oxiz-solver 0.2.0

Main CDCL(T) Solver API for OxiZ
Documentation
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use super::*;
use num_bigint::BigInt;
use num_traits::ToPrimitive;

#[test]
fn test_solver_empty() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_solver_true() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    solver.assert(t, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_solver_false() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let f = manager.mk_false();
    solver.assert(f, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);
}

#[test]
fn test_solver_push_pop() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let t = manager.mk_true();
    solver.assert(t, &mut manager);
    solver.push();

    let f = manager.mk_false();
    solver.assert(f, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);

    solver.pop();
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_unsat_core_trivial() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    solver.set_produce_unsat_cores(true);

    let t = manager.mk_true();
    let f = manager.mk_false();

    solver.assert_named(t, "a1", &mut manager);
    solver.assert_named(f, "a2", &mut manager);
    solver.assert_named(t, "a3", &mut manager);

    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);

    let core = solver.get_unsat_core();
    assert!(core.is_some());

    let core = core.expect("unsat core should be available after UNSAT result");
    assert!(!core.is_empty());
    assert!(core.names.contains(&"a2".to_string()));
}

#[test]
fn test_unsat_core_not_produced_when_sat() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    solver.set_produce_unsat_cores(true);

    let t = manager.mk_true();
    solver.assert_named(t, "a1", &mut manager);
    solver.assert_named(t, "a2", &mut manager);

    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
    assert!(solver.get_unsat_core().is_none());
}

#[test]
fn test_unsat_core_disabled() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    // Don't enable unsat cores

    let f = manager.mk_false();
    solver.assert(f, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);

    // Core should be None when not enabled
    assert!(solver.get_unsat_core().is_none());
}

#[test]
fn test_boolean_encoding_and() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Test: (p and q) should be SAT with p=true, q=true
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let and = manager.mk_and(vec![p, q]);

    solver.assert(and, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    // The model should have both p and q as true
    let model = solver.model().expect("Should have model");
    assert!(model.get(p).is_some());
    assert!(model.get(q).is_some());
}

#[test]
fn test_boolean_encoding_or() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Test: (p or q) and (not p) should be SAT with q=true
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let or = manager.mk_or(vec![p, q]);
    let not_p = manager.mk_not(p);

    solver.assert(or, &mut manager);
    solver.assert(not_p, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_boolean_encoding_implies() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Test: (p => q) and p and (not q) should be UNSAT
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let implies = manager.mk_implies(p, q);
    let not_q = manager.mk_not(q);

    solver.assert(implies, &mut manager);
    solver.assert(p, &mut manager);
    solver.assert(not_q, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);
}

#[test]
fn test_boolean_encoding_distinct() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Test: distinct(p, q, r) and p and q should be UNSAT (since p=q)
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let r = manager.mk_var("r", manager.sorts.bool_sort);
    let distinct = manager.mk_distinct(vec![p, q, r]);

    solver.assert(distinct, &mut manager);
    solver.assert(p, &mut manager);
    solver.assert(q, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);
}

#[test]
fn test_model_evaluation_bool() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    // Assert p and not q
    solver.assert(p, &mut manager);
    solver.assert(manager.mk_not(q), &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    let model = solver.model().expect("Should have model");

    // Evaluate p (should be true)
    let p_val = model.eval(p, &mut manager);
    assert_eq!(p_val, manager.mk_true());

    // Evaluate q (should be false)
    let q_val = model.eval(q, &mut manager);
    assert_eq!(q_val, manager.mk_false());

    // Evaluate (p and q) - should be false
    let and_term = manager.mk_and(vec![p, q]);
    let and_val = model.eval(and_term, &mut manager);
    assert_eq!(and_val, manager.mk_false());

    // Evaluate (p or q) - should be true
    let or_term = manager.mk_or(vec![p, q]);
    let or_val = model.eval(or_term, &mut manager);
    assert_eq!(or_val, manager.mk_true());
}

#[test]
fn test_model_evaluation_ite() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let r = manager.mk_var("r", manager.sorts.bool_sort);

    // Assert p
    solver.assert(p, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    let model = solver.model().expect("Should have model");

    // Evaluate (ite p q r) - should evaluate to q since p is true
    let ite_term = manager.mk_ite(p, q, r);
    let ite_val = model.eval(ite_term, &mut manager);
    // The result should be q's value (whatever it is in the model)
    let q_val = model.eval(q, &mut manager);
    assert_eq!(ite_val, q_val);
}

#[test]
fn test_model_evaluation_implies() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    // Assert not p
    solver.assert(manager.mk_not(p), &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    let model = solver.model().expect("Should have model");

    // Evaluate (p => q) - should be true since p is false
    let implies_term = manager.mk_implies(p, q);
    let implies_val = model.eval(implies_term, &mut manager);
    assert_eq!(implies_val, manager.mk_true());
}

