SRS Stand 10685 pair #381718152

details

property	value
status	complete
benchmark	s6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Mixed_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.02431702614 seconds
cpu usage	15.16236449
max memory	1.620815872E9

stage attributes

key	value
output-size	14211
starexec-result	YES

output

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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) QTRS Reverse [EQUIVALENT, 0 ms]
(2) QTRS
(3) QTRSRRRProof [EQUIVALENT, 38 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 26 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) MNOCProof [EQUIVALENT, 0 ms]
        (11) QDP
        (12) UsableRulesProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) QReductionProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (17) YES
    (18) QDP
        (19) MNOCProof [EQUIVALENT, 0 ms]
        (20) QDP
        (21) UsableRulesProof [EQUIVALENT, 0 ms]
        (22) QDP
        (23) QReductionProof [EQUIVALENT, 0 ms]
        (24) QDP
        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (26) YES
    (27) QDP
        (28) UsableRulesProof [EQUIVALENT, 0 ms]
        (29) QDP
        (30) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (31) YES


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(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   a12(a12(x1)) -> x1
   a13(a13(x1)) -> x1
   a14(a14(x1)) -> x1
   a15(a15(x1)) -> x1
   a16(a16(x1)) -> x1
   a23(a23(x1)) -> x1
   a24(a24(x1)) -> x1
   a25(a25(x1)) -> x1
   a26(a26(x1)) -> x1
   a34(a34(x1)) -> x1
   a35(a35(x1)) -> x1
   a36(a36(x1)) -> x1
   a45(a45(x1)) -> x1
   a46(a46(x1)) -> x1
   a56(a56(x1)) -> x1
   a13(x1) -> a12(a23(a12(x1)))
   a14(x1) -> a12(a23(a34(a23(a12(x1)))))
   a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1)))))))
   a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1)))))))))
   a24(x1) -> a23(a34(a23(x1)))
   a25(x1) -> a23(a34(a45(a34(a23(x1)))))
   a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1)))))))
   a35(x1) -> a34(a45(a34(x1)))
   a36(x1) -> a34(a45(a56(a45(a34(x1)))))
   a46(x1) -> a45(a56(a45(x1)))
   a12(a23(a12(a23(a12(a23(x1)))))) -> x1
   a23(a34(a23(a34(a23(a34(x1)))))) -> x1
   a34(a45(a34(a45(a34(a45(x1)))))) -> x1
   a45(a56(a45(a56(a45(a56(x1)))))) -> x1
   a12(a34(x1)) -> a34(a12(x1))
   a12(a45(x1)) -> a45(a12(x1))
   a12(a56(x1)) -> a56(a12(x1))
   a23(a45(x1)) -> a45(a23(x1))
   a23(a56(x1)) -> a56(a23(x1))
   a34(a56(x1)) -> a56(a34(x1))

Q is empty.

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(1) QTRS Reverse (EQUIVALENT)
We applied the QTRS Reverse Processor [REVERSE].
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(2)
Obligation:

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job log

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