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				https://github.com/Z3Prover/z3
				synced 2025-11-04 05:19:11 +00:00 
			
		
		
		
	update lia2card to handle broader intervals
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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					 2 changed files with 61 additions and 63 deletions
				
			
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			@ -62,7 +62,6 @@ namespace sat {
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            SASSERT(is_ternary_clause());
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            SASSERT(get_literal1() == l1);
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            SASSERT(get_literal2() == l2);
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            SASSERT(is_learned() == learned);
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        }
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        unsigned val2() const { return m_val2; }
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			@ -34,17 +34,29 @@ Author:
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Notes:
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--*/
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#include "tactic/tactical.h"
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#include "util/cooperate.h"
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#include "tactic/arith/bound_manager.h"
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#include "ast/ast_pp.h"
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#include "ast/pb_decl_plugin.h"
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#include "ast/arith_decl_plugin.h"
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#include "ast/rewriter/rewriter_def.h"
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#include "ast/rewriter/expr_safe_replace.h"
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#include "ast/ast_util.h"
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#include "ast/ast_pp_util.h"
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#include "tactic/tactical.h"
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#include "tactic/arith/bound_manager.h"
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#include "tactic/generic_model_converter.h"
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class lia2card_tactic : public tactic {
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    struct bound {
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        unsigned m_lo;
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        unsigned m_hi;
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        expr*    m_expr;
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        bound(unsigned lo, unsigned hi, expr* b):
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            m_lo(lo), m_hi(hi), m_expr(b) {}
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        bound(): m_lo(0), m_hi(0), m_expr(0) {}
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    };
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    struct lia_rewriter_cfg : public default_rewriter_cfg {
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        ast_manager&     m;
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        lia2card_tactic& t;
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			@ -58,7 +70,7 @@ class lia2card_tactic : public tactic {
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            coeffs.reset();
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            coeff.reset();
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            return 
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                t.get_pb_sum(x, rational::one(), args, coeffs, coeff) &&
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                t.get_pb_sum(x,  rational::one(), args, coeffs, coeff) &&
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                t.get_pb_sum(y, -rational::one(), args, coeffs, coeff);
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        }
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			@ -128,15 +140,17 @@ class lia2card_tactic : public tactic {
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    };
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public:
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    typedef obj_hashtable<expr> expr_set;
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    typedef obj_map<expr, bound> bounds_map;
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    ast_manager &                    m;
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    arith_util                       a;
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    lia_rewriter                     m_rw;
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    params_ref                       m_params;
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    pb_util                          m_pb;
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    mutable ptr_vector<expr>*        m_todo;
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    expr_set*                        m_01s;
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    bounds_map                       m_bounds;
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    bool                             m_compile_equality;
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    unsigned                         m_max_ub;
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    ref<generic_model_converter>     m_mc;
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    lia2card_tactic(ast_manager & _m, params_ref const & p):
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        m(_m),
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			@ -144,13 +158,12 @@ public:
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        m_rw(*this),
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        m_pb(m),
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        m_todo(alloc(ptr_vector<expr>)),
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        m_01s(alloc(expr_set)),
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        m_compile_equality(false) {
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        m_max_ub = 100;
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    }
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    virtual ~lia2card_tactic() {
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        dealloc(m_todo);
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        dealloc(m_01s);
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    }
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    void updt_params(params_ref const & p) {
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			@ -158,85 +171,75 @@ public:
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        m_compile_equality = p.get_bool("compile_equality", false);
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    }
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    virtual void operator()(goal_ref const & g, 
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                    goal_ref_buffer & result) {
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    expr_ref mk_bounded(expr_ref_vector& axioms, app* x, unsigned lo, unsigned hi) {
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        expr_ref_vector xs(m);
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        expr_ref last_v(m);
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        if (!m_mc) m_mc = alloc(generic_model_converter, m, "lia2card");
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        for (unsigned i = 0; i < hi; ++i) {     
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            if (i < lo) {
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                xs.push_back(a.mk_int(1));
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                continue;
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            }
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            std::string name(x->get_decl()->get_name().str());
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            expr_ref v(m.mk_fresh_const(name.c_str(), m.mk_bool_sort()), m);
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            if (last_v) axioms.push_back(m.mk_implies(v, last_v));
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            xs.push_back(m.mk_ite(v, a.mk_int(1), a.mk_int(0)));
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            m_mc->hide(v);            
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            last_v = v;
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        }
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        expr* r = a.mk_add(xs.size(), xs.c_ptr());
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        m_mc->add(x->get_decl(), r);
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        return expr_ref(r, m);        
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    }    
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    virtual void operator()(goal_ref const & g, goal_ref_buffer & result) {
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        SASSERT(g->is_well_sorted());
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        m_01s->reset();
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        m_bounds.reset();