/// Test BV comparison model extraction: 5 < x < 10 should give x in [6, 9].
///
/// Known issue: BV model extraction currently returns default value (0) instead of
/// the actual satisfying assignment. The solver correctly returns SAT, but model
/// extraction for BV variables needs to be improved.
#[test]
#[ignore = "Known BV model extraction issue - solver returns SAT but model extraction returns 0"]
fn test_bv_comparison_model_generation() {
    // Test BV comparison: 5 < x < 10 should give x in range [6, 9]
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    solver.set_logic("QF_BV");

    // Create BitVec[8] variable
    let bv8_sort = manager.sorts.bitvec(8);
    let x = manager.mk_var("x", bv8_sort);

    // Create constants
    let five = manager.mk_bitvec(5i64, 8);
    let ten = manager.mk_bitvec(10i64, 8);

    // Assert: 5 < x (unsigned)
    let lt1 = manager.mk_bv_ult(five, x);
    solver.assert(lt1, &mut manager);

    // Assert: x < 10 (unsigned)
    let lt2 = manager.mk_bv_ult(x, ten);
    solver.assert(lt2, &mut manager);

    let result = solver.check(&mut manager);
    assert_eq!(result, SolverResult::Sat);

    // Check that we get a valid model
    let model = solver.model().expect("Should have model");

    // Get the value of x
    if let Some(x_value_id) = model.get(x)
        && let Some(x_term) = manager.get(x_value_id)
        && let TermKind::BitVecConst { value, .. } = &x_term.kind
    {
        let x_val = value.to_u64().unwrap_or(0);
        // x should be in range [6, 9]
        assert!(
            (6..=9).contains(&x_val),
            "Expected x in [6,9], got {}",
            x_val
        );
    }
}

#[test]
fn test_arithmetic_model_generation() {
    use num_bigint::BigInt;

    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Create integer variables
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let y = manager.mk_var("y", manager.sorts.int_sort);

    // Create constraints: x + y = 10, x >= 0, y >= 0
    let ten = manager.mk_int(BigInt::from(10));
    let zero = manager.mk_int(BigInt::from(0));
    let sum = manager.mk_add(vec![x, y]);

    let eq = manager.mk_eq(sum, ten);
    let x_ge_0 = manager.mk_ge(x, zero);
    let y_ge_0 = manager.mk_ge(y, zero);

    solver.assert(eq, &mut manager);
    solver.assert(x_ge_0, &mut manager);
    solver.assert(y_ge_0, &mut manager);

    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    // Check that we can get a model (even if the arithmetic values aren't fully computed yet)
    let model = solver.model();
    assert!(model.is_some(), "Should have a model for SAT result");
}

#[test]
fn test_model_pretty_print() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    solver.assert(p, &mut manager);
    solver.assert(manager.mk_not(q), &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);

    let model = solver.model().expect("Should have model");
    let pretty = model.pretty_print(&manager);

    // Should contain the model structure
    assert!(pretty.contains("(model"));
    assert!(pretty.contains("define-fun"));
    // Should contain variable names
    assert!(pretty.contains("p") || pretty.contains("q"));
}

#[test]
fn test_trail_based_undo_assertions() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    // Initial state
    assert_eq!(solver.assertions.len(), 0);
    assert_eq!(solver.trail.len(), 0);

    // Assert p
    solver.assert(p, &mut manager);
    assert_eq!(solver.assertions.len(), 1);
    assert!(!solver.trail.is_empty());

    // Push and assert q
    solver.push();
    let trail_len_after_push = solver.trail.len();
    solver.assert(q, &mut manager);
    assert_eq!(solver.assertions.len(), 2);
    assert!(solver.trail.len() > trail_len_after_push);

    // Pop should undo the second assertion
    solver.pop();
    assert_eq!(solver.assertions.len(), 1);
    assert_eq!(solver.assertions[0], p);
}

#[test]
fn test_trail_based_undo_variables() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    // Assert p creates variables
    solver.assert(p, &mut manager);
    let initial_var_count = solver.term_to_var.len();

    // Push and assert q
    solver.push();
    solver.assert(q, &mut manager);
    assert!(solver.term_to_var.len() >= initial_var_count);

    // Pop should remove q's variable
    solver.pop();
    // Note: Some variables may remain due to encoding, but q should be removed
    assert_eq!(solver.assertions.len(), 1);
}

#[test]
fn test_trail_based_undo_constraints() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let x = manager.mk_var("x", manager.sorts.int_sort);
    let zero = manager.mk_int(BigInt::from(0));

    // Assert x >= 0 creates a constraint
    let c1 = manager.mk_ge(x, zero);
    solver.assert(c1, &mut manager);
    let initial_constraint_count = solver.var_to_constraint.len();

