << " := x" << x << "\n";);
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);
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#endif
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switch (r) {
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switch (r) {
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case l_true:
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case l_true:
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m_nla_core.set_use_nra_model(true);
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m_nla_core.set_use_nra_model(true);
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lra.init_model();
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lra.init_model();
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for (lp::constraint_index ci : lra.constraints().indices())
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for (lp::constraint_index ci : lra.constraints().indices())
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if (!check_constraint(ci)) {
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if (!check_constraint(ci)) {
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IF_VERBOSE(0, verbose_stream() << "constraint " << ci << " violated\n";
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IF_VERBOSE(0, verbose_stream() << "constraint " << ci << " violated\n";
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lra.constraints().display(verbose_stream()));
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lra.constraints().display(verbose_stream()));
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UNREACHABLE();
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UNREACHABLE();
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return l_undef;
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return l_undef;
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}
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for (auto const& m : m_nla_core.emons()) {
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if (!check_monic(m)) {
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IF_VERBOSE(0, verbose_stream() << "monic " << m << " violated\n";
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lra.constraints().display(verbose_stream()));
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UNREACHABLE();
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return l_undef;
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}
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}
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}
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for (auto const& m : m_nla_core.emons()) {
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if (!check_monic(m)) {
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IF_VERBOSE(0, verbose_stream() << "monic " << m << " violated\n";
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lra.constraints().display(verbose_stream()));
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UNREACHABLE();
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return l_undef;
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}
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}
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break;
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break;
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case l_false: {
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case l_false: {
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lp::explanation ex;
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lp::explanation ex;
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@ -322,22 +324,22 @@ struct solver::imp {
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m_lp2nl.reset();
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m_lp2nl.reset();
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m_term_set.reset();
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m_term_set.reset();
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for (auto const& eq : eqs)
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for (auto const& eq : eqs)
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add_eq(*eq);
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add_eq(*eq);
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for (auto const& m : m_nla_core.emons())
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for (auto const& m : m_nla_core.emons())
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if (any_of(m.vars(), [&](lp::lpvar v) { return m_lp2nl.contains(v); }))
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if (any_of(m.vars(), [&](lp::lpvar v) { return m_lp2nl.contains(v); }))
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add_monic_eq_bound(m);
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add_monic_eq_bound(m);
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for (unsigned i : m_term_set)
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for (unsigned i : m_term_set)
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add_term(i);
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add_term(i);
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for (auto const& [v, w] : m_lp2nl) {
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for (auto const& [v, w] : m_lp2nl) {
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if (lra.column_has_lower_bound(v))
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if (lra.column_has_lower_bound(v))
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add_lb(lra.get_lower_bound(v), w, lra.get_column_lower_bound_witness(v));
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add_lb(lra.get_lower_bound(v), w, lra.get_column_lower_bound_witness(v));
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if (lra.column_has_upper_bound(v))
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if (lra.column_has_upper_bound(v))
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add_ub(lra.get_upper_bound(v), w, lra.get_column_upper_bound_witness(v));
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add_ub(lra.get_upper_bound(v), w, lra.get_column_upper_bound_witness(v));
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}
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}
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lbool r = l_undef;
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lbool r = l_undef;
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try {
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try {
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r = m_nlsat->check();
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r = m_nlsat->check();
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}
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}
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catch (z3_exception&) {
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catch (z3_exception&) {
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if (m_limit.is_canceled()) {
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if (m_limit.is_canceled()) {
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@ -355,7 +357,7 @@ struct solver::imp {
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for (lp::constraint_index ci : lra.constraints().indices())
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for (lp::constraint_index ci : lra.constraints().indices())
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if (!check_constraint(ci))
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if (!check_constraint(ci))
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return l_undef;
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return l_undef;
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for (auto const& m : m_nla_core.emons()) {
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for (auto const& m : m_nla_core.emons())
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if (!check_monic(m))
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if (!check_monic(m))
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return l_undef;
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return l_undef;
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break;
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break;
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@ -376,7 +378,6 @@ struct solver::imp {
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case l_undef:
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case l_undef:
