Based on the error messages provided. It would appear that MySQL is reading the values as an empty string '', in other words NULL which is why you are seeing the 0 values.

I would look closely at the data format in the file. Providing a small sample of the actual data would be helpful.

PROBLEM

You need to insert nothing ?

SOLUTION

Then, insert nothing at all ... literally !!!

One of the following will work

INSERT INTO test2 () VALUES (),(),();
INSERT INTO test2 (test) VALUES (NULL),(NULL),(NULL);
INSERT INTO test2 (id) VALUES (NULL),(NULL),(NULL);

SAMPLE DATA

use test
DROP TABLE IF EXISTS test2;
CREATE TABLE test2
(id int not null auto_increment primary key,
test int not null default 0);
SHOW CREATE TABLE test2\G
SELECT * FROM test2;

SAMPLE DATA LOADED

mysql> use test
Database changed
mysql> DROP TABLE IF EXISTS test2;
Query OK, 0 rows affected (0.11 sec)

mysql> CREATE TABLE test2
    -> (id int not null auto_increment primary key,
    -> test int default 0);
Query OK, 0 rows affected (0.34 sec)

mysql> SHOW CREATE TABLE test2\G
*************************** 1. row ***************************
       Table: test2
Create Table: CREATE TABLE `test2` (
  `id` int(11) NOT NULL AUTO_INCREMENT,
  `test` int(11) NOT NULL DEFAULT '0',
  PRIMARY KEY (`id`)
) ENGINE=InnoDB DEFAULT CHARSET=latin1
1 row in set (0.00 sec)

mysql> SELECT * FROM test2;
Empty set (0.00 sec)

mysql>

QUERIES EXECUTED

If id and test are the only two columns in the table, the INSERT does not need a column list. If there are other columns in test2 besides id and test, name the test column and insert a NULL. Keep in mind, inserting a NULL into a column that has DEFAULT 0 will become 0.

mysql> SELECT * FROM test2;
Empty set (0.00 sec)

mysql> INSERT INTO test2 () VALUES (),(),();
Query OK, 3 rows affected (0.03 sec)
Records: 3  Duplicates: 0  Warnings: 0

mysql> INSERT INTO test2 (test) VALUES (NULL),(NULL),(NULL);
Query OK, 3 rows affected, 3 warnings (0.06 sec)
Records: 3  Duplicates: 0  Warnings: 3

mysql> INSERT INTO test2 (id) VALUES (NULL),(NULL),(NULL);
Query OK, 3 rows affected (0.06 sec)
Records: 3  Duplicates: 0  Warnings: 0

mysql> SELECT * FROM test2;
+----+------+
| id | test |
+----+------+
|  1 |    0 |
|  2 |    0 |
|  3 |    0 |
|  4 |    0 |
|  5 |    0 |
|  6 |    0 |
|  7 |    0 |
|  8 |    0 |
|  9 |    0 |
+----+------+
9 rows in set (0.00 sec)

mysql>

GIVE IT A TRY !!!

CAVEAT #1 : I did this in Windows 8.1 from the command line

mysql> select * from information_schema.global_variables
    -> where variable_name like 'version%';
+-------------------------+------------------------------+
| VARIABLE_NAME           | VARIABLE_VALUE               |
+-------------------------+------------------------------+
| VERSION_COMMENT         | MySQL Community Server (GPL) |
| VERSION_COMPILE_MACHINE | x86_64                       |
| VERSION_COMPILE_OS      | Win64                        |
| VERSION                 | 5.6.15                       |
+-------------------------+------------------------------+
4 rows in set (0.07 sec)

mysql>

CAVEAT #2 : I am using MySQL's default SQL mode. Thus, I did not need to disable anything.