Compare two list of objects without using equals

CompareLists.java

import java.util.ArrayList;
import java.util.List;
import java.util.function.BiFunction;

class ClassCannotBeModified {
    public int a;
    public int b;

    public ClassCannotBeModified(int a, int b) {
        this.a = a;
        this.b = b;
    }
}

public class CompareLists {
    public static final <T> boolean compareListsWithoutEquals(List<T> first, List<T> second, BiFunction<T, T, Boolean> eq) {
        if (first == second) {
            return true;
        }
        if ((first == null && second != null) || (first != null && second == null)) {
            return false;
        }
        if (first.size() != second.size()) {
            return false;
        }
        int neededTrues = first.size();
        int trues = 0;
        for (T f : first) {
            for (T s : second) {
                if (eq.apply(f, s)) {
                    trues++;
                }
            }
        }
        return neededTrues == trues;
    }

    public static void main(String[] args) {
        List<ClassCannotBeModified> first = new ArrayList<>();
        first.add(new ClassCannotBeModified(2, 1));
        first.add(new ClassCannotBeModified(5, 4));
        first.add(new ClassCannotBeModified(7, 9));

        List<ClassCannotBeModified> second = new ArrayList<>();
        second.add(new ClassCannotBeModified(2, 1));
        second.add(new ClassCannotBeModified(5, 4));
        second.add(new ClassCannotBeModified(7, 9));

        boolean listsAreEqual = compareListsWithoutEquals(first, second, (e1, e2) -> {
            return e1.a == e2.a && e1.b == e2.b;
        });
        System.out.println(listsAreEqual);
    }
}