Java Bytec 64199 pair #381919506

details

property	value
status	complete
benchmark	TimesPlusUserDef.jar
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	BOG_RTA_11

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.48783302307 seconds
cpu usage	9.643730789
max memory	7.36980992E8

stage attributes

key	value
output-size	20550
starexec-result	YES

output

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


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YES
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 705 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) JBCTerminationSCC
        (8) SCCToIRSProof [SOUND, 78 ms]
        (9) IRSwT
        (10) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (11) IRSwT
        (12) IRSwTTerminationDigraphProof [EQUIVALENT, 37 ms]
        (13) AND
            (14) IRSwT
                (15) IntTRSCompressionProof [EQUIVALENT, 0 ms]
                (16) IRSwT
                (17) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
                (18) IRSwT
                (19) TempFilterProof [SOUND, 4 ms]
                (20) IntTRS
                (21) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
                (22) YES
            (23) IRSwT
                (24) IntTRSCompressionProof [EQUIVALENT, 0 ms]
                (25) IRSwT
                (26) TempFilterProof [SOUND, 7 ms]
                (27) IntTRS
                (28) RankingReductionPairProof [EQUIVALENT, 0 ms]
                (29) YES
    (30) JBCTerminationSCC
        (31) SCCToIRSProof [SOUND, 41 ms]
        (32) IRSwT
        (33) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (34) IRSwT
        (35) IRSwTTerminationDigraphProof [EQUIVALENT, 11 ms]
        (36) IRSwT
        (37) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (38) IRSwT
        (39) TempFilterProof [SOUND, 35 ms]
        (40) IntTRS
        (41) RankingReductionPairProof [EQUIVALENT, 9 ms]
        (42) YES


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(0)
Obligation:
need to prove termination of the following program:
public class TimesPlusUserDef {
	public static void main(String[] args) {
		int x, y;
		x = args[0].length();
		y = args[1].length();
		times(x, y);
	}

	public static int times(int x, int y) {
		if (y == 0)
			return 0;
		if (y > 0)
			return plus(times(x, y - 1), x);
		return 0;
	}

	public static int plus(int x, int y) {
		if (y > 0) {
			return 1 + plus(x, y-1);
		} else if (x > 0) {
			return 1 + plus(x-1, y);
		} else {
			return 0;
		}
	}
}



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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
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(2)
Obligation:

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