/*++ Copyright (c) 2026 Microsoft Corporation Module Name: nseq_basic.cpp Abstract: Basic unit tests for theory_nseq and supporting infrastructure. --*/ #include "util/util.h" #include "ast/reg_decl_plugins.h" #include "ast/euf/euf_egraph.h" #include "ast/euf/euf_sgraph.h" #include "smt/seq/seq_nielsen.h" #include "params/smt_params.h" #include // Test 1: instantiation of nielsen_graph compiles and doesn't crash static void test_nseq_instantiation() { std::cout << "test_nseq_instantiation\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); SASSERT(ng.root() == nullptr); SASSERT(ng.num_nodes() == 0); std::cout << " ok\n"; } // Test 2: parameter validation accepts "nseq" static void test_nseq_param_validation() { std::cout << "test_nseq_param_validation\n"; smt_params p; // Should not throw try { p.validate_string_solver(symbol("nseq")); std::cout << " ok: nseq accepted\n"; } catch (...) { SASSERT(false && "nseq should be accepted as a valid string_solver value"); } // Should not throw for legacy values try { p.validate_string_solver(symbol("seq")); p.validate_string_solver(symbol("auto")); p.validate_string_solver(symbol("none")); std::cout << " ok: legacy values still accepted\n"; } catch (...) { SASSERT(false && "legacy values should still be accepted"); } } // Test 3: nielsen graph simplification (trivial case) static void test_nseq_simplification() { std::cout << "test_nseq_simplification\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); // Add a trivial equality: empty = empty euf::snode* empty1 = sg.mk_empty(); euf::snode* empty2 = sg.mk_empty(); ng.add_str_eq(empty1, empty2); seq::nielsen_graph::search_result r = ng.solve(); // empty = empty is trivially satisfied SASSERT(r == seq::nielsen_graph::search_result::sat); std::cout << " ok: trivial equality solved as sat\n"; } // Test 4: node is_satisfied check static void test_nseq_node_satisfied() { std::cout << "test_nseq_node_satisfied\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); seq::nielsen_node* node = ng.mk_node(); // empty node has no constraints => satisfied SASSERT(node->is_satisfied()); // add a trivial equality euf::snode* empty = sg.mk_empty(); seq::dep_tracker dep; seq::str_eq eq(empty, empty, dep); node->add_str_eq(eq); SASSERT(node->str_eqs().size() == 1); SASSERT(!node->str_eqs()[0].is_trivial() || node->str_eqs()[0].m_lhs == node->str_eqs()[0].m_rhs); // After simplification, trivial equalities should be removed seq::simplify_result sr = node->simplify_and_init(ng); VERIFY(sr == seq::simplify_result::satisfied || sr == seq::simplify_result::proceed); std::cout << " ok\n"; } // Test 5: symbol clash conflict ("a" = "b" is unsat) static void test_nseq_symbol_clash() { std::cout << "test_nseq_symbol_clash\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); euf::snode* a = sg.mk_char('a'); euf::snode* b = sg.mk_char('b'); ng.add_str_eq(a, b); auto r = ng.solve(); SASSERT(r == seq::nielsen_graph::search_result::unsat); // verify conflict explanation returns the equality index unsigned_vector eq_idx, mem_idx; ng.explain_conflict(eq_idx, mem_idx); SASSERT(eq_idx.size() == 1); SASSERT(eq_idx[0] == 0); SASSERT(mem_idx.empty()); std::cout << " ok: symbol clash detected as unsat\n"; } // Test 6: variable equality x = x is sat static void test_nseq_var_eq_self() { std::cout << "test_nseq_var_eq_self\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); euf::snode* x = sg.mk_var(symbol("x")); ng.add_str_eq(x, x); auto r = ng.solve(); SASSERT(r == seq::nielsen_graph::search_result::sat); std::cout << " ok: x = x solved as sat\n"; } // Test 7: x·a = x·b is unsat (prefix match then clash) static void test_nseq_prefix_clash() { std::cout << "test_nseq_prefix_clash\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); euf::snode* x = sg.mk_var(symbol("x")); euf::snode* a = sg.mk_char('a'); euf::snode* b = sg.mk_char('b'); euf::snode* xa = sg.mk_concat(x, a); euf::snode* xb = sg.mk_concat(x, b); ng.add_str_eq(xa, xb); auto r = ng.solve(); SASSERT(r == seq::nielsen_graph::search_result::unsat); std::cout << " ok: x·a = x·b detected as unsat\n"; } // Test 8: a·x = a·y has solutions (not unsat) static void test_nseq_const_nielsen_solvable() { std::cout << "test_nseq_const_nielsen_solvable\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); euf::snode* x = sg.mk_var(symbol("x")); euf::snode* y = sg.mk_var(symbol("y")); euf::snode* a = sg.mk_char('a'); euf::snode* ax = sg.mk_concat(a, x); euf::snode* ay = sg.mk_concat(a, y); ng.add_str_eq(ax, ay); auto r = ng.solve(); // a·x = a·y simplifies to x = y which is satisfiable (x = y = ε) SASSERT(r == seq::nielsen_graph::search_result::sat); std::cout << " ok: a·x = a·y solved as sat\n"; } // Test 9: length mismatch - "ab" = "a" is unsat static void test_nseq_length_mismatch() { std::cout << "test_nseq_length_mismatch\n"; ast_manager m; reg_decl_plugins(m); euf::egraph eg(m); euf::sgraph sg(m, eg); seq::nielsen_graph ng(sg); euf::snode* a = sg.mk_char('a'); euf::snode* b = sg.mk_char('b'); euf::snode* ab = sg.mk_concat(a, b); ng.add_str_eq(ab, a); auto r = ng.solve(); SASSERT(r == seq::nielsen_graph::search_result::unsat); std::cout << " ok: ab = a detected as unsat\n"; } void tst_nseq_basic() { test_nseq_instantiation(); test_nseq_param_validation(); test_nseq_simplification(); test_nseq_node_satisfied(); test_nseq_symbol_clash(); test_nseq_var_eq_self(); test_nseq_prefix_clash(); test_nseq_const_nielsen_solvable(); test_nseq_length_mismatch(); std::cout << "nseq_basic: all tests passed\n"; }