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https://github.com/Z3Prover/z3
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indentation
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b9ddb11701
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2 changed files with 97 additions and 83 deletions
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@ -51,6 +51,9 @@ namespace arith {
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vector<row> m_eqs;
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vector<row> m_eqs;
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vector<row> m_ineqs;
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vector<row> m_ineqs;
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vector<row> m_diseqs;
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vector<row> m_diseqs;
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symbol m_farkas;
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symbol m_implied_eq;
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symbol m_bound;
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void add(row& r, expr* v, rational const& coeff) {
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void add(row& r, expr* v, rational const& coeff) {
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rational coeff1;
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rational coeff1;
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@ -147,6 +150,8 @@ namespace arith {
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m_todo.push_back({coeff*coeff1, e2});
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m_todo.push_back({coeff*coeff1, e2});
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else if (a.is_mul(e, e1, e2) && a.is_uminus(e1, e3) && a.is_numeral(e3, coeff1))
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else if (a.is_mul(e, e1, e2) && a.is_uminus(e1, e3) && a.is_numeral(e3, coeff1))
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m_todo.push_back({-coeff*coeff1, e2});
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m_todo.push_back({-coeff*coeff1, e2});
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else if (a.is_mul(e, e1, e2) && a.is_uminus(e2, e3) && a.is_numeral(e3, coeff1))
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m_todo.push_back({ -coeff * coeff1, e1 });
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else if (a.is_mul(e, e1, e2) && a.is_numeral(e2, coeff1))
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else if (a.is_mul(e, e1, e2) && a.is_numeral(e2, coeff1))
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m_todo.push_back({coeff*coeff1, e1});
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m_todo.push_back({coeff*coeff1, e1});
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else if (a.is_add(e))
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else if (a.is_add(e))
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@ -310,9 +315,13 @@ namespace arith {
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return rows.back();
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return rows.back();
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}
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}
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public:
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public:
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proof_checker(ast_manager& m): m(m), a(m) {}
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proof_checker(ast_manager& m):
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m(m),
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a(m),
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m_farkas("farkas"),
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m_implied_eq("implied-eq"),
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m_bound("bound") {}
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~proof_checker() override {}
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~proof_checker() override {}
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@ -328,6 +337,7 @@ namespace arith {
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bool add_ineq(rational const& coeff, expr* e, bool sign) {
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bool add_ineq(rational const& coeff, expr* e, bool sign) {
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if (!m_diseqs.empty())
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if (!m_diseqs.empty())
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return add_literal(fresh(m_ineqs), abs(coeff), e, sign);
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return add_literal(fresh(m_ineqs), abs(coeff), e, sign);
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else
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return add_literal(m_ineq, abs(coeff), e, sign);
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return add_literal(m_ineq, abs(coeff), e, sign);
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}
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}
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@ -374,10 +384,17 @@ namespace arith {
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else
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else
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pos.mark(e, true);
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pos.mark(e, true);
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if (jst->get_name() == symbol("farkas")) {
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if (jst->get_name() != m_farkas &&
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jst->get_name() != m_bound &&
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jst->get_name() != m_implied_eq) {
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IF_VERBOSE(0, verbose_stream() << "unhandled inference " << mk_pp(jst, m) << "\n");
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return false;
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}
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bool is_bound = jst->get_name() == m_bound;
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bool even = true;
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bool even = true;
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rational coeff;
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rational coeff;
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expr* x, * y;
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expr* x, * y;
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unsigned j = 0;
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for (expr* arg : *jst) {
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for (expr* arg : *jst) {
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if (even) {
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if (even) {
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if (!a.is_numeral(arg, coeff)) {
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if (!a.is_numeral(arg, coeff)) {
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@ -387,16 +404,22 @@ namespace arith {
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}
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}
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else {
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else {
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bool sign = m.is_not(arg, arg);
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bool sign = m.is_not(arg, arg);
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if (a.is_le(arg) || a.is_lt(arg) || a.is_ge(arg) || a.is_gt(arg))
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if (a.is_le(arg) || a.is_lt(arg) || a.is_ge(arg) || a.is_gt(arg)) {
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if (is_bound && j + 1 == jst->get_num_args())
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add_conseq(coeff, arg, sign);
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else
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add_ineq(coeff, arg, sign);
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add_ineq(coeff, arg, sign);
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}
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else if (m.is_eq(arg, x, y)) {
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else if (m.is_eq(arg, x, y)) {
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if (sign)
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if (sign)
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add_diseq(x, y);
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add_diseq(x, y);
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else
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else
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add_eq(x, y);
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add_eq(x, y);
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}
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}
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else
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else {
