Java Bytec 64199 pair #381919420

details

property	value
status	complete
benchmark	DivMinus.jar
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	BOG_RTA_11

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.62638187408 seconds
cpu usage	13.258428232
max memory	8.24221696E8

stage attributes

key	value
output-size	191592
starexec-result	YES

output

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


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


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.jar
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


termination of the given Bare JBC problem could be proven:

(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 97 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 689 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) JBCTerminationSCC
        (8) SCCToQDPProof [SOUND, 155 ms]
        (9) QDP
        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (11) YES
    (12) JBCTerminationSCC
        (13) SCCToQDPProof [SOUND, 262 ms]
        (14) QDP
        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (16) YES
    (17) JBCTerminationSCC
        (18) SCCToQDPProof [SOUND, 540 ms]
        (19) QDP
        (20) DependencyGraphProof [EQUIVALENT, 0 ms]
        (21) TRUE
    (22) JBCTerminationSCC
        (23) SCCToIRSProof [SOUND, 2 ms]
        (24) IRSwT
        (25) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (26) IRSwT
        (27) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
        (28) IRSwT
        (29) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (30) IRSwT
        (31) TempFilterProof [SOUND, 39 ms]
        (32) IntTRS
        (33) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (34) YES


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

(0)
Obligation:
need to prove termination of the following program:
package Nats;

public class DivMinus {

    public static Nats minus(final Nats x, final Nats y) {
        if (y.isZero()) {
            return x.copy();
        }
        if (x.isZero()) {
            return Nats.zero();
        }
        return minus(x.pred, y.pred);
    }

    public static Nats div(final Nats x, final Nats y) {
        if (y.isZero()) {
            return Nats.zero();
        }
        if (x.isZero()) {
            return Nats.zero();
        }
        return Nats.succ(div(minus(x.pred, y.pred), y));
    }

    public static void main(final String[] args) {

        final Nats x = new Nats(args[0].length());
        final Nats y = new Nats(args[1].length());

        final Nats z = div(x, y);

        // System.out.println(x + " / " + y + " = " +  z);

    }
}


package Nats;

public class Nats {
    Nats pred;

    public Nats() {
    }

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