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https://github.com/Z3Prover/z3
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Avoid Skolem functions for length and symbolic characters introduced during Nielsen saturation (power exponents are still Skolem functions)
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parent
aed76af2b5
commit
0a1eb26952
2 changed files with 89 additions and 108 deletions
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@ -216,7 +216,38 @@ namespace seq {
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// -----------------------------------------------
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nielsen_edge::nielsen_edge(nielsen_node* src, nielsen_node* tgt, bool is_progress):
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m_src(src), m_tgt(tgt), m_is_progress(is_progress) { }
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m_src(src), m_tgt(tgt),
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m_len_updates(src->graph().get_manager()), m_is_progress(is_progress) { }
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void nielsen_edge::add_subst(nielsen_subst const& s) {
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DEBUG_CODE(
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euf::snode_vector tokens;
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s.m_replacement->collect_tokens(tokens);
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unsigned cnt = 0;
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for (euf::snode* e : tokens) {
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cnt += e == s.m_var;
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}
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SASSERT(cnt <= 1);
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);
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m_subst.push_back(s);
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nielsen_graph& g = src()->graph();
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if (s.is_eliminating())
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m_len_updates.push_back(g.a.mk_int(0));
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else {
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expr_ref sum(
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g.a.mk_sub(
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g.a.mk_mul(g.a.mk_int(2), g.compute_length_expr(s.m_var)),
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g.compute_length_expr(s.m_replacement)
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), g.get_manager());
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th_rewriter th(g.get_manager());
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th(sum);
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m_len_updates.push_back(sum);
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std::cout
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<< mk_pp(s.m_var->get_expr(), src()->graph().get_manager()) << " => "
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<< mk_pp(sum, src()->graph().get_manager())
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<< " using " << mk_pp(s.m_replacement->get_expr(), src()->graph().get_manager()) << std::endl;
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}
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}
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// -----------------------------------------------
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// nielsen_node
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@ -331,18 +362,6 @@ namespace seq {
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add_char_range(s.m_replacement, range.first, m_graph.dep_mgr().mk_join(range.second, s.m_dep));
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}
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}
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else {
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expr_ref v = graph().get_current_skolem(s.m_var);
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// temporarily bump counter for the substituted variable
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unsigned prev = 0;
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graph().m_mod_cnt.find(s.m_var->id(), prev);
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graph().m_mod_cnt.insert(s.m_var->id(), prev + 1);
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expr_ref str = graph().get_current_skolem_str(s.m_replacement);
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graph().m_mod_cnt.insert(s.m_var->id(), prev);
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add_constraint(
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constraint(m.mk_eq(v, str), s.m_dep, m));
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}
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}
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void nielsen_node::add_char_range(euf::snode* sym_char, char_set const& range, dep_tracker dep) {
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@ -425,11 +444,11 @@ namespace seq {
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a(sg.get_manager()),
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m_seq(sg.get_seq_util()),
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m_sg(sg),
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m_length_term(m),
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m_solver(solver),
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m_core_solver(core_solver),
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m_parikh(alloc(seq_parikh, sg)),
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m_seq_regex(alloc(seq::seq_regex, sg)) {
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}
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m_seq_regex(alloc(seq::seq_regex, sg)) {}
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nielsen_graph::~nielsen_graph() {
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dealloc(m_parikh);
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@ -519,6 +538,7 @@ namespace seq {
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m_fresh_cnt = 0;
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m_root_constraints_asserted = false;
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m_mod_cnt.reset();
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m_length_term.reset();
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m_dep_mgr.reset();
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m_solver.reset();
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m_core_solver.reset();
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@ -1363,7 +1383,7 @@ namespace seq {
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++m_stats.m_num_unknown;
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return search_result::unknown;
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}
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catch(const std::exception& e) {
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catch(const std::exception&) {
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#ifdef Z3DEBUG
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std::string dot = to_dot();
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#endif
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@ -3284,7 +3304,7 @@ namespace seq {
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euf::snode* u2 = m_sg.drop_left(eq.m_lhs, i);
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euf::snode* v1 = m_sg.drop_right(eq.m_rhs, rhs_toks.size() - j);
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euf::snode* v2 = m_sg.drop_left(eq.m_rhs, j);
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// NSB review: if we keep this skolem function it should include arguments a.mk_int(i), a.mk_int(j)
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// NSB review: if we keep this skolem function it should include arguments
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// to not clash with other values of i, j
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// Why not use
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// x := str.substr(u2, 0, str.len(u2) - str.len(v1)),
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@ -3746,7 +3766,6 @@ namespace seq {
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// -----------------------------------------------------------------------
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expr_ref nielsen_graph::compute_length_expr(euf::snode* n) {
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if (n->is_empty())
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return expr_ref(a.mk_int(0), m);
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@ -3759,13 +3778,10 @@ namespace seq {
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return expr_ref(a.mk_add(left, right), m);
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}
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// For variables: consult modification counter.
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// mod_count > 0 means the variable has been reused by a non-eliminating
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// substitution; use a fresh integer variable to avoid the circular
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// |x| = 1 + |x| problem.
