HTTP connection closed while reading GZIP compressed input streams

Question

I need to process large gzip-compressed text files.

InputStream is = new GZIPInputStream(new FileInputStream(path));
BufferedReader br = new BufferedReader(new InputStreamReader(is));
String line;
while ((line = br.readLine()) != null) {
    someComputation();  
}

This code works if I don't do any long computations inside the loop (which I have to). But adding only a few milliseconds of sleep for each line causes the program to crash eventually with a java.util.zip.ZipException. The exception's message is different every time ("invalid literal/length code", "invalid block type", "invalid stored block lengths").
So, it seems that the stream becomes corrupted when I'm not reading it quickly enough.

I can unzip the files without any problems. I also tried GzipCompressorInputStream from Apache Commons Compress with the same result.
What is the problem here and how can it be solved?

update 1

I thought I had ruled this out, but doing more tests, I found that the problem is restricted to streaming files from the internet.

full example:

URL source = new URL(url);      
HttpURLConnection connection = (HttpURLConnection) source.openConnection();
connection.setRequestMethod("GET"); 
connection.setRequestProperty("Accept", "gzip, deflate"); 
BufferedReader br = new BufferedReader(new InputStreamReader(new GZIPInputStream(connection.getInputStream())));        
String line;
while ((line = br.readLine()) != null) { //exception is thrown here
    Thread.sleep(5);  
}

Interestingly, when I printed the line numbers, I found that it's always one of the same four or five different lines where my program crashes.

update 2

Here is a full example containing an actual file:

import java.io.BufferedInputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.net.HttpURLConnection;
import java.net.URL;
import java.util.zip.GZIPInputStream;


public class TestGZIPStreaming {

    public static void main(String[] args) throws IOException {

        URL source = new URL("http://tools.wmflabs.org/wikidata-exports/rdf/exports/20151130/wikidata-statements.nt.gz");      
        HttpURLConnection connection = (HttpURLConnection) source.openConnection();
        connection.setRequestMethod("GET"); 
        connection.setRequestProperty("Accept", "gzip, deflate"); 
        BufferedReader br = new BufferedReader(new InputStreamReader(new GZIPInputStream(connection.getInputStream())));       

        String line;
        int n = 0;

        while ((line = br.readLine()) != null) { //exception is thrown here
            Thread.sleep(10);  
            System.out.println(++n);
        }

    }

}

For this file the crashes appear around line 90000.

To rule out a timeout problem I tried connection.setReadTimeout(0) - with no effect.

It probably is a network issue. But since I can download the file in a browser, there has to be a way to deal with it.

update 3

I tried connecting using Apache HttpClient.

HttpClient client = HttpClients.createDefault();
HttpGet get = new HttpGet("http://tools.wmflabs.org/wikidata-exports/rdf/exports/20151130/wikidata-statements.nt.gz");
get.addHeader("Accept-Encoding", "gzip");
HttpResponse response = client.execute(get);
BufferedReader br = new BufferedReader(new InputStreamReader(new GZIPInputStream(new BufferedInputStream(response.getEntity().getContent()))));

Now I'm getting the following exception which is probably more helpful.

org.apache.http.ConnectionClosedException: Premature end of Content-Length delimited message body (expected: 3850131; received: 1581056
at org.apache.http.impl.io.ContentLengthInputStream.read(ContentLengthInputStream.java:180)
at org.apache.http.conn.EofSensorInputStream.read(EofSensorInputStream.java:137)
at java.io.BufferedInputStream.fill(BufferedInputStream.java:246)
at java.io.BufferedInputStream.read1(BufferedInputStream.java:286)
at java.io.BufferedInputStream.read(BufferedInputStream.java:345)
at java.util.zip.InflaterInputStream.fill(InflaterInputStream.java:238)
at java.util.zip.InflaterInputStream.read(InflaterInputStream.java:158)
at java.util.zip.GZIPInputStream.read(GZIPInputStream.java:117)
at sun.nio.cs.StreamDecoder.readBytes(StreamDecoder.java:284)
at sun.nio.cs.StreamDecoder.implRead(StreamDecoder.java:326)
at sun.nio.cs.StreamDecoder.read(StreamDecoder.java:178)
at java.io.InputStreamReader.read(InputStreamReader.java:184)
at java.io.BufferedReader.fill(BufferedReader.java:161)
at java.io.BufferedReader.readLine(BufferedReader.java:324)
at java.io.BufferedReader.readLine(BufferedReader.java:389)

Again, there has to be a way to handle the problem since I can download the file in a browser and decompress it without any problem.