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IF_VERBOSE(0, verbose_stream() << "not a recognized arithmetical relation " << mk_pp(arg, m) << "\n");
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return false;
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return false;
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}
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if (sign && !pos.is_marked(arg)) {
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if (sign && !pos.is_marked(arg)) {
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units.push_back(m.mk_not(arg));
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units.push_back(m.mk_not(arg));
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@ -406,28 +429,21 @@ namespace arith {
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units.push_back(arg);
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units.push_back(arg);
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neg.mark(arg, false);
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neg.mark(arg, false);
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}
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}
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}
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}
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even = !even;
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even = !even;
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++j;
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}
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}
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if (check_farkas()) {
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if (check())
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return true;
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return true;
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}
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IF_VERBOSE(0, verbose_stream() << "did not check farkas\n" << mk_pp(jst, m) << "\n"; display(verbose_stream()); );
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IF_VERBOSE(0, verbose_stream() << "did not check condition\n" << mk_pp(jst, m) << "\n"; display(verbose_stream()); );
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return false;
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}
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// todo: rules for bounds and implied-by
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IF_VERBOSE(0, verbose_stream() << "did not check " << mk_pp(jst, m) << "\n");
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return false;
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return false;
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}
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}
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void register_plugins(euf::proof_checker& pc) override {
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void register_plugins(euf::proof_checker& pc) override {
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pc.register_plugin(symbol("farkas"), this);
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pc.register_plugin(m_farkas, this);
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pc.register_plugin(symbol("bound"), this);
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pc.register_plugin(m_bound, this);
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pc.register_plugin(symbol("implied-eq"), this);
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pc.register_plugin(m_implied_eq, this);
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}
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}
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};
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};
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@ -308,7 +308,6 @@ namespace bv {
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euf::enode* n = bool_var2enode(l.var());
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euf::enode* n = bool_var2enode(l.var());
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if (!n->is_attached_to(get_id()))
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if (!n->is_attached_to(get_id()))
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mk_var(n);
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mk_var(n);
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set_bit_eh(v, l, idx);
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set_bit_eh(v, l, idx);
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}
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}
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@ -453,7 +452,9 @@ namespace bv {
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*
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*
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* Alternative axiomatization:
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* Alternative axiomatization:
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* e = sum bit2bool(i,n)*2^i + 2^n * (div(e, 2^n))
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* e = sum bit2bool(i,n)*2^i + 2^n * (div(e, 2^n))
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* possibly term div(e,2^n) is not
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* possibly term div(e,2^n) is not correct with respect to adapted semantics?
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* if not, use fresh variable or similar. Overall should be much beter.
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* Note: based on superb question raised at workshop on 9/1/22.
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*/
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*/
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void solver::assert_int2bv_axiom(app* n) {
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void solver::assert_int2bv_axiom(app* n) {
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expr* e = nullptr;
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expr* e = nullptr;
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@ -574,11 +575,9 @@ namespace bv {
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init_bits(n, bits);
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init_bits(n, bits);
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}
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}
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void solver::internalize_binary(app* e, std::function<void(unsigned, expr* const*, expr* const*, expr_ref_vector&)>& fn) {
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void solver::internalize_binary(app* e, std::function<void(unsigned, expr* const*, expr* const*, expr_ref_vector&)>& fn) {
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SASSERT(e->get_num_args() >= 1);
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SASSERT(e->get_num_args() >= 1);
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expr_ref_vector bits(m), new_bits(m), arg_bits(m);
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expr_ref_vector bits(m), new_bits(m), arg_bits(m);
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get_arg_bits(e, 0, bits);
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get_arg_bits(e, 0, bits);
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for (unsigned i = 1; i < e->get_num_args(); ++i) {
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for (unsigned i = 1; i < e->get_num_args(); ++i) {
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arg_bits.reset();
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arg_bits.reset();
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@ -667,9 +666,8 @@ namespace bv {
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expr* arg = nullptr;
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expr* arg = nullptr;
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VERIFY(bv.is_bit2bool(n, arg, idx));
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VERIFY(bv.is_bit2bool(n, arg, idx));
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euf::enode* argn = expr2enode(arg);
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euf::enode* argn = expr2enode(arg);
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if (!argn->is_attached_to(get_id())) {
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if (!argn->is_attached_to(get_id()))
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mk_var(argn);
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mk_var(argn);
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}
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theory_var v_arg = argn->get_th_var(get_id());
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theory_var v_arg = argn->get_th_var(get_id());
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SASSERT(idx < get_bv_size(v_arg));
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SASSERT(idx < get_bv_size(v_arg));
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sat::literal lit = expr2literal(n);
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sat::literal lit = expr2literal(n);
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