    // Push and add another constraint
    solver.push();
    let ten = manager.mk_int(BigInt::from(10));
    let c2 = manager.mk_le(x, ten);
    solver.assert(c2, &mut manager);
    assert!(solver.var_to_constraint.len() >= initial_constraint_count);

    // Pop should remove the second constraint
    solver.pop();
    assert_eq!(solver.var_to_constraint.len(), initial_constraint_count);
}

#[test]
fn test_trail_based_undo_false_assertion() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    assert!(!solver.has_false_assertion);

    solver.push();
    solver.assert(manager.mk_false(), &mut manager);
    assert!(solver.has_false_assertion);

    solver.pop();
    assert!(!solver.has_false_assertion);
}

#[test]
fn test_trail_based_undo_named_assertions() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    solver.set_produce_unsat_cores(true);

    let p = manager.mk_var("p", manager.sorts.bool_sort);

    solver.assert_named(p, "assertion1", &mut manager);
    assert_eq!(solver.named_assertions.len(), 1);

    solver.push();
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    solver.assert_named(q, "assertion2", &mut manager);
    assert_eq!(solver.named_assertions.len(), 2);

    solver.pop();
    assert_eq!(solver.named_assertions.len(), 1);
    assert_eq!(
        solver.named_assertions[0].name,
        Some("assertion1".to_string())
    );
}

#[test]
fn test_trail_based_undo_nested_push_pop() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    solver.assert(p, &mut manager);

    // First push
    solver.push();
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    solver.assert(q, &mut manager);
    assert_eq!(solver.assertions.len(), 2);

    // Second push
    solver.push();
    let r = manager.mk_var("r", manager.sorts.bool_sort);
    solver.assert(r, &mut manager);
    assert_eq!(solver.assertions.len(), 3);

    // Pop once
    solver.pop();
    assert_eq!(solver.assertions.len(), 2);

    // Pop again
    solver.pop();
    assert_eq!(solver.assertions.len(), 1);
    assert_eq!(solver.assertions[0], p);
}

#[test]
fn test_config_presets() {
    // Test that all presets can be created without panicking
    let _fast = SolverConfig::fast();
    let _balanced = SolverConfig::balanced();
    let _thorough = SolverConfig::thorough();
    let _minimal = SolverConfig::minimal();
}

#[test]
fn test_config_fast_characteristics() {
    let config = SolverConfig::fast();

    // Fast config should disable expensive features
    assert!(!config.enable_variable_elimination);
    assert!(!config.enable_blocked_clause_elimination);
    assert!(!config.enable_symmetry_breaking);
    assert!(!config.enable_inprocessing);
    assert!(!config.enable_clause_subsumption);

    // But keep fast optimizations
    assert!(config.enable_clause_minimization);
    assert!(config.simplify);

    // Should use Geometric restarts (faster)
    assert_eq!(config.restart_strategy, RestartStrategy::Geometric);
}

#[test]
fn test_config_balanced_characteristics() {
    let config = SolverConfig::balanced();

    // Balanced should enable most features with moderate settings
    assert!(config.enable_variable_elimination);
    assert!(config.enable_blocked_clause_elimination);
    assert!(config.enable_inprocessing);
    assert!(config.enable_clause_minimization);
    assert!(config.enable_clause_subsumption);
    assert!(config.simplify);

    // But not the most expensive one
    assert!(!config.enable_symmetry_breaking);

    // Should use Glucose restarts (adaptive)
    assert_eq!(config.restart_strategy, RestartStrategy::Glucose);

    // Conservative limits
    assert_eq!(config.variable_elimination_limit, 1000);
    assert_eq!(config.inprocessing_interval, 10000);
}

#[test]
fn test_config_thorough_characteristics() {
    let config = SolverConfig::thorough();

    // Thorough should enable all features
    assert!(config.enable_variable_elimination);
    assert!(config.enable_blocked_clause_elimination);
    assert!(config.enable_symmetry_breaking); // Even this expensive one
    assert!(config.enable_inprocessing);
    assert!(config.enable_clause_minimization);
    assert!(config.enable_clause_subsumption);
    assert!(config.simplify);

    // Aggressive settings
    assert_eq!(config.variable_elimination_limit, 5000);
    assert_eq!(config.inprocessing_interval, 5000);
}

#[test]
fn test_config_minimal_characteristics() {
    let config = SolverConfig::minimal();

    // Minimal should disable everything optional
    assert!(!config.simplify);
    assert!(!config.enable_variable_elimination);
    assert!(!config.enable_blocked_clause_elimination);
    assert!(!config.enable_symmetry_breaking);
    assert!(!config.enable_inprocessing);
    assert!(!config.enable_clause_minimization);
    assert!(!config.enable_clause_subsumption);

