From the messages log:
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 76: Duplicate column name 'File_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 82: Duplicate column name 'Grant_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 83: Duplicate column name 'Grant_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 84: Duplicate column name 'Grant_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 95: Duplicate column name 'ssl_type'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1061 (42000) at line 106: Duplicate key name 'Grantor'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1054 (42S22) at line 132: Unknown column 'Type' in 'columns_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 154: Duplicate column name 'type'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 164: Duplicate column name 'Show_db_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 181: Duplicate column name 'max_questions'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 191: Duplicate column name 'Create_tmp_table_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 194: Duplicate column name 'Create_tmp_table_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 288: Duplicate column name 'Create_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 291: Duplicate column name 'Create_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 294: Duplicate column name 'Create_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 300: Duplicate column name 'Show_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 303: Duplicate column name 'Show_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 306: Duplicate column name 'Show_view_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 323: Duplicate column name 'Create_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 326: Duplicate column name 'Create_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 329: Duplicate column name 'Create_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 335: Duplicate column name 'Alter_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 338: Duplicate column name 'Alter_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 341: Duplicate column name 'Alter_routine_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 344: Duplicate column name 'Execute_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 347: Duplicate column name 'Execute_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 360: Duplicate column name 'max_user_connections'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 369: Duplicate column name 'Create_user_priv'
Oct 24 15:48:33 sme-server mysql.init: ERROR 1060 (42S21) at line 387: Duplicate column name 'Routine_type'
Oct 24 15:48:33 sme-server mysql.init: @hadGrantPriv:=1
Oct 24 15:48:33 sme-server mysql.init: 1
Oct 24 15:48:33 sme-server mysql.init: @hadShowDbPriv:=1
Oct 24 15:48:33 sme-server mysql.init: 1
Oct 24 15:48:33 sme-server mysql.init: @hadCreateViewPriv:=1
Oct 24 15:48:33 sme-server mysql.init: 1
Oct 24 15:48:33 sme-server mysql.init: @hadCreateRoutinePriv:=1
Oct 24 15:48:33 sme-server mysql.init: 1
Oct 24 15:48:33 sme-server mysql.init: @hadCreateUserPriv:=1
Oct 24 15:48:33 sme-server mysql.init: 1
Oct 24 15:48:33 sme-server mysql.init: waiting for mysqld to restart
Additional info:
# rpm -qf /usr/bin/mysql
mysql-5.0.77-4.el5_6.6