Nginx PHP-FPM configuration

Hello,
I am setting up October CMS on Centmin.

How do I get the nginx config example below working with centmin mod? It causes the Nginx to fail to restart.

location ~ \.php$ {
include default.d/php.conf;
include fastcgi_params;
fastcgi_pass unix:/run/php-fpm/www.sock;
fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
fastcgi_read_timeout 120s;
}

The strange thing is that I can get October cms to run with just:
location / {
rewrite ^/.*$ /index.php last;
}

Why would PHP scripts work with Nginx if I have not yet done any configuration to pass
PHP scripts to the FastCGI server? How is PHP being processed by Nginx when I don't have fastcgi_pass / fastcgi_param configured? I am a little confused!

Thanks

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Thanks for the quick reply which clarified things. Took a look at the global config and saw dft_php which I tracked down out of curiosity!