    // Should use lazy theory mode for minimal overhead
    assert_eq!(config.theory_mode, TheoryMode::Lazy);

    // Single threaded
    assert_eq!(config.num_threads, 1);
}

#[test]
fn test_config_builder_pattern() {
    // Test the builder-style methods
    let config = SolverConfig::fast()
        .with_proof()
        .with_timeout(5000)
        .with_max_conflicts(1000)
        .with_max_decisions(2000)
        .with_parallel(8)
        .with_restart_strategy(RestartStrategy::Luby)
        .with_theory_mode(TheoryMode::Lazy);

    assert!(config.proof);
    assert_eq!(config.timeout_ms, 5000);
    assert_eq!(config.max_conflicts, 1000);
    assert_eq!(config.max_decisions, 2000);
    assert!(config.parallel);
    assert_eq!(config.num_threads, 8);
    assert_eq!(config.restart_strategy, RestartStrategy::Luby);
    assert_eq!(config.theory_mode, TheoryMode::Lazy);
}

#[test]
fn test_solver_with_different_configs() {
    let mut manager = TermManager::new();

    // Create solvers with different configs
    let mut solver_fast = Solver::with_config(SolverConfig::fast());
    let mut solver_balanced = Solver::with_config(SolverConfig::balanced());
    let mut solver_thorough = Solver::with_config(SolverConfig::thorough());
    let mut solver_minimal = Solver::with_config(SolverConfig::minimal());

    // They should all solve a simple problem correctly
    let t = manager.mk_true();
    solver_fast.assert(t, &mut manager);
    solver_balanced.assert(t, &mut manager);
    solver_thorough.assert(t, &mut manager);
    solver_minimal.assert(t, &mut manager);

    assert_eq!(solver_fast.check(&mut manager), SolverResult::Sat);
    assert_eq!(solver_balanced.check(&mut manager), SolverResult::Sat);
    assert_eq!(solver_thorough.check(&mut manager), SolverResult::Sat);
    assert_eq!(solver_minimal.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_config_default_is_balanced() {
    let default = SolverConfig::default();
    let balanced = SolverConfig::balanced();

    // Default should be the same as balanced
    assert_eq!(
        default.enable_variable_elimination,
        balanced.enable_variable_elimination
    );
    assert_eq!(
        default.enable_clause_minimization,
        balanced.enable_clause_minimization
    );
    assert_eq!(
        default.enable_symmetry_breaking,
        balanced.enable_symmetry_breaking
    );
    assert_eq!(default.restart_strategy, balanced.restart_strategy);
}

#[test]
fn test_theory_combination_arith_solver() {
    use oxiz_theories::arithmetic::ArithSolver;
    use oxiz_theories::{EqualityNotification, TheoryCombination};

    let mut arith = ArithSolver::lra();
    let mut manager = TermManager::new();

    // Create two arithmetic variables
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let y = manager.mk_var("y", manager.sorts.int_sort);

    // Intern them in the arithmetic solver
    let _x_var = arith.intern(x);
    let _y_var = arith.intern(y);

    // Test notify_equality with relevant terms
    let eq_notification = EqualityNotification {
        lhs: x,
        rhs: y,
        reason: None,
    };

    let accepted = arith.notify_equality(eq_notification);
    assert!(
        accepted,
        "ArithSolver should accept equality notification for known terms"
    );

    // Test is_relevant
    assert!(
        arith.is_relevant(x),
        "x should be relevant to arithmetic solver"
    );
    assert!(
        arith.is_relevant(y),
        "y should be relevant to arithmetic solver"
    );

    // Test with unknown term
    let z = manager.mk_var("z", manager.sorts.int_sort);
    assert!(
        !arith.is_relevant(z),
        "z should not be relevant (not interned)"
    );

    // Test notify_equality with unknown terms
    let eq_unknown = EqualityNotification {
        lhs: x,
        rhs: z,
        reason: None,
    };
    let accepted_unknown = arith.notify_equality(eq_unknown);
    assert!(
        !accepted_unknown,
        "ArithSolver should reject equality with unknown term"
    );
}

#[test]
fn test_theory_combination_get_shared_equalities() {
    use oxiz_theories::TheoryCombination;

    let arith = ArithSolver::lra();

    // Test get_shared_equalities
    let shared = arith.get_shared_equalities();
    assert!(
        shared.is_empty(),
        "ArithSolver should return empty shared equalities (placeholder)"
    );
}

#[test]
fn test_equality_notification_fields() {
    use oxiz_theories::EqualityNotification;

    let mut manager = TermManager::new();
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let y = manager.mk_var("y", manager.sorts.int_sort);

    // Test with reason
    let eq1 = EqualityNotification {
        lhs: x,
        rhs: y,
        reason: Some(x),
    };
    assert_eq!(eq1.lhs, x);
    assert_eq!(eq1.rhs, y);
    assert_eq!(eq1.reason, Some(x));

