This below files are stored in the compilation folder
\public_html\includes\src\Mage_AdminNotification_Model_Feedincludes\src\Mage_AdminNotification_Model_Feed.php, \public_html\includes\src\Mage_AdminNotification_Model_Observerincludes\src\Mage_AdminNotification_Model_Observer.php, \public_html\includes\src\MSP_Common_Model_Feedincludes\src\MSP_Common_Model_Feed.php
So first navigate to magento root >> includes >> config.php<magento-root>\includes\config.php
and comment both below lines in this config.phpconfig.php
file.
#define('COMPILER_INCLUDE_PATH', dirname(__FILE__).DIRECTORY_SEPARATOR.'src');
#define('COMPILER_COLLECT_PATH', dirname(__FILE__).DIRECTORY_SEPARATOR.'stat');
Than after clear the cache and again do the compile form the admin.