#include <typeinfo>
#include <cassert>

class A {
public:
    virtual ~A() {}
};

class B : public A {
public:
    virtual ~B() {}
};

class C {
public:
    virtual ~C() {}
};

void verify_typeid_consistency() {
    // PROPERTY: typeid should be consistent for same types
    const std::type_info& t1 = typeid(int);
    const std::type_info& t2 = typeid(int);

    assert(t1 == t2);  // Same type should be equal
    assert(!(t1 != t2)); // Negation should hold
}

void verify_typeid_distinction() {
    // PROPERTY: typeid should distinguish different types
    const std::type_info& int_type = typeid(int);
    const std::type_info& double_type = typeid(double);
    const std::type_info& char_type = typeid(char);

    assert(int_type != double_type);
    assert(double_type != char_type);
    assert(int_type != char_type);
}

void verify_operator_properties() {
    // PROPERTY: Operators should satisfy mathematical properties
    const std::type_info& t1 = typeid(int);
    const std::type_info& t2 = typeid(double);
    const std::type_info& t3 = typeid(char);

    // Reflexivity: a == a
    assert(t1 == t1);
    assert(t2 == t2);
    assert(t3 == t3);

    // Symmetry: if a != b, then b != a
    if (t1 != t2) {
        assert(t2 != t1);
    }

    // before() should provide strict weak ordering
    bool b1 = t1.before(t2);
    bool b2 = t2.before(t1);
    assert(!(b1 && b2)); // Can't both be true
}

void verify_name_function() {
    // PROPERTY: name() should always return valid pointer
    const std::type_info& t1 = typeid(int);
    const std::type_info& t2 = typeid(A);
    const std::type_info& t3 = typeid(B);

    assert(t1.name() != nullptr);
    assert(t2.name() != nullptr);
    assert(t3.name() != nullptr);
}

int main() {
    // Run all verification tests
    verify_typeid_consistency();
    verify_typeid_distinction();
    verify_operator_properties();
    verify_name_function();

    return 0;
}