    // Test without reason
    let eq2 = EqualityNotification {
        lhs: x,
        rhs: y,
        reason: None,
    };
    assert_eq!(eq2.reason, None);

    // Test equality and cloning
    let eq3 = eq1;
    assert_eq!(eq3.lhs, eq1.lhs);
    assert_eq!(eq3.rhs, eq1.rhs);
}

#[test]
fn test_assert_many() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    let r = manager.mk_var("r", manager.sorts.bool_sort);

    // Assert multiple terms at once
    solver.assert_many(&[p, q, r], &mut manager);

    assert_eq!(solver.num_assertions(), 3);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_num_assertions_and_variables() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    assert_eq!(solver.num_assertions(), 0);
    assert!(!solver.has_assertions());

    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);

    solver.assert(p, &mut manager);
    assert_eq!(solver.num_assertions(), 1);
    assert!(solver.has_assertions());

    solver.assert(q, &mut manager);
    assert_eq!(solver.num_assertions(), 2);

    // Variables are created during encoding
    assert!(solver.num_variables() > 0);
}

#[test]
fn test_context_level() {
    let mut solver = Solver::new();

    assert_eq!(solver.context_level(), 0);

    solver.push();
    assert_eq!(solver.context_level(), 1);

    solver.push();
    assert_eq!(solver.context_level(), 2);

    solver.pop();
    assert_eq!(solver.context_level(), 1);

    solver.pop();
    assert_eq!(solver.context_level(), 0);
}

// ===== Quantifier Tests =====

#[test]
fn test_quantifier_basic_forall() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let bool_sort = manager.sorts.bool_sort;

    // Create: forall x. P(x)
    // This asserts P holds for all x
    let x = manager.mk_var("x", bool_sort);
    let p_x = manager.mk_apply("P", [x], bool_sort);
    let forall = manager.mk_forall([("x", bool_sort)], p_x);

    solver.assert(forall, &mut manager);

    // The solver should handle the quantifier (may return sat, unknown, or use MBQI)
    let result = solver.check(&mut manager);
    // Quantifiers without ground terms typically return sat (trivially satisfied)
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Basic forall should not be unsat"
    );
}

#[test]
fn test_quantifier_basic_exists() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let bool_sort = manager.sorts.bool_sort;

    // Create: exists x. P(x)
    let x = manager.mk_var("x", bool_sort);
    let p_x = manager.mk_apply("P", [x], bool_sort);
    let exists = manager.mk_exists([("x", bool_sort)], p_x);

    solver.assert(exists, &mut manager);

    let result = solver.check(&mut manager);
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Basic exists should not be unsat"
    );
}

#[test]
fn test_quantifier_with_ground_terms() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;
    let bool_sort = manager.sorts.bool_sort;

    // Create ground terms for instantiation
    let zero = manager.mk_int(0);
    let one = manager.mk_int(1);

    // P(0) = true and P(1) = true
    let p_0 = manager.mk_apply("P", [zero], bool_sort);
    let p_1 = manager.mk_apply("P", [one], bool_sort);
    solver.assert(p_0, &mut manager);
    solver.assert(p_1, &mut manager);

    // forall x. P(x) - should be satisfiable with the given ground terms
    let x = manager.mk_var("x", int_sort);
    let p_x = manager.mk_apply("P", [x], bool_sort);
    let forall = manager.mk_forall([("x", int_sort)], p_x);
    solver.assert(forall, &mut manager);

    let result = solver.check(&mut manager);
    // MBQI should find that P(0) and P(1) satisfy the quantifier
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Quantifier with matching ground terms should be satisfiable"
    );
}

#[test]
fn test_quantifier_instantiation() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;
    let bool_sort = manager.sorts.bool_sort;

    // Create a ground term
    let c = manager.mk_apply("c", [], int_sort);

    // Assert: forall x. f(x) > 0
    let x = manager.mk_var("x", int_sort);
    let f_x = manager.mk_apply("f", [x], int_sort);
    let zero = manager.mk_int(0);
    let f_x_gt_0 = manager.mk_gt(f_x, zero);
    let forall = manager.mk_forall([("x", int_sort)], f_x_gt_0);
    solver.assert(forall, &mut manager);

    // Assert: f(c) exists (provides instantiation candidate)
    let f_c = manager.mk_apply("f", [c], int_sort);
    let f_c_exists = manager.mk_apply("exists_f_c", [f_c], bool_sort);
    solver.assert(f_c_exists, &mut manager);

    let result = solver.check(&mut manager);
    // MBQI should instantiate the quantifier with c
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Quantifier instantiation test"
    );
}

