Duplicate data is inserted with unique index

I have a table called users with 4 unique columns and when I insert data in email it doesn't give me any error and inserts the data even when when the same value already exists in that column.

Here is my database structure:

$user = "CREATE TABLE IF NOT EXISTS users(
id INT UNSIGNED AUTO_INCREMENT,
fb_id BIGINT UNSIGNED NULL,
google_id BIGINT UNSIGNED NULL,
fname VARCHAR(255) NOT NULL,
lname VARCHAR(255) NULL,
email VARCHAR(320) NOT NULL,
username VARCHAR(20) NULL,
password VARCHAR(255) NULL,
access_token TEXT NULL,
type ENUM('facebook','google','site') NOT NULL,
gender ENUM('m','f','o') NULL,
reg_date DATE NOT NULL,
token_expire DATETIME NULL,
PRIMARY KEY(id),
UNIQUE(email,username,fb_id,google_id)
)";

But, when I create my table with following structure:

$user = "CREATE TABLE IF NOT EXISTS users(
id INT UNSIGNED AUTO_INCREMENT,
fb_id BIGINT UNSIGNED NULL UNIQUE,
google_id BIGINT UNSIGNED NULL UNIQUE,
fname VARCHAR(255) NOT NULL,
lname VARCHAR(255) NULL,
email VARCHAR(320) NOT NULL UNIQUE,
username VARCHAR(20) NULL UNIQUE,
password VARCHAR(255) NULL,
access_token TEXT NULL,
type ENUM('facebook','google','site') NOT NULL,
gender ENUM('m','f','o') NULL,
reg_date DATE NOT NULL,
token_expire DATETIME NULL,
PRIMARY KEY(id)
)";

It gives me an error when there is a duplicate entry.

Creating table with any of those methods doesn't give any error. After creating the tables I have verified with phpmyadmin that all those columns have unique index in both methods.