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break;
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break;
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}
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}
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return r;
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return r;
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}
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}
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@ -389,7 +390,7 @@ struct solver::imp {
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for (auto const& eq : eqs)
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for (auto const& eq : eqs)
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add_eq(eq);
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add_eq(eq);
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for (auto const& m : m_nla_core.emons())
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for (auto const& m : m_nla_core.emons())
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add_monic_eq(m);
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add_monic_eq(m);
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for (auto const& [v, w] : m_lp2nl) {
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for (auto const& [v, w] : m_lp2nl) {
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if (lra.column_has_lower_bound(v))
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if (lra.column_has_lower_bound(v))
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add_lb(lra.get_lower_bound(v), w);
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add_lb(lra.get_lower_bound(v), w);
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@ -422,7 +423,6 @@ struct solver::imp {
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verbose_stream() << "x" << w << " <= " << lra.get_upper_bound(v) << "\n";
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verbose_stream() << "x" << w << " <= " << lra.get_upper_bound(v) << "\n";
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});
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});
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return r;
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return r;
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}
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}
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@ -439,13 +439,12 @@ struct solver::imp {
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normeq *= lc;
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normeq *= lc;
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::polynomial_ref p(pdd2polynomial(normeq), pm);
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polynomial::polynomial_ref p(pdd2polynomial(normeq), pm);
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bool is_even[1] = { false };
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bool is_even[1] = {false};
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polynomial::polynomial* ps[1] = { p };
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polynomial::polynomial* ps[1] = {p};
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nlsat::literal lit = m_nlsat->mk_ineq_literal(nlsat::atom::kind::EQ, 1, ps, is_even);
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nlsat::literal lit = m_nlsat->mk_ineq_literal(nlsat::atom::kind::EQ, 1, ps, is_even);
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m_nlsat->mk_clause(1, &lit, a);
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m_nlsat->mk_clause(1, &lit, a);
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}
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}
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void add_lb(lp::impq const& b, unsigned w, nlsat::assumption a = nullptr) {
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void add_lb(lp::impq const& b, unsigned w, nlsat::assumption a = nullptr) {
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::polynomial_ref p(pm.mk_polynomial(w), pm);
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polynomial::polynomial_ref p(pm.mk_polynomial(w), pm);
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@ -473,8 +472,8 @@ struct solver::imp {
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::polynomial_ref p2(pm.mk_const(bound), pm);
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polynomial::polynomial_ref p2(pm.mk_const(bound), pm);
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polynomial::polynomial_ref p(pm.sub(p1, p2), pm);
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polynomial::polynomial_ref p(pm.sub(p1, p2), pm);
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polynomial::polynomial* ps[1] = { p };
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polynomial::polynomial* ps[1] = {p};
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bool is_even[1] = { false };
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bool is_even[1] = {false};
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nlsat::literal lit = m_nlsat->mk_ineq_literal(k, 1, ps, is_even);
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nlsat::literal lit = m_nlsat->mk_ineq_literal(k, 1, ps, is_even);
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if (neg)
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if (neg)
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lit.neg();
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lit.neg();
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@ -503,6 +502,8 @@ struct solver::imp {
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return pm.add(lo, mp);
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return pm.add(lo, mp);
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}
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}
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bool is_int(lp::var_index v) {
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bool is_int(lp::var_index v) {
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return lra.var_is_int(v);
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return lra.var_is_int(v);
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}
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}
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@ -539,8 +540,8 @@ struct solver::imp {
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coeffs.push_back(-den);
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coeffs.push_back(-den);
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::manager& pm = m_nlsat->pm();
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polynomial::polynomial_ref p(pm.mk_linear(coeffs.size(), coeffs.data(), vars.data(), rational(0)), pm);
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polynomial::polynomial_ref p(pm.mk_linear(coeffs.size(), coeffs.data(), vars.data(), rational(0)), pm);
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polynomial::polynomial* ps[1] = { p };
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polynomial::polynomial* ps[1] = {p};
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bool is_even[1] = { false };
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bool is_even[1] = {false};
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nlsat::literal lit = m_nlsat->mk_ineq_literal(nlsat::atom::kind::EQ, 1, ps, is_even);
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nlsat::literal lit = m_nlsat->mk_ineq_literal(nlsat::atom::kind::EQ, 1, ps, is_even);
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m_nlsat->mk_clause(1, &lit, nullptr);
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m_nlsat->mk_clause(1, &lit, nullptr);
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}
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}
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@ -19,8 +19,6 @@ namespace lp {
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namespace nra {
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namespace nra {
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class solver {
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class solver {
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struct imp;
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struct imp;
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imp* m_imp;
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imp* m_imp;
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