#[test]
fn test_quantifier_mbqi_solver_integration() {
    use crate::mbqi::MBQIIntegration;

    let mut mbqi = MBQIIntegration::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;

    // Create a universal quantifier
    let x = manager.mk_var("x", int_sort);
    let zero = manager.mk_int(0);
    let x_gt_0 = manager.mk_gt(x, zero);
    let forall = manager.mk_forall([("x", int_sort)], x_gt_0);

    // Add the quantifier to MBQI
    mbqi.add_quantifier(forall, &manager);

    // Add some candidate terms
    let one = manager.mk_int(1);
    let two = manager.mk_int(2);
    mbqi.add_candidate(one, int_sort);
    mbqi.add_candidate(two, int_sort);

    // Check that MBQI tracks the quantifier
    assert!(mbqi.is_enabled(), "MBQI should be enabled by default");
}

#[test]
fn test_quantifier_pattern_matching() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;

    // Create: forall x. (f(x) = g(x)) with pattern f(x)
    let x = manager.mk_var("x", int_sort);
    let f_x = manager.mk_apply("f", [x], int_sort);
    let g_x = manager.mk_apply("g", [x], int_sort);
    let body = manager.mk_eq(f_x, g_x);

    // Create pattern
    let pattern: smallvec::SmallVec<[_; 2]> = smallvec::smallvec![f_x];
    let patterns: smallvec::SmallVec<[_; 2]> = smallvec::smallvec![pattern];

    let forall = manager.mk_forall_with_patterns([("x", int_sort)], body, patterns);
    solver.assert(forall, &mut manager);

    // Add ground term f(c) to trigger pattern matching
    let c = manager.mk_apply("c", [], int_sort);
    let f_c = manager.mk_apply("f", [c], int_sort);
    let f_c_eq_c = manager.mk_eq(f_c, c);
    solver.assert(f_c_eq_c, &mut manager);

    let result = solver.check(&mut manager);
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Pattern matching should allow instantiation"
    );
}

#[test]
fn test_quantifier_multiple() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;

    // Create: forall x. forall y. x + y = y + x (commutativity)
    let x = manager.mk_var("x", int_sort);
    let y = manager.mk_var("y", int_sort);
    let x_plus_y = manager.mk_add([x, y]);
    let y_plus_x = manager.mk_add([y, x]);
    let commutative = manager.mk_eq(x_plus_y, y_plus_x);

    let inner_forall = manager.mk_forall([("y", int_sort)], commutative);
    let outer_forall = manager.mk_forall([("x", int_sort)], inner_forall);

    solver.assert(outer_forall, &mut manager);

    let result = solver.check(&mut manager);
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Nested forall should be handled"
    );
}

#[test]
fn test_quantifier_with_model() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let bool_sort = manager.sorts.bool_sort;

    // Simple satisfiable formula with quantifier
    let p = manager.mk_var("p", bool_sort);
    solver.assert(p, &mut manager);

    // Add a trivial quantifier (x OR NOT x is always true)
    let x = manager.mk_var("x", bool_sort);
    let not_x = manager.mk_not(x);
    let x_or_not_x = manager.mk_or([x, not_x]);
    let tautology = manager.mk_forall([("x", bool_sort)], x_or_not_x);
    solver.assert(tautology, &mut manager);

    let result = solver.check(&mut manager);
    assert!(
        result == SolverResult::Sat || result == SolverResult::Unknown,
        "Tautology in quantifier should be SAT or Unknown (MBQI in progress)"
    );

    // Check that we can get a model if Sat
    if result == SolverResult::Sat
        && let Some(model) = solver.model()
    {
        assert!(model.size() > 0, "Model should have assignments");
    }
}

#[test]
fn test_quantifier_push_pop() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let int_sort = manager.sorts.int_sort;

    // Assert base formula
    let x = manager.mk_var("x", int_sort);
    let zero = manager.mk_int(0);
    let x_gt_0 = manager.mk_gt(x, zero);
    let forall = manager.mk_forall([("x", int_sort)], x_gt_0);

    solver.push();
    solver.assert(forall, &mut manager);

    let result1 = solver.check(&mut manager);
    // forall x. x > 0 is invalid (counterexample: x = 0 or x = -1)
    // So the solver should return Unsat or Unknown
    assert!(
        result1 == SolverResult::Unsat || result1 == SolverResult::Unknown,
        "forall x. x > 0 should be Unsat or Unknown, got {:?}",
        result1
    );

    solver.pop();

    // After pop, the quantifier assertion should be gone
    let result2 = solver.check(&mut manager);
    assert_eq!(
        result2,
        SolverResult::Sat,
        "After pop, should be trivially SAT"
    );
}