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// for variables at mod_count 0 and other terms, use symbolic (str.len expr)
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return expr_ref(m_seq.str.mk_length(get_current_skolem(n)), m);
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unsigned len_idx = 0;
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if (m_length_info.find(n->id(), len_idx))
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return expr_ref(m_length_term.get(len_idx), m);
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return expr_ref(m_seq.str.mk_length(n->get_expr()), m);
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}
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void nielsen_graph::generate_length_constraints(vector<length_constraint>& constraints) {
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@ -3862,75 +3878,27 @@ namespace seq {
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// + NielsenNode constructor length assertion logic
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// -----------------------------------------------------------------------
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expr_ref nielsen_graph::get_current_skolem(euf::snode* var) {
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SASSERT(!var->is_char_or_unit());
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expr_ref e(var->get_expr(), m);
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unsigned mc = 0;
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m_mod_cnt.find(var->id(), mc);
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th_rewriter rw(m);
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skolem sk(m, rw);
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for (unsigned k = 0; k < mc; k++) {
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e = sk.mk("succ!", e, e->get_sort());
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}
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return e;
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}
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expr_ref nielsen_graph::get_current_skolem_str(euf::snode* s) {
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std::stack<euf::snode*> stack;
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stack.push(s);
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expr_ref e(m);
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while (!stack.empty()) {
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euf::snode* n = stack.top();
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stack.pop();
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SASSERT(n);
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if (n->is_concat()) {
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stack.push(n->arg(1));
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stack.push(n->arg(0));
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continue;
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}
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expr_ref add(m);
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if (n->is_var())
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add = get_current_skolem(n);
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else if (n->is_empty())
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continue;
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else if (n->is_char_or_unit())
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add = n->get_expr();
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else if (n->is_power())
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add = m_seq.str.mk_power(get_current_skolem_str(n->arg(0)), n->arg(1)->get_expr());
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else {
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UNREACHABLE();
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}
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if (e)
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e = seq().str.mk_concat(e, add);
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else
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e = add;
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}
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if (!e)
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e = seq().str.mk_empty(s->get_sort());
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return e;
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}
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expr_ref nielsen_graph::get_or_create_char_var(euf::snode* var) {
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SASSERT(var && var->is_var());
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th_rewriter rw(m);
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auto e = get_current_skolem(var);
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return expr_ref(
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m_seq.str.mk_unit(skolem(m, rw).mk("char!", e, m_seq.mk_char_sort())), m);
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expr_ref idx(a.mk_sub(seq().str.mk_length(var->get_expr()), compute_length_expr(var)), m);
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auto e = seq().str.mk_nth_u(var->get_expr(), idx);
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return expr_ref(m_seq.str.mk_unit(expr_ref(e, m)), m);
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}
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expr_ref nielsen_graph::get_or_create_gpower_n_var(euf::snode* var) {
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SASSERT(var && var->is_var());
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unsigned mc = 0;
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m_mod_cnt.find(var->id(), mc);
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th_rewriter rw(m);
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auto e = get_current_skolem(var);
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return skolem(m, rw).mk("gpn!", e, a.mk_int());
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return skolem(m, rw).mk("gpn!", var->get_expr(), a.mk_int(mc), a.mk_int());
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}
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expr_ref nielsen_graph::get_or_create_gpower_m_var(euf::snode* var) {
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SASSERT(var && var->is_var());
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unsigned mc = 0;
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m_mod_cnt.find(var->id(), mc);
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th_rewriter rw(m);
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auto e = get_current_skolem(var);
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return skolem(m, rw).mk("gpm!", e, a.mk_int());
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return skolem(m, rw).mk("gpm!", var->get_expr(), a.mk_int(mc), a.mk_int());
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}
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void nielsen_graph::add_subst_length_constraints(nielsen_edge* e) {
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@ -3975,25 +3943,40 @@ namespace seq {
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}
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void nielsen_graph::inc_edge_mod_counts(nielsen_edge* e) {
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for (auto const& s : e->subst()) {
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if (s.is_eliminating()) continue;
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unsigned id = s.m_var->id();
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unsigned prev = 0;
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auto& sub = e->subst();
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for (unsigned i = 0; i < sub.size(); i++) {
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unsigned id = sub[i].m_var->id();
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unsigned prev = UINT_MAX;
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m_length_info.find(id, prev);
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m_length_backtrack.push_back(prev);
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m_length_info.insert(id, m_length_term.size());
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m_length_term.push_back(e->len_updates(i));
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prev = 0;
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m_mod_cnt.find(id, prev);
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m_mod_cnt.insert(id, prev + 1);
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}
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}
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void nielsen_graph::dec_edge_mod_counts(nielsen_edge* e) {
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for (auto const& s : e->subst()) {
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if (s.is_eliminating()) continue;
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unsigned id = s.m_var->id();
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unsigned prev = 0;
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auto& sub = e->subst();
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for (unsigned i = 0; i < sub.size(); i++) {
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unsigned id = sub[i].m_var->id();
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unsigned prev = m_length_backtrack.back();
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m_length_backtrack.pop_back();
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m_length_term.pop_back();
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if (prev == UINT_MAX)
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m_length_info.remove(id);
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else
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m_length_info.insert(id, prev);
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id = sub[i].m_var->id();
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prev = 0;
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VERIFY(m_mod_cnt.find(id, prev));
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SASSERT(prev >= 1);
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if (prev <= 1)
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m_mod_cnt.remove(id);
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else
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else
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m_mod_cnt.insert(id, prev - 1);
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}
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}
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