Service Detected on OEM but not in SRVCTL or SERVICE_NAMES Parameter?

Okey, it happens.
To me, after a database moving from a cluster to another. The service was registered by SRVCTL in the old cluster but is not needed. So, was not registered in the new cluster.
But OEM insists to list, for example, the “service3” as offline. The problem is that you can not remove it by SRVCTL, because you had not registered, right? See the example below:

Listing services:
srvdatabase1:/home/oracle>srvctl status service -d systemdb
Service service1_systemdb is running on nodes: srvdatabase1
Service service2 is running on nodes: srvdatabase1
Service service2_systemdb is running on nodes: srvdatabase1

In the service_name parameter:
srvdatabase1:/home/oracle>sqlplus / as sysdba
SQL*Plus: Release 11.2.0.3.0 Production on Mon Jun 8 15:21:00 2015
Copyright (c) 1982, 2009, Oracle.  All rights reserved.
Connected to:
Oracle Database 11g Enterprise Edition Release 11.2.0.3.0 - 64bit Production
With the Partitioning, Real Application Clusters, Automatic Storage Management, OLAP,
Data Mining and Real Application Testing options
SQL> show parameters service;
NAME                                 TYPE
------------------------------------ --------------------------------
VALUE
------------------------------
service_names                        string
service2,test,systemdb

And the offline alarm goes to “service3“?
The easiest fix:

SQL> exec dbms_service.DELETE_SERVICE('service3');
PL/SQL procedure successfully completed.

Matheus.