/// Test that integer contradictions are correctly detected as UNSAT.
///
/// This tests that strict inequalities are properly handled for LIA (integers):
/// - x >= 0 AND x < 0 should be UNSAT
/// - For integers, x < 0 is equivalent to x <= -1
#[test]
fn test_integer_contradiction_unsat() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    // Create integer variable x
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let zero = manager.mk_int(BigInt::from(0));

    // Assert x >= 0
    let x_ge_0 = manager.mk_ge(x, zero);
    solver.assert(x_ge_0, &mut manager);

    // Assert x < 0 (contradicts x >= 0)
    let x_lt_0 = manager.mk_lt(x, zero);
    solver.assert(x_lt_0, &mut manager);

    // Should be UNSAT because x cannot be both >= 0 and < 0
    let result = solver.check(&mut manager);
    assert_eq!(
        result,
        SolverResult::Unsat,
        "x >= 0 AND x < 0 should be UNSAT"
    );
}

/// Test the specific bug case: x > 5 AND x < 6 should be UNSAT for integers.
///
/// For integers, there is no value in the open interval (5, 6).
/// The fix transforms strict inequalities for LIA:
/// - x > 5 becomes x >= 6
/// - x < 6 becomes x <= 5
///
/// Together: x >= 6 AND x <= 5, which is impossible.
#[test]
fn test_lia_empty_interval_unsat() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();

    solver.set_logic("QF_LIA");

    // Create integer variable x
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let five = manager.mk_int(BigInt::from(5));
    let six = manager.mk_int(BigInt::from(6));

    // Assert x > 5 (for integers, becomes x >= 6)
    let x_gt_5 = manager.mk_gt(x, five);
    solver.assert(x_gt_5, &mut manager);

    // Assert x < 6 (for integers, becomes x <= 5)
    let x_lt_6 = manager.mk_lt(x, six);
    solver.assert(x_lt_6, &mut manager);

    // Should be UNSAT: no integer in (5, 6)
    let result = solver.check(&mut manager);
    assert_eq!(
        result,
        SolverResult::Unsat,
        "x > 5 AND x < 6 should be UNSAT for integers (no integer in open interval)"
    );
}

#[test]
fn test_fp_constraint_data_not_empty() {
    use super::types::FpConstraintData;

    let mut data = FpConstraintData::new();
    data.equalities.push((TermId::new(1), TermId::new(2)));
    assert!(!data.is_empty());
}

// ============================================================================

// Task 2: Model Cache Tests
// ============================================================================

#[test]
fn test_model_cache_basic() {
    use super::types::ModelCache;

    let _manager = TermManager::new();
    let model = Model::new();
    let cache = ModelCache::new(model);

    assert_eq!(cache.cache_size(), 0);
    assert_eq!(cache.model_size(), 0);
}

#[test]
fn test_model_cache_lazy_eval() {
    use super::types::ModelCache;

    let mut manager = TermManager::new();
    let mut model = Model::new();

    let t = manager.mk_true();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    model.set(p, t);

    let mut cache = ModelCache::new(model);

    // First eval should miss cache
    let result = cache.eval_lazy(p, &mut manager);
    assert_eq!(result, t);
    assert_eq!(cache.cache_stats(), (0, 1)); // 0 hits, 1 miss

    // Second eval should hit cache
    let result2 = cache.eval_lazy(p, &mut manager);
    assert_eq!(result2, t);
    assert_eq!(cache.cache_stats(), (1, 1)); // 1 hit, 1 miss
}

#[test]
fn test_model_cache_invalidate() {
    use super::types::ModelCache;

    let mut manager = TermManager::new();
    let mut model = Model::new();

    let t = manager.mk_true();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    model.set(p, t);

    let mut cache = ModelCache::new(model);
    let _ = cache.eval_lazy(p, &mut manager);
    assert_eq!(cache.cache_size(), 1);

    cache.invalidate();
    assert_eq!(cache.cache_size(), 0);
}

#[test]
fn test_model_cache_is_cached() {
    use super::types::ModelCache;

    let mut manager = TermManager::new();
    let model = Model::new();
    let mut cache = ModelCache::new(model);

    let t = manager.mk_true();
    assert!(!cache.is_cached(t));

    let _ = cache.eval_lazy(t, &mut manager);
    assert!(cache.is_cached(t));
}

#[test]
fn test_model_cache_batch_eval() {
    use super::types::ModelCache;

    let mut manager = TermManager::new();
    let mut model = Model::new();

    let t = manager.mk_true();
    let f = manager.mk_false();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let q = manager.mk_var("q", manager.sorts.bool_sort);
    model.set(p, t);
    model.set(q, f);

    let mut cache = ModelCache::new(model);
    let results = cache.eval_batch(&[p, q], &mut manager);
    assert_eq!(results.len(), 2);
    assert_eq!(results[0], t);
    assert_eq!(results[1], f);
}

