Termination of the given JBC could be proven:

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_20 (Sun Microsystems Inc.) Main-Class: IntPath

public class IntPath {
    public static void main(String[] args) {
        Random.args = args;
        int i = Random.random();
		int x = 0;
		int y = 0;
		if (i > 10) {
			x = 1;
		} else {
			y = 1;
		}
		while (x == y);
    }
}


public class Random {
  static String[] args;
  static int index = 0;

  public static int random() {
    String string = args[index];
    index++;
    return string.length();
  }
}

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
IntPath.main([Ljava/lang/String;)V: Graph of 121 nodes with 0 SCCs.

(3) TerminationGraphToSCCProof (SOUND transformation)

Proven termination by absence of SCCs

(4) TRUE