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https://github.com/Z3Prover/z3
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theory_str Replace method
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fb20951064
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5b3c868c90
6 changed files with 118 additions and 11 deletions
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@ -176,6 +176,28 @@ br_status str_rewriter::mk_str_LastIndexof(expr * haystack, expr * needle, expr_
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}
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}
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br_status str_rewriter::mk_str_Replace(expr * base, expr * source, expr * target, expr_ref & result) {
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TRACE("t_str_rw", tout << "rewrite (Replace " << mk_pp(base, m()) << " " << mk_pp(source, m()) << " " << mk_pp(target, m()) << ")" << std::endl;);
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if (m_strutil.is_string(base) && m_strutil.is_string(source) && m_strutil.is_string(target)) {
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std::string arg0Str = m_strutil.get_string_constant_value(base);
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std::string arg1Str = m_strutil.get_string_constant_value(source);
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std::string arg2Str = m_strutil.get_string_constant_value(target);
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if (arg0Str.find(arg1Str) != std::string::npos) {
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int index1 = arg0Str.find(arg1Str);
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int index2 = index1 + arg1Str.length();
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std::string substr0 = arg0Str.substr(0, index1);
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std::string substr2 = arg0Str.substr(index2);
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std::string replaced = substr0 + arg2Str + substr2;
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result = m_strutil.mk_string(replaced);
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} else {
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result = base;
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}
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return BR_DONE;
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} else {
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return BR_FAILED;
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}
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}
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br_status str_rewriter::mk_app_core(func_decl * f, unsigned num_args, expr * const * args, expr_ref & result) {
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SASSERT(f->get_family_id() == get_fid());
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@ -204,6 +226,9 @@ br_status str_rewriter::mk_app_core(func_decl * f, unsigned num_args, expr * con
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case OP_STR_LASTINDEXOF:
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SASSERT(num_args == 2);
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return mk_str_LastIndexof(args[0], args[1], result);
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case OP_STR_REPLACE:
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SASSERT(num_args == 3);
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return mk_str_Replace(args[0], args[1], args[2], result);
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default:
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return BR_FAILED;
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}
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@ -47,6 +47,7 @@ public:
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br_status mk_str_Indexof(expr * haystack, expr * needle, expr_ref & result);
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br_status mk_str_Indexof2(expr * arg0, expr * arg1, expr * arg2, expr_ref & result);
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br_status mk_str_LastIndexof(expr * haystack, expr * needle, expr_ref & result);
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br_status mk_str_Replace(expr * base, expr * source, expr * target, expr_ref & result);
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bool reduce_eq(expr * l, expr * r, expr_ref_vector & lhs, expr_ref_vector & rhs, bool & change);
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bool reduce_eq(expr_ref_vector& ls, expr_ref_vector& rs, expr_ref_vector& lhs, expr_ref_vector& rhs, bool& change);
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@ -34,6 +34,7 @@ str_decl_plugin::str_decl_plugin():
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m_indexof2_decl(0),
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m_lastindexof_decl(0),
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m_substr_decl(0),
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m_replace_decl(0),
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m_arith_plugin(0),
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m_arith_fid(0),
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m_int_sort(0){
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@ -55,6 +56,7 @@ void str_decl_plugin::finalize(void) {
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DEC_REF(m_indexof2_decl);
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DEC_REF(m_lastindexof_decl);
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DEC_REF(m_substr_decl);
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DEC_REF(m_replace_decl);
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DEC_REF(m_int_sort);
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}
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@ -114,6 +116,12 @@ void str_decl_plugin::set_manager(ast_manager * m, family_id id) {
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m_substr_decl = m->mk_func_decl(symbol("Substring"), 3, d, s, func_decl_info(id, OP_STR_SUBSTR));
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m_manager->inc_ref(m_substr_decl);
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}
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{
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sort * d[3] = {s, s, s};
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m_replace_decl = m->mk_func_decl(symbol("Replace"), 3, d, s, func_decl_info(id, OP_STR_REPLACE));
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m_manager->inc_ref(m_replace_decl);
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}
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}
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decl_plugin * str_decl_plugin::mk_fresh() {
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@ -139,6 +147,7 @@ func_decl * str_decl_plugin::mk_func_decl(decl_kind k) {
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case OP_STR_INDEXOF2: return m_indexof2_decl;
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case OP_STR_LASTINDEXOF: return m_lastindexof_decl;
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case OP_STR_SUBSTR: return m_substr_decl;
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case OP_STR_REPLACE: return m_replace_decl;