// ============================================================================

// Task 3: Parallel Theory Checking Tests
// (feature-gated - these test the data structures that support parallel checking)
// ============================================================================

// Task 5: Lazy Evaluation Tests

// Task 1: Additional FP cache tests

#[test]
fn test_fp_constraint_cache_empty_on_new_solver() {
    let solver = Solver::new();
    assert!(solver.fp_constraint_cache.is_empty());
}

#[test]
fn test_fp_constraint_cache_cleared_on_assert() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    solver.assert(t, &mut manager);
    assert!(solver.fp_constraint_cache.is_empty());
}

#[test]
fn test_fp_constraint_data_new_is_empty() {
    use super::types::FpConstraintData;
    let data = FpConstraintData::new();
    assert!(data.is_empty());
    assert!(data.equalities.is_empty());
    assert!(data.gt_comparisons.is_empty());
}

#[test]
fn test_fp_constraint_data_merge_combines() {
    use super::types::FpConstraintData;
    let mut data1 = FpConstraintData::new();
    let mut data2 = FpConstraintData::new();
    let t1 = TermId::new(10);
    let t2 = TermId::new(20);
    data1.equalities.push((t1, t2));
    data2.gt_comparisons.push((t1, t2));
    data1.merge(&data2);
    assert_eq!(data1.equalities.len(), 1);
    assert_eq!(data1.gt_comparisons.len(), 1);
}

#[test]
fn test_fp_constraint_data_literals_merge() {
    use super::types::FpConstraintData;
    let mut data1 = FpConstraintData::new();
    let mut data2 = FpConstraintData::new();
    data1.literals.insert(TermId::new(1), 1.0);
    data2.literals.insert(TermId::new(2), 2.0);
    data1.merge(&data2);
    assert_eq!(data1.literals.len(), 2);
}

// Task 2: Additional Model Cache tests

#[test]
fn test_model_cache_into_model() {
    use super::types::ModelCache;
    let model = Model::new();
    let cache = ModelCache::new(model);
    let _model_back = cache.into_model();
}

#[test]
fn test_model_cache_stats_initial() {
    use super::types::ModelCache;
    let model = Model::new();
    let cache = ModelCache::new(model);
    assert_eq!(cache.cache_stats(), (0, 0));
    assert_eq!(cache.cache_size(), 0);
}

// Task 3: Parallel theory tests

#[test]
fn test_parallel_theories_eq_diseq_contradiction() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let y = manager.mk_var("y", manager.sorts.int_sort);
    let eq = manager.mk_eq(x, y);
    let neq = manager.mk_not(eq);
    solver.assert(eq, &mut manager);
    solver.assert(neq, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);
}

#[test]
fn test_parallel_theories_arith_bounds_unsat() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let five = manager.mk_int(5i64);
    let three = manager.mk_int(3i64);
    let ge5 = manager.mk_ge(x, five);
    let lt3 = manager.mk_lt(x, three);
    solver.assert(ge5, &mut manager);
    solver.assert(lt3, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Unsat);
}

#[test]
fn test_parallel_theories_mixed_sat() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let five = manager.mk_int(5i64);
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let ge = manager.mk_ge(x, five);
    solver.assert(ge, &mut manager);
    solver.assert(p, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_parallel_theories_lazy_mode() {
    let mut solver = Solver::new();
    solver.config.theory_mode = TheoryMode::Lazy;
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    solver.assert(t, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_parallel_theories_eager_mode() {
    let mut solver = Solver::new();
    solver.config.theory_mode = TheoryMode::Eager;
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    solver.assert(t, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

// Task 5: Lazy eval tests

#[test]
fn test_lazy_eval_and_simplification() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let and = manager.mk_and(vec![t, p]);
    solver.assert(and, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_lazy_eval_or_with_false() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let f = manager.mk_false();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let or = manager.mk_or(vec![f, p]);
    solver.assert(or, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_lazy_eval_ite_true_branch() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let t = manager.mk_true();
    let x = manager.mk_var("x", manager.sorts.bool_sort);
    let y = manager.mk_var("y", manager.sorts.bool_sort);
    let ite = manager.mk_ite(t, x, y);
    solver.assert(ite, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_lazy_eval_double_negation() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let p = manager.mk_var("p", manager.sorts.bool_sort);
    let not_p = manager.mk_not(p);
    let not_not_p = manager.mk_not(not_p);
    solver.assert(not_not_p, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}

#[test]
fn test_lazy_eval_eq_reflexive() {
    let mut solver = Solver::new();
    let mut manager = TermManager::new();
    let x = manager.mk_var("x", manager.sorts.int_sort);
    let eq = manager.mk_eq(x, x);
    solver.assert(eq, &mut manager);
    assert_eq!(solver.check(&mut manager), SolverResult::Sat);
}