Apache just does not run after SSL Installation

The SSLCipherSuite line should go outside the Virtual Host, in /etc/httpd/conf.d/ssl.conf file of openssl (CentOS), as follows:

SSLCipherSuite HIGH:!aNULL

SSLProtocol all -SSLv2 -SSLv3 -TLSv1

SSLHonorCipherOrder on

In the Apache configuration (in CentOS /etc/httpd/conf/httpd.conf), for example, as follows:

<VirtualHost *:443>

SSLEngine on

SSLCertificateFile /phat-to-certificate/cert.pem

SSLCertificateChainFile /phat-to-certificate/chain.pem

SSLCertificateKeyFile /phat-to-certificate/privkey.pem

SSLCACertificateFile /phat-to-certificate//fullchain.pem

SSLProtocol all -SSLv2 -SSLv3

SSLHonorCipherOrder on

It works well for me: https://www.ssllabs.com/ssltest/analyze.html?d=vistaalmar.es&latest