Termination of the given JBC could be proven:

(0) Obligation:

JBC Problem based on JBC Program:

package RetValRec;

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

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


package RetValRec;

public class RetValRec {
	public static void main(String[] args) {
		Random.args = args;
		int x = Random.random() % 2;
		int y = ret(x);
		test(x,y);
	}

	public static int ret(int x) {
		if (x == 0) return 1;
		else return 0;
	}

	public static boolean test(int x, int y) {
		if (x != y) return true;
		else return test(x-1, y-1);
	}
}

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
RetValRec.RetValRec.main([Ljava/lang/String;)V: Graph of 133 nodes with 0 SCCs.

(3) TerminationGraphToSCCProof (SOUND transformation)

Proven termination by absence of SCCs

(4) TRUE