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default: return 0;
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}
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}
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@ -203,6 +212,7 @@ void str_decl_plugin::get_op_names(svector<builtin_name> & op_names, symbol cons
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op_names.push_back(builtin_name("Indexof2", OP_STR_INDEXOF2));
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op_names.push_back(builtin_name("LastIndexof", OP_STR_LASTINDEXOF));
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op_names.push_back(builtin_name("Substring", OP_STR_SUBSTR));
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op_names.push_back(builtin_name("Replace", OP_STR_REPLACE));
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}
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void str_decl_plugin::get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) {
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@ -39,6 +39,7 @@ enum str_op_kind {
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OP_STR_INDEXOF2,
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OP_STR_LASTINDEXOF,
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OP_STR_SUBSTR,
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OP_STR_REPLACE,
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// end
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LAST_STR_OP
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};
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@ -59,6 +60,7 @@ protected:
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func_decl * m_indexof2_decl;
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func_decl * m_lastindexof_decl;
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func_decl * m_substr_decl;
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func_decl * m_replace_decl;
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arith_decl_plugin * m_arith_plugin;
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family_id m_arith_fid;
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@ -612,7 +612,7 @@ bool theory_str::can_propagate() {
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return !m_basicstr_axiom_todo.empty() || !m_str_eq_todo.empty() || !m_concat_axiom_todo.empty()
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|| !m_axiom_CharAt_todo.empty() || !m_axiom_StartsWith_todo.empty() || !m_axiom_EndsWith_todo.empty()
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|| !m_axiom_Contains_todo.empty() || !m_axiom_Indexof_todo.empty() || !m_axiom_Indexof2_todo.empty() || !m_axiom_LastIndexof_todo.empty()
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|| !m_axiom_Substr_todo.empty()
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|| !m_axiom_Substr_todo.empty() || !m_axiom_Replace_todo.empty()
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;
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}
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@ -676,6 +676,11 @@ void theory_str::propagate() {
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instantiate_axiom_Substr(m_axiom_Substr_todo[i]);
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}
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m_axiom_Substr_todo.reset();
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for (unsigned i = 0; i < m_axiom_Replace_todo.size(); ++i) {
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instantiate_axiom_Replace(m_axiom_Replace_todo[i]);
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}
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m_axiom_Replace_todo.reset();
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}
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}
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@ -1192,6 +1197,56 @@ void theory_str::instantiate_axiom_Substr(enode * e) {
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assert_axiom(finalAxiom);
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}
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void theory_str::instantiate_axiom_Replace(enode * e) {
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context & ctx = get_context();
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ast_manager & m = get_manager();
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app * expr = e->get_owner();
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if (axiomatized_terms.contains(expr)) {
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TRACE("t_str_detail", tout << "already set up Replace axiom for " << mk_pp(expr, m) << std::endl;);
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return;
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}
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axiomatized_terms.insert(expr);
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TRACE("t_str_detail", tout << "instantiate Replace axiom for " << mk_pp(expr, m) << std::endl;);
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expr_ref x1(mk_str_var("x1"), m);
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expr_ref x2(mk_str_var("x2"), m);
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expr_ref i1(mk_int_var("i1"), m);
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expr_ref result(mk_str_var("result"), m);
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// condAst = Contains(args[0], args[1])
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expr_ref condAst(mk_contains(expr->get_arg(0), expr->get_arg(1)), m);
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// -----------------------
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// true branch
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expr_ref_vector thenItems(m);
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// args[0] = x1 . args[1] . x2
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thenItems.push_back(ctx.mk_eq_atom(expr->get_arg(0), mk_concat(x1, mk_concat(expr->get_arg(1), x2))));
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// i1 = |x1|
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thenItems.push_back(ctx.mk_eq_atom(i1, mk_strlen(x1)));
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// args[0] = x3 . x4 /\ |x3| = |x1| + |args[1]| - 1 /\ ! contains(x3, args[1])
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expr_ref x3(mk_str_var("x3"), m);
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expr_ref x4(mk_str_var("x4"), m);
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expr_ref tmpLen(m_autil.mk_add(i1, mk_strlen(expr->get_arg(1)), mk_int(-1)), m);
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thenItems.push_back(ctx.mk_eq_atom(expr->get_arg(0), mk_concat(x3, x4)));
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thenItems.push_back(ctx.mk_eq_atom(mk_strlen(x3), tmpLen));
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thenItems.push_back(m.mk_not(mk_contains(x3, expr->get_arg(1))));
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thenItems.push_back(ctx.mk_eq_atom(result, mk_concat(x1, mk_concat(expr->get_arg(2), x2))));
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// -----------------------
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// false branch
