Termination of the given JBC could be proven:

(0) Obligation:

JBC Problem based on JBC Program:

/**
 * Example taken from "A Term Rewriting Approach to the Automated Termination
 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
 * and converted to Java.
 */

public class PastaA5 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x >= y + 1) {
            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:
PastaA5.main([Ljava/lang/String;)V: Graph of 176 nodes with 1 SCC.

(3) TerminationGraphToSCCProof (SOUND transformation)

Splitted TerminationGraph to 1 SCCs.

(4) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: PastaA5.main([Ljava/lang/String;)V
SCC calls the following helper methods:
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  
• Marker field analysis yielded the following relations that could be markers:
  

(5) SCCToIntTRSProof (SOUND transformation)

Transformed FIGraph SCCs to intTRSs. Log:

Generated rules. Obtained 9 IRules

P rules:
f382_0_main_Load(EOS, i18, i52, i18) → f390_0_main_ConstantStackPush(EOS, i18, i52, i18, i52)
f390_0_main_ConstantStackPush(EOS, i18, i52, i18, i52) → f407_0_main_IntArithmetic(EOS, i18, i52, i18, i52, 1)
f407_0_main_IntArithmetic(EOS, i18, i52, i18, i52, matching1) → f418_0_main_LT(EOS, i18, i52, i18, +(i52, 1)) | &&(>=(i52, 0), =(matching1, 1))
f418_0_main_LT(EOS, i18, i52, i18, i65) → f427_0_main_LT(EOS, i18, i52, i18, i65)
f427_0_main_LT(EOS, i18, i52, i18, i65) → f442_0_main_Inc(EOS, i18, i52) | >=(i18, i65)
f442_0_main_Inc(EOS, i18, i52) → f458_0_main_JMP(EOS, i18, +(i52, 1)) | >=(i52, 0)
f458_0_main_JMP(EOS, i18, i71) → f499_0_main_Load(EOS, i18, i71)
f499_0_main_Load(EOS, i18, i71) → f373_0_main_Load(EOS, i18, i71)
f373_0_main_Load(EOS, i18, i52) → f382_0_main_Load(EOS, i18, i52, i18)

Combined rules. Obtained 1 IRules

P rules:
f382_0_main_Load(EOS, x0, x1, x0) → f382_0_main_Load(EOS, x0, +(x1, 1), x0) | &&(>(+(x1, 1), 0), <=(+(x1, 1), x0))

Filtered ground terms:

f382_0_main_Load(x1, x2, x3, x4) → f382_0_main_Load(x2, x3, x4)
Cond_f382_0_main_Load(x1, x2, x3, x4, x5) → Cond_f382_0_main_Load(x1, x3, x4, x5)

Filtered duplicate terms:

f382_0_main_Load(x1, x2, x3) → f382_0_main_Load(x2, x3)
Cond_f382_0_main_Load(x1, x2, x3, x4) → Cond_f382_0_main_Load(x1, x3, x4)

Prepared 1 rules for path length conversion:

P rules:
f382_0_main_Load(x1, x0) → f382_0_main_Load(+(x1, 1), x0) | &&(>(+(x1, 1), 0), <=(+(x1, 1), x0))

Finished conversion. Obtained 1 rules.

P rules:
f382_0_main_Load(x0, x1) → f382_0_main_Load(+(x0, 1), x1) | &&(>(x0, -1), >=(x1, +(x0, 1)))

(6) Obligation:

Rules:
f382_0_main_Load(x0, x1) → f382_0_main_Load(+(x0, 1), x1) | &&(>(x0, -1), >=(x1, +(x0, 1)))

(7) PolynomialOrderProcessor (EQUIVALENT transformation)

Found the following polynomial interpretation:

[f382_0_main_Load(x3, x5)] = -x3 + x5

Therefore the following rule(s) have been dropped:

f382_0_main_Load(x0, x1) → f382_0_main_Load(+(x0, 1), x1) | &&(>(x0, -1), >=(x1, +(x0, 1)))

(8) YES