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        m_mc.reset();
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        expr_ref_vector axioms(m);
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        expr_safe_replace rep(m);
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        tactic_report report("cardinality-intro", *g);
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        bound_manager bounds(m);
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        bounds(*g);
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        for (expr* x : bounds) {
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            bool s1 = false, s2 = false;
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            rational lo, hi;
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            if (a.is_int(x) && 
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                bounds.has_lower(x, lo, s1) && !s1 && lo.is_zero() &&
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                bounds.has_upper(x, hi, s2) && !s2 && hi.is_one()) {
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                m_01s->insert(x);
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                is_uninterp_const(x) && 
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                bounds.has_lower(x, lo, s1) && !s1 && lo.is_unsigned() &&
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                bounds.has_upper(x, hi, s2) && !s2 && hi.is_unsigned() && hi.get_unsigned() <= m_max_ub) {
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                expr_ref b = mk_bounded(axioms, to_app(x), lo.get_unsigned(), hi.get_unsigned());
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                rep.insert(x, b);
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                m_bounds.insert(x, bound(lo.get_unsigned(), hi.get_unsigned(), b));
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                TRACE("pb", tout << "add bound " << mk_pp(x, m) << "\n";);
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            }
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        }
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        expr_mark subfmls;
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        for (unsigned i = 0; i < g->size(); i++) {            
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            expr_ref   new_curr(m);
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            expr_ref   new_curr(m), tmp(m);
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            proof_ref  new_pr(m);        
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            m_rw(g->form(i), new_curr, new_pr);
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            rep(g->form(i), tmp);
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            if (tmp == g->form(i)) continue;
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            m_rw(tmp, new_curr, new_pr);
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            if (m.proofs_enabled() && !new_pr) {
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                new_pr = m.mk_rewrite(g->form(i), new_curr);
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                new_pr = m.mk_modus_ponens(g->pr(i), new_pr);
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            }
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            g->update(i, new_curr, new_pr, g->dep(i));
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            mark_rec(subfmls, new_curr);
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        }
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        for (expr* v : *m_01s) {
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            if (subfmls.is_marked(v)) {
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                g->assert_expr(a.mk_le(v, a.mk_numeral(rational(1), true)));
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                g->assert_expr(a.mk_le(a.mk_numeral(rational(0), true), v));
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            }
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        for (expr* a : axioms) {
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            g->assert_expr(a);
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        }
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        if (m_mc) g->add(m_mc.get());
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        g->inc_depth();
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        result.push_back(g.get());
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        TRACE("pb", g->display(tout););
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        SASSERT(g->is_well_sorted());
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        // TBD: convert models for 0-1 variables.
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        // TBD: support proof conversion (or not..)
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        m_bounds.reset();        
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    }
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    void mark_rec(expr_mark& mark, expr* e) {
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        ptr_vector<expr> todo;
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        todo.push_back(e);
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        while (!todo.empty()) {
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            e = todo.back();
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            todo.pop_back();
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            if (!mark.is_marked(e)) {
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                mark.mark(e);
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                if (is_app(e)) {
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                    for (unsigned i = 0; i < to_app(e)->get_num_args(); ++i) {
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                        todo.push_back(to_app(e)->get_arg(i));
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                    }
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                }
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                else if (is_quantifier(e)) {
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                    todo.push_back(to_quantifier(e)->get_expr());
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                }
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            }
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        }
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    }
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    bool is_01var(expr* x) const {
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        return m_01s->contains(x);
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    }
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    expr_ref mk_01(expr* x) {
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        expr* r = m.mk_eq(x, a.mk_numeral(rational(1), m.get_sort(x)));
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        return expr_ref(r, m);
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    }        
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    expr* mk_le(unsigned sz, rational const* weights, expr* const* args, rational const& w) {
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        if (sz == 0) {
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            return w.is_neg()?m.mk_false():m.mk_true();
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			@ -324,9 +327,6 @@ public:
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            ok &= get_sum(u, mul, conds, args, coeffs, coeff);
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            conds.pop_back();            
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        }
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        else if (is_01var(x)) {
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            insert_arg(mul, conds, mk_01(x), args, coeffs, coeff);
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        }
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        else if (is_numeral(x, r)) {
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            insert_arg(mul*r, conds, m.mk_true(), args, coeffs, coeff);
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        }
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			@ -391,9 +391,8 @@ public:
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    }
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    virtual void cleanup() {        
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        expr_set* d = alloc(expr_set);
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        bounds_map* d = alloc(bounds_map);
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        ptr_vector<expr>* todo = alloc(ptr_vector<expr>);
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        std::swap(m_01s, d);
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        std::swap(m_todo, todo);        
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        dealloc(d);
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        dealloc(todo);
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