Rewrote the example setup to have only one Docker container

config/nginx.conf

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+server {
+    listen [::]:80 default_server;
+    listen 80 default_server;
+    server_name _;
+
+	sendfile off;
+
+	root /var/www/html;
+	index index.php index.html;
+
+    error_log /dev/stderr info;
+	access_log /dev/stdout;
+
+	location / {
+		# First attempt to serve request as file, then
+		# as directory, then fall back to index.php
+		try_files $uri $uri/ /index.php?q=$uri&$args;
+	}
+
+	# redirect server error pages to the static page /50x.html
+    #
+	error_page 500 502 503 504 /50x.html;
+	location = /50x.html {
+		root /usr/share/nginx/html;
+	}
+
+	# pass the PHP scripts to FastCGI server listening on 127.0.0.1:9000
+	#
+	location ~ \.php$ {
+        try_files $uri =404;
+		fastcgi_split_path_info ^(.+\.php)(/.+)$;
+		fastcgi_pass  localhost:9000;
+		fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
+        fastcgi_param SCRIPT_NAME $fastcgi_script_name;
+		fastcgi_index index.php;
+		include fastcgi_params;
+	}
+
+    location ~* \.(jpg|jpeg|gif|png|css|js|ico|xml)$ {
+        expires 5d;
+    }
+
+	# deny access to . files, for security
+	#
+	location ~ /\. {
+        log_not_found off;
+        deny all;
+	}
+}

config/php.ini

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+[Date]
+date.timezone="Europe/Amsterdam"

config/supervisord.conf

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+[supervisord]
+nodaemon=true
+
+[program:php-fpm]
+command=php-fpm
+stdout_logfile=/dev/stdout
+stdout_logfile_maxbytes=0
+stderr_logfile=/dev/stderr
+stderr_logfile_maxbytes=0
+
+[program:nginx]
+command=nginx -g 'daemon off;'
+stdout_logfile=/dev/stdout
+stdout_logfile_maxbytes=0
+stderr_logfile=/dev/stderr
+stderr_logfile_maxbytes=0