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expr_ref elseBranch(ctx.mk_eq_atom(result, expr->get_arg(0)), m);
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expr_ref breakdownAssert(m.mk_ite(condAst, m.mk_and(thenItems.size(), thenItems.c_ptr()), elseBranch), m);
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SASSERT(breakdownAssert);
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expr_ref reduceToResult(ctx.mk_eq_atom(expr, result), m);
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SASSERT(reduceToResult);
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expr_ref finalAxiom(m.mk_and(breakdownAssert, reduceToResult), m);
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SASSERT(finalAxiom);
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assert_axiom(finalAxiom);
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}
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void theory_str::attach_new_th_var(enode * n) {
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context & ctx = get_context();
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theory_var v = mk_var(n);
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@ -3928,6 +3983,10 @@ void theory_str::set_up_axioms(expr * ex) {
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}
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} else if (is_CharAt(ap)) {
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m_axiom_CharAt_todo.push_back(n);
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} else if (is_Substr(ap)) {
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m_axiom_Substr_todo.push_back(n);
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} else if (is_Replace(ap)) {
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m_axiom_Replace_todo.push_back(n);
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} else if (ap->get_num_args() == 0 && !is_string(ap)) {
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// if ex is a variable, add it to our list of variables
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TRACE("t_str_detail", tout << "tracking variable " << mk_ismt2_pp(ap, get_manager()) << std::endl;);
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@ -3942,18 +4001,24 @@ void theory_str::set_up_axioms(expr * ex) {
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TRACE("t_str_detail", tout << "setting up axioms for " << mk_ismt2_pp(ex, get_manager()) <<
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": expr is of sort Bool" << std::endl;);
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// set up axioms for boolean terms
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enode * n = ctx.get_enode(ex);
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SASSERT(n);
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if (is_app(ex)) {
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app * ap = to_app(ex);
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if (is_StartsWith(ap)) {
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m_axiom_StartsWith_todo.push_back(n);
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} else if (is_EndsWith(ap)) {
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m_axiom_EndsWith_todo.push_back(n);
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} else if (is_Contains(ap)) {
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m_axiom_Contains_todo.push_back(n);
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if (ctx.e_internalized(ex)) {
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enode * n = ctx.get_enode(ex);
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SASSERT(n);
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if (is_app(ex)) {
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app * ap = to_app(ex);
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if (is_StartsWith(ap)) {
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m_axiom_StartsWith_todo.push_back(n);
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} else if (is_EndsWith(ap)) {
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m_axiom_EndsWith_todo.push_back(n);
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} else if (is_Contains(ap)) {
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m_axiom_Contains_todo.push_back(n);
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}
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}
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} else {
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TRACE("t_str_detail", tout << "WARNING: Bool term " << mk_ismt2_pp(ex, get_manager()) << " not internalized. Skipping to prevent a crash." << std::endl;);
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return;
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}
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} else if (ex_sort == int_sort) {
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TRACE("t_str_detail", tout << "setting up axioms for " << mk_ismt2_pp(ex, get_manager()) <<
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@ -116,6 +116,7 @@ namespace smt {
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ptr_vector<enode> m_axiom_Indexof2_todo;
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ptr_vector<enode> m_axiom_LastIndexof_todo;
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ptr_vector<enode> m_axiom_Substr_todo;
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ptr_vector<enode> m_axiom_Replace_todo;
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// hashtable of all exprs for which we've already set up term-specific axioms --
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// this prevents infinite recursive descent with respect to axioms that
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@ -202,6 +203,8 @@ namespace smt {
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bool is_LastIndexof(enode const * n) const { return is_LastIndexof(n->get_owner()); }
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bool is_Substr(app const * a) const { return a->is_app_of(get_id(), OP_STR_SUBSTR); }
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bool is_Substr(enode const * n) const { return is_Substr(n->get_owner()); }
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bool is_Replace(app const * a) const { return a->is_app_of(get_id(), OP_STR_REPLACE); }
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bool is_Replace(enode const * n) const { return is_Replace(n->get_owner()); }
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void instantiate_concat_axiom(enode * cat);
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void instantiate_basic_string_axioms(enode * str);
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@ -215,6 +218,7 @@ namespace smt {
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void instantiate_axiom_Indexof2(enode * e);
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void instantiate_axiom_LastIndexof(enode * e);
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void instantiate_axiom_Substr(enode * e);
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void instantiate_axiom_Replace(enode * e);
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void set_up_axioms(expr * ex);
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void handle_equality(expr * lhs, expr * rhs);
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