Java_Bytecode pair #487571368

details

property	value
status	complete
benchmark	GCD3.jar
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	Aprove_09

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.91997408867 seconds
cpu usage	6.970750799
max memory	5.07052032E8

stage attributes

key	value
output-size	12484
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


termination of the given Bare JBC problem could be proven:

(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 294 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) JBCTerminationSCC
(7) SCCToIRSProof [SOUND, 120 ms]
(8) IRSwT
(9) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(10) IRSwT
(11) IRSwTTerminationDigraphProof [EQUIVALENT, 35 ms]
(12) IRSwT
(13) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(14) IRSwT
(15) TempFilterProof [SOUND, 56 ms]
(16) IntTRS
(17) PolynomialOrderProcessor [EQUIVALENT, 18 ms]
(18) IntTRS
(19) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
(20) YES


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(0)
Obligation:
need to prove termination of the following program:
public class GCD3 {
  public static int mod(int a, int b) {
    if(b == 0) {
      return b;
    }
    if(b < 0) {
      a = -a;
    }
    if(a > 0) {
      while(a>=b) {
        a -= b;
      }
      return a;
    } else {
      while(a < 0) {
        a -= b;
      }
      return a;
    }
  }

  public static int gcd(int a, int b) {
    int tmp;
    while(b > 0 && a > 0) {
      tmp = b;
      b = mod(a, b);
      a = tmp;
    }
    return a;
  }

  public static void main(String[] args) {
    Random.args = args;
    int x = Random.random();
    int y = Random.random();
    gcd(x, y);
  }
}